Biannual Report - Fachbereich Mathematik - Technische UniversitÃ¤t ...

Biannual Report 

Department of Mathematics 

2011 and 2012

Contents 

1 Research 5 

1.1 Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 

1.1.1 Center of Smart Interfaces . . . . . . . . . . . . . . . . . . . . . . . . . . 5 

1.1.2 Collaborative Research Centre SFB 568 . . . . . . . . . . . . . . . . . . 6 



1.1.5 Graduate School of Computational Engineering . . . . . . . . . . . . . 7 

1.1.6 Graduate School of Energy Science and Engineering . . . . . . . . . . 8 

1.1.7 International Research Training Group IRTG 1529 . . . . . . . . . . . 8 

1.1.8 LOEWE Centre AdRIA . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 

1.1.9 LOEWE Research Priority Program Cocoon . . . . . . . . . . . . . . . . 9 

1.2 Research Groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 

1.2.1 Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 

1.2.2 Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 

1.2.3 Applied Geometry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 

1.2.4 Didactics and Pedagogics of Mathematics . . . . . . . . . . . . . . . . . 37 

1.2.5 Logic . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 

1.2.6 Numerical Analysis and Scientific Computing . . . . . . . . . . . . . . 57 

1.2.7 Optimization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69 

1.2.8 Stochastics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84 

1.3 Memberships in Scientific Boards and Committees . . . . . . . . . . . . . . . . 91 

1.4 Awards and Offers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94 

2 Teaching 96 

2.1 Degree Programmes in Mathematics . . . . . . . . . . . . . . . . . . . . . . . . 96 

2.2 Teaching for Other Departments . . . . . . . . . . . . . . . . . . . . . . . . . . . 98 

2.3 Characteristics in Teaching . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99 

2.4 E-Learning/E-Teaching in Academic Training . . . . . . . . . . . . . . . . . . . 101 

2.5 Student Body (Fachschaft) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103 

3 Publications 105 

3.1 Co-Editors of Publications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105 

3.1.1 Editors of Journals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105 

3.1.2 Editors of Proceedings . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107 

3.1.3 Editors of a Festschrift . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107 

3.2 Monographs and Books . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 108 

3.3 Publications in Journals and Proceedings . . . . . . . . . . . . . . . . . . . . . 108 

3.3.1 Journals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 108 

3.3.2 Proceedings and Chapters in Collections . . . . . . . . . . . . . . . . . 121 

3.4 Preprints . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 128 

3.5 Reviewing and Refereeing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 133 

3.5.1 Reviewing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 133 

3.5.2 Refereeing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 133

3.6 Software . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136 

4 Theses 139 

4.1 Habilitations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139 

4.2 PhD Dissertations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139 

4.3 Diplom Theses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141 

4.4 Master Theses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 146 

4.5 Staatsexamen Theses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 150 

4.6 Bachelor Theses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152 

5 Presentations 160 

5.1 Talks and Visits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 160 

5.1.1 Invited Talks and Addresses . . . . . . . . . . . . . . . . . . . . . . . . . 160 

5.1.2 Contributed Talks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 185 

5.1.3 Visits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 199 

5.2 Organization of Conferences and Workshops . . . . . . . . . . . . . . . . . . . 203 

6 Workshops and Visitors at the Department 209 

6.1 The Colloquium . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 209 

6.2 Seminar Talks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 213 

6.3 Visitors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 223 

6.4 Workshops and Conferences . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 231 

6.5 Scientific and Industrial Cooperations . . . . . . . . . . . . . . . . . . . . . . . 234 

6.6 Secondary Schools and Public Relations . . . . . . . . . . . . . . . . . . . . . . 250 

7 Contact 253 

2 Contents

Dear Reader, Dear Friend of the Department of Mathematics at TU Darmstadt! 

Mathematics is a very traditional science, and yet has changed substantially over the past 

decades. New real world applications have increased the interest in mathematical techniques 

and strengthened the role of applied mathematics as well as of the pure disciplines. 

The structure of our department reflects these developments: our eight research groups 

are centred around well-defined topics, but they each combine branches of expertise which 

would traditionally be separated across the divide of pure and applied mathematics. 

The pivotal role of mathematics at a technical university primarily rests on those areas 

of mathematics that have close ties with engineering and the sciences, such as numerical 

analysis, optimization, and much of stochastics and analysis. Nevertheless, we firmly 

believe that both research and teaching take advantage of the full spectrum of mathematics 

and the interactions it creates. We consequently strive for a good balance between 

our strengths in areas with more immediate applications and in more theoretical areas of 

mathematics. 

Looking back onto the past two years, we would like to mention some highlights. 

It is good news that at the time of writing the department has successfully filled all its permanent 

professorship positions. Noteworthy enough, this is for the first time in at least 10 

years. We welcome the new faculty employed in 2011/12, namely Volker Betz (stochastics), 

Herbert Egger (numerical analysis), Marc Pfetsch (optimization), and Irwin Yousept 

(optimization/CE), and are looking forward to successful future work. Moreover, two 

outstanding colleagues, namely Jan Bruinier (algebra) and Stefan Ulbrich (optimization), 

who had offers from other universities, could be retained for the department. 

The department hosted two large-scale international conferences: in May 2011, the SIAM 

conference on optimization, with Stefan Ulbrich as the local organiser; and in March 2012, 

the GAMM Annual Meeting of the Association of Applied Mathematics and Mechanics, with 

Hans-Dieter Alber as the mathematics co-chair of the local organising committee. Both 

meetings made use of the facilities at the Darmstadtium conference centre. 

The German Science Foundation (DFG) decided in 2012 on extensions of the programmes 

funded by the Exzellenzinitiative. Our department is crucially involved in two of these. 

Funding for the graduate school Computational Engineering was extended in an expanded 

format. Regrettably, the Cluster Center of Smart Interfaces was not awarded funding for 

another five year period, very favourable reviews of its performance notwithstanding. Alternative 

strategies for funding are currently under investigation. 

We want to mention two very different prizes that the department can be proud of. In 

2011, Ulrich Kohlenbach (logic) won the prestigious Kurt Gödel Research Prize, including 

100000 euros. Our university awarded a prize for interdisciplinary teaching to Martin 

Ziegler (logic). 

Let us mention some research initiatives, which are documented in more detail in this 

report. 

The International Research Training Group Mathematical Fluid Dynamics is a joint project 

of our department with two Japanese partners, Waseda University and University of Tokyo. 

The project leader at TU Darmstadt is Matthias Hieber. The work of the group up to 2012 

was very favourably reviewed in January 2013, and we are confident that DFG will approve 

the 5-year extension. 

Preface 3

The department is involved in two current DFG-Sonderforschungsbereiche of our university: 

SFB 805, Control of Uncertainties in Load-Carrying Structures in Mechanical Engineering, 

for which funding was extended in 2012, and SFB 666, Integral Sheet Metal Design with 

Higher Order Bifurcations. Another Sonderforschungsbereich the department was involved 

in, SFB 568, Flow and Combustion in Future Gas Turbine Cobustion Chambers, reached the 

end of its funding in December 2011. Third party funding for these and other projects 

has grown by about a factor 10 over the last decade, and now exceeds 4 million euros per 

annum. Our report gives an impression of all these and many more activities by members 

of our department. 

Teaching is another important part of our work, and we can claim to teach more students 

and to have more graduates than most other mathematics departments in Germany. We 

place particular emphasis on the quality of our teaching, for instance by complementing 

lectures with small exercise groups – not just for our own students, but also for the engineering 

and science students we teach in mathematics. Our efforts are rewarded in various 

rankings and through the preference applicants give to our department. 

Over the past years, our department and the university at large have been faced with a vast 

increase in student numbers. Admission numbers of other departments can have dramatic 

effects on courses taught by our department. In some cases we even had to deal with class 

sizes that far exceeded the seating capacity of available lecture halls. 

We have experienced only a moderate increase of students in the mathematics degree 

schemes, but also here, the large number of drop-outs has been perceived as a problem. To 

ascertain that students admitted to study programmes in mathematics meet our standards, 

both in terms of motivation and prerequisites, the department introduced new admission 

procedures in 2011, involving a so-called Eignungsfeststellungsverfahren. Below a certain 

level of baccalaureate grades, applicants are now invited for an interview. Although the 

vast majority of applicants interviewed are accepted, we suspect that the procedure will 

have substantial impact on the selection and performance of our Bachelor cohorts; this 

effect may be even stronger for the teaching degrees (Lehramt). The department will 

monitor the effects of this new measure. 

In 2011 the department had its Bachelor and Master degree schemes re-accredited by the 

agency Asiin. As observed by Asiin, we are facing a particular challenge in balancing 

our high teaching load towards other departments with the demands of our own degree 

schemes. By terminating admission of new Bachelor students to mathematics programmes 

in the summer, the department has managed to strengthen its Master programme and to 

retain attractive features of its Bachelor programme, such as the bilingual stream. 

With two separate locations in town, the department now has the volume of rooms it 

needs. Nevertheless the split in location is unfortunate for our daily work – we look forward 

to being reunited in a common building, as promised by our university, before 2020. 

We hope that the present biannual report contains the information that you, the reader, 

are interested in and thank you for your interest in our work. 

Burkhard Kümmerer, Karsten Grosse-Brauckmann, Martin Otto 

(Dean, Vice-Dean, Dean of Studies of the Department of Mathematics) 

4 Preface

1 Research 

1.1 Overview 

Besides the research done in the eight research groups, the department is involved in 

a number of interdisciplinary research projects including excellence projects, collaborative 

research centres and priority programs. This section gives a brief overview of these 

activities. 

1.1.1 Center of Smart Interfaces 

The Center of Smart Interfaces (CSI) is a Cluster of Excellence (EXC 259), funded by the 

German Research Foundation (DFG). The initial funding period started in November 2008 

and runs until October 2014, having a total volume of about 42 Million EUR. The CSI is an 

international center for interdisciplinary research, focusing on the scientific areas “static 

and dynamic wettability”, “heat transfer enhancement”, “near wall reactive flows”, “near 

wall multiphase flows” and “drag and circulation control” with the aim to understand and 

design fluid boundaries. 

The CSI has 24 Principal Investigators, combining the expertise of the departments of Mechanical 

Engineering, Physics, Chemistry, Mathematics, and Material Sciences at the TU 

Darmstadt with four non-University research institutes in Darmstadt and Mainz. In addition, 

six research professors and three young research group leaders were newly appointed 

at the Cluster of Excellence. 

With the four Principal Investigators Reinhard Farwig, Matthias Hieber, Jens Lang and 

Stefan Ulbrich and the two newly appointed professors Dieter Bothe and Jürgen Saal, the 

Department of Mathematics is strongly involved in the CSI. Scientifically, mathematics also 

plays an eminent role for the fundamental research in all of the above mentioned areas 

which is performed at the CSI. The involved mathematical disciplines are Mathematical 

Modeling, Analysis of Partial Differential Equations, Numerical Analysis, and Optimization. 

This enabled relevant contributions to the understanding of continuum mechanical flow 

models via their mathematical analysis, numerical simulation and the solution of inverse 

problems such as the optimization concerning complex model parameters. 

The CSI was involved in several activities in mathematics. Both in 2011 and 2012, a section 

on Interfacial Flows was co-organized by members of the mathematical group from 

the CSI. At the CSI, the seminar series on experiments, modeling and theory of contact 

line dynamics was continued. Furthermore, together with the IRTG ”Mathematical Fluid 

Dynamics” and the Graduate School ”Computational Engineering”, the International Workshop 

on Modeling, Simulation and Optimization of Complex Fluid Flows was organized 

by Bothe, Lukacova, Schäfer and Ulbrich in June 2012. With main speakers including Y. 

Bazilevs, K. Kunisch, R. Kupfermann, R. Löhner, A. Reusken, M. Tabata, Y. Teramoto, and 

S. Turek, this was an outstanding international event. Another highlight was the 7 th International 

OpenFOAM Workshop with more than 300 participants from all over the world. 

Finally, the CSI was strongly involved in the organization of the GAMM annual meeting 

2012. 

1 Research 5

1.1.2 Collaborative Research Centre SFB 568 

The Collaborative Research Centre SFB 568 “Flow and Combustion in Future Gas Turbine 

Combustion Chambers" started in 2001 and aims at the formulation of an integral 

model for the development and optimization of new gas turbine combustion chamber 

concepts which make more efficient use of rare resources in the conversion of energy compared 

to today’s technology. The main points that have to be considered are the occuring 

and highly complex coupled and interacting physico-chemical processes such as turbulent 

transport, two- or multi-phase flows, materials transport, chemical reactions/combustion 

and radiation. The integral model comprises four main elements: 

1. submodels of physical/chemical mechanisms and interactions 

2. suitable numerical methods 

3. consideration of basic conditions and neighboring components and interactions 

4. implementation of targeted validation experiments 

The Department of Mathematics contributes to the SFB 568 within two subprojects (Lang, 

Ulbrich). The topics under investigation are the control of errors of the numerical simulation, 

model reduction techniques and the numerical optimization of gas turbine relevant 

problems. To control and estimate errors of the complex numerical simulations, grid refinement 

strategies based on suitable error estimators are investigated. To reduce the 

cost of the simulations, model reduction techniques are further developed to account for 

turbulence (Lang). Since the simulation itself is a challenging task, new mathematical 

techniques for the optimization have to be developed that make optimization applicable 

in reasonable time (Ulbrich). 


The Collaborative Research Centre SFB 666 “Integral Sheet Metal Design with Higher 

Order Bifurcations”, established in 2005, considers the enormous prospective potential 

of the new technique linear flow splitting for sheet metal and develops methodical tools 

to integrate this technique into the product development processes. The collaborative 

research centre SFB 666 is currently in its second funding period, the proposal for the 

third has just been evaluated. 

The investigated technologies of the SFB, linear flow splitting and linear bend splitting, 

make it possible to produce branched sheet metal products in integral style. Hereby the 

disadvantages of conventional procedures to create branched sheet metal structures, e.g., 

gluing or welding, can be avoided. The SFB is structured into the four main units of development, 

production, evaluation and synthesis. In each of these units, new methodologies, 

techniques and procedures arise. They cope with all occurring unique requirements of this 

new product category. Engineers are involved in the research center as well as mathematicians 

and material scientists. This interdisciplinary research environment has lead to novel 

product development methodologies by combining engineering expertise with mathematical 

modeling and optimization methods. The Department of Mathematics participates in 

the SFB 666 within three sub-projects (Kohler, Pfetsch, Ulbrich). The mathematical research 

is concentrated on development and on evaluation. In the product development 

6 1 Research

process, the aim is to provide an optimal design of the desired product as well as an 

optimal process control of selected forming methods. This is done by means of discrete 

optimization and PDE-constrained nonlinear optimization. In the evaluation process, statistical 

methodologies are used to provide estimates for relations between properties of the 

considered sheet metal part and its structural durability. Thus, a smaller number of costly 

and time consuming experiments have to be carried out. 


The Collaborative Research Centre SFB 805 “Control of Uncertainties in Load-Carrying 

Structures in Mechanical Engineering" was established in January 2009. The second funding 

period started in January 2013. Its main objective is the development of methods 

and techniques to control uncertainties in the development, production and usage of 

load-carrying structures to significantly enhance their safety, reliability and economic efficiency. 

While uncertainty cannot be avoided or eliminated, its influence during the product 

lifecycle—from material properties to production and usage—can be controlled and hence 

minimized. Especially in the area of light-weight construction, the trade-off between low 

weight and low production cost on one hand and adequate load-bearing capacity on the 

other hand makes the influence of uncertainties critical. Hence, the control of uncertainty 

is of significant importance and is therefore a focus of the research to be conducted by the 

SFB 805. 

The control of uncertainty through the entire process chain of development, production 

and usage necessitates a close interdisciplinary cooperation of engineers and mathematicians. 

Within the collaborative research centre, the engineering sciences address uncertainty 

in terms of physical and technical phenomena, whereas the mathematical research 

assesses the influence and effects of uncertainty and its interdependencies and derives 

from this optimal solution strategies for processes with minimal uncertainty and optimal 

design concepts for load-carrying systems. 

The Department of Mathematics is involved in three projects of SFB 805 (Lorenz, Pfetsch, 

Ulbrich). To deal with uncertainty, the tool of robust optimization is applied, where complex 

products are optimized while controlling inherent uncertainty already in the product 

development phase. Uncertainty may occur because of uncertain loadings, uncertain material 

properties or unknown user behavior. Furthermore, the SFB 805 examines the use 

of active elements to react on uncertainty in a load-carrying system. The question of optimal 

placement of active elements in the structure is a challenging nonlinear mixed-integer 

optimization problem. In the production process, the optimization of process chains under 

uncertainty is considered in order to reduce costs and uncertainty caused by uncertain 

market conditions. 

1.1.5 Graduate School of Computational Engineering 

Computational Engineering (CE) denotes computer based modeling, analysis, simulation, 

and optimization. It is a cost-effective, efficient and complementary approach to study 

engineering applications and to engineer new technical solutions when experimental investigations 

are often too complex, risky, or costly. CE enables the creation of scalable 

models to support research, development, design, construction, evaluation, production 

and operation of engineering applications which address key issues in future technology 

developments for the economy and society in areas such as energy, health, safety, 

1.1 Overview 7

and mobility. However, such engineering applications are becoming increasingly complex. 

Consequently, the theory and methodologies required to investigate corresponding systems 

is becoming challenging. With the Graduate School of Computational Engineering, 

the TU Darmstadt was able to further strengthen its role in CE. The school enables highly 

talented PhD students to develop their scientific skills in a focused way, and to cooperate 

under optimal conditions in a highly stimulating interdisciplinary environment based on 

the interaction of Computer Science, Mathematics, and Engineering Sciences. Partnerships 

with well established research organizations as well as cooperation with industry increase 

the impact of the Graduate School. Building on the well established interdepartmental 

expertise at TU Darmstadt, the Graduate School focusses on the following key research 

areas: modeling and simulation of coupled multi-physics problems, simulation based optimization, 

and hierarchical multi-scale modeling and simulation. The research efforts in 

the above fields are accompanied by corresponding developments of methods of visualization, 

simulated reality, high-performance computing, verification and validation, as well 

as software engineering and lifecycle research. The PhD students work together within 

research foci comprising one or more of the above topics. The joint research on specially 

defined use cases will further strengthen the interdisciplinary skills and cooperation. Six 

professors of the Department of Mathematics are principal investigators within the Graduate 

School Computational Engineering (Egger, Joswig, Lang, Pfetsch, Stannat, Ulbrich) 

with expertise in Discrete Algortihmic Mathematics, Numerical Analysis, Discrete Optimization, 

Stochastics, Nonlinear Optimization and Optimal Control. They supervise more 

than 10 interdiciplinary PhD projects within the Graduate School in close cooperation with 

a co-supervisor from Engineering or Computer Science. 

1.1.6 Graduate School of Energy Science and Engineering 

The mission of the Darmstadt Graduate School of Energy Science and Engineering is to educate 

tomorrow’s leading Energy Engineers in a multidisciplinary field of expertise needed 

to identify and master the most demanding scientific, engineering, economic and social 

challenges in an interdisciplinary approach. The main challenge is viewed to be a continuous 

transition from the carbon-based, non-renewable primary energy sources of today to 

renewable and environmentally friendly energy resources of tomorrow. 

The optimal strategy to meet this challenge is on the one hand to improve conventional 

energy technologies and render them progressively more efficient, to meet the ever more 

stringent demands on pollutant emissions, and on the other hand to simultaneously develop 

innovative, advanced renewable energy technologies, which must be brought to 

a competitive technological readiness level and provide safe, reliable and cost-effective 

solutions. 

Two professors of the Department of Mathematics are principal investigators within the 

Graduate School Energy Science and Engineering (Lang, Ulbrich) with expertise in Numerical 

Analysis, Nonlinear Optimization and Optimal Control. 

1.1.7 International Research Training Group IRTG 1529 

The International Research Training Group “Mathematical Fluid Dynamics" (IRTG 1529) 

is funded by the German Research Foundation (DFG) and the Japan Society for the Promotion 

of Science (JSPS). It is associated with TU Darmstadt and with two Universities 

located in Tokyo, Japan, Waseda University and University of Tokyo. 

8 1 Research

The research of the program focuses on analytical, numerical and stochastic aspects as well 

as on modeling, optimization and aerodynamics of fluid dynamics. It distinguishes itself 

through joint teaching and supervision. The core program consists of interdisciplinary 

lectures and seminars and includes research and study periods in Tokyo. Presently, there 

are 12 PhD students and 2 Postdocs on the Darmstadt side and a similar amount on the 

Japanese side. 

The principal investigators at Darmstadt are Dieter Bothe, Reinhard Farwig, Matthias Geissert, 

Horst Heck, Matthias Hieber, Maria Lukacova, Wilhelm Stannat, Cameron Tropea, 

and Stefan Ulbrich. The participating colleagues in Tokyo are Tadahisa Funaki, Yoshikazu 

Giga, Hideo Kozono, Takaaki Nishida, Yoshihiro Shibata and Masao Yamazaki. 

IRTG 1529 is organizing seminars, short courses, workshops and conferences on a regular 

basis in Darmstadt and Tokyo. The list of speakers in 2011 and 2012 includes leading 

experts of the field, e.g., E. Feireisl (Prag), G. Galdi (Pittsburgh), G. Huisken (Golm), N. 

Masmoudi (Courant), R. Klein (Berlin), K. Kunisch (Graz), Kupfermann (Jerusalem), Ch. 

Liu (Penn State) F. Otto (Leipzig), E. Titi (Irvine and Weizmann), and S. Turek (Dortmund). 

Highlights of the program were alltogether 8 conferences or bigger workshops in 

2011 and 2012, e.g., the “International Workshops on Mathematical Fluid Dynamics" at 

Waseda University, Tokyo, in March 2011, June and November 2012 and the “International 

Conference on Complex Fluids “ as well as on “Simulation and Optimization of Complex 

Fluid Flow “ in summer 2012 in Darmstadt. A joint summerschool with the DFG-Research 

Training Group 1463 in Hanover took place in September 2011. A special summerschool 

in Darmstadt which was completely selforganized by our PhD students attracted many 

other PhD-students to this special event to Darmstadt. 

A Klausurtagung im November 2012 was preparing the evaluation of this program by DFG 

scheduled for January 2013. 

1.1.8 LOEWE Centre AdRIA 

The LOEWE Centre “AdRIA: Adaptronics: Research, Innovation, Application” was established 

in 2008 and is funded with an amount of 34 million Euro for 6 years by the State 

of Hesse within the research support program LOEWE-Landes-Offensive zur Entwicklung 

Wissenschaftlich-ökonomischer Exzellenz. It is an interdisciplinary collaboration of Fraunhofer 

LBF, TU Darmstadt and Hochschule Darmstadt. 

The aim of the LOEWE Centre AdRIA is the scientific and technological study of adaptronic 

systems in order to ensure a systematic and holistic development of advanced adaptronic 

products. A particular emphasis is the development of light weight structures based on 

adaptronic systems with improved energy efficiency, functionality and performance. The 

LOEWE Centre AdRIA is structured into several technology areas in order to advance basic 

research as well as three exemplary technological demonstrator applications. 

The Department of Mathematics participates in the Centre within the technology area 

“Simulation Tools” (Ulbrich) and contributes to the development of optimization methods 

for adaptronic systems, in particular the optimal placement and control of sensors, 

actuators and active absorbers. 

1.1.9 LOEWE Research Priority Program Cocoon 

The LOEWE Priority Program “Cooperative sensor communication (Cocoon)” was established 

in January 2011 and is funded with an amount of 4.5 million Euro for 3 years 

1.1 Overview 9

y the State of Hesse. The grant was secured within the frame of the third round of 

the research support program LOEWE-Landes-Offensive zur Entwicklung Wissenschaftlich- 

Ãkonomischer Exzellenz. 

Research in the field of wireless sensor communication will enable us to make an essential 

contribution to the improvement of our daily life. Sensors we consider in our research 

include environmental sensors, mobile phones, PDAs, navigation equipment, car keys, 

electronic purses or pulse rate measurement devices. New diverse applications, which can 

be integrated into the context of a smart city, will arise. This concept requires an intelligent 

environment in which daily life supporting services are ubiquitous. 

The Department of Mathematics participates in the LOEWE Priority Program within a 

sub-project (Ulbrich). The mathematical research considers the development of efficient 

discrete-continuous optimization methods for the optimal design of wireless communication 

networks, which leads to challenging nonconvex mixed-integer polynomial 

optimization problems. 

1.2 Research Groups 

1.2.1 Algebra 

The main research areas of this group are algebraic geometry, number theory and conformal 

field theory. 

We are interested in automorphic forms and their applications in geometry and arithmetic. 

For example we investigate intersection and height pairings of special algebraic cycles on 

Shimura varieties and their connection to automorphic L-functions. We also study the 

relation between the representation theory of conformal field theories and automorphic 

forms. Regularized theta lifts play an important role in both areas. 

Project: Harmonic weak Maass forms 

In this project the Fourier coefficients and periods of weak Maass Forms are investigated. 

In particular, we study the coefficients of weight 1/2 harmonic weak Maass forms. If such 

a form f maps under the ξ-operator to a newform g of weight 3/2, then the Fourier 

coefficients of the holomorphic part of f are given by periods of normalized algebraic differentials 

of the third kind associated to the Shimura lift of g. For instance, the real periods 

of differentials of the third kind on rational elliptic curves are related to coefficients of such 

harmonic Maass forms. We also use (regularized) theta lifts to investigate periods of harmonic 

Maass forms. In joint work with Ono we construct a lift from harmonic Maass forms 

of weight −2 to harmonic Maass forms of weight −1/2 and study its integrality properties. 

As an application, we derive a finite algebraic formula for the partition function. This lift 

is generalized by C. Alfes to arbitrary weights. In joint work with Funke and Imamoglu 

we investigate a regularized theta lift from weak Maass forms of weight 0 to weak Maass 

forms of weight 1/2 and show that the coefficients of the lift are given by CM traces and 

period integrals. In particular we find a definition of the central value of the (non-existent) 

L-function of Klein’s j-invariant. 

Partner: 

Zürich 

Support: DFG, NSF 

K. Ono, Emory University; J. Funke, Durham University; O. Imamoglu, ETH 

10 1 Research

Contact: J. H. Bruinier, C. Alfes 

References 

[1] J. H. Bruinier. Harmonic Maass forms and periods. Mathematische Annalen, accepted for 

publication. 

[2] J. H. Bruinier, A. Folsom, Z. Kent, and K. Ono. Recent work on the partition function. 2012. 

[3] J. H. Bruinier, J. Funke, and O. Imamoglu. Regularized theta liftings and periods of modular 

functions. Journal für die reine und die angewandte Mathematik, accepted for publication. 

[4] J. H. Bruinier and K. Ono. Heegner divisors, L-functions and harmonic weak Maass forms. 

Annals of Mathematics, 172:2135–2181, 2010. 

[5] J. H. Bruinier and K. Ono. Algebraic formulas for the coefficients of half-integral weight 

harmonic weak Maass forms. Preprint, 2011. 

Project: Arithmetic intersection theory on Shimura varieties 

We study special cycles on integral models of Shimura varieties associated with unitary 

similitude groups of signature (n − 1, 1). We construct an arithmetic theta lift from harmonic 

Maass forms of weight 2−n to the first arithmetic Chow group of a toroidal compactification 

of the integral model of the unitary Shimura variety, by associating to a harmonic 

Maass form f a suitable linear combination of Kudla-Rapoport divisors, equipped with 

the Green function given by the regularized theta lift of f . Our main result expresses 

the height pairing of this arithmetic Kudla-Rapoport divisor with a CM cycle in terms of 

a Rankin-Selberg convolution L-function of the cusp form of weight n corresponding to f 

and the theta function of a positive definite hermitian lattice of rank n − 1. When specialized 

to the case n = 2, this result can be viewed as a variant of the Gross-Zagier formula 

for Shimura curves associated to unitary groups of signature (1, 1). We also prove that 

the generating series of the height pairings of arithmetic Kudla-Rapoport divisors with a 

fixed CM cycle is an elliptic modular form of weight n. These results rely on (among other 

things) a new method for computing improper arithmetic intersections. 

Partner: B. Howard, Boston College; T. Yang, University of Wisconsin at Madison 

Support: DFG, NSF 

Contact: J. H. Bruinier, S. Ehlen, S. Zemel 

References 

[1] J. H. Bruinier, S. S. Kudla, and T. Yang. Special values of Green functions at big CM points. 

International Mathematics Research Notices, 2012:9:1917–1967, 2012. 

[2] J. H. Bruinier and T. Yang. Faltings heights of CM cycles and derivatives of L-functions. Inventiones 

mathematicae, 177:631–681, 2009. 

Project: The converse theorem for Borcherds products 

R. Borcherds constructed a lift from vector valued weakly holomorphic elliptic modular 

forms of weight 1 − n/2 to meromorphic modular forms on the orthogonal group O(n, 2) 

whose zeros and poles are supported on special divisors and which possess infinite product 

expansions analogous to the Dedekind eta function. Conversely, we prove that in a large 

class of cases every meromorphic modular form on O(n, 2) whose divisor is supported 

on special divisors is the Borcherds lift of a weakly holomorphic modular form of weight 

1− n/2. To this end we develop a newform theory for vector valued modular forms for the 

1.2 Research Groups 11

Weil representation. We also derive lower bounds for the ranks of the Picard groups and 

the spaces of holomorphic top degree differential forms of modular varieties associated to 

orthogonal groups. 

Partner: E. Freitag, Universität Heidelberg 

Support: DFG 

Contact: J. H. Bruinier 

References 

[1] J. H. Bruinier. Borcherds products on O(2, l) and Chern classes of Heegner divisors. Springer 

Verlag, Lecture Notes in Mathematics 1780, 2002. 

[2] J. H. Bruinier. On the converse theorem for Borcherds products. Preprint, 2012. 

Project: Topology of Kac–Moody groups 

The main purpose of this project is to analyse a group topology on Kac–Moody groups, 

originally introduced by Kac and Peterson. This topology has recently been shown to be 

Hausdorff, moreover it has been shown that in the case of 2-spherical groups, the quotient 

topology on the associated twin building naturally leads to topological twin buildings in 

the sense of Kramer and others. 

Currently, we investigate associated topologies on -forms of Kac–Moody groups and their 

homogeneous spaces. Of particular interest are the groups of type E 10 and E 11 due to their 

application in String Theory. 

Contact: A. Mars, W. Freyn 

References 

[1] W. Freyn and A. Mars. The Kac–Peterson topology on forms of Kac–Moody groups and their 

homogeneous spaces. preprint, TU Darmstadt, 2012. 

[2] T. Hartnick, R. Köhl, and A. Mars. On topological twin buildings and topological split Kac– 

Moody groups. Preprint, TU Darmstadt, 2012. 

[3] V. G. Kac and D. H. Peterson. Regular function on certain infinite-dimensional groups. Arithmetic 

and geometry Vol. II, Progr. Math., 36, 1983. Boston, Birkhäuser. 

[4] A. Mars. On the topology and geometry of Kac–Moody groups. PhD thesis, TU Darmstadt, 2011. 

Project: Algebraic geometry over the field 1 

The aim of this project is a geometric understanding of algebraic groups over the “field” 

with one element, denoted 1 . Sometimes the “field” 1 is assumed to be the multiplicative 

monoid 1 = {0, 1} whose multiplication is given by 0 · 1 = 1 · 0 = 0 and whose addition is 

completely degenerate. 

The concept of a “field” 1 was introduced in 1956 by J. Tits; the basic idea of most 

constructions involving 1 is the need to make sense of limits q → 1 of certain geometric 

or representation theoretic constructions defined over finite fields q . 

The subject received new interest during the last few year due to a conjectured relation 

between the Riemann hypothesis and algebraic geometry over 1 ; it is suggested, that one 

should be able to define a kind of “variety” over 1 , whose ζ-function is the Riemannian 

ζ-function. Then it is hoped, that this setting allows for an adaption of Deligne’s geometric 

proof of the Weil conjectures. 

12 1 Research

Pioneering work in this direction was performed by A. Connes and C. Consani. One of 

her achievements was the construction of “Chevalley groups” over 1 , using a functorial 

approach. 

In this project we develop a 1 -version of the Tits approach to Chevalley groups. It turns 

out, that the combinatorial flag varieties, introduced by Borovik, Gelfand and White can 

be interpreted as a building over 1 . Remark here that the notion of 1 , used today, is 

more subtle than the original notion of J. Tits. 

Partner: L. Carbone, C. Consani 

Contact: W. Freyn 

References 

[1] A. Connes and C. Consani. Schemes over 1 and zeta functions. Compos. Math., 146(6):1383– 

1415, 2010. 

[2] A. Connes and C. Consani. On the notion of geometry over 1 . J. Algebraic Geom., 20(3):525– 

557, 2011. 

Project: Hyperbolic Kac-Moody geometry 

The main purpose of this project is the development of hyperbolic Kac-Moody geometry. A 

blueprint of hyperbolic Kac-Moody geometry is given by affine Kac-Moody geometry and 

the finite dimensional geometry governed by simple Lie groups. Recall that a simple Lie 

group is the symmetry group of geometric objects such diverse as symmetric spaces, buildings, 

polar actions and isoparametric submanifolds. Structure properties of the symmetry 

groups are reflected in the geometry of these objects. A similar picture was established for 

affine Kac-Moody groups and their geometries, hence affine Kac-Moody symmetric spaces, 

twin cities, proper Fredholm isoparametric submanifolds in Hilbert spaces. We conjecture 

the existence of similar classes of geometric objects associated to more general classes of 

Kac-Moody groups, especially hyperbolic Kac-Moody groups. 

Guiding questions come from important conjectures in mathematical physics due to T. 

Damour, H. Nicolai oder P. West, which relate the equations of motion of M-theory, a generalized 

version of string theory, with the structure of geodesics on certain Kac-Moody 

symmetric spaces, conjecturally associated to the split real Kac-Moody groups of type E 10 

and E 11 . 

Partner: L. Carbone, A. Feingold, H. Sati 

Contact: W. Freyn 

Project: Submanifolds with splitting tangent sequence 

Mok classified pairs (N, M), where M is a complex manifold with constant holomorphic 

sectional curvature, and N ⊂ M a submanifold with splitting tangent sequence. Generalizing 

the classes of M’s to the non Kähler Einstein case the only additional examples are 

modular families of false elliptic curves. We generalized Mok’s result to that case using 

our classification of manifolds with projectice structure (Preprint). The characterization 

of submanifolds with splitting tangent sequence is an older question, already in 2005 I 

studied such pairs. It is possible to model a manifold not only after a projective space as in 

the case of manifolds with projective structure above. But we can also consider manifolds 

modelled after arbitrary hermitian symmetric spaces. A classification in dimension three 

is complete for the hyperquadric (2005). We now work on the general case. 


Partner: I. Radloff (Universität Tübingen) 

Contact: P. Jahnke 

References 

[1] P. Jahnke. Submanifolds with splitting tangent sequence. Math. Z., 251:491 – 507, 2005. 

[2] P. Jahnke and I. Radloff. Projective threefolds with holomorphic conformal structure. Int. J. of 

Math., 16:595 – 607, 2005. 

[3] P. Jahnke and I. Radloff. Splitting submanifolds of families of fake elliptic curves. Sci. China 

Math., 54:949 – 958, 2011. 

Project: Classification of singular Fano threefolds 

It is known that for any n there are only finitely many deformation families of smooth Fano 

varieties of dimension n (Campana, Kollár, Miyaoka, Mori, 90s). This means it is theoretically 

possible to write down complete lists. Up to dimension n = 3 this was done: there is 

one “Fano curve” (rational curve), 10 families in dimension two (del Pezzo surfaces) and 

106 families of smooth Fano threefolds (Iskovskikh, Mori, Mukai, 80s). In 2001 Borisov 

proved boundedness also in the singular case, there are only finitely many families of Fano 

threefolds with at most canonical Gorenstein singularities. Following an idea of McKernan 

this remains true in the almost Fano case. Up to now there does not exist a complete 

classification in the singular case, but we have some partial results. The project is not to 

find complete lists, but to answer some questions on the general structure like bounds for 

certain numerical invariants. 

Partner: T. Peternell (Universität Bayreuth), I. Radloff (Universität Tübingen) 

Contact: P. Jahnke 

References 

[1] C. Casagrande, P. Jahnke, and I. Radloff. On the picard number of almost fano threefolds with 

pseudo-index > 1. Int. J. Math., 19:173 – 191, 2008. 

[2] P. Jahnke, T. Peternell, and I. Radloff. Threefolds with big and nef anticanonical bundles I. 

Math. Ann., 333:569 – 631, 2005. 

[3] P. Jahnke, T. Peternell, and I. Radloff. Threefolds with big and nef anticanonical bundles II. 

Central European J. of Math., 9:449 – 488, 2011. 

[4] P. Jahnke and I. Radloff. Gorenstein fano threefolds with base points in the anticanonical 

system. Comp. Math., 142:422 – 432, 2006. 

Project: Invariant subalgebras of vertex algebras 

Let G be a complex, reductive group and let V be a finite-dimensional representation of G. 

A basic problem in invariant theory going back to the nineteenth century is to describe the 

ring (V ) G of invariant polynomial functions on V . Hilbert’s famous theorem from 1890 

asserts that (V ) G is finitely generated, and many foundational results in commutative 

algebra such as the Basis Theorem, Nullstellensatz, and Syzygy Theorem, were introduced 

by Hilbert in connection with this problem. One can study the analogous problem for vertex 

algebras; given a strongly finitely generated (SFG) vertex algebra and a reductive 

group G ⊂ Aut( ), when is G SFG? This is a subtle and nonclassical phenomenon that 

generally fails if is abelian. Isolated examples have been known since the mid 1990s, 

but the first general results of this kind appear in my work [2], in which I proved this 

14 1 Research

when is a free field vertex algebra (either a bc-system, βγ-system, or bcβγ-system). 

Certain interesting vertex algebras (such as various -algebras) can be realized as invariant 

vertex algebras, and our techniques have allowed us to prove some old conjectures on 

the structure of these vertex algebras. For example, the 1+∞ algebra with central charge 

−n was conjectured in the 1990s to be of type (1, 2, . . . , n 2 + 2n), and we showed in 

[3] that this is a formal consequence of Weyl’s first and second fundamental theorems of 

invariant theory for G L n . I am currently investigating several related phenomena, jointly 

with Thomas Creutzig. For example, in [1] we have identified the super 1+∞ algebra at 

integer level with a -algebra associated to a purely odd simple root system of gl(n|n). 

Contact: A. R. Linshaw 

References 

[1] T. Creutzig and A. R. Linshaw. The super ⊒ 1+∞ -algebra with integral central charge. Preprint, 

submitted, TU Darmstadt and Brandeis University, 2012. 

[2] A. R. Linshaw. A hilbert theorem for vertex algebras. Transformation Groups, 15:427–448, 

2010. 

[3] A. R. Linshaw. Invariant theory and the 1+∞ algebra with negative integral central charge. 

Journal of the European Mathematical Society, 13:1737–1768, 2011. 

Project: Orthogonal groups of discriminant forms 

A discriminant form is a finite abelian group D with a nondegenerate quadratic form q : 

D → /. Discriminant forms play a prominent role in the theory of automorphic forms. A 

discriminant form of prime level p is a vector space over p with a nondegenerate quadratic 

form. In this case Witt’s Theorem says that for two nonzero vectors v , w of the same norm 

there is an automorphism f of D preserving q with f (v ) = w. An important question is 

under which condition two elements of an arbitrary discriminant form D are conjugate 

under O(D). This problem has been solved in [1] for discriminant forms of odd order. The 

general case is investigated at the moment. 

Contact: N. Scheithauer 

References 

[1] N. Scheithauer. Discriminant forms and their automorphisms. Preprint, TU Darmstadt, 2012. 

Project: Moonshine for Conway’s group 

The fake monster algebra is an infinite-dimensional Lie algebra describing the physical 

states of a bosonic string moving on a 26-dimensional torus. Its denominator identity is 

given by 

where 

e ρ 

∆(τ) = q 

∏ 

α∈II + 25,1 

(1 − e α ) [1/∆](−α2 /2) = 

∑ 

∞∏ 

det(w) w 

e ρ (1 − e nρ ) 24 

w∈W 

∞∏ 

(1 − q n ) 24 = q − 24q 2 + 252q 3 − 1472q 4 + 4830q 5 − 6048q 6 + . . . 

n=1 

1.2 Research Groups 15 

n=1

is Dedekind’s delta function. The real simple roots of the fake monster algebra correspond 

to the Leech lattice and the automorphism group of the Leech lattice acts by diagram 

automorphisms on the Lie algebra. Borcherds conjectured that the corresponding twisted 

denominator identities are automorphic forms of singular weight on orthogonal groups. It 

is now well-known that this holds for elements of squarefree level. Some of the remaining 

cases are proved in [1, 2]. 


References 

[1] N. Scheithauer. The Weil representation of SL 2 () and some applications. International Mathematical 

Research Notices, pages 1488–1545, 2009. 

[2] N. Scheithauer. Some constructions of modular forms for the Weil representation of SL 2 (). 

Preprint, TU Darmstadt, 2011. 

Project: Classification of automorphic products 

Borcherds’ singular theta correspondence is a map from vector valued modular forms, 

which transform under the Weil representation of SL 2 () on discriminant forms, to automorphic 

forms on orthogonal groups. Since these automorphic forms have nice product 

expansions they are called automorphic products. They have found various applications in 

algebra, geometry and arithmetic. A famous example is the function 

Φ(Z) = e((ρ, Z)) 

∏ 

α∈II + 25,1 

1 − e((α, Z)) 

[1/∆](−α 2 /2) 

where ∆ is Dedekind’s delta function. This function is an automorphic form of weight 12 

for a discrete subgroup of O 26,2 (). One of the main problems in the theory of automorphic 

forms on orthogonal groups is to derive classification results. In [1] automorphic products 

of singular weight, whose divisors are zeros of order one corresponding to roots, on lattices 

of squarefree level are classified. The result is that there are only 10 such functions. They 

are in one-to-one correspondence with the solutions of the equation 

k 

k − 2 

1 ∏ 

B k 

p|N 

1 

p k − 1 

−1 np /2 

ε p p 

k−n p /2 + p n p/2 

− 2 

= 1 . 

p 

The goal of this project is to prove classification results without assumptions on the lattices 

and on the divisors. A first step in this direction is the following result. The function 

Φ defined above is the only holomorphic automorphic product of singular weight on an 

unimodular lattice. 


References 

[1] N. Scheithauer. On the classification of automorphic products and generalized Kac-Moody 

algebras. Invent. Math., 164:858 – 877, 2006. 

16 1 Research

1.2.2 Analysis 

The research group Analysis consists of six professors, H.-D. Alber, D. Bothe, R. Farwig, 

M. Hieber, S. Roch (apl.) and J. Saal, and about 22 assistants as state employees or paid 

by third party funding. The field of research of this group covers theory and applications 

of partial differential equations and of integral equations. Having close contact to the 

departments of engineering and natural sciences, the group of analysis at TU Darmstadt is 

open to new mathematical problems and scientific challenges. 

One focal point of research activities is the investigation of the nonlinear equations of fluid 

mechanics including an enhanced analysis of linear model problems which are solved by 

methods of evolution equations, maximal regularity and harmonic analysis. A famous 

open problem concerning the existence of smooth solutions of the so-called Navier-Stokes 

equations is one of the seven Millennium Problems of the Clay Mathematics Institute. 

A second focus is put on the modeling and analysis of problems in solid mechanics with 

a special emphasis on viscosity and plasticity; these questions are of crucial importance 

in material sciences and fracture mechanics. Furthermore, models of phase transitions 

and microstructures in crystal lattices are under investigation. The mathematical tools in 

this field are based on nonlinear analysis and homogenization. Recently also numerical 

simulation is used to validate phase field models. 

The third point is on mathematical modeling and computational analysis of complex flow 

problems, in particular two-phase flows and transport processes occurring at fluid interfaces. 

The research builds on continuum mechanical modeling employing and further 

developing sharp-interface models with increasing levels of physico-chemical interface 

properties. For a deep understanding of the elementary transport and transfer processes, 

direct numerical simulations with the Volume-of-Fluid method are employed. 

The fourth focal point lies in the analysis and numerical approximation techniques for 

singular integral equations which can be applied in fluid mechanics, computer tomography 

and image processing. 

The research group Analysis presents two “Open Seminars" on a regular weekly basis, introductory 

seminars on functional analytic tools in the theory of partial differential equations 

as well as graduate seminars on recent questions in the above-mentioned fields of 

research. In addition to basic courses on mathematics for engineers, the research group 

offers lectures on analysis for majors in mathematics as well as advanced courses on partial 

differential equations and on related fields for graduate students. Moreover, once or twice 

a year, the research group organizes a workshop called "Analysistag" with speakers from 

Germany and abroad covering a wide spectrum of fields in analysis and its applications. 

Several members of the research group Analysis are principal investigators of the German 

Research Foundation-Excellence Cluster "Smart Interfaces", where fluid interfaces 

and boundaries are investigated in an interdisciplinary environment, and/or of the International 

Research Training Group (IGK 1529) (Internationales Graduiertenkolleg) “Mathematical 

Fluid Dynamics" funded by DFG and JSPS and associated with TU Darmstadt, 

Waseda University in Tokyo and University of Tokyo in Japan. The program seeks to combine 

methods from several mathematical disciplines such as analysis, stochastics, geometry 

and optimization to pursue fundamental research in Fluid Dynamics. 


Project: Analytical and numerical comparison of a hybrid phase field model for phase 

transitions and damage with the Allen-Cahn model 

Simulation of phase transitions and damage is an issue of increasing importance in material 

science. The mathematical models, on which these simulations are based, are either 

of the sharp interface or phase field type. Phase field models are computationally advantageous. 

Practically all phase field models are of the Allen-Cahn or Cahn-Hilliard type. 

However, for realistic simulation of phase interfaces carrying low surface energy the parameters 

in these models must be chosen such that the diffusive interfaces in these models 

become almost sharp. In such situations, which are very common, simulations become 

very ineffective and the computational advantage of phase field models is lost. 

In recent years two new models have been developed in the working group, which we call 

hybrid models. The analytical results obtained up to now indicate that with these models 

interfaces with low surface energy can be simulated effectively. However, because of the 

unusual form of the evolution equation in these models, standard mathematical methods 

to prove existence and convergence results cannot be used. We derived such results only 

for very special situations. Therefore the hybrid models must be justified and validated by 

numerical tests. Matlab-simulations based on a finite difference scheme have been carried 

out for some special situations. These simulations confirm the analytical results. However, 

for a thorough and reliable validation many more numerical tests must be carried out. In 

particular, computations based on the finite element method must be performed. 

In cooperation with B. Markert from the Institut für Angewandte Mechanik of Stuttgart 

University we therefore plan to develop numerical methods for the hybrid model and to 

compare the computational results for the Allen-Cahn model with the results for the hybrid 

model. 

Partner: B. Markert, Universität Stuttgart 

Contact: H.-D. Alber 

Project: Solution of the hybrid phase field model with finite elements 

For the hybrid phase field model, which is explained in the preceding project description, 

we aim in this PhD research project to develop alternative numerical methods. As basic 

computational tool we want to use finite elements. 

Contact: H.-D. Alber, A. Böttcher 

Project: Existence theory for phase field models 

For the hybrid phase field model described above existence results are only available in one 

space dimension when the constitutive relation is linear. When the constitutive relation is 

nonlinear or when the space dimension is greater than one no results exist. Moreover, no 

convergence results are known. The goal of this project is therefore to prove such existence 

and convergence results. 

Partner: Peicheng Zhu, Basque center of applied mathematics, Bilbao 

Contact: H.-D. Alber 

Project: A directionally un-split geometrical Volume of Fluid (VoF) transport algorithm 

on unstructured meshes in OpenFOAM ® 

18 1 Research

The research is focused on developing a numerically consistent geometrical advection algorithm 

for the volume fraction field used to approximate the solution of the sharp interface 

model of two-phase flow, with a second-order convergent Finite Volume Method that supports 

arbitrary unstructured meshes. Combination of support for arbitrary unstructured 

meshes and an accurate volume fraction advection present a basis for simulating twophase 

flow phenomena driven by capillary forces in flow domains of arbitrary geometrical 

complexity. Within the project, the transport algorithm was implemented, validated 

and parallelized using the domain decomposition approach. Geometrical mapping algorithm 

was developed that enables local dynamic Adaptive Mesh Refinement, significantly 

increasing the ratio of accuracy and computational cost. Future developments will be focused 

on improvements of the flow solution algorithm as well as curvature calculations in 

order to improve the balance of forces acting on the discrete interface. 

Contact: D. Bothe, T. Maric 

References 

[1] H. T. Ahn and M. Shashkov. Adaptive moment-of-fluid method. Journal of Computational 

Physics, 228(8):2792 – 2821, 2009. 

[2] M. Fowler. UML Distilled: A Brief Guide to the Standard Object Modeling Language. Addison- 

Wesley Longman Publishing Co., Inc., Boston, MA, USA, 3 edition, 2003. 

[3] E. Gamma, R. Helm, R. Johnson, and J. Vlissides. Design patterns: elements of reusable 

object-oriented software. Addison-Wesley Longman Publishing Co., Inc., Boston, MA, USA, 

1995. 

[4] J. Hernández, J. López, P. Gómez, C. Zanzi, and F. Faura. A new volume of fluid method 

in three dimensions – part i: Multidimensional advection method with face-matched flux 

polyhedra. International Journal for Numerical Methods in Fluids, 58(8):897–921, 2008. 

[5] L. Jofre, O. Lehmkuhl, J. Castro, and A. Oliva. A plic-vof implementation on parallel 3d 

unstructured meshes. V European Conference on Computational Fluid Dynamics, ECCOMAS, 

2010. 

[6] N. M. Josuttis. The C++ standard library: a tutorial and reference. Addison-Wesley Longman 

Publishing Co., Inc., Boston, MA, USA, 1999. 

[7] C. Larman. Applying UML and Patterns: An Introduction to Object-Oriented Analysis and Design 

and Iterative Development (3rd Edition). Prentice Hall PTR, Upper Saddle River, NJ, USA, 

2004. 

[8] S. McConnell. Code Complete, Second Edition. Microsoft Press, Redmond, WA, USA, 2004. 

[9] J. Mencinger and I. Zun. A plic-vof method suited for adaptive moving grids. Journal of 

Computational Physics, 230(3):644 – 663, 2011. 

[10] S. Meyers. More Effective C++: 35 New Ways to Improve Your Programs and Designs. Addison- 

Wesley Longman Publishing Co., Inc., Boston, MA, USA, 1995. 

[11] S. Meyers. Effective C++. Addison-Wesley Longman Publishing Co., Inc., Boston, MA, USA, 

1998. 

[12] S. Popinet. An accurate adaptive solver for surface-tension-driven interfacial flows. Journal 

of Computational Physics, 228(16):5838 – 5866, 2009. 

[13] G. Tryggvason, R. Scardovelli, and S. Zaleski. Direct Numerical Simulations of Gas-Liquid 

Multiphase Flows. Cambridge University Press, 2011. 

Project: Numerical Modeling of complex fluid-structure interaction (FSI) 


This project investigates FSI problems with viscoelastic fluids, where a main difficulty 

lies in an accurate and stable simulation of flows of such fluids. Various high resolution 

schemes are used to investigate the accuracy at resolving the stress boundary layer. 

The stability problem is referred to the High Weissenberg Number Problem (HWNP). The 

exponential growth of the stress in the fluid models attributes to the problem. Within the 

project, several stabilization approaches like the log conformation or the square root conformation 

transformation are compared for several benchmark cases. A strategy for the 

coupling of a viscoelastic fluid and an elastic structure is developed. 

Partner: M. Schäfer, FNB, TU Darmstadt 

Support: Center of Smart Interfaces, Graduate School of Computational Engineering 

Contact: D. Bothe, X. Chen 

Project: Modeling and Numerical Simulation of Mass Transfer in Bubbly Flows with 

OpenFOAM 

The hydrodynamics and species transfer in bubble column reactors is investigated by 

means of numerical simulations on two different levels of detail. Direct Numerical Simulation 

methods are developed and applied which provides detailed insights into the flow 

field, allowing for an improved closure for interfacial species transport in bubble groups. 

The resulting closure is used to study species transfer in bubble column reactors using a 

Two-Fluid Model. 

Partner: M. Schlüter, TU Hamburg-Harburg 

Contact: D. Bothe, D. Deising 

Project: Reactive Mass Transfer from Rising Gas Bubbles 

Mass transfer from single rising gas bubbles, modeled as incompressible two-phase Navier- 

Stokes equations coupled to a system of convection-diffusion-reaction equations, is investigated. 

Direct numerical simulation (DNS) is used to study the interaction of mass transfer 

and hydrodynamics. The goal of this project is to develop numerical methods for DNS 

which accurately capture local mass transfer at deformable fluid interfaces. 

Support: DFG – project PAK 119 

Partner: M. Schlüter, TU Hamburg-Harburg; H.-J. Warnecke, Universität Paderborn; B. 

Weigand, Universität Stuttgart 

Contact: D. Bothe, S. Fleckenstein 

References 

[1] D. Bothe and S. Fleckenstein. A volume-of-fluid-based method for mass transfer processes at 

fluidic particles. submitted. 

[2] S. Fleckenstein and D. Bothe. Modeling and 3d simulation of physical mass transfer at single 

rising gas bubbles for moderate schmidt numbers. In 8th International Conference on CFD in 

Oil & Gas, Metallurgical and Process Industries SINTEF/NTNU, Juni 2011. 

[3] S. Fleckenstein and D. Bothe. Simplified modeling of the influence of surfactant on the rise of 

bubbles in vof-simulations. submitted. 

[4] S. Fleckenstein, M. Kröger, and D. Bothe. Numerical model of mass transfer from deformable 

gas bubbles using an unsplit 3d subgrid scale model. In 6th International Berlin Workshop 

(IBW6) on Transport Phenomena with Moving Boundaries, volume 929 of VDI Reihe 3, 2012. 

20 1 Research

Project: Stability of falling films 

The hydrodynamic stability of thin films of viscous liquids that run down an inclined plane 

under the action of gravity is investigated. Non-periodic perturbations and non-parallel 

base flows are taken into account by a global linear stability algorithm, which is closely 

related to Arnoldi’s algorithm for the eigensystem analysis of sparse matrices. For this, it 

is necessary to evaluate the response of the base flow to perturbations, which is done with 

the volume of fluid in-house code FS3D. Moreover, the influence of insoluble surfactant on 

the primary instability is investigated analytically in the space-periodic setting. 

Partner: T. Nishida, Kyoto University, Kyoto; Y. Teramoto, Setsunan University, Osaka; A. 

Tezuka, Waseda University, Tokyo 

Contact: D. Bothe, C. Albert 

References 

[1] C. Albert, D. Bothe, and A. Tezuka. Global Linear Stability Analysis of Falling Films with Inand 

Outlet. submitted, 2012. 

[2] C. Albert, H. Raach, and D. Bothe. Influence of surface tension models on the hydrodynamics 

of wavy laminar falling films in Volume of Fluid-simulations. International Journal of Multiphase 

Flow, 43:66 – 71, 2012. 

Project: Direct Numerical Simulation of Multicomponent Surfactant Transport on 

Fluidic Interfaces 

Computational Fluid Dynamics (CFD) is applied to accomplish Direct Numerical Simulation 

(DNS) in order to gain detailed insight into the hydrodynamics of single drops 

growing at a capillary [1]. An Arbitrary Lagrangian Eulerian (ALE) interface tracking 

method is employed. Governing equations are discretized by an unstructured collocated 

Finite-Volume method and a Finite-Area method [3]. Local adaptive re-meshing allows for 

significant interface deformation. Indications for future improvements of the established 

evaluation procedure regarding surface tension are provided. As for the influence of surfactants, 

diffusive interfacial transport is considered by Maxwell-Stefan equations, which 

are iteratively inverted [2]. The surfactant transport is solved by a block coupled solution 

algorithm. A variety of state-of-the art models for diffusion-limited and sorption-limited 

sorption processes are implemented. 

Support: DFG Priority Program – SPP 1506 

Partner: R. Miller, MPI Colloids and Interfaces, Potsdam/Golm 

Contact: D. Bothe, K. Dieter-Kissling 

References 

[1] K. Dieter-Kissling, M. Karbaschi, H. Marschall, A. Javadi, R. Miller, and D. Bothe. On the 

applicability of Drop Profile Analysis Tensiometry at high flow rates using an interface tracking 

method. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2012. in press. 

[2] V. Giovangigli. Convergent iterative methods for multicomponent diffusion. IMPACT of Computing 

in Science and Engineering, 3(3):244 – 276, 1991. 

[3] Z. Tukovic and H. Jasak. A moving mesh finite volume interface tracking method for surface 

tension dominated interfacial fluid flow. Computers & Fluids, 55(0):70 – 84, 2012. 


Project: L p -Theory for Incompressible Newtonian Flows subject to Energy Preserving 

Boundary Conditions 

This project aimed at a rigorous derivation as well as an analysis of a large class of boundary 

conditions for the Navier-Stokes equations, which contains classical boundary conditions 

for fixed walls (e. g. no-slip, Navier, perfect slip conditions), classical boundary 

conditions, which arise in model problems for free boundary problems (e. g. Neumann 

conditions), as well as numerous artificial boundary conditions, which already proved to 

be useful for direct numerical simulations. The obtained results are available in [1, 2]. 

Partner: J. Prüß, Universität Halle-Wittenberg 

Support: Center of Smart Interfaces (DFG Cluster of Excellence 259) 

Contact: D. Bothe, M. Köhne 

References 

[1] D. Bothe, M. Köhne, and J. Prüß. On a Class of Energy Preserving Boundary Conditions 

for Incompressible Newtonian Flows. Submitted to SIAM Journal on Mathematical Analysis, 

Preprint: http://arxiv.org/abs/1207.0707, 2012. 

[2] M. Köhne. L p -Theory for Incompressible Newtonian Flows. Energy Preserving Boundary Conditions, 

Weakly Singular Domains. Springer Spektrum, Wiesbaden, 2013. 

Project: L p -Theory for Two-Phase Flows with Soluble Surfactant 

The presence of surfactants has a pronounced effect on the surface tension and, hence, on 

the stress balance at the phase separating interface of two-phase flows. The transport of 

momentum induced by the local variations of the capillary forces are known as Marangoni 

effects. The aim of this project is to study a model which assumes the surfactant to be 

soluble in one of the adjacent bulk phases and which represents a generalization of the 

two-phase Navier-Stokes equations. The obtained results are available in [1]. 

Partner: J. Prüß, Universität Halle-Wittenberg 

Support: Center of Smart Interfaces (DFG Cluster of Excellence 259) 

Contact: D. Bothe, M. Köhne 

References 

[1] D. Bothe, M. Köhne, and J. Prüß. On Two-Phase Flows with Soluble Surfactant. Preprint: 

http://arxiv.org/abs/1210.8131, 2012. 

Project: Direct Numerical Simulation of binary collisions of viscous and non- 

Newtonian droplets 

Direct Numerical Simulations based on an extended Volume of Fluid (VOF) method are 

used to investigate binary droplet collisions. During collisions, extremely thin fluid lamellas 

appear especially in case of a shear-thinning rheology. These have to be accounted for 

within the numerical simulation in a physically sound way. One major finding is that an 

effective constant viscosity can be calculated which leads to the same collision dynamics. 

In order to simulate viscoelastic two-phase flow, the VOF method has been extended to 

the Oldroyd-B model. The energy balance and the elongation of the polymer molecules is 

studied numerically during droplet collision. 

Partner: M. Sommerfeld, Universität Halle-Wittenberg 

22 1 Research

Support: DFG - project SPP 1423 

Contact: D. Bothe, C. Focke 

Project: Thermodynamically consistent modeling of chemically reacting multicomponent 

fluid systems 

Multicomponent diffusion in fluid systems is commonly modeled via the Maxwell-Stefan 

equations. This approach is also employed for chemically reacting systems, but the standard 

derivation does not cover this case. This project aims at a rigorous deduction of 

the Maxwell-Stefan equations together with an extension to chemically reactive mixtures. 

The approach is based on partial balances in particular of the species momenta, where 

the entropy principle is exploited to obtain information on the interspecies momentum 

transfer. This yields a closed system of partial mass and momentum balances, from which 

the system of (extended) Maxwell-Stefan equations follows via an entropy based model 

reduction. 

Partner: W. Dreyer, WIAS Berlin 

Contact: D. Bothe 

Project: Direct Numerical Simulation of Taylor Bubble Flow – Benchmark study 

Validation of mathematical models and numerical methods for interfacial two-phase flow 

simulation is accomplished [1]. The Priority Program SPP 1506 Transport Processes at Fluidic 

Interfaces by the German Research Foundation DFG, headed by Prof. Dr. Bothe and 

Prof. Dr. Reusken (RWTH Aachen), proposes a benchmark problem by means of Taylor 

Bubble Flow. Its use is demonstrated by assessing and approving the numerical reliability 

and accuracy of conceptually different interfacial flow solvers. Special emphasis is 

set upon different approaches to surface tension calculation both for interface capturing 

(e.g. force-balanced approaches) and interface tracking (e.g. force-conservative approach) 

methodologies. 

Support: DFG Priority Program – SPP 1506 

Partner: Helmholtz-Zentrum, Dresden-Rossendorf; RWTH Aachen; Karlsruhe Institute of 

Technology (KIT) 

Contact: H. Marschall, D. Bothe 

References 

[1] H. Marschall, S. Boden, C. Lehrenfeld, C. J. Falconi, U. Hampel, A. Reusken, 

M. Wörner, and D. Bothe. Validation of Interface Capturing and Tracking Techniques 

with different Surface Tension Treatments against a Taylor Bubble Benchmark Problem. 

submitted. Preprint avaliable online: http://www.dfg-spp1506.de/pdf/publications/ 

MarschallEtAl-TaylorBubble-1.pdf (12/2012). 

Project: Well-posedness and instantaneous reaction limit for reactive flows 

In this project on reactive flows we regard the question of global well-posedness for a 

general system with triangular structure from the class of reaction-convection-diffusion 

equations in terms of unique weak solutions ([1]). In view of the complexity of huge reaction 

networks also the situation of fast chemical reactions is studied, where we investigate 

the link between the limit behaviour of solutions subject to increasing reaction speeds and 

a related model which is based on a certain kind of model reduction ([1]). 


Partner: M. Pierre, G. Rolland 

Support: DFG, Rennes Métropole 

Contact: D. Bothe, A. Fischer 

References 

[1] D. Bothe, A. Fischer, M. Pierre, and G. Rolland. Fast-reaction limit for a chemical system with 

migration and reversible reactions. In preparation. 

Project: Global existence in electro-reaction-diffusion systems 

A coupled system of reaction-electromigration-diffusion equations and a Poisson equation, 

the Nernst-Planck-Poisson system, with reversible chemical reactions is studied. The goal 

is to construct global-in-time weak solutions in space dimension n ≥ 3 and characterize 

the long-time behaviour ([1]). 

Partner: M. Pierre, G. Rolland 

Support: DFG, Rennes Métropole 

Contact: D. Bothe, A. Fischer 

References 

[1] D. Bothe, A. Fischer, M. Pierre, and G. Rolland. Global existence for diffusion-electromigration 

systems in any space dimension. In preparation. 

Project: The Kato Square Root Problem for mixed boundary conditions 

We study a system of second-order elliptic differential equations in divergence form on a 

bounded domain Ω. Our focus lies on non-smooth situations, i.e. bounded measurable 

complex-valued coefficients, Lipschitz domains and mixed boundary conditions. In particular, 

we do not assume the coefficients to be symmetric. Hence, the corresponding elliptic 

operator A is not necessarily self-adjoint on L 2 (Ω). Although A formally is of second order, 

its natural domain in general does not admit two weak derivatives in L 2 (Ω). On the other 

hand, the square root of A, figuratively a first-order operator, often has the expected regularity 

property D( A) = H 1 (Ω). This has first been conjectured by Kato in 1961. With 

the above assumptions on the coefficient the problem remained open for more than 40 

years, even on the whole space Ω = d . By now, this so-called Kato Square Root Problem 

is solved on the whole space and on strongly Lipschitz domains subject to homogeneous 

Dirichlet- or Neumann boundary conditions. In the case of mixed boundary conditions a 

positive answer is given for a certain class of smooth domains and their bi-Lipschitz images. 

In this project we will head for a positive answer to the Kato Square Root Problem 

problem in the general setting described above. 

Contact: M. Egert, R. Haller-Dintelmann, P. Tolksdorf 

References 

[1] P. Auscher, S. Hofmann, M. Lacey, A. McIntosh, and P. Tchamitchian. The solution of the Kato 

square root problem for second order elliptic operators on n . Ann. of Math. (2), 156(2):633– 

654, 2002. 

[2] P. Auscher and P. Tchamitchian. Square roots of elliptic second order divergence operators on 

strongly Lipschitz domains: L 2 theory. J. Anal. Math., 90:1–12, 2003. 

24 1 Research

[3] A. Axelsson, S. Keith, and A. McIntosh. The Kato square root problem for mixed boundary 

value problems. J. London Math. Soc. (2), 74(1):113–130, 2006. 

Project: Regularity of weak solutions of the Navier-Stokes equations 

For the three-dimensional non-stationary Navier-Stokes system there exist many classical 

conditions on initial values u 0 to guarantee the existence of a local in time regular solution, 

ranging from the condition u 0 ∈ H 1 0 (Ω) over u ∈ D(A1/4 ) (with the Stokes operator A) to 

u ∈ L 3 (Ω). Over the last decades the assumptions on u 0 could be weakened step by step. 

The optimal result in this field was found recently by H. Sohr, W Varnhorn and R. Farwig 

(2009, 2012) using the notion of Besov spaces: Let b −2/s 

q,s 

(Ω) denote the Besov space of 

solenoidal vector fields with vanishing normal component on the boundary ∂ Ω such that 

‖e−tA u 0 ‖ s q d t < ∞. Then there exists a local in time regular solution u ∈ Ls (0, T; L q (Ω)) 

∫ ∞ 

0 

with 2 + 3 = 1 (Serrin’s class) and with initial value u s q 0 if and only if u 0 ∈ b −2/s 

q,s 

(Ω). 

The aim of the project is to apply this necessary and sufficient condition not only at t 0 = 0 

but at all or almost all epochs t 0 ≥ 0 to prove new global regularity and uniqueness results 

of a given weak solution. Important arguments will be the strong energy inequality of 

the weak solution in order to apply classical uniqueness theorems on weak solutions and 

the fact that the defining integrability condition of the space b −2/s 

q,s 

(Ω) can be replaced by 

∫ δ 

0 ‖e−tA u 0 ‖ s q 

d t < ∞ for an arbitrarily small δ > 0. 

Partner: H. Sohr (Universität Paderborn), W. Varnhorn (Universität Kassel) 

Contact: R. Farwig 

Project: Fluid flow in unbounded domains with Navier slip boundary condition 

The flow of a viscous incompressible Newtonian fluid in unbounded domains poses 

new technical problems since the classical Helmholtz projection well-defined on L q (Ω), 

1 < q < ∞, for bounded and exterior domains Ω or layer type domains does not exist in 

general unbounded domains unless q = 2. One possibility to solve this problem is the use 

of the function spaces ˜L q (Ω) = L q (Ω)∩ L 2 (Ω) when 2 ≤ q < ∞ and ˜L q (Ω) = L q (Ω)+ L 2 (Ω) 

when 1 < q < 2. In this setting the Helmholtz projection is bounded on every space ˜L q (Ω), 

1 < q < ∞, and the corresponding Stokes operator - together with Dirichlet boundary 

conditions - is a well-defined closed operator generating a holomorphic but possibly not 

bounded semigroup. 

The aim of the project is to generalize these results from the Dirichlet case to the case of 

Navier slip and Robin boundary conditions, i.e., resolvent estimates and maximal regularity 

for the corresponding Stokes operator in suitably adapted ˜L q -spaces. The first main 

step is a careful analysis of known a priori estimates and the dependence of constants 

on the boundary regularity of bounded domains. The second step is the passage to the 

limit for a weakly convergent subsequence of solutions on a sequence of uniformly smooth 

bounded domains exhausting the given unbounded domain. A key lemma will be the L 2 - 

case in which constants in a priori estimates are independent of the domain. Then the case 

q > 2 can be solved using the L 2 -result, whereas the case 1 < q < 2 is based on duality 

arguments. 

Partner: S. Shimizu (Shizuoka University, Shizuoka, Japan) 

Contact: R. Farwig, V. Rosteck 


Project: Stationary fluid flow in a two-dimensional aperture domain of Jeffery-Hamel 

type. 

Stationary Navier-Stokes flow in a two-dimensional unbounded domain poses severe difficulties 

compared to the three-dimensional case since for a sequence of approximate solutions 

bounded in the homogeneous Sobolev space Ĥ 1,2 

0 

no embedding into any L q -space is 

available. Therefore, knowledge on the behavior of solutions at space infinity will get lost 

in the limiting procedure. Actually, it is an open problem whether there exists a stationary 

Navier-Stokes solution for flow past a two-dimensional obstacle with prescribed velocity at 

space infinity, unless the obstacle and the fluid flow satisfy some symmetry assumptions. 

The situation is almost similar for a two-dimensional aperture domain consisting of two 

half spaces connected by a hole in an infinite separating wall. In this case the flux through 

the hole (or the pressure drop at space infinity) is necessary to get uniqueness even in the 

linear case. 

G.P. Galdi, M. Padula and V.A. Solonnikov (1996) proved the existence and uniqueness of 

a symmetric stationary solution with prescribed small flux in a weighted L ∞ -space which 

behaves near space infinity as a Jeffery-Hamel flow. Crucial arguments in their proof are 

cancellation properties of integrals for symmetric functions. The aim of the project is to 

generalize - possibly in different function spaces - their result to non-symmetric aperture 

domains allowing also for non-symmetric solutions. 

Partner: T. Hishida (Nagoya University, Japan) 


Project: Conditional regularity of weak solutions of the Navier-Stokes system by components 

of the vorticity vector 

Consider a weak solution u of the nonstationary Navier-Stokes system in three dimensions. 

In addition to the classical Serrin condition on L s (0, T; L q (Ω))-integrability of the velocity 

vector u where 2 + 3 = 1 there do exist numerous other conditions on components of 

s q 

u, on components of the gradient ∇u, on the vorticity vector ω = curl u, the associated 

pressure or eigenvalues of the symmetric gradient 1 2 ∇u + (∇u) 

T . An interesting result 

by D. Chae, H. J. Choe (1999) proves regularity of u when two (!) components of ω lie 

in L s (L q ), 2 + 3 = 2. This result is close to the two-dimensional situation where ω has 

s q 

only one nonzero component. However, an analogous result using only one component of 

the vorticity vector seems to be out of reach and closely related to the open Millennium 

problem (2000) of Clay Mathematics Institute on global regularity. 

In a recent paper J. Neustupa and P. Penel (2012) proved a conditional regularity result 

using only one component of a vorticity-like term: They used the spectral decomposition 

of the self-adjoint operator curl with spectral resolution (E λ ) λ∈ and its positive part only, 

i.e., ∫ ∞ 

0 λ dE λ. Since this operator can be written also in terms of classical singular integral 

operators, we expect a generalization of the results of Neustupa and Penel to the L q -setting 

and into a more physically motivated language. 

Partner: J. Neustupa (Czech Academy of Sciences, Prague) 


Project: Fundamental solutions for fluid flow around moving obstacles 

26 1 Research

The fundamental solution of a partial differential equation is an indispensable tool in the 

investigation of local regularity properties and of decay properties as time or the spatial 

variable goes to infinity. In this project we are looking for the fundamental solution of 

instationary flow of a viscous incompressible fluid past a moving obstacle. Working in a coordinate 

system attached to the moving and/or rotating obstacle we are lead to a modified 

(Navier-)Stokes system with several additional terms, some of which are not subordinate 

to the Laplacian or are time-dependent. Nevertheless, using a special transformation defined 

by an auxiliary ODE system, the problem can be simplified to the classical Stokes or 

Oseen system. Then the fundamental solution can be found in terms of classical functions 

including - due to the use of the Helmholtz projection - Kummer functions and the solution 

of the ODE system, let it be known either explicitly or only implicitly. By these means, we 

are able to find the more or less explicit fundamental solution in several special physical 

situations of moving and rotating obstacles, e.g. for flow generated by a fan or a rotating 

body with precession or around helicopter blades. The next step will be to find the leading 

terms in an asymptotic expansion and to prove the existence and describe the shape of the 

wake region behind the obstacle. 

Partner: Š. Nečasová (Czech Academy of Sciences, Prague) 


Project: IRTG 1529: Mathematical Fluid Mechanics (Concentration-diffusion Phenomenon 

One of the projects of the IRTG 1529 deals with the asymptotic structure of solutions of 

the Boussinesq equations in the whole space n and the so-called concentration-diffusion 

phenomenon. The Boussinesq equations describe the flow of a viscous incompressible and 

heat-conductive Newtonian fluid where the momentum equation and the heat equation 

are coupled mainly by the buoyancy term gϑ in the momentum equation; here ϑ is the 

temperature and g, the gravity force of a bounded mass distribution, is assumed to decay 

like |x| n−1 . In this setting we construct mild and strong solutions and get a decay for 

the velocity u as |x| −n when ∫ gϑ ≠ 0 - in contrast to the usual Navier-Stokes case with 

vanishing force where the decay |x| −n−1 is optimal. Moreover, under special symmetry 

assumptions on g and u 0 we find for each finite set of epochs t j an initial value ϑ 0 such that 

the decay of u changes from |x| −n to |x| −n−1 and back to |x| −n only in the neighborhood of 

each t j but nowhere else, called a concentration-diffusion phenomenon. For this solution, 

the leading term of type |x| −n changes its orientation near t j due to a leading coefficient 

with sign change. In the project similar results are under investigation for the half space 

case, the equations of magnetohydrodynamics and Navier-Stokes equations with Coriolis 

force term modeling rotating fluids. 

Partner: International Research Training Group (IRTG 1529) on Mathematical Fluid Mechanics, 

TU Darmstadt - Waseda University Tokyo 

Contact: R. Farwig, M. Yamazaki 

Project: Smart Interfaces: Understanding and Designing Fluid Boundaries 

We consider the cooling of some object by the flow of a viscous incompressible fluid over 

the surface of the object or the heating of a fluid via the contact with the surface of a 

heating device. The cooling or heating is strongly influenced by the regularity or roughness 


of the boundary which in general is assumed to be of Lipschitz type only. The underlying 

model is the Boussinesq system in which the classical Navier-Stokes system is coupled with 

the heat equation mainly via the buoyancy term. The heat flux through the boundary is an 

important physical quantity which should be controlled, either maximized or minimized 

depending on the physical problem at hand. 

In the first part of the project we build up the theory of weak and strong solutions to 

the Boussinesq system in unbounded domains with Lipschitz boundary. The second aim 

is the analysis of the change of the boundary condition for a sequence of domains Ω k 

with oscillating boundaries and decreasing amplitude, but increasing frequency. The main 

tool in this analysis is the theory of Young measures. A consequence of the boundary 

oscillations in the case of Robin boundary conditions for the temperature is a new weight 

factor in the Robin condition depending on the way of convergence of Ω k . This result for 

perturbed half spaces will be generalized to bounded domains and coupled with methods 

from optimal control theory. 

Partner: Cluster of Excellence at TU Darmstadt: Smart Interfaces: Understanding and 

Designing Fluid Boundaries 

Contact: R. Farwig, C. Komo 

Project: Global L p solutions for Oldroyd-B models 

We investigate existence and uniqueness of global solution for Oldroyd-B models. To be 

more precise, we first prove existence of stationary solutions. In a second step we show 

that global solutions exist for initial data sufficiently close to stationary solutions. Finally, 

we investigate stability of stationary solutions. 

Partner: Y. Shibata, Waseda Univeristy, Tokyo 

Contact: M. Geissert 

Project: Square roots of divergence form operators in non-smooth situations 

Elliptic regularity of divergence form operators in non-smooth situations, i.e. bounded 

measurable coefficients, Lipschitz domains and mixed boundary conditions, is a delicate 

matter. For instance it is possible for every p > 2 to construct such an operator of second 

order whose domain on the corresponding W −1,p -space is not contained in a Sobolev space 

of type W 1,p , i.e. the gain in regularity when solving the corresponding equation is not two. 

Nevertheless, for scalar equations we could show in [2] that the square root of such an 

operator behaves nicely, which means that its domain on the same W −1,p -space is L p , i.e. 

the gain in regularity is one. 

Based on this result, in the future we will head for a corresponding result for systems of 

equations and deal with applications to parabolic linear and quasilinear equations. 

Partner: J. Rehberg (Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS), 

Berlin) and P. Auscher (University of Paris-Sud (Paris XI)) 

Contact: M. Egert, R. Haller-Dintelmann 

References 

[1] P. Auscher. On necessary and sufficient conditions for L p -estimates of Riesz transforms 

associated to elliptic operators on n and related estimates. Mem. Amer. Math. Soc., 

186(871):xviii+75, 2007. 

28 1 Research

[2] P. Auscher, N. Badr, R. Haller-Dintelmann, and J. Rehberg. The square root problem for second 

order, divergence form operators with mixed boundary conditions on L p . Preprint, 2012. 

arXiv: 1210.0780. 

[3] R. Haller-Dintelmann and J. Rehberg. Maximal parabolic regularity for divergence operators 

including mixed boundary conditions. J. Differential Equations, 247:1354–1396, 2009. 

[4] R. Haller-Dintelmann and J. Rehberg. Maximal parabolic regularity for divergence operators 

on distribution spaces. In J. Escher, P. Guidotti, M. Hieber, P. Mucha, J. Prüß, Y. Shibata, 

G. Simonett, C. Walker, and W. Zajaczkowski, editors, Parabolic Problems – The Herbert Amann 

Festschrift, pages 313–341. Birkhäuser, 2011. 

Project: Hölder regularity for solutions to mixed boundary value problems 

In non-smooth situations (Lipschitz domains, discontinuous coefficients, mixed boundary 

conditions) one can in general not expect that even for regular data f the solution u to 

the elliptic problem −∇ · µ∇u = f lies in a Sobolev space W 1,p for p > 2. In particular, 

one cannot infer continuity of the solution from a Sobolev embedding argument, as soon 

as the space dimension is greater than 2. 

Based on earlier work on this topic, we want to formulate a general geometric framework 

that allows to prove Hölder continuity of the solution directly also in cases, where 

the Sobolev embedding is not applicable. In particular, we want to treat arbitrary space 

dimensions. 

Partner: J. Rehberg (Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS), 

Berlin) 

Contact: R. Haller-Dintelmann 

References 

[1] R. Haller-Dintelmann, H.-C. Kaiser, and J. Rehberg. Elliptic model problems including mixed 

boundary conditions and material heterogeneities. J. Math. Pures Appl., 89:25–48, 2008. 

[2] R. Haller-Dintelmann, C. Meyer, J. Rehberg, and A. Schiela. Hölder continuity and optimal 

control for nonsmooth elliptic problems. Appl. Math. Optim., 60:397–428, 2009. 

Project: The Klein-Gordon equations on a star-shaped network 

We consider the Klein-Gordon equations on n copies of the interval (0, ∞) glued together at 

the origin with usual Kirchhoff (or other) transmission conditions in the vertex. In earlier 

work we already established a spectral representation of the corresponding operator and, 

based on this, an explicit solution formula. 

Exploiting this formula, we intend to understand effects in a quantitative manner related 

to the tunnel effect like retarded reflection and advanced transmission. Furthermore, we 

study the L ∞ -time decay of the solutions and apply this to non-linear equations. 

Partner: F. Ali Mehmeti, V. Régnier (University of Valenciennes and Hainaut-Cambresis) 

Contact: R. Haller-Dintelmann 

References 

[1] F. Ali Mehmeti, R. Haller-Dintelmann, and V. Régnier. Multiple tunnel effect for dispersive 

waves on a star-shaped network: an explicit formula for the spectral representation. J. Evol. 

Equ., 12(3):513–545, 2012. 


[2] F. Ali Mehmeti, R. Haller-Dintelmann, and V. Régnier. Energy flow above the threshold of 

tunnel effect. In A. Almeida, L. Castro, and F.-O. Speck, editors, Advances in Harmonic Analysis 

and Operator Theory, volume 229 of Oper. Theory Adv. Appl., pages 65–76. Birkhäuser, Basel, 

2013. 

Project: The Stokes and Navier-Stokes Equation in Spaces of Bounded Functions 

This project deals with properties of the Stokes or Navier-Stokes equations on so called 

admissable domains Omega on L ∞ σ 

(Omega). We already proved that the Stokes operator 

generates an analytic semigroup on L ∞ σ 

(Ω). Our aim is to give a rather precise description 

of its domain. This then would allow to treat various nonlinearities arsinf in applications 

e.g. to complex fluids. 

Partner: K. Abe and Y. Giga, University of Tokyo, Japan 

Contact: M. Hieber 

Project: Viscoelastic Flow past rotating obstacles 

The aim of this project is to consider various viscoelastic flows, e.g. Oldroyd-B flows past 

rotating obstacles. This moving domain problem is transformed first by a suitable change 

of coordinates to a problem on a fixed domain involving terms of Ornstein-Uhlenback type. 

We then aim to prove global existence results for the original problem taking advantage of 

Ornstein-Uhlenbeck theory. 

Partner: P. Galdi, University of Pittsburgh 


Project: Free boundary value problems in Geophysical Flows 

In this project we consider the free boundary value problem for the promitive equations 

arising in geophysical fluid dynamics. Our first aim is to prove local wellposedness of this 

system. Our approach will be based on the Hanzawa transformation. 

Partner: E. Titi, UC Irvine and Weizmann Institute, Rehovot 


Project: Operator theory and numerical analysis 

On the operator theory side, our main interest is twofold: first in index formulas for 

Toeplitz plus Hankel operators. These operators occur in many applications, e.g. in numerical 

analysis for singular integral equations. Whereas the Fredholm theory for Toeplitz plus 

Hankel operators with piecewise continuous generating functions is fairly well understood, 

the known formulas for the Fredholm index of these operators are quite involved and hard 

to use. Recently we succeeded to derive an (as we believe, handy) index formula, which 

is based on the observation that several Hankel operators belong to the Banach algebra 

generated by Toeplitz operators. It would be interesting to extend this formula for other 

classes of Toeplitz plus Hankel operators. Our second objective in the field of operator 

theory is limit theorems of Szegö type. The classical Szegö theorems study the asymptotic 

behaviour of the determinants of the finite sections P n T(a)P n of Toeplitz operators. We 

want to generalize these results to operators which have non-constant functions on their 

diagonals. Particular attention is paid to operators with almost periodic coefficients, which 

are of immense importance in applications (the prominent Almost Mathieu operator is an 

30 1 Research

example of a band operator with almost periodic coefficients). Whereas the generalizations 

of the so-called first and strong Szegö limit theorems to this context is now widely 

accomplished, some serious questions still remain open. For example, the case of operators 

where more than one “irrationality” occurs is largely open. Second part: For the numerical 

solution of an operator equation on an infinite-dimensional space, one discretizes the operator 

to obtain a sequence of n × n matrices A n . Interesting asymptotic properties of the 

sequence (A n ) can be studied by embedding this sequence into an appropriate C ∗ -algebra 

and by studying the structure of that algebra. Of particular interest are algebras of matrix 

sequences which own the following (self-similarity) property: Every sequence in the algebra 

can be rediscovered from each of its infinite subsequences modulo a sequence tending 

to zero in the norm. Examples of such algebras arise, for instance, from the finite sections 

method for Toeplitz or singular integral operators. Sequences (A n ) in self-similar algebras 

are distinguished by their excellent asymptotic properties: for example, the pseudospectra 

of the A n converge with respect to the Hausdorff metric. A basic tool to analyse algebras 

of matrix sequences is a Fredholm theory of sequences, which has also found interesting 

applications: a proof of the Arveson dichotomy for self-adjoint sequences, a proof of the index 

formula for band-dominated operators, and the creation of an algorithm to determine 

partial indices of matrix functions numerically, for instance. We derived results along these 

lines for spatial discretizations of several classes of C ∗ -algebras including Cuntz algebras 

and reduced group C ∗ -algebras and (still) plan to extend them to multi-dimensional disk 

algebras and other algebras generated by isometries. 

Partner: T. Ehrhardt, B. Silbermann 

Contact: S. Roch 

References 

[1] T. Ehrhardt, S. Roch, and B. Silbermann. A strong Szegö-Widom limit theorem for operators 

with almost periodic diagonal. J. Fctl. Anal., 260:30–75, 2011. 

[2] S. Roch. Arveson dichotomy and essential fractality. Preprint, TU Darmstadt, 2011. 

[3] S. Roch. Fractal algebras of discretization sequences (Chemnitz Summer School on Applied 

Analysis). Preprint, TU Darmstadt, 2011. 

[4] S. Roch. Spatial discretization of restricted group C ∗ -algebras. Operators Matrices, 5:53–78, 

2011. 

[5] S. Roch and B. Silbermann. A handy formula for the Fredholm index of Toeplitz plus Hankel 

operators. Indagationes Mathematicae, 23:663–689, 2012. 

Project: Spectral theory of band operators 

Our main interest is in Jacobi (= tridiagonal band) operators, which occur, for example, as 

discretizations of one-dimensional Schrödinger operators. We consider random potentials 

(and can allow also random entries on the other diagonals), which are deterministically 

modelled by pseudo-ergodic sequences, following an idea by E. B. Davies. We study a 

version of the finite section method for the approximate solution of equations Ax = b in 

infinitely many variables, where A is a pseudo-ergodic Jacobi operator. In other words, we 

approximately solve infinite second order difference equations with stochastic coefficients 

by reducing the infinite volume case to the (large) finite volume case. Our goal is to design 

the finite sections by choosing the truncations in such a way that the associated limit 

operators are of a special form (e.g., Toeplitz operators) and to derive spectral inclusions. 


Partner: M. Lindner 


References 

[1] M. Lindner and S. Roch. Finite sections of random Jacobi operators. SIAM J. Numer. Anal., 

50:287–306, 2012. 

Project: Band-dominated operators, their Fredholm theory and finite sections 

A band-dominated operator is the norm limit of a sequence of band operators, i.e., of operators 

which have a band matrix as their representation with respect to a fixed basis. For 

example, pseudodifferential operators on L 2 ( N ) with symbols in S 0 0, 0 

and several classes 

of convolution operators own this property. Fredholm properties of band-dominated operators 

can be studied via their limit operators, which reflect the behaviour of the operator 

at infinity. A typical result says that a band-dominated operator is Fredholm if and only 

if each of its limit operators is invertible and if the norms of their inverses are uniformly 

bounded. Also the index of a Fredholm band dominated operator (on l 2 ()) can be expressed 

in terms of (local) indices of its limit operators. One goal of the project is to use 

the above methods to study the Fredholm properties of Schrödinger operators (and other 

operators of mathematical physics) and the decay of their eigenfunctions. A second line of 

research concerns the Fredholm theory and numerical analysis of discretized differential 

operators acting on periodic nano-structures (like honeycomb structures and nano-tubes). 

Third, as we observed only recently, the above sketched methods seem to apply to study 

diffraction by ( 1 - or 2 -) periodic graphs for second order elliptic equations. In general, 

the study of the solvability of pseudodifferential operators on a periodic graph rises serious 

difficulties because the graph is a singular manifold with an infinite set of singular points. 

We are mainly interested in a setting where the graph is periodic, but the coefficients of 

the operator and in the transmission conditions are not (such that the standard Floquet 

method does not apply). 

Partner: V. S. Rabinovich 

Support: CONACYT, DFG 


References 

[1] V. Rabinovich and S. Roch. Exponential estimates of solutions of pseudodifferential equations 

with operator-valued symbols. Applications to Schrödinger operators with operator-valued 

potentials. Contemp. Math., 554:147–163, 2011. 

[2] V. Rabinovich and S. Roch. Finite sections of band-dominated operators on discrete groups. 

Oper. Theory: Adv. Appl., 220:239–253, 2012. 

[3] V. Rabinovich and S. Roch. Pseudodifferential operators on periodic graphs. Integral Equations 

Oper. Theory, 72:197–217, 2012. 

[4] V. S. Rabinovich and S. Roch. Essential spectrum of difference operators on periodic metric 

spaces. Funk. Anal. Appl., 43:151–154, 2009. 

Project: Numerical analysis for convolution-type operators 

The goal of this project is to investigate the stability of projection methods for several 

classes of convolution type operators. In particular, we will consider operators on L p (R) 

32 1 Research

which belong to the closed Banach algebra generated by all operators of multiplication by 

a piecewise continuous function, all operators of convolution by a piecewise continuous 

Fourier multiplier, and by a flip operator. The latter operator involves serious difficulties 

since localization techniques do not apply in the standard way. Another difficulty arises 

because the spectra of the generators become massive sets, which makes it much harder to 

verify the inverse closedness of the considered algebras in the algebra of all bounded linear 

operators on L p (R). In the reference cited below we succeeded to derive a Fredholm criterion 

for operators in this algebra, which applies in particular to Wiener-Hopf plus Hankel 

operators on Lebesgue spaces L p , and to Toeplitz plus Hankel operators on Hardy spaces 

H p . In a next step we plan to turn to numerical analysis for these operators. Formally, 

this means to identify the above mentioned operators with constant sequences and to examine 

an algebra which contains these constant sequences together with a (non-constant) 

sequence of projections. Moreover, we wish to define this algebra in such a way that it contains 

with each sequence (A t ) the (appropriately defined) sequence (F −1 A t F), with F the 

Fourier transform. This algebra should provide a suitable frame to study approximation 

methods with cut-off both in the original space as in the frequency domain. 

Partner: P. dos Santos 

Support: CEAF/FCT 


References 

[1] S. Roch and P. Santos. Two points, one limit: Homogenization techniques for two-point local 

algebras. Preprint, TU Darmstadt, 2011. 

[2] S. Roch, P. Santos, and B. Silbermann. Non-commutative Gelfand Theories. A Tool-kit for Operator 

Theorists and Numerical Analysts. Springer, 2011. 

Project: Well-posedness and stability of electro-kinetic flows 

The term “Electro-kinetic flows” summarizes the class of phenomena, where a fluid with 

charged solutes exhibits a flow as response to an externally applied electrical field. In order 

to model such situations we consider a coupled system of Navier-Stokes and Nernst-Planck 

equations complemented by a Poisson equation for the electro-static potential, which describe 

the evolution of the velocity and the concentration fields of dissolved constituents in 

an electrolyte solution. For the resulting Navier-Stokes-Nernst-Planck-Poisson system we 

are concerned with local and global well-posedness as well as existence and uniqueness of 

steady states and their stability properties, cf. [1]. 

Partner: D. Bothe 

Support: DFG 

Contact: J. Saal, A. Fischer 

References 

[1] D. Bothe, A. Fischer, and J. Saal. Global well-posedness and stability of electro-kinetic flows. 

submitted. 

Project: Navier-Stokes equations on wedge domains 


Objective of this project is the understanding and treatment of three phase contact line 

problems. Finding an approach to such problems leads to questions under which circumstances 

one can solve initial boundary value problems on domains with non-smooth 

boundary. In a first step well-posedness for Stokes and Navier-Stokes equations with fullslip 

boundary conditions on a wedge domain is considered, cf. [1]. 

Support: DFG 

Contact: S. Maier, J. Saal 

References 

[1] S. Maier and J. Saal. Stokes and Navier-Stokes equations with perfect slip on wedge type 

domains. submitted. 

Project: L p -theory for the Tornado-Hurricance Equations 

The Tornado-Hurricane equations represent a system of equations modeling the evolution 

of cyclones. Based on a first approach given in [1] in L 2 , the objective is to develop an 

L p -theory. In this setting preciser results on well-posedness as well as new results on 

regularity and stability seem to be available. 

Support: DFG 

Contact: S. Maier, J. Saal 

References 

[1] J. Saal. Well-posedness of the Tornado-Hurricane equations. Discr. Cont. Dyn. Sys. - Series A, 

26(2):649–664, 2010. 

1.2.3 Applied Geometry 

The research group "Geometry and Approximation" investigates geometric objects, typically 

surfaces, as well as approximations thereof. 

Classical Differential Geometry deals with curves and surfaces. Surfaces arising in the 

sciences are frequently minimizers to certain functionals. In the simplest case, say for a 

biological cell, they might bound a given volume in such a way that the area of the surface 

is minimal. Other interfaces minimize functionals involving curvatures. Critical points 

satisfy Euler equations, namely non-linear partial differential equations. Our goal is to 

establish new solutions and properties of solutions, in Euclidean 3-space but also in other 

Riemannian spaces, by employing analysis and Riemannian Geometry. 

In Geometric Modeling, mathematical tools for the explicit description of geometric objects 

are developed and analyzed. Unlike in elementary geometry, the focus is not on simple 

objects like circles or spheres, but on more complex structures, as they arise in various 

applications. One may think of a car body, a piece of cloth, or a dinosaur in an animated 

film. 

The surfaces considered in Differential Geometry and Geometric Modeling typically have a 

fairly complicated structure. For further processing, it is necesary to approximate them in a 

function space of reduced complexity, say a spline space. For that reason, the development 

of tools for efficient approximation of geometric objects is an important task, giving rise to 

interesting mathematical questions in the field of multivariate approximation theory. 

34 1 Research

Project: New teaching ideas for a course in differential geometry 

This project develops ideas to re-structure the syllabus of differential geometry courses to 

make the content more accessible. This is of particular interest for teaching mathematics 

education majors and non-mathematics majors. The aim of the method is to enable students 

who do not have very deep knowledge of analysis to understand crucial concepts of 

differential geometry, including geodesics, curvature, and the Gauss-Bonnet theorem. The 

project also deals with interactive displays of curves and surfaces in a classroom setting, 

and how to produce high-quality illustrations. The concept of metric geometry is used to 

explain curvature without differentiation; this also makes it possible to give students easy 

access to current research topics. 

Contact: R. Gunesch 

References 

[1] R. Gunesch. Differential geometry explained easily: A new teaching concept. In M. Ludwig and 

M. Kleine, editors, Beiträge zum Mathematikunterricht 2012, pages 321–324. WTM Publishing 

House, Münster, 2012. 

Project: Blackboard teaching, video recording, and web transmission: a mathematical 

perspective 

Students greatly benefit from being able to review lectures and actually “see” the content 

repeatedly. Thus there is a need for a mechanism for recording visual information during 

class and for transmitting it easily to the students. Several such mechanisms already exist; 

however, they are not tailored towards mathematics. In particular, when dealing with the 

“chalk on blackboard” style of teaching which has remained very common in mathematics 

and which is highly popular both with lecturers and with students, existing software often 

have serious shortcomings. This project develops reliable, easy-to-use, affordable methods 

for this type of recording and transmission. Most importantly, these methods do not require 

lecturers to adapt their teaching style or worry about technology. 

Contact: R. Gunesch 

References 

[1] R. Gunesch. 

[2] R. Gunesch. Improving advanced university courses with new lecturing technology: practical 

studies of classroom video recording and dissemanation on the www. 2013. 

Project: Surfaces in homogeneous 3-manifolds 

Minimal and constant mean curvature surfaces are a traditional subject when the ambient 

space is Euclidean space or more generally a space form such as hyperbolic space or a 

sphere. Recently, the case of homogeneous 3-manifolds has received much attention. We 

study these spaces as Riemannian fibrations and investigate minimal surfaces in these 

spaces in order to obtain minimal and constant mean curvature surfaces in Riemannian 

product spaces by the Benoit sister construction. 

Partner: R. Kusner (Amherst, MA) 

Contact: K. Grosse-Brauckmann 


References 

[1] B. Daniel. Isometric immersions into 3-dimensional homogeneous manifolds. Comment. Math. 

Helv., 82:87–131, 2007. 

[2] K. Grosse-Brauckmann and R. B. Kusner. Conjugate plateau constructions for homogeneous 

3-manifolds. in preparation. 

Project: Periodic surfaces and interfaces 

Periodic surfaces play an important role for the modelling of various naturally occuring 

interfaces. The functional to be minimized is often not exactly known. Nevertheless, there 

are obvious candidates such as area, the Willmore functional, etc.; perhaps under a volume 

constraint. In the constrained Willmore case, limits of the surface families form a way to 

construct a Schoen skeletal graph rigorously as a periodic Steiner tree in three-dimensional 

space. 

Partner: G. E. Schröder-Turk (Universität Erlangen-Nürnberg) 

Contact: K. Grosse-Brauckmann 

Project: Ambient B-Splines 

Ambient B-Splines are a new approach to approximating functions on embedded manifolds 

with arbitrary smoothness and order. It is based on restricting standard tensor product 

splines, defined on ambient space, to the manifold. The well-known stability problem is 

solved by extending the function defined on the manifold constantly in normal direction. 

In this project, we investigate applications of the method in the reconstruction of smooth 

surfaces and in the approximation of large data sets in geo-sciences, like the geoid. 

Partner: Fraunhofer IGD, Darmstadt 

Contact: U. Reif 

Project: Generalized Lane-Riesenfeld Algorithms 

We investigate various generalizations of the fundamental Lane-Riesenfeld algorithm under 

the assumption that equal operators are used for avaraging and refinement. In particular, 

we consider geometric variants, where standard affine combinations are replaced by 

general nonlinear mappings, which are invariant under similarities. 

Partner: K. Hormann and T. Cashman 


Project: Geometric Subdivision Algorithms 

While linear subdivision algorithms are well understood, the analysis of newly devised 

geometric algorithms offers a new challenge. In this project, we develop an approach 

to determining critical Hölder exponents of univariate schemes which are invariant with 

respect to the group of similarity transformations. 

Partner: M. Sabin (University of Cambridge) 


Project: Two-Stage Approximation on Domains 

Approximation of functions or scattered data on n-dimensional domains is a frequent task 

in applications. In this project, we settle the notorious stability and fairness problems near 

36 1 Research

the boundary of the domain by using extended B-splines. Our method is the first one which 

yields optimal approximation order on the whole domain with constants independent of 

the distribution of data sites. 

Partner: O. Davydov and J. Prasiswa 


1.2.4 Didactics and Pedagogics of Mathematics 

Research in the Didactics and Pedagogics of Mathematics 

The working group didactics of mathematics deals with different questions how to teach 

and to learn mathematics. Theoretical studies are the focus of our working group e.g. 

explaining curricular decisions as well as theoretically founded lesson concepts and their 

long-term testing for secondary level I and II for the development of mathematical competences. 

Results of Action Theory form an important basis for our work: we based a theory 

of working with tasks on it as well as a model to describe typical instructional situations. In 

the field of university teaching, we are researching which pedagocical content knowledge 

future teachers are learning e.g. for the assessment of their own respective instruction 

quality. 

In the center of our research in 2011 and 2012 were the following topics and projects: 

1. Constructing and testing competence models (part of the Priority Research Program 

"Competence Models") 

2. The development and evaluation of integrated teaching concepts as well as corresponding 

training and further training concepts for maths teachers, e.g. the 

computer-based teaching and learning of mathematics (CAliMERO) or models for 

initial differentiation (MABIKOM) within the scientific framework of different model 

tests in Lower Saxony in Germany 

3. The development and evaluation of e-learning - activities in research and development 

(participation in the postgraduate program on e-learning at TU Darmstadt), in 

the teacher further training (www.proLehre.de) and for game-based learning 

The DFG priority program "Competence Models" not only allowed to gain valuable insight 

into the possibilities of further development of maths lessons but also to develop new 

survey tools for the collection of ideas on the teaching and learning of maths which were 

presented on national and international conferences 2011 and 2012. New computer-based 

learning and teaching arrangements for Mathematics and Didactics of Mathematics have 

been developed and tested. 

Research Group in Operator Algebras and Mathematical Physics 

Quantum probability is an extension of classical probability theory that allows to treat 

also probabilistic effects of quantum systems. Operator algebras allow a unified treatment 

of both cases, classical probability as well as probability in quantum systems. All basic notions 

of probability like expectations, random variables, stochastic processes, martingales, 

etc. can be formulated in the language of operator algebras in such a way that they reduce 

to the notions of classical probability whenever the operator algebra is commutative. 


Our research interests range from theoretical mathematical investigations to physical 

applications. Consequently, the members of our research group as well as our research 

partners range from pure mathematicians to physicists. 

Common to most of our research is its focus on certain dynamical behaviour, be it the 

dynamics of classical and quantum stochastic processes (Markov processes, noise, quantum 

trajectories, filtering, etc.), be it the dynamics generated by completely positive maps 

(ergodic properties, existence and numerical computation of equilibrium states, quantum 

state preparation, etc.). Our investigations on the long time behaviour of Markov processes 

have opened the door to our recent research on quantum coding. It links quantum probability 

in a new and unexpected way with the fields of quantum information and quantum 

control. 

Project: Effects of Learning and Diagnostic Environments for Mathematics with Game 

Elements (Effekte mathematischer Lern- und Diagnoseumgebungen mit spielerischen 

Elementen) (2011-2013) 

Funded by the department "FiF – Forum für interdisziplinäre Forschung" of TU Darmstadt 

an interdisciplinary research cooperation was initiated. The cooperation was launched 

with Prof. Regina Bruder (Working Group Didactic of Mathematics, FB 4), Prof. Ralf 

Steinmetz (Working Group Serious Games, FB 18) and Prof. Bernhard Schmitz as heads 

of the project and Kristina Richter (FB 4) as project coordinator. 

The research project addresses the topic of instructional and diagnostic support of game 

elements in learning environments for mathematics. The scope of the cooperation is the 

conception and development of a learning game as well as the investigation of effects on 

motivation and learning outcomes of students in mathematics classrooms. The conceptualization 

and development is in progress, the pilot studies are in preparation. 

http://www3.mathematik.tu-darmstadt.de/ags/didaktik/forschung/didaktik/ 

projekte/fif-seit-2011/der-wechsel-ein-mathekrimi.html 

Support: FiF - Forum interdisziplinäre Forschung (2011-2013) 

Contact: R. Bruder and K. Richter 

Project: (HEUristic work with REpresentations of functional relationships and the 

diagnosis of mathematical COmpetencies of students (HEUREKO) 

The research goal of this project was the development and the empirical verification of 

a competence structure model concerning the field of functional relationships in grade 9 

and 10 . In this context we focused on situations where processes of growth and change 

are mathematically assessed (overarching idea "change"). We systematically investigated 

the ability to translate between different forms of representation (algebraic, graphic, numerical 

and verbal form of representation). Therefore we used methods of item response 

theory to gain an important prerequisite for the development of effective teaching and 

learning concepts. Additionally we focused on certain elements of cognitive action to get 

a deeper understanding in the translation process action (Identification, Construction, Description 

and Explanation). 

Concerning the translations between different forms of representation we empirically 

tested the anticipated 5 dimensional competence structure model. In comparison with 

other possible models (using information criteria measures) our model showed the best 

model fit and could be verified. 

38 1 Research

Concerning the elements of cognitive action we additionally analyzed the data set 

and verified a 3 dimensional model with within-item-multidimensionality (http://www. 

kompetenzmodelle.dipf.de). 

Partner: T. Leuders and M. Wirtz, Freiburg; T. Kelava, Darmstadt 

Support: DFG (Priority Research Program "Competence Models" 

Contact: R. Nitsch, R. Bruder 

References 

[1] A. Fredebohm, R. Bruder, T. Leuders, and M. Wirtz. Empiriegestützte Itementwicklung für die 

Kompetenzmodellierung des Arbeitens mit algebraischen Repräsentationen von funktionalen 

Zusammenhängen. In G. Freiburg, editor, Beiträge zum Mathematikunterricht, pages 267–270. 

Münster: WTM-Verlag, 2011. 

[2] R. Nitsch, A. Fredebohm, R. Bruder, D. Naccarella, T. Leuders, and M. Wirtz. Students’ Competencies 

in Working with Functions in Secondary Mathematics Education - Empirical Examination 

of a Competence Structure Model. In International Journal of Science and Mathematics 

Education. to appear. 

Project: MABIKOM 2008-2012 

The project MABIKOM (technology supported mathematics classes with a competency development 

that considers individual student differences) is based on the results of the 

school trial CALiMERO, a joint project of the TU Darmstadt, Texas Instruments and the 

ministry of education in Niedersachsen. 

The school trial CALiMERO develops and tests a teaching concept for using CAS-able 

pocket computers in mathematics classes in secondary schools, classes 7 to 10 in Niedersachsen. 

The project showed the need for other measures for considering individual student 

differences combined with the use of new technologies. Therefore the MABIKOMproject 

was established in 2008. 

The growing demand for individualization and differentiation of teaching and learning 

processes needs an adequate instrument for checking the progress in learning and educational 

diagnostics. A useable repertoire of methods for a flexible organization of the 

learning environment is also needed. 

These requirements are connected to a high standard of teaching and they need many 

preparations that can be managed by a teacher only in a very limited scale. This shows the 

need of adequate supporting instruments like teaching-models and elaborated, tested and 

flexible topic-specific teaching and learning materials. 

This means a teaching concept is needed that is adequate for daily use and appropriate 

for considering individual differences in mathematics classes (grade 5 to 10, starting to 

use technologies in grade 7). It has to meet the claims that many students in a heterogeneous 

study group are appealed cognitive and motivational and that an effective learning 

progress is possible. Details: http://www.proLehre.de 

Partner: T. Wehrse (Niedersachsen) 

Support: TEXAS Instruments and Ministry of Education Lower Saxony 

Contact: R. Bruder 


References 

[1] J. Reibold and R. Bruder. Erfahrungen mit Elementen offener Differenzierung im Mathematikunterricht 

der Sekundarstufe I im niedersächsischen Modellprojekt MABIKOM. In 

R. Lazarides and A. Ittel, editors, Differenzierung im mathematisch-naturwissenschaftlichen Unterricht, 

pages 67–92. Verlag Julius Klinkhardt, 2011. 

Project: CALiMERO 2005-2013 

On the basis of the experiences made with graphics calculators in the German Federal 

State of Lower Saxony the school project started in summer 2005 with the aim to introduce 

the reasonable use of CAS-calculators in secondary school level I. To reach this target 

it is planned to develop a curriculum and design concept for maths lessons where a new 

tasks culture is established and the calculator is used for the enhancement of mathematical 

competencies. The project CAliMERO was started in the school year 2005/2006 in 

six Gymnasiums with 29 classes of level 7 which are working very closely with the developed 

lesson elements. In the current school year they are already 50 schools to use 

the material developed and tested the year before. In the next years CAliMERO will be 

continued up to class level 10. In order to enhance sustainable maths learning with CAS 

it is necessary, as described by Stacey (2003), to establish a teaching culture which corresponds 

to the use of CAS. Therefore a further training course of several days took place 

at the beginning of the project with representatives of the participating schools, experts 

from Lower Saxony and under the direction of Prof. Dr. Regina Bruder. There were discussions 

about appropriate teaching methods to support the development of competencies in 

CAS-supported lessons according to the German education standards (KMK, 2003). The 

teaching concept developed with the participating teachers intends to make use of the 

complex potential of calculators for the discovery of maths and for effective exercises for 

a better understanding. Additional meetings during the project are organized every three 

months to improve communication between the participants, to develop the next teaching 

elements and learning materials for the students and to discuss the state of evaluation. 

Moreover the TU Darmstadt offers project coaching by means of a special internet platform 

which allows to exchange the ideas of the participants and contains all developed 

materials (http://www.prolehre.de). 

Partner: G. Pinkernell, Heidelberg 

Support: TEXAS Instruments and Ministry of Education Lower Saxony 


References 

[1] R. Bruder and W. Weiskirch. CAliMERO - Computer-Algebra im Mathematikunterricht. Band 8: 

Methodische und didaktische Handreichung. 

[2] R. Bruder and W. Weiskirch. CAliMERO - Computer-Algebra im Mathematikunterricht. Band 9: 

Methodische und didaktische Handreichung. 

Project: Internet based professional training for math teachers 

The Department of Mathematics at TU Darmstadt currently provides six Internet based 

professional training courses for math teachers in the German Federal State of Hesse with 

the focus on "Educational Standards for Math". The first half year course "Problem solving" 

started in the school year 2005/2006 followed by the course "Basics" in 2006/2007 

40 1 Research

and "Mathematical Modeling" in 2007/2008. In the school year 2010/2011 two courses 

"Mathematical Arguing" and "Within Differentiation" were established. In the school year 

2011/2012 a new course "long-term building-up of Competence" went to start. Already 

about 500 teachers have been trained in these courses. Two internet platforms developed 

at the TU Darmstadt (Prof. Dr. Regina Bruder et al) are used as supporting systems 

for the courses: http://www.madaba.de (structured collection of math tasks) and 

http://www.problemloesen.de (materials for problem solving). An Evaluation and investigation 

of the sustainability of the professional trainings is proceeding in the frame 

of a part project. Research questions are how the teachers estimate the increase of their 

knowledge, which elements of the competences are conversant to the teacher after half 

respectively one year and how the teachers estimate the effects of the courses. Details on 

http://www.proLehre.de 

Partner: J. Reibold, R. Szymanski, A. Böhnke 

Support: Ministry of Education Hesse and Project SINUS-Transfer in Hessen 

Contact: R. Nitsch 

References 

[1] R. Szymanski and R. Bruder. Lehrerprofessionalisierung im Online-Zeitalter – Konzeption und 

Evaluation von Online-Fortbildungskursen für Mathematiklehrkräfte. In M. Kobarg, C. Fischer, 

I. M. Dalehefte, F. Trepke, and M. Menk, editors, Lehrerprofessionalisierung wissenschaftlich 

begleiten - Strategien und Methoden, pages 87–101. Taiwan: PME, 2012. 

Project: E-Learning Label and third party certification of E-Learning-Quality for computerbased 

learning environments (TUD-Gütesiegel) 

Details on http://www.elc.tu-darmstadt.de/ and http://www.tud-guetesiegel.de. 

Partner: A. Müller, S. Melikov, J. Sonnberger (Research Training Group on Feedback 

Based Quality Management in eLearning) 

Support: TU Darmstadt 


Project: PEDALE (PEer-based Diagnostic And Learning Environment) (2009-2012) 

Starting as an interdisciplinary research cooperation, which was established in the context 

of the Research Training Group on Feedback Based Quality Management in eLearning 

(GRK E-Learning), the research project PEDALE (PEer-based Diagnostic And Learning 

Environment) was continued by Prof. Regina Bruder (Working Group Didactic of Mathematics, 

FB 4) and Prof. Ralf Steinmetz (Working Group Serious Games, FB 18) as heads 

of the project and Kristina Richter (FB 4) and Johannes Konert (FB 18) as project members. 

The technical development was finalized and a testing study was conducted in seven 

classrooms in Hesse. 

The research project PEDALE (PEer-based Diagnostic And Learning Environment) adresses 

the topic of instructional support for mathematics classes with appropriate eLearning conceptions. 

The scope of PEDALE is the development of a computer-supported and peerbased 

learning and diagnosis environment for secondary school mathematics. The learning 

environment is designed to provide and distribute tasks, to manage peer review processes 

within the classroom network and to support the diagnostic activities of the teacher. The 


project is in progress. 

http://www3.mathematik.tu-darmstadt.de/index.php?id=1480 

Support: DFG - GK E-Learning (2009-2011) 

Contact: R. Bruder, K. Richter 

References 

[1] J. Konert, K. Richte, F. Mehm, S. Göbel, R. Bruder, and R. Steinmetz. PEDALE – A Peer Education 

Diagnostic and Learning Environment. In Journal of Educational Technology & Society, 

Vol. 15, Nor 4, pages 27–38, 2012. 

Project: TELPS - Teacher Education Lesson Plan Survey (2009-2013) 

The aim of the project is to explore prospective teachers’ mathematical pedagogical content 

knowledge (MPCK) within a Repertory Grid Survey and to support prospective teachers’ 

development of professional competencies within this survey. This project is designed as 

a cross-sectional study with longitudinal components at the University of Technology Sydney 

and the TU Darmstadt. 

We adapted the Repertory Grid Method and chose lesson plans as objects, which should be 

compared by the participants. Initially the participants were asked to focus their thoughts 

on the features of a "good" mathematics lesson, listing them in no particular order. We 

believed that this initial part of the survey would help them to get started with the analysis 

of the lesson plans that was important for those students who were in their first teacher 

education class. They then compared two lessons. The results of this comparison are documented 

in agrid, where the participants estimated the occurrence of the characteristics. 

Within the project we can show, that students’ perspectives on mathematics lesson plans 

changed in different ways: Some are more detailed in their lesson plan analysis, some 

change the focus of their analysis, some lose facets or foci, and some get more multifarious 

in their lesson plan comparison. These results are used to create an individual partly 

automated feedback, which is furthering participants’ individual development of MPCK. 

This feedback was programmed in cooperation with the department of computer science 

(TU Darmstadt). 

Partner: A. Prescott (University of Technology Sydney) 

Contact: I. Bausch, R. Bruder 

References 

[1] I. Bausch, R. Bruder, and A. Prescott. Personal Constructs of Planning Mathematics Lessons. In 

Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics 

Education, Vol. 2, pages 113–120. Türkei: PME, 2011. 

[2] A. Prescott, I. Bausch, and R. Bruder. TELPS: Method for Analysing Mathematics Pre-Service 

Teachers’ Pedagogical Content Knowledge. Teaching and Teacher Education . in press. 

Project: DisKoLaMa (2009-2012) 

The goal of this project is the development and testing of instruments to measure diagnostic 

competences of (future) mathematics teachers at secondary schools (Gymnasium) and 

at vocational secondary schools (Berufliche Schulen). Furthermore, the aim is to describe 

individual diagnosing skills and competences of students and student teachers and to uncover 

their progress in developing these skills and competences. The measured objects 

42 1 Research

are diagnostic competences of processes and results of individual competence acquisition 

of students in mathematics lessons with a focus on "mathematical basic knowledge" and 

"problem solving competence". First of all, a model to measure diagnostic competence of 

(future) mathematics teachers with the elements of knowledge, action competence and 

meta competence will be developed and then put into practice in form of questionnaires 

and guided interviews. A part of the survey will be developed and tested in form of an 

online questionnaire. All instruments developed are to serve the uncovering of diagnostic 

competence of students wanting to become teachers at the beginning and end of their 

studies as well as for student teachers at the beginning and end of their practice teaching 

period. With this evaluation, a cross-sectional as well as a longitudinal look at things will 

unfold so that different developments will be observed. Competences will be measured at 

the TU Darmstadt of student beginners who want to become teachers in secondary schools 

for mathematics (general secondary schools and vocational) and with student trainees doing 

their practice teaching seminar in the Darmstadt area. The results of the questionnaires 

will be added to the competence portfolio of students becoming teachers and are meant 

to contribute to the self-assessment of students and student trainees. The evaluation results 

will form the basis for measures of targeted support and diagnosis competences for 

teacher education and continuing training. In addition, one can use the results to describe 

the respective effects for teacher education and continuing training. The results will be 

published on relevant national and international conferences. 

http://www.empirische-bildungsforschung-bmbf.de/zeigen.html?seite=8285 

Support: BMBF 

Contact: H. Fey, R. Bruder 

Project: COnceptual DIfficulties in the field of functional relationships (CODI) 

The research project CODI addresses the development of a diagnostic tool which focuses 

students’ conceptual difficulties in grade 8 and 9 in the field of functional relationships. 

In a first step the term learning difficulties has to be conceptualized. Therefore learning 

difficulties and especially misconceptions are embedded in the framework of the social 

historical activity theory. This learning theory gives special possibilities to describe the 

learning process and mechanisms of orientation when solving a given task. 

Based on the project HEUREKO and a broad literature background typical learning difficulties 

will be operationalized by developing a test instrument which gives the possibility 

to uncover individual learning difficulties. One main focus is the diagnosis of special misconceptions 

because they are particularly stable and resistant to instruction. With the help 

of such a diagnostic tool, teachers are able to counteract learning difficulties and especially 

misconceptions, so that they are not intensified and will result in successful learning 

processes. 

On the long term, mathematics teachers should have the chance to be supported by an 

online diagnostic tool, so that learning difficulties can be identified more easily. This adequate 

analysis of students’ difficulties should in turn lead to individual support so that the 

identified difficulties and misconceptions will be removed. 

Contact: R. Nitsch, R. Bruder 


References 

[1] R. Nitsch and R. Bruder. Diagnose von Lernschwierigkeiten im Bereich funktionaler Zusammenhänge. 

In Beiträge zum Mathematikunterricht. Münster: WTM-Verlag, in press. 

Project: Knowing how to reflect on linear algebra at the level of secondary education 

When focusing on competence orientation, one sometimes loses sight of subject-specific 

knowledge and skills as prerequisite for competence. However, it is known that subjectspecific 

knowledge is the most important individual factor for successful learning processes. 

Different institutions such as universities or training companies complain about 

deficient pre-knowledge of high school graduates. Due to the aforementioned reasons, 

representatives of mathematical education sectors started to discuss about basic knowledge 

or basic competences in terms of minimum standards. The Didactic and Pedagogy 

Research Group is researching on this topic in different projects with the goal to develop 

a concept of mathematical basic knowledge and basic skills. The respective research is 

based on action theory. Mathematical basic knowledge and basic skills comprises all kinds 

of mathematical knowledge and skills, abilities as well as capabilities that exist on a longterm 

basis and independent of situations at the end of both secondary levels; especially 

without the use of any auxiliary means. The demands and requirements resulting from a 

pragmatic point of (vocational training) employers have to be complemented by subjectspecific 

viewpoints and the educational viewpoints of schools. 

In the German speaking research communities of didactics or pedagogy, an interesting 

construct is currently being discussed with the term "reflective knowledge". This construct 

allows a broadening of the basic knowledge and basic skills perspective with regard to educational 

demands. In this project, a concept of reflective knowledge will be developed and 

substantiated for the secondary level of high school in linear algebra used for the construction 

and selection of tasks that are especially suitable for the development of reflection. 

Basic actions will then be derived for these tasks concerning the necessary requirements. 

This way it will be possible to indicate the depth and quality in an operationalized form of 

the skills that are necessary for these basic actions. 

Contact: O. Schmitt 

References 

[1] O. Schmitt and R. Bruder. Grundwissen als Voraussetzung für Reflexionen - am Beispiel des 

Gaußalgorithmus. In G. Freiburg, editor, Beiträge zum Mathematikunterricht, pages 761–764. 

Münster: WTM-Verlag, 2012. 

Project: Stationary States, Recurrence and Transience for Quantum Dynamics 

Probabilistic Markovian behavior is described by semigroups of transition matrices or, more 

generally, by transition kernels. In quantum probability, this generalizes to semigroups of 

completely positive operators on the algebra of observables. As in classical probability, 

existence, uniqueness, and convergence to stationary states—states generalize probability 

distributions—are an important issue whenever one is interested in the long time behavior 

44 1 Research

of such a dynamics. For finite systems a Perron-Frobenius type theory is available, for 

infinite systems, notions of recurrence and transience become crucial. 

In this project we introduce suitable quantum versions of the above notions and apply them 

to the above mentioned problems. Starting from a noncommutative version of the Riesz 

decomposition theorem we were able to develop a coherent approach to recurrence and 

transience. It leads to a classification of idempotent Markov operators, thereby identifying 

concretely the Choi-Effros product, and to an abstract Poisson integral. The paradigmatic 

case of semigroups on the algebra ( ) of all bounded operators on a Hilbert space 

was studied in more detail. These may be viewed as a quantum version of Markovian 

semigroups on countably many states. Presently, our interest focuses on expanding this 

theory to more general settings. 

Partner: R. Gohm (Aberystwyth) 

Contact: B. Kümmerer, A. Gärtner 

References 

[1] A. Gärtner and B. Kümmerer. A Coherent Approach to Recurrence and Transience for Quantum 

Markov Operators. Preprint, TU Darmstadt, 2012. 

Project: Representations of Finitely Correlated States 

A stationary Markov Chain on a finite set in probability theory permits two basically equivalent 

descriptions: Given a stochastic matrix with invariant probability distribution one 

can consider the induced stationary Markov measure on the path space or one can consider 

the induced stationary Markov process. 

In noncommutative probability theory this equivalence breaks: There is no way of 

a canonical correspondence between noncommutative stationary Markov processes— 

Markov Dilations—and noncommutative stationary Markov measures—certain states on 

an infinite tensor product C*-algebra. This lack is due to non existence of needed conditional 

expectations which is a pure noncommutative phenomenon. 

In this project, we succeed in constructing representations of a certain class of noncommutative 

Markov measures known as finitely correlated states using inductive limits of Hilbert 

spaces, C*-algebras and representations. 

This techniques allow us to analyse some entanglement properties of the one side restriction 

of a pure finitely correlated state and, especially, determining its von Neumann 

entropy which would be impossible using only restrictions on finite dimensional subalgebras. 

We clarify the connection between aperiodic irreducibility of a pure transition 

operator, irreducibility of certain representations and thus purity of certain finitely correlated 

states. 

Contact: B. Kümmerer, W. Reußwig 

References 

[1] W. Reußwig. Representations of Finitely Correlated States. PhD thesis, TU Darmstadt, 2013. 

PhD thesis. 

Project: Quantum Control: Approach based on Scattering Theory for Noncommutative 

Markov Chains and Multivariate Operator Theory 


The aim of this project is to explore genuinely non-commutative versions of control theory 

with a view toward direct applications to the emergent discipline of quantum control. 

A basic idea of this project is to make use of recent developments in multivariate operator 

theory. While in classical operator theory a single operator is analysed, in multivariate 

operator theory the joint action of a family of operators is studied. These operators may not 

commute with each other. Nevertheless there are analogues to classical results in complex 

analysis such as the idea of multi-analytic operators. In fact, many of the operator results 

which are relevant for classical control theory can be extended to this setting. We develop 

these tools with applications to quantum control. Scattering theory for non-commutative 

Markov chains is a theory about open quantum systems with many connections to operator 

theory. Recently the wave operator occurring in this theory has been rewritten as a multianalytic 

operator. On the other hand it is possible to interpret this theory as a version of 

open-loop control, for example it has been successfully applied to the preparation of states 

in a micromaser interacting with a stream of atoms. 

Hence it is very natural to start here to develop the methods of multivariate operator 

theory as applied to the problems in quantum control. Once the bridge between quantum 

control and multivariate operator theory is understood in the specific directions described 

above we speculate that a considerable amount of related mathematics becomes available 

for engineering applications. 

Partner: R. Gohm, J. Gough, C. Köstler, Aberystwyth University; H. Maassen, University 

of Nijmegen 

Support: Engineering and Physical Sciences Research Council (EPSRC), GB. 

Contact: B. Kümmerer 

References 

[1] R. Gohm, B. Kümmerer, and T. Lang. Noncommutative symbolic coding. Ergodic Theory and 

Dynamical Systems, 26:1521 – 1548, 2006. 

[2] B. Kümmerer and H. Maassen. Scattering theory for generalized markov chains. Infinite 

Dimensional Analysis, Quantum Probability, and Related Topics, 3:161 – 176, 2000. 

Project: Propp Wilson Algorithms for Quantum Markov Chains 

In the theory of Markov chains it is one of the major tasks to determine stationary probability 

distributions. Important applications are, e. g. to statistical physics or image analysis. 

For large state spaces stationary distributions can be determined only numerically by various 

Monte Carlo methods. They produce random samples distributed according to the 

unkown stationary distribution. The disadvantage of most such methods is that the samples 

are only approximately distributed like the required distribution; longer running time 

results in better approximation. Hence, the decision on the so called ’burn-in-period’ is 

left to the user. In 1995 J. D. Propp and D. B. Wilson published the Coupling from the 

Past algorithm, which drew the most attention among the exact sampling algorithms. It 

reaches the target distribution in finite time almost surely and then stops automatically. 

For quantum Markov chains – they are used in quantum information, quantum optics, or 

quantum statistical mechanics – such types of algorithms have hitherto been unkown. Due 

to the lack of path representations for such processes they have even been considered impossible 

by some authors. 

46 1 Research

Based on a quantum version of the idea of synchronizing words, we succeeded in developing 

a Coupling from the Past algorithm for aperiodic, irreducible quantum Markov chains. 

It can, in particularly, be applied to relevant open quantum systems from quantum optics 

such as the micro-maser. 

Contact: B. Kümmerer, N. Sissouno 

References 



[2] N. Sissouno. A Non-commutative Version of the Coupling from the Past Algorithm. PhD thesis, 

TU Darmstadt, 2011. 

Project: A Coupling Method for Quantum Markov Processes 

In the theory of Markov processes it is important to obtain information on their long time 

behaviour. Markov processes with finite state space always have a stationary distribution 

and for irreducible aperiodic processes there are various ways to estimate the speed of 

convergence to the equilibrium distribution. 

On an infinite state space, however, a Markov process in general does not admit a stationary 

distribution. In the recent decade the coupling method has established as a tool to 

investigate their asymptotic behaviour. In particular, the coupling inequality plays a major 

role for estimating the distance between two initial distributions after long times. 

In this project we succeeded in developing coupling techniques for quantum or noncommutative 

Markov chains. In particular, a coupling inequality is derived for such 

processes. The lack of the notion of a diagonal in this setting drives us to find an approach 

different from the classical one. In particular, the commutant of an operator algebra 

and Tomita-Takesaki-Theory comes in. It may be interesting to note that our approach 

links couplings to the decay of entanglement of certain quantum states, a subject of great 

interest in quantum information. 

Contact: B. Kümmerer, K. Schwieger 

References 



[2] K. Schwieger. A Coupling Method for Quantum Markov Processes. PhD thesis, TU Darmstadt, 

2012. 

Project: Measures of Entanglement and Norms on Tensor Products 

It is one of the basic problems of quantum information to measure degrees of entanglement 

for quantum states. 

A quantum system is described by a state on a Hilbert space, i. e. a non-negative trace class 

operator with trace one. For the description of composed quantum systems one has to use 

a state on the tensor product of the corresponding Hilbert spaces. For example, a tensor 

product of states describes a joining of independent quantum systems. Since the state 

space of a quantum system is a convex set one can consider the convex hull of the product 

states: The set of separable states. But not all states on the tensor product Hilbert space are 

separable. Such states are called entangled. Experiments show that only entangled states 


ehave truely quantum mechanically as they violate Bell’s inequalities and can be used for 

quantum cryptography and quantum computation. 

There exist various notions in the literature of how to measure the degree of entanglement: 

it should measure the usability of an entangled state for true quantum effects. But most 

of these notions are bound to bi-partite systems. Recently, W. Arveson used the maximal 

or projetive norm on tensor products to establish a universal measure of entanglement. In 

this project we compute Arveson’s measure of entanglement for some interesting states on 

multipartite systems or give better bounds for it. 

Contact: B. Kümmerer, F. Sokoli, W. Reußwig 

References 

[1] W. Arveson. Maximal vectors in hilbert space and quantum entanglemen. J. Funct. Anal., 

256:1476 – 1510, 2009. 

[2] F. Sokoli. Der innere Radius in der Quantenverschränkung. PhD thesis, TU Darmstadt, 2013. 

1.2.5 Logic 

The research group in Mathematical Logic and Foundations of Computer Science represents 

the subject area of Mathematical Logic viewed as an applied foundational discipline between 

mathematics and computer science. Research activities focus on the application 

of proof theoretic, recursion theoretic, category theoretic, algebraic and model theoretic 

methods from mathematical logic to mathematics and computer science. 

Beside classical mathematical logic (represented with proof theory, recursion theory and 

model theory) this involves constructive type theory, categorical logic, universal algebra, 

domain and lattice theory, finite model theory and complexity theory. 

Within mathematics, a primary field of applications in the proof- and recursion-theoretic 

setting is the extraction of new information from proofs in classical mathematics (proof 

mining: Kohlenbach). This concerns qualitative aspects (e.g., independence of existence 

assertions from certain parameters) as well as quantitative aspects of computability and 

complexity of solutions, extraction of algorithms and bounds from proofs, and links with 

exact real arithmetic, computational mathematics (Kohlenbach, Streicher, Ziegler). Model 

theoretic investigations make intra-mathematical links with algebra and discrete mathematics, 

e.g. graphs and hypergraphs (Herrmann, Ihringer, Otto). 

Concerning Logic in Computer Science and the mathematical foundations of computer 

science, major activities revolve around issues of semantics. On the one hand, this involves 

the mathematical foundation of the semantics and the logic of programming languages 

(Keimel, Streicher); on the other hand, logics and formal systems are investigated in the 

sense of model theoretic semantics, w.r.t. expressiveness and definability, with an emphasis 

on computational aspects (algorithmic and finite model theory, descriptive complexity: 

Otto). Besides specific application domains in computer science, as, e.g., verification, data 

bases and knowledge representation, there is work on foundational issues in the areas 

of computability and complexity (Ziegler), as well as type theory and category theory 

(Streicher). 

Overall, the logic group forms an internationally well connected cluster of expertise, with a 

characteristic emphasis on the connections that mathematical logic has to offer, both w.r.t. 

to other areas within mathematics and w.r.t. to the “logic in computer science” spectrum. 

48 1 Research

A research group on Formal Concept Analysis focuses on graphical logic systems for concept 

analysis in knowledge acquisition and processing applications (Burmeister, Wille). Rooted 

in the General Algebra and Discrete Mathematics group (former AG1) this research is being 

pursued in particular in co-operation with the “Ernst Schröder Zentrum für Begriffliche 

Wissensverarbeitung e.V.” 

Project: The Expressive Power of Monadic Second-Order Logic and its Variants 

We study the expressive power of various versions of monadic second-order logic. The focus 

is in three areas: (1) Extensions of monadic second-order logic by certain boundedness 

quantifiers. The ultimate goal is the satisfiability problem for the logic MSO + . (2) An 

algebraic framework for recognisability of languages of infinite trees. Here we aim at effective 

characterizations for fragments of monadic second-order logic. (3) The expressive 

power of monadic second-order logic over certain classes of graphs. In particular, we try to 

characterize those classes where we can define a linear ordering in monadic second-order 

logic. 

Partner: T. Colcomet (University of Paris Diderot (Paris VII)); B. Courcelle, D. Janin (University 

of Bordeaux 1). 

Support: German Research Association (DFG). 

Contact: A. Blumensath 

References 

[1] A. Blumensath. An Algebraic Proof of Rabin’s Tree Theorem. Theoretical Computer Science. to 

appear. 

[2] A. Blumensath. Recognisability for algebras of infinite trees. Theoretical Computer Science, 

412:3463–3486, 2011. 

[3] A. Blumensath and B. Courcelle. Monadic second-order definable graph orderings. submitted. 

[4] A. Blumensath, M. Otto, and M. Weyer. Decidability Results for the Boundedness Problem. 

submitted. 

Project: New frontiers in proof mining 

During the last decade a program of ‘proof mining’ evolved and has successfully applied 

to a number of areas of core mathematics. This program is concerned with the extraction 

of hidden finitary and combinatorial content from proofs that make use of highly infinitary 

principles and has turned out to be particularly successful in the context of abstract 

functional analysis and ergodic theory. In this project we extend the currently existing 

proof mining machinery to proof that use highly ineffective principles that have not been 

covered so far. This concerns e.g. proofs that make use of Banach limits and hence – for all 

what is known – some substantial use of the axiom of choice. In [1] we develop a method 

for eliminating such uses of Banach limits from strong convergence proofs in nonlinear 

analysis. We apply this method for the extraction of quantitative bounds from a proof of 

a nonlinear ergodic theorem in the context of CAT(0)-spaces due to Saejung. Another instance 

of this machinery is provided in [2] where we analyze the proof of a corresponding 

result in the context of Banach spaces with a uniformly Gâteaux differentiable norm due 

to Shioji and Takahashi. 


Together with K. Schade we extended the work done in [1] to so-called modified Halpern 

iterations in CAT(0)-spaces (see [4]). Ongoing work (with D. Körnlein) deals with metastability 

bounds for the resolvent of nonexpansive and accretive operators in Hilbert and uniformly 

smooth spaces. In particular, we aim at a quantitative treatment of so-called sunny 

nonexpansive retracts. 

Support: Kurt-Gödel-Society, John Templeton Foundation, DFG projects KO 1737/5-1 

and KO 1737/5-2 

Partner: L. Leuştean, Romanian Academy, Bucharest 

Contact: U. Kohlenbach 

References 

[1] U. Kohlenbach and L. Leu¸stean. Effective metastability for Halpern iterates in CAT(0) space. 

Advances in Mathematics, 231:2526–2556, 2012. 

[2] U. Kohlenbach and L. Leu¸stean. On the computational content of convergence proofs via 

Banach limits. Philosophical Transactions of the Royal Society A, 370:3449–3463, 2012. 

[3] D. Körnlein and U. Kohlenbach. Effective rates of convergence for Lipschitzian pseudocontractive 

mappings in general Banach spaces. Nonlinear Analysis, 74:5253–5267, 2011. 

[4] K. Schade and U. Kohlenbach. Effective metastability for modified halpern iterations in CAT(0) 

spaces. Fixed Point Theory and Applications, 2012:19pp., 2012. 

Project: Effective metastability in nonlinear ergodic theory 

In this project we extract explicit effective rates of metastability (in the sense of Tao) for 

nonlinear generalizations of the von Neumann mean ergodic theorem due to Baillon and 

Wittmann. In the absence of linearity the strong convergence of the ergodic mean fails to 

hold in general while weak convergence is still true due to the famous Baillon nonlinear 

ergodic theorem. In [3] we extract a rate of metastability for the weak Cauchy property 

for Baillon’s theorem in the Hilbert space case (based on a computational analysis of weak 

compactness from [2]). While strong convergence in general fails, there are important 

cases where it is still true, e.g. for odd operators (Baillon) or even more general operators 

satisfying a condition due to Wittmann. In this situation, an explicit primitive recursive 

rate of the metastability of the strong convergence is extracted in [4]. For related results 

obtained in this project, see [1]. Another important nonlinear generalization of the von 

Neumann theorem is again due to Wittmann who proved that a so-called Halpern iteration 

– which in the linear case coincides with the Cesàro mean from the mean ergodic theorem 

– strongly converges in Hilbert space. This is discussed in the project “New Frontiers in 

Proof Mining”. 

Support: German Science Foundation (DFG) as part of project KO 1737/5-1 

Contact: U. Kohlenbach, P. Safarik 

References 

[1] U. Kohlenbach. On the asymptotic behavior of odd operators. Journal of Mathematical Analysis 

and Applications, 382:615–620, 2011. 

[2] U. Kohlenbach. Gödel functional interpretation and weak compactness. Annals of Pure and 

Applied Logic, 163:1560–1579, 2012. 

[3] U. Kohlenbach. A uniform quantitative form of sequential weak compactness and Baillon’s 

nonlinear ergodic theorem. Communications in Contemporary Mathematics, 14, 2012. 

50 1 Research

[4] P. Safarik. A quantitative nonlinear strong ergodic theorem for Hilbert spaces. J. Math. Analysis 

Appl., 391:26–37, 2012. 

Project: Term extraction and Ramsey’s Theorem for pairs 

This project studies with proof-theoretic methods the function(al)s provable recursive relative 

to Ramsey’s theorem for pairs and the (strong) cohesive principle (COH). Our main 

result on (COH) is that the type 2 functionals provable recursive from RCA 0 + COH are 

primitive recursive and that there is a proof-theoretic method to extract primitive recursive 

bounds from proofs that use COH. As a consequence we also obtain a new proof of 

the fact that over RCA 0 the principle COH is Π 0 3 -conservative over RCA 0 (see [4]). In [1] 

it, moreover, is shown that COH is equivalent to a weak variant of the Bolzano-Weierstraß 

principle. This makes it possible to use our results to analyze not only combinatorial but 

also analytical proofs. 

In [3] similar term extraction results are obtained for the ‘chain antichain principle’ which 

is stronger than COH and implies that every sequence of reals has a monotone subsequence. 

For Ramsey’s theorem for pairs and two colors (RT 2 2 

) we obtain ([4]) that the type 2 functionals 

provable recursive relative to RCA 0 are in T 1 . This is the fragment of Gödel’s system 

T containing only type 1 recursion — roughly speaking it consists of functions of Ackermann 

type. With this we also obtain a uniform method for the extraction of T 1 -bounds 

from proofs that use RT 2 2 . 

An application of a use of RT 2 2 

in core mathematics is given in [2] where it is shown that 

a certain generalized Banach contraction principle can be proven with RT 2 2 

relative to a 

theory to which our conservation results apply. 

Support: German Research Association (DFG) as part of project KO 1737/5-1 

Contact: U. Kohlenbach, A. Kreuzer 

References 

[1] A. P. Kreuzer. The cohesive principle and the Bolzano-Weierstraß principle. Math. Logic Quart., 

57:292–298, 2011. 

[2] A. P. Kreuzer. A logical analysis of the generalized Banach contractions principle. J. of Logic 

and Analysis, 4:16pp., 2012. 

[3] A. P. Kreuzer. Primitive recursion and the chain antichain principle. Notre Dame J. Formal 

Logic, 53:245–265, 2012. 

[4] A. P. Kreuzer and U. Kohlenbach. Term extraction and Ramsey’s theorem for pairs. J. Symb. 

Logic, 77:853–895, 2012. 

Project: Fluctuations, effective learnability and metastability in analysis 

We investigate what kind of quantitative information one can extract under which circumstances 

from proofs of convergence statements in analysis. It turns out that from 

proofs using only a limited amount of the law-of-excluded-middle, one can extract functionals 

(B, L), where L is a learning procedure for a rate of convergence which succeeds 

after at most B(a)-many mind changes. This (B, L)-learnability provides quantitative information 

strictly in between a full rate of convergence (obtainable in general only from 

semi-constructive proofs) and a rate of metastability in the sense of Tao (extractable also 


from classical proofs). In fact, it corresponds to rates of metastability of a particular simple 

form. Moreover, if a certain gap condition is satisfied, then B and L yield a bound on the 

number of possible fluctuations. This allows one to explain recent applications of proof 

mining to ergodic theory in terms of these results. 

Support: German Science Foundation (DFG) as part of project KO 1737/5-1 

Contact: U. Kohlenbach, P. Safarik 

References 

[1] U. Kohlenbach and P. Safarik. Fluctuations, effective learnability and metastability in analysis. 

Preprint (submitted), TU Darmstadt, 2012. 

Project: Computing common fixed points of families of maps 

We use logical proof-mining techniques to extract an explicit effective and uniform bound 

on the rate of asymptotic regularity of an iteration schema involving a finite family of nonexpansive 

mappings. The results presented in this paper contribute to the general project 

of proof mining as developed by the second author as well as generalize and improve 

various classical and corresponding quantitative results in the current literature. More 

precisely, we give a rate of asymptotic regularity of an iteration schema due to Kuhfittig 

for finitely many nonexpansive mappings in the context of uniformly convex hyperbolic 

spaces. The bound only depends on an upper bound on the distance between the starting 

point and some common fixed point, a lower bound 1/N ≤ λ n (1 − λ n ), the error ε > 0 

and a modulus η of uniform convexity. Our results generalize previous results due to the 

2nd author (in the normed case) and L. Leuştean (in the hyperbolic case) for one map to 

the case of finitely many maps ([2]). Another topic concerns the strong convergence for a 

hybrid-type shrinking projection method in Hilbert space([1]). 

Support: Higher Education Commission of Pakistan (HEC), German Research Association 

(DFG) as part of project KO 1737/5-1 

Contact: M. A. A. Khan, U. Kohlenbach 

References 

[1] M. A. A. Khan and H. Fukhar-ud-din. Strong convergence by the shrinking effect of two 

half-spaces and applications. Fixed Point Theory and Applications, 2013:30, 2013. 

[2] M. A. A. Khan and U. Kohlenbach. Bounds on Kuhfittig’s iteration schema in uniformly convex 

hyperbolic spaces. Preprint (submitted), TU Darmstadt, 2012. 

Project: Theory of Competitive Interactions 

We are working on general guidelines to design e.g. economic or political systems. Said 

otherwise, our aim is to understand competitive interactions between agents or stakeholders 

in various settings and to design rules for them to result in behavior that (is not 

necessarily predictive but) satisfies certain desired properties. Beside experience and humanities, 

this understanding will come partly from the mathematical study of a limited 

number of general models, as opposed to a multitude of ad hoc models. The literature is 

full of toy examples, time has come for abstraction! 

The theory under development uses traditional game theory as a starting point, but it shall 

be able to adjust to revolutions in other fields of knowledge, either by ensuring robustness 

52 1 Research

of the results regardless of the representation of the sociology/psychology/biology of the 

agents, whatever rationality or computability mean, and whether the world is discrete or 

continous, or by explaining why two different representations of the world yield two contradictory 

results. 

To generalise traditional game theory in a relevant direction, one can invoke existing mathematical 

results. Especially, determinacy results are results from logic, set theory, or theoretical 

computer science that use a game-theoretic terminology to describe some abstract 

objects of interest. I have generalised many of these results (Borel determinacy, finitememory 

determinacy of Muller games, positional determinacy of parity games, etc.) into 

proper game-theoretic results and I plan to do the same with e.g. Blackwell determinacy 

(from set theory) or Fraisse-Ehrenfreucht-like theorems (from model theory). This part of 

my project has given me and will give me a broader understanding of games in the spirit of 

what has been done since the 1930’s, albeit in a more general setting. Since a few decades, 

though, two legitimate concerns have entered the realm of game theory by becoming internal 

to the models: Computation (informally since the 1950’s and technically only later) 

and knowledge (since the 1960’s). 

Ultimately my objective is to be able to say, knowing the options of the agents and their 

mental abilities (w.r.t. awareness and computation), how the system will evolve and possibly 

stabilize. In particular, the fulfilled objective will enable computation (of some sort) 

of a best move (when relevant) and it will also guide the design of a system that gives 

the right incentives, such that the agents behave in a desired way. It is called mechanism 

design and relate to my objective stated at the first sentence of this document. 

Partner: A. Pauly, Cambridge; Eurex Clearing, Frankfurt 

Contact: S. Le Roux 

References 

[1] S. Le Roux. Infinite nash equilibrium. Logical Methods in Computer Science. To appear. 

[2] S. Le Roux. From determinacy to Nash equilibrium. Preprint 1203.1866, arXiv, 2012. 

Project: Model Constructions and Model-Theoretic Games in Special Classes of Structures 

This four-year project was successfully completed in 2011. Its emphasises was on the 

relationship between the model theory of well-behaved classes of structures, combinatorial 

techniques for model constructions within these classes, and the manageability of 

Ehrenfeucht-Fraïssé techniques, cf. [6, 8]. Among the key aspects of the game related 

model theoretic analysis are locality phenomena in the spirit of Gaifman’s locality theorem. 

Two main thematic tracks have emerged within this overarching project: 

(A) The study of configuration graphs of pushdown systems (of first and second order, 

and with non-local link structure, as in nested trees or collapsible pushdown systems) 

through structural analysis and Ehrenfeucht–Fraïssé techniques. Alexander Kartzow’s dissertation 

[5] and his publications [2, 3, 4] witness the decidability of first-order logic over 

interesting classes of finitely presented infinite structures, thus pushing the boundaries of 

first-order decidability. 

(B) The investigation of qualified acyclicity in finite hypergraph constructions, based on 

combinatorial group-theoretic methods. The novel construction of finite Cayley groups 


that satisfy much stronger acyclicity conditions than a lower bound on their girth in the 

usual sense have been obtained in [7]. These groups could be used in the constructions of 

finite hypergraph covers with what seems to be an optimal control of cycles in finite covers. 

Together with the Ehrenfeucht-Fraïssé analysis of such sufficiently acyclic and highly 

branching finite hypergraphs, this approach has led to the positive resolution of a long 

open characterisation of the expressive power of the guarded fragment of first-order logic 

in finite model theory. A different approach to hypergraph covers with qualified acyclicity 

properties in joint work with Georg Gottlob (Oxford) and Vince Barany in [1] generated 

a number of optimal decidability and complexity results concerning the guarded fragment 

and its interaction with conjunctive queries. These results are of interest both theoretically 

and for applications in database theory. Ramifications of the two entirely different techniques 

employed in these approaches and links with further potential applications (e.g. in 

the model theory of modal logics) are core elements in a new project proposal currently 

under review. 

Support: DFG 

Contact: M. Otto 

References 

[1] V. Barany, G. Gottlob, and M. Otto. Querying the guarded fragment. Preprint of journal version 

of LICS’10 paper, available online, 2012. 

[2] A. Kartzow. First-order model checking on nested pushdown trees. In Proceedings of Mathematical 

Foundations of Computer Science, MFCS 2009, volume 5734 of LNCS, pages 451–463. 

Springer Verlag, 2009. 

[3] A. Kartzow. Collapsible pushdown graphs of level 2 are tree-automatic. In Proceedings of 

the 27th International Symposium on Theoretical Aspects of Computer Science, STACS 2010, 

volume 5, pages 501–512, 2010. 

[4] A. Kartzow. Collapsible pushdown graphs of level 2 are tree-automatic. In J.-Y. Marion and 

T. Schwentick, editors, Proceedings of the 27th International Symposium on Theoretical Aspects 

of Computer Science (STACS 2010), volume 5 of Leibniz International Proceedings in Informatics 

(LIPIcs), pages 501–512, Dagstuhl, Germany, 2010. Schloss Dagstuhl–Leibniz-Zentrum für 

Informatik. 

[5] A. Kartzow. First-order model checking on generalisations of pushdown graphs. PhD thesis, 2011. 

Doctoral dissertation, TU Darmstadt. 

[6] M. Otto. Model theoretic methods for fragments of FO and special classes of (finite) structures. 

In Esparza, Michaux, and Steinhorn, editors, Finite and Algorithmic Model Theory, pages 271– 

341. CUP, 2011. 

[7] M. Otto. Highly acyclic groups, hypergraph covers and the guarded fragment. Journal of the 

ACM, 59, 2012. 

[8] M. Otto. Expressive completeness through logically tractable models. Annals of Pure and 

Applied Logic, 2013. to appear. 

Project: Construction and Analysis in Hypergraphs of Controlled Acyclicity 

This is a new DFG project, approved in 2012, which is based on results and new directions 

provided by the successful completion (in 2011) of its forerunner “Model Constructions 

and Model-Theoretic Games in Special Classes of Structures”, see in particular [2, 1, 4]. 

Acyclicity conditions play an important role as tractability criteria in various settings of 

logic in computer science and of algorithmic model theory. Often, ideal forms of acyclicity 

54 1 Research

are available through a process of unfolding (e.g., of transition systems or game graphs 

into trees). Fully acyclic unfoldings are, however, typically unavailable in settings where 

only finite structures are admissible. For such applications, especially in the realm of finite 

model theory, the focus must therefore be on 

• suitable relaxations of full acyclicity that can be realised in finitary coverings (partial 

unfoldings), and 

• methods that make available in these relaxed scenarios the good algorithmic and 

model-theoretic properties that are familiar from fully acyclic unfoldings. 

The new project puts the development of constructions and methods at the center with 

a view to a more systematic understanding and to extending the reach of corresponding 

model-theoretic techniques to further application domains. 

At the level of basic research the project is geared to draw on logical and model-theoretic 

methods as well as on new connections with techniques from discrete mathematics (e.g., 

permutation groups, the combinatorics of graphs and hypergraphs, discrete geometry, 

combinatorial and algebraic methods). First major results have been reported in [3]. 

Support: DFG 

Contact: M. Otto 

References 

[1] V. Barany, G. Gottlob, and M. Otto. Querying the guarded fragment. Preprint of journal version 

of LICS’10 paper, available online, 2012. 

[2] M. Otto. Highly acyclic groups, hypergraph covers and the guarded fragment. Journal of the 

ACM, 59, 2012. 

[3] M. Otto. On groupoids and hypergraphs. Technical report, 37 pages, available online 

arXiv:1211.5656, 2012. 

[4] M. Otto. Expressive completeness through logically tractable models. Annals of Pure and 

Applied Logic, 2013. to appear. 

Project: Classical Realizability 

In the last decade J.-L. Krivine introduced his realizability interpretation for various classical 

systems including Zermelo Fraenkel set theory [1]. Whereas most of the models so far 

were based on term models for λ-calculus with control I have recently studied a domaintheoretic 

model obtained by solving the domain equation D ∼ = Σ Dω in the category of 

coherence spaces. In the ensuing classical realizability model the type ∇(2) is infinite. I 

am trying to show that it is not Dedekind infinite because this would entail that the Axiom 

of Dependent Choice fails in this model which is a difficult open problem in the area. 

Partner: A. Miquel (ENS Lyon) 

Contact: T. Streicher 

References 

[1] J.-L. Krivine. Realizability in classical logic. Panoramas et synthèses, 27, 2009. 

Project: Homotopy Type Theory inside Realizability Models 


The groupoid model introduced in [1] was the first model validating V. Voevodsky’s Univalence 

Axiom. In my Habilitation Thesis from 1993 I constructed realizability models 

faithfully reflecting most of the intensionality phenomena of Intensional Type Theory 

(ITT). My aim is now to consider groupoid models inside realizability models in order 

to combine the advantages of both models. 

Contact: T. Streicher 

References 

[1] M. Hofmann and T. Streicher. The groupoid interpretation of type theory. In Twenty-five years 

of constructive type theory, pages 83–111. Oxford University Press, 1998. 

Project: Problems Complete for the Blum-Shub-Smale Model 

The Blum-Shub-Smale (BSS) Model is a generalization of the classical Turing machine 

from bits to rings and other structures. It extends the classical theory of computing and 

complexity and translates open questions such as P-versus-NP-versus-EXP to settings where 

the algebraic structure of the (usually continuous) underlying space both requires and 

allows for new proof methods. In particular, the class of decision problems NP-complete 

over the reals and the complex numbers is a promising field of research with currently 

only roughly 5 examples known complete for it – compared to 500 in the discrete case. 

We identify and establish new natural problems complete for BSS complexity classes. 

Partner: C. Herrmann, TU Darmstadt; P. Scheiblechner, Hochschule Luzern 

Contact: M. Ziegler, C. Herrmann 

References 

[1] T. Gärtner and M. Ziegler. Real analytic machines and degrees. Logical Methods in Computer 

Science, 7:1–20, 2011. 

[2] C. Herrmann and M. Ziegler. Computational complexity of quantum satisfiability. In Proceedings 

of the 26th IEEE Symposium on Logic in Computer Science (LiCS), pages 175–184. IEEE 

Computer Society, 2011. 

[3] J. Sokoli. On the complexity of satisfiability over vector product terms. Master’s thesis, TU 

Darmstadt, Feb 2013. 

Project: Computability and Complexity in Numerics 

Recursive Analysis, as initiated by Alan Turing in his 1937 publication, combines the theory 

of (discrete) computation with numerical analysis in the sense of rational approximation to 

real numbers with arbitrarily prescribable absolute error. We delineate the border between 

computability and incomputability, and explore the inner structure of the former in both 

sound logical frameworks of descriptive and of computational complexity theory. That 

is, we classify practical problems and standard numerical tasks over the reals in terms of 

quantitative and qualtitative hierarchies such as Borel’s, fragments of second order logic, 

and computational complexity P ⊆ NP ⊆ #P ⊆ CH ⊆ PSPACE ⊆ EXP. Upper bounds here 

refer to algorithms in the strict sense of formally proven correct on a fully specified set 

of inputs with guaranteed worst-case running time; uniform lower bounds are derived by 

adversary arguments adapted from Information-Based Complexity (IBC). 

56 1 Research

Partner: K. Ambos-Spies, Universität Heidelberg; U. Brandt, TU Darmstadt; A. Karamura, 

University of Tokyo; U. Kohlenbach, TU Darmstadt; N. Müller, Universität Trier; M. Otto, 

TU Darmstadt; A. Pauly, Cambridge 

Support: EU IRSES 294962; Royal Society Grant IE111233 

Contact: M. Ziegler, C. Rösnick 

References 

[1] A. Kawamura, N. Müller, C. Rösnick, and M. Ziegler. Computational complexity in numerics. 

Preprint 1211.4974, arXiv, 2012. 

[2] A. Kawamura, H. Ota, C. Rösnick, and M. Ziegler. Computational complexity of smooth differential 

equations. In Proc. 37th Int. Symp. Mathematical Foundations of Computer Science 

(MFCS), volume 7464 of LNCS, pages 578–589. Springer, 2012. 

[3] A. Pauly and M. Ziegler. Relative computability and uniform continuity of relations. Preprint 

1105.3050, arXiv, 2011. 

[4] M. Ziegler. Real computation with least discrete advice: A complexity theory of nonuniform 

computability with applications to effective linear algebra. Annals of Pure and Applied Logic, 

163:1108–1139, 2012. 

1.2.6 Numerical Analysis and Scientific Computing 

The particular strength of the Numerical Analysis and Scientific Computing group is in the 

development of novel, efficient, and accurate numerical methods that are capable of tackling 

complex problems of practical interest. Our broad long-term goal is to provide good 

software for the solution of differential equations and optimization problems - one of the 

main modelling tools in science and engineering. We are currently engaged in the following 

specific application areas: computational medicine and meteorology, simulation and 

optimal control of gas and water networks, inverse problems, radiative transport, optical 

tomography, modelling and simulation of ion channels and nanopores, and computational 

biology. 

Project: Adaptive Multilevel Methods for PDAE-Constrained Optimal Control Problems 

With Application to Radiative Heat Transfer 

The main goal of this project is to develop a fully adaptive optimization environment, suitable 

to solve complex optimal control problems of practical interest, which are restricted 

by partial differential algebraic equations (PDAEs) and pointwise constraints on control 

and state. The environment relies on continuous adjoint calculus, coupling a fully spacetime 

adaptive PDAE solver (e.g. Kardos [4]), highly efficient optimization techniques (e.g. 

a generalized SQP method [3]), and a multilevel strategy which tailors the grid refinement 

to the optimization progress. Controlling the inconsistencies caused by inexact reduction, 

the multilevel strategy ensures global convergence of the finite dimensional control iterates 

to a stationary point of the infinite dimensional problem. 

Within this project, the environment is used to solve an optimal boundary control problem 

arising in glass manufacturing during the cooling process. The physical behavior of the 

cooling process is modeled by radiative heat transfer and simplified by spherical harmonics 

resulting in systems of partial differential algebraic equations. The performance of the 

environment and the results of the optimization are studied at basis of several models of 

different complexity in two and three spatial dimensions [2, 1]. 


Numerical experiments show that, together with the multilevel strategy, the coupling of 

continuous adjoint calculus with full space-time adaptivity has the great potential to solve 

complex optimal control problems of practical interest. 

Partner: S. Bott, S. Ulbrich, C. Ziems 

Support: German Research Association (DFG), priority program 1253 

Contact: D. Clever, J. Lang, D. Schröder 

References 

[1] D. Clever. Adaptive Multilevel Methods for PDAE-Constrained Optimal Control Problems. PhD 

thesis, TU Darmstadt, 2013. Verlag Dr. Hut, ISBN 978-3-8439-0878-8. 

[2] D. Clever and J. Lang. Optimal control of radiative heat transfer in glass cooling with restrictions 

on the temperature gradient. Optimal Control Applications and Methods, 33(2):157–175, 

2012. 

[3] D. Clever, J. Lang, S. Ulbrich, and J. C. Ziems. Generalized multilevel SQP-methods for PDAEconstrained 

optimization based on space-time adaptive PDAE solvers. Constrained Optimization 

and Optimal Control for Partial Differential Equations, 160:37–60, 2012. 

[4] B. Erdmann, J. Lang, and R. Roitzsch. KARDOS-User’s Guide. Manual, Konrad-Zuse-Zentrum 

Berlin, 2002. 

Project: Adjoint-based Control of Model and Discretization Errors for Gas and Water 

Supply Networks 

The flow of gas through pipelines is of great interest in the engineering community. There 

are many challenges of running a gas transmission network. Various contracts have to be 

fulfilled, e.g. gas fed in by multiple suppliers has to be routed through the network while 

consumers’ demands have to be met. The aim of operating a gas transmission network 

is to minimize the running costs. Those costs are mainly the running costs of compressor 

stations and contractual penalties. This leads to an optimal control problem on a network. 

Similar optimal control problems also occur for example in water supply networks. 

While monitoring systems are already quite advanced, efficient simulation and optimization 

tools are only available to some extend. Of course, before considering optimization 

tasks, reliable simulation algorithms are essential. Since the application of coarse discretizations 

or simplified models is often adequate in many parts of the considered networks 

to resolve the dynamics in the daily operation of gas and water supply networks, 

information about the quality of the computed solutions is very important. 

Within this project, we develop an algorithm to adaptively control model and discretization 

errors in simulations for gas and water supply networks with respect to a given quantity 

of interest using adjoint techniques. 

Contact: P. Domschke, J. Lang 

References 

[1] P. Domschke, O. Kolb, and J. Lang. Adjoint-based control of model and discretization errors 

for gas flow in networks. International Journal of Mathematical Modelling and Numerical 

Optimisation, 2(2):175–193, 2011. 

[2] P. Domschke, O. Kolb, and J. Lang. Adjoint-based error control for the simulation of gas and 

water supply networks. In D. Aubry, P. Diez, B. Tie, and N. Pares, editors, Adaptive Modeling 

and Simulation 2011, pages 183–194. CIMNE, Barcelona, Spain, 2011. 

58 1 Research

[3] P. Domschke, O. Kolb, and J. Lang. Computational Optimization and Applications in Engineering 

and Industry, volume 359 of Studies in Computational Intelligence, chapter Adjoint-Based 

Control of Model and Discretization Errors for Gas and Water Supply Networks, pages 1–18. 

Springer, 2011. 

Project: Domain-decomposition preconditioners for the Finite-Cell Method 

The finite cell method is a framework that allows to utilize high order finite element methods 

on complicated geometries. The geometry and boundary conditions are taken into 

account by appropriate integration. The resulting linear systems are highly ill-conditioned 

and typically solved via direct solvers. In order to deal with large scal problems arising 

from applications in structural mechanics, we consider iterative solvers with additive 

Schwarz preconditioners based on overlapping domain decompositions. Mesh independent 

convergence can be proven under mild assumptions on the underlying geometry. 

Partner: A. Düster, M. Joulaian; TU Hamburg-Harburg 

Contact: H. Egger 

Project: Numerical Methods for Optical Tomography 

Optical Tomography is a non-invasive medical imaging technique that allows to probe biological 

tissue via near infrared light. For the simulation of light propagation, we consider 

high order Galerkin approximations and approriate preconditioned iterative solvers. The 

inverse problem is tackled by adequate regularization methods that allow to take into account 

a-priori information about the optical parameters in the object under investigation. 

Partner: S. Arridge, UCL London 

Contact: H. Egger, M. Schlottbom 

References 

[1] S. Arridge, H. Egger, and M. Schlottbom. Preconditioning of complex symmetric linear systems 

with applications in optical tomography. Preprint, TU Darmstadt, 2012. 

[2] H. Egger and M. Schlottbom. A mixed variational framework for the radiative transfer equation. 

22:1150014, 2012. 

[3] H. Egger and M. Schlottbom. On unique solvability for stationary radiative transfer with 

vanishing absorption. Preprint, TU Darmstadt, 2012. 

Project: Discontinuous Galerkin Methods for Incompressible Flow 

For the approximation of incompressible flow problems, we consider discontinous Galerkin 

approximations of high order on unstructured meshes. Such discretizations are well-suited 

for adaptivity and a stable treatment of the convective terms by upwind mechanisms. Particular 

emphasis is put on deriving stability estimates with explicitly known dependence on 

the polynomial approximation order. These allow for a systematic a-priori and a-posteriori 

hp error analysis on locally refined and non-conforming hybrid meshes. 

Partner: C. Waluga, TU München 



References 

[1] H. Egger and C. Waluga. hp-analysis of a hybrid DG method for Stokes flow. IMA J. Numer. 

Anal., 2012. 

[2] H. Egger and C. Waluga. A hybrid mortar method for incompressible flow. IJNAM, 9:793–812, 

2012. 

[3] C. Waluga and H. Egger. An implementation of hybrid discontinuous Galerkin methods in 

DUNE. In A. Dedner, B. Flemisch, and R. Klöfkorn, editors, Advances in DUNE. Springer, 2012. 

Project: Finite Element Methods for Corner Singularities 

The regularity of solutions of elliptic partial differential equations on polygonal domains 

is limited by the maximal interior angle. Following an idea of Zenger et al, we investigate 

a modification of the finite element method in a vicinity of the singularity that allows to 

obtain optimal convergence in weighted norms. Also other important quantities like stress 

intensity factors can be computed with optimal accuracy. 

Partner: B. Wohlmuth, TU München 


References 

[1] H. Egger, U. Rüde, and B. Wohlmuth. Energy-corrected finite element methods for corner 

singularities. Preprint, TU München, 2012. 

Project: Unique Solutions for Prices in Dixit-Stiglitz and Eaton-Kortum Models of 

Trade 

We consider the existence of the key vector of endogenous variables, namely (goods or 

factor) prices, in Dixit-Stiglitz-type or Eaton-Kortum-type new trade models with arbitrarily 

many countries. Most quantitative (calibrated or estimated) models rely on such type 

of models. Provided existence and uniqueness of prices, it can be shown that the vector of 

prices can be determined numerically. But general results on existence and uniqueness are 

not available to date. 

Partner: P. Egger, ETH Zürich 


Project: Stability estimates for the Raviart-Thomas projector 

Polynomial approximation estimates play a key role in the a-priori and a-posteriori error 

analysis of finite element methods. We consider hp estimates of the Raviart-Thomas projector 

for simplicial and rectangular elements in standard an non-standard norms. Such 

estimates are required, e.g. for the error analysis of mixed formulations of elliptic problems, 

for the analysis of a-posteriori error estimators based on flux reconstruction, but also 

for the stability analysis of novel discretizations for incompressible flow problems. 

Partner: A. Chernov, Universität Bonn 


Project: Quality Assessment for Large-Eddy-Simulations 

In numerical simulations of flow problems or other engineering models governed by systems 

of partial differential equations, mesh adaptivity has become a major feature securing 

60 1 Research

the quality of the solution of a simulation. For modeling turbulent flows with Large-Eddy- 

Simulations, locally large solution variations are best resolved by a high concentration of 

mesh points while in domains with less solution activity fewer mesh points are sufficient. 

We equip a common flow solver with a Mesh-Moving-PDE, which is able to redistribute 

grid points while keeping the data structure. So called monitor functions measure the 

importance of certain domains by user defined criteria and support the Mesh-Moving-PDE 

with the needed information where grid points are mostly desired. These criteria are usually 

physically motivated like the turbulent kinetic energy. 

To compare these physically motivated monitor functions with mathematically motivated 

ones, we add adjoint-based information. For time averaged quantities of interest, we derived 

an adjoint-based a posteriori error estimator using a stationary adjoint equation. This 

new error estimator will help to improve mesh quality and also allows to focus on scalar 

quantities of interest, like for example drag and lift coefficients. Furthermore, a separation 

of the discretization and the modeling error is in the focus of our research, which will 

result in more accurate solutions for turbulent flows. 

Partner: C. Hertel (TU Dresden), M. Schümichen (TU Dresden), J. Fröhlich (TU Dresden), 

Rolls-Royce Deutschland 

Support: German Research Association (DFG) doctorate program GRK1344 “Instationäre 

Systemmodellierung von Flugtriebwerken”, Graduate School of Computational Engineering 

(CE). 

Contact: M. Frankenbach, J. Lang 

References 

[1] C. Hertel, M. Schümichen, S. Löbig, J. Fröhlich, and J. Lang. Adaptive large eddy simulation 

with moving grids. Theoretical and Computational Fluid Dynamics, pages 1–25, 2012. 

Project: Multiscale structure-functional modeling of musculoskeletal mineralized tissues 

Musculoskeletal mineralized tissues (MMTs) are natural examples of materials that show 

unique and highly variable combinations of stiffness and strength. One of the striking 

features of MMTs is that this diversity of elastic function is achieved by only one common 

building unit, that is the mineralized collagen fibril, but variable structural arrangements 

at several levels of hierarchical organization. A profound understanding of the 

structure-function relations in MMTs requires both experimental assessment of heterogeneous 

elastic and structural parameters and theoretical modeling of the elastic deformation 

behavior. Multi-scale and multi-modal assessment of MMTs will be used to probe not only 

the microarchitecture, but also anisotropic linear elastic properties from the nanoscale to 

the macroscale. By combining experimental data obtained from MMTs at various length 

scales with numerical homogenization approaches in continuum mechanics, we hypothesize 

to gain new insight into self-assembly mechanisms, construction rules and physiological 

boundary conditions of MMTs. 

Within this joint project we focus in Darmstadt on the development as well as efficient 

and reliable implementation of numerical homogenisation techniques. Together with the 

groups in Berlin and Paris we devise new mathematical models in order to aid the understanding 

of MMTs. The experimental assessment of MMTs is performed in Berlin and with 

external cooperation partners. 


Partner: Prof. Dr. K. Raum (Charité Universitätsmedizin Berlin), Prof. Dr. Q. Grimal 

(Pierre-and-Marie-Curie University (Paris VI), France) 

Support: DFG grants GE1894/3 and Ra1380/7 

Contact: S. Tiburtius, A. Gerisch 

References 

[1] M. Granke, Q. Grimal, A. Saïed, P. Laugier, F. Peyrin, A. Gerisch, and K. Raum. Contributions 

of pore volume fraction and mineralized matrix elasticity to millimeter-scale cortical bone 

elastic coefficients. In C. Hellmich, M. H. Hamza, and D. Simsik, editors, IASTED Biomedical 

Engineering, 15.-17.02.2012, Innsbruck, Austria, pages 764–133. ACTA Press, 2012. 

[2] Q. Grimal, K. Raum, A. Gerisch, and P. Laugier. A determination of the minimum sizes of 

representative volume elements for the prediction of cortical bone elastic properties. Biomech 

Model Mechanobiol, 10:925–937, 2011. 

[3] K. Raum, Q. Grimal, P. Laugier, and A. Gerisch. Multiscale structure-functional modeling of 

lamellar bone. Proceedings of Meetings on Acoustics, 9:020005, 2011. 

[4] D. Rohrbach, S. Lakshmanan, F. Peyrin, M. Langer, A. Gerisch, Q. Grimal, P. Laugier, and 

K. Raum. Spatial distribution of tissue level properties in a human femoral cortical bone. 

Journal of Biomechanics, 45:2264 – 2270, 2012. 

Project: Numerical methods for time-dependent PDE problems from mathematical 

biology 

Biological processes like the invasion of tissue by cancer cells, or the adhesion-driven 

reorganisation of tissue, or the cascade of steps in fracture healing can be modelled as 

time-dependent PDEs. For the reliable, efficient and accurate simulation of these models 

dedicated numerical schemes are required. We focus on general methods for taxisdiffusion-reaction 

systems and on particular schemes for the evaluation of the spatially 

nonlocal terms in models of cellular adhesion. In our approach we follow the method of 

lines with finite volumes in space and linearly-implicit methods in time. 

Partner: 

Belgium) 

Contact: A. Gerisch 

M. Chaplain (University of Dundee, Scotland), L. Geris (University of Liége, 

References 

[1] V. Andasari, A. Gerisch, G. Lolas, A. P. South, and M. A. J. Chaplain. Mathematical modeling of 

cancer cell invasion of tissue: biological insight from mathematical analysis and computational 

simulation. J. Math. Biol., 63:141–171, 2011. 

[2] L. Geris and A. Gerisch. Mathematical modelling of cell adhesion in tissue engineering using 

continuum models. In A. Gefen, editor, Cellular and Biomolecular Mechanics and Mechanobiology, 

volume 4 of Studies in Mechanobiology, Tissue Engineering and Biomaterials, pages 431– 

450. Springer Berlin Heidelberg, 2011. 

[3] V. Peiffer, A. Gerisch, D. Vandepitte, H. Van Oosterwyck, and L. Geris. A hybrid bioregulatory 

model of angiogenesis during bone fracture healing. Biomech Model Mechanobiol, 10:383–395, 

2011. 

Project: Autumn School for High-School Pupils in Mathematical Modelling 

40 pupils and 16 teachers and teacher students work together in 8 groups for one week. 

Each group has to solve a different problem from a different application. The problem 

62 1 Research

has to be transferred into a mathematical problem (modeling), it has to be solved and the 

solution has to be documented (report) and presented in a final talk. The pupils were 

in the last year before graduation an had been selected by a countrywide competition 

in mathematics. The aim is to further motivate these pupils for further egagement in 

mathmatics. The teacher should experience mathematics as an universal instrument for 

reasonable decisions in all parts of our live and supply them with authentic examples, 

so that they can act as multipliers and spread the knowledge about the importance of 

mathematics in a modern industrial community. 

Contact: M. Kiehl 

References 

[1] M. Kiehl. Bedeutung von Mathematik erfahrbar machen – Modellierungswochen für Schüler 

und Lehrer. To appear. 

Project: Mathematical modeling integrated in the discussion of function classes 

Mathematical modeling is a newly formulated requirement for the education in school. 

Nevertheless, there are very few hints, to tell the teacher, how they can meet these requirements. 

In this project we will develope a set of mini-projects, and prepare solutions 

and programming environments so that not much extra time is needed in class nor for 

preparation by the teacher. The projects should not only teach the basics of modelling, but 

also promote the understanding of mathematics as a universal tool and at the same time 

support a better an deeper understanding of functions and the meaning of their parameters 

and stimulate a critical handling with empirical results. 


References 

[1] M. Kiehl. Modellieren mit Funktionen im Rahmen der Curriculumsspirale. To appear. 

Project: Mathematical models of the chemical evolution of t-RNA 

Evolution as we know it today consists of an media (m-RNA) that can store information 

and preserve it over long time, because it is a very inert molecule, that does hardly react 

itself. It can also be copied (reproduction) with the chance of misstakes (mutation). Because 

m-RNA hardly reacts, a translation mechanism (t-RNA) is needed, that converts the 

information into very reactive molecules (proteins) that can help the compartment (cell), 

that also includes the information, to survive (selection) and so promote the spread of the 

according information. The question of how such a system could evolve leads to the classical 

dilemma of "which came first, the chicken or the egg?". In more detail, the question 

is, why should there be only a very special set of t-RNA, to translate special triplets of a 

m-RNA into a special sequence of amino acids, as long as there is no meaningful m-RNA 

and why should there be any m-RNA that might be meaningful, if it would be translated 

into a sequence of amino acids when using the right code, before there is a fixed set of 

t-RNA that provides with the according translation? In the project we develope models for 

this initial evolution process. 



References 

[1] M. Kiehl and F. Knapp. Fast computation of a realistic secondary structure of RNA by local 

minimization of the Zuker-free-energy inspired by models of the real folding process in vitro. 

To appear. 

Project: Discrete-Continuous Optimization of Gas and Water Supply Networks 

Today’s demands in the management of gas and water supply networks require the close 

collaboration between industry and scientists from engineering and applied mathematics. 

The aim of this project is to tackle recent problems in gas and water management with 

state-of-the-art numerical methods and to develop new adapted algorithms. 

The given tasks include the solution of hyperbolic partial differential algebraic equations 

on networks as well as discrete-continuous optimal control problems. The numerical methods 

for the solution of the underlying partial differential algebraic equations and continuous 

optimization problems are implemented in our software package ANACONDA. Discrete 

decisions can be (partially) given a-priori or determined via a penalization approach. 

Partner: K. Klamroth (Universität Wuppertal), G. Leugering (Universität Erlangen-Nürnberg), 

A. Martin (Universität Erlangen-Nürnberg), M. Oberlack (TU Darmstadt), M. Ostrowski 

(TU Darmstadt), Hessenwasser GmbH & Co. KG, Siemens AG 

Support: Federal Ministry of Education and Research (BMBF) 

Contact: O. Kolb, J. Lang 

References 

[1] A. Martin, K. Klamroth, J. Lang, G. Leugering, A. Morsi, M. Oberlack, M. Ostrowski, and 

R. Rosen, editors. Mathematical Optimization of Water Networks, volume 162 of International 

Series of Numerical Mathematics. Birkhäuser Basel, 2012. 

Project: Higher-order multirate methods for transient multi-physics problems 

Many physical phenomena can be described by a set of coupled ordinary differential equations 

(ODEs) in time. A normal singlerate time integrator solves all ODEs with the same 

time step sizes, which are determined by taking all the components into account. This 

might produce very small time steps that also have to be applied to components with 

much less activity. The idea of multirate methods is to use different time step sizes for 

different components, depending on the individual activity of the solution, which means 

there will be a differentiation between active and latent components. The coupling can be 

managed by interpolation/extrapolation. Multirate methods using Rosenbrock-methods 

are well known in literature, but have the problem that due to the order reduction phenomenon 

of one step methods in the case of stiff problems, higher-order methods are 

difficult to obtain. To gain higher-order multirate methods the idea of this project is the 

development of multirate methods using two-step Peer-methods. Since for Peer-methods 

no order reduction was observed in the singlerate case, a similar behaviour in the multirate 

case is expected. Also stability investigations of multirate Rosenbrock- and multirate 

Peer-methods are part of this project. 

Support: Graduate School of Computational Engineering, TU Darmstadt (DFG) 

Contact: K. Kuhn, J. Lang 

64 1 Research

References 

[1] A. Gerisch, J. Lang, H. Podhaisky, and R. Weiner. High-order linearly implicit two-step peerfinite 

element methods for time-dependent PDEs. Appl. Numer. Math., 59:624–638, 2009. 

[2] K. Kuhn and J. Lang. Comparison of the asymptotic stability for multirate Rosenbrock methods. 

submitted 2012 to Journal of Computational and Applied Mathematics. 

Project: KARDOS - Software Package for Solving Nonlinear Evolution Problems 

The code KARDOS was originally developed at ZIB Berlin to solve systems of non-linear 

mixed parabolic-elliptic partial differential equations by means of adaptive space and time 

discretizations. Linearly implicit one-step methods of Rosenbrock type are coupled with 

standard finite elements of various orders. KARDOS uses unstructured grids in one, two, 

and three space dimensions. 

A large proportion of the current work is carried out in close collaboration with ZIB Berlin. 

Extensions that we are working on include: incorporation of computational fluid dynamics 

(CFD), electromagnetics, optimisation, uncertainty quantification and moving finite 

elements. 

Although this software is mainly used for scientific and educational purposes, we are interested 

in cooperations with external organisations (industry, goverment research laboratories, 

etc) or other university departments (particularly engineering departments). 

Partner: P. Deuflhard, B. Erdmann, R. Roitzsch (ZIB) 

Contact: J. Lang 

Project: W-methods for Optimal Control 

We have developed W-methods of linearly implicit structure for the numerical approximation 

of optimal control problems within the first-discretize-then-optimize approach. 

Following the concept of transformed adjoint equations, we analyzed the approximation 

order and derived novel order that have to be satisfied by the coefficients of the W-methods 

so that the Taylor expansions of the continuous and discretize state and costate solutions 

match to order three. The W-methods are remarkably robust with respect to varying approximations 

of the Jacobian matrix. This allows for partitioning to treat stiff and nonstiff 

components more efficiently in the linear algebra. Most notable for the W-methods is their 

structural advantage when they are applied within a gradient approach to solve state and 

costate equations separately. Only a sequence of linear equations with one and the same 

system matrix has to be solved to compute the stages values. We expect that this property 

will become even more important for the numerical solution of large scale PDE-constrained 

optimal control problems. 

Partner: J. Verwer (CWI, Amsterdam) 

Support: German Research Association (DFG) 


References 

[1] J. Lang and J. Verwer. W-methods for optimal control. Preprint, TU Darmstadt, 2011. 

Project: Stabilized Finite Elements for Transient Flow Problems 


We proposed a way to circumvent artificial pressure oscillations for transient flow problems 

discretized with stabilized finite elements which may arise due to mesh changes 

for the projection. Instead of using the velocities of the previous time step in the right 

hand side of the new time level, a divergence-free projected velocity should be used. 

This projected velocity is the solution of a corresponding discrete Darcy problem with 

its own stabilization. It turns out that additional terms should be considered in the discrete 

equations in order to get a consistent scheme. We analyzed the corresponding Stokes 

system and proved bounded discrete pressure for arbitrary small time steps. The type of 

stabilization is quite general. 

Partner: M. Braack, N. Taschenberger (Universität Kiel) 


References 

[1] M. Braack, J. Lang, and N. Taschenberger. Stabilized finite elements for transient flow problems 

on varying spatial meshes. Computer Methods in Applied Mechanics and Engineering, 

253:106–116, 2012. 

Project: Forward and Inverse Problems in Non-Linear Drift-Diffusion 

Non-linear drift diffusion models are a specific class of partial differential equations. They 

appear in a large number of applications ranging from the dynamics of single molecules 

in an ion channel or the movement of cells up to the collective behaviour of animals 

or even humans. In their most general form these equations raise a large number of 

mathematical problems, such as whether there exists a solution (direct problem) or the 

determination of unknown parameters in the equation using measurements of a given 

solution (inverse problem). Due to the diversity of questions this project focuses on some 

numerical and analytical aspects as well as inverse problems related to these models with 

a special emphasis on their connection. We examine the inverse problem both analytically 

and numerically, which includes the development of robust numerical discretisations for 

the direct problem. Furthermore, we will consider an alternative geometric interpretation, 

yielding to the concept of gradient flows. This reformulation gives additional information 

about the solutions, which will help us to evaluate the numerical algorithms, cf. [1]. As 

a final step we shall apply these results to real data in the context of ion channels and 

nanopores. 

Partner: Deutsche Forschungsgemeinschaft (DFG), The Daimler and Benz Foundation 

(PostDoc stipend) 

Contact: J.-F. Pietschmann 

References 

[1] M. Burger, J.-F. Pietschmann, and M.-T. Wolfram. Identification of nonlinearities in transportdiffusion 

models for size exclusion. UCLA CAM report, 11-80, 2011. 

Project: New mathematical methods and models for an improved understanding of 

synthetic nanopores 

Synthetic nanopores are an important element in nanotechnology with applications in 

the medical and pharmaceutical industry. However, existing linear models, such as the 

66 1 Research

Poisson-Nernst-Planck equations, can only explain part of the experimental observations. 

Thus, in this project we will introduce new, nonlinear models including finite size effects. 

Continuing previous work, cf. [1, 2], we shall perform extensive numerical simulations and 

compare the results with experimental data from our collaborators, the Siwy research lab 

at the University of California, Irvine. In a second step, methods from the scope of inverse 

problem will be applied to reconstruct properties of the pore that cannot be observed 

experimentally. A prominent example is the surface charge inside the pore. 

Partner: German Academic Exchange Service (DAAD), PPP-Project 

Contact: J.-F. Pietschmann 

References 

[1] M. Burger, M. Di Francesco, J.-F. Pietschmann, and B. Schlake. Nonlinear cross-diffusion with 

size exclusion. SIAM Journal on Mathematical Analysis, 42(6):2842–2871, 2010. 

[2] M. Burger, P. A. Markowich, and J.-F. Pietschmann. Continuous limit of a crowd motion and 

herding model: analysis and numerical simulations. Kinet. Relat. Models, 4(4):1025–1047, 

2011. 

Project: Global Error Estimation for Finite Element Methods for Parabolic Differential 

Equations 

Modern solvers for partial differential equations of parabolic type gain in efficiency by 

adaptivly optimizing their grids based on local error control. However, the accuracy imposed 

by the user applies to the global error of the approximation. In this project we focus 

on efficient and reliable estimation and control of the global errors in finite element methods. 

We estimate the global errors by solving linearized error transport equations. For global 

error control we use the property of tolerance proportionality. Due to the stiffness of appearing 

subproblems in the method of lines our strategies are based on the concepts of 

B-stability and B-convergence. 

Partner: K. Debrabant (University of Southern Denmark, Odense) 

Contact: A. Rath, J. Lang 

References 

[1] K. Debrabant and J. Lang. On global error estimation and control of finite difference solutions 

for parabolic equations. ArXiv e-prints, 2009. 

Project: Unsteady Adaptive Stochastic Collocation Methods on Sparse Grids 

This project incorporates uncertain quantities arising in nature or processes into numerical 

simulations. By doing so, computational results become more realistic and meaningful. 

Underlying mathematical models often consist of Partial Differential Equations (PDEs) 

with input data, that specify the describing system. If these input parameters are not 

explicitly known or subject to natural fluctuations, we arrive at PDEs with random parameters. 

We focus on random parameters that can be described by correlated random fields. 

A parametrization into finitely many random variables yields problems with possibly high 

dimensional parameter space, that has to be discretized beside the deterministic dimensions. 

To this end, we use adaptive, anisotropic stochastic collocation on sparse grids. 


Similar to a Monte Carlo simulation, this approach decouples and hence parallelizes the 

stochastic problem into a set of deterministic problems. By means of fluid flow examples, 

we show impressively that the method is able to resolve a stochastic parameter space of up 

to 20−50 dimensions. Moreover, we extend the adjoint approach to stochastic collocation 

methods in order to derive error estimates for stochastic quantities of interest. 

Contact: B. Schieche, J. Lang. 

Support: German Research Foundation (DFG): Graduate School of Computational Engineering, 

TU Darmstadt. 

References 

[1] B. Schieche. Adaptive stochastic collocation on sparse grids. In H.-D. Alber, N. Kraynyukova, 

and C. Tropea, editors, Proceedings in Applied Mathematics and Mechanics, pages 653–654. 

WILEY, Weinheim, 2012. 

[2] B. Schieche and J. Lang. Adjoint error estimation for stochastic collocation methods. Preprint, 


[3] B. Schieche and J. Lang. Uncertainty quantification for thermo-convective poiseuille flow using 

stochastic collocation. Int. J. Computational Science and Engineering, to appear. 

Project: Stability and consistency of discrete adjoint peer methods 

In optimal control of differential equations there are essentially two approaches to generate 

an discrete optimality system. The first-optimize-then-discretize approach means that 

the continuous optimality system is discretized, wheras the first-discretize-then-optimize 

approach solves the optimality system generated from the discretized optimal control problem. 

It is advantageous in optimal control, if the two approaches are interchangeable. 

Therefore it is important that the discrete adjoint of a time discretization is consistent with 

the continuous adjoint equation. 

Implicit peer methods are sucessfully applied in the numerical solution of stiff ordinary 

differential equations and time time-dependent partial differential equations. We derived 

additional consistency order conditions for constant stepsizes, such that the discrete adjoint 

method is consistent with the continuous adjoint. Furthermore, we analyzed the 

stability of the discrete adjoint method. Stable methods of order two and three with a consistent 

discrete adjoint were constructed and the theoretical order was tested on a selection 

of ODE test problems. It was shown that in terms of consistency order of the method and 

its discrete adjoint implicit peer methods can not be better than backward differentiation 

formulas. 

Contact: D. Schröder, J. Lang 

References 

[1] D. Schröder, J. Lang, and R. Weiner. Stability and Consistency of Discrete Adjoint Implicit Peer 

Methods. submitted to Journal of Computational and Applied Mathematics, 2012. 

Project: Reduced-order modeling of incompressible flow problems 

Reduced-order models promise speed-up of orders of magnitude for applications where 

flow problems are solved multiple times for different parameters, under the condition that 

the solution can be represented by a linear combination of a small number of global basis 

functions. In this project, models based on the proper orthogonal decomposition (POD) 

68 1 Research

and the centroidal Voronoi tessellation (CVT) are explored as means of order reduction. 

The number of degrees of freedom necessary to compute flow fields accurately is increasing 

quickly with a rising Reynolds number, which makes direct numerical simulations of 

turbulent flows expensive in terms of computational cost. The large-eddy simulation (LES) 

tackles this problem by resolving only the larger scales of the flow and modeling the effect 

of the sub-grid scales, e.g. by introducing an artificial eddy viscosity. It is investigated how 

reduced-order models for the coherent structures of the flow field can be improved using 

LES modeling techniques. 

Flow problems with uncertain boundary conditions are considered as another field of application 

for reduced-order models. The stochastic collocation on sparse grids is a standard 

method to solve such problems. The method relies on the numerical solutions of 

deterministic equations for a possibly large set of collocation points contained in a multidimensional 

parameter domain. The goal of the project is to save computational time by 

replacing full-order finite element computations with reduced-order computations at the 

collocation points. 

Support: DFG Collaborative Research Centre (SFB) 568 “Flow and Combustion in Future 

Gas Turbine Combustion Chambers”, 2008-2011. DFG Cluster of Excellence (EXC) 259: 

“Center of Smart Interfaces”, 2012. DFG Schwerpunktprogramm (SPP) 1276: “MetStröm: 

Skalenübergreifende Modellierung in der Strömungsmechanik und Meteorologie”, 2012 

Contact: S. Ullmann, J. Lang 

References 

[1] S. Ullmann and J. Lang. A POD-Galerkin reduced model with updated coefficients for 

Smagorinsky LES. In J. C. F. Pereira, A. Sequeira, and J. M. C. Pereira, editors, Proceedings 

of the V European Conference on Computational Fluid Dynamics ECCOMAS CFD 2010, Lisbon, 

Portugal, June 2010. 

[2] S. Ullmann and J. Lang. POD and CVT Galerkin reduced-order modeling of the flow around 

a cylinder. In H.-D. Alber, N. Kraynyukova, and C. Tropea, editors, Proceedings in Applied 

Mathematics and Mechanics, pages 697–698. Wiley-VCH, 2012. 

[3] S. Ullmann and J. Lang. POD-Galerkin modeling and sparse-grid collocation for a natural 

convection problem with stochastic boundary conditions. In Sparse Grids and Applications. 


[4] S. Ullmann, S. Löbig, and J. Lang. Adaptive large eddy simulation and reduced-order modeling. 

In J. Janicka, A. Sadiki, M. Schäfer, and C. Heeger, editors, Flow and Combustion in 

Advanced Gas Turbine Combustors, pages 349–378. Springer, 2013. 

1.2.7 Optimization 

The research group Optimization consists of the groups Algorithmic Discrete Mathematics, 

Discrete Optimization, and Nonlinear Optimization, which cooperate closely. 

Mathematical Optimization considers the development, analysis, and application of efficient 

numerical methods for minimizing (or maximizing) a function under constraints. 

While Discrete Optimization studies mainly linear or convex problems involving integer 

variables, Nonlinear Optimization focuses on nonlinear problems with continuous variables. 

The research group covers both research topics in a comprehensive way and cooperates 

in particular in the challenging field of Mixed Integer Nonlinear Programming, 

which considers nonlinear optimization with mixed discrete-continuous variables. 


Algorithmic Discrete Mathematics combines aspects of pure and applied mathematics. 

The group focuses on geometric combinatorics with links to graph algorithms, linear and 

integer programming, toric and tropical algebraic geometry and related areas. 

We develop mathematical software for research in mathematics and beyond. 

Discrete Optimization has become an important component in modern applied mathematics. 

Many problems from business and industry can be modeled as discrete optimization 

problems. The development of solution methods for these problems is the main 

focus of the group Discrete Optimization. This includes the development of mathematical 

models of real-world problems, the theoretical analysis (using methods mainly from 

graph theory, polyhedral combinatorics, and integer programming), and the design and 

implementation of fast algorithms as well as their evaluation in practice. 

Experiences of the group are, for instance, in the following applied areas: public mass 

transportation (line planning, disruption management), energy optimization (gas transport), 

or optimization in mechanical engineering (truss topology optimization), see the 

projects for details. 

Nonlinear Optimization is nowadays an important technology in applied mathematics, 

science, and engineering. Nonlinear optimization problems appear in many applications, 

e.g., shape optimization in engineering, robust portfolio optimization in finance, parameter 

identification, optimal control, etc. Nonlinear Optimization has emerged as a key 

technology in modern scientific and industrial applications. Challenging are in particular 

optimization problems with partial differential equations as constraints (PDE-constraints), 

for example, optimization problems for flows, transport problems, diffusion processes, 

wave propagation, or mechanical structures. An efficient solution of such problems requires 

highly developed optimization methods, which use modern adaptive multilevel 

techniques of scientific computing. 

The research group Nonlinear Optimization considers the development, theory, implementation, 

and application of efficient algorithms for nonlinear optimization. Particular 

research topics are PDE-constrained optimization, large scale optimization, adaptive multilevel 

techniques, preconditioning, global optimization, and relaxation of discrete problems. 

The research group Optimization is engaged among others in the Excellence Cluster EXC 

259 Center of Smart Interfaces, the Graduate School (Excellence Initiative) GSC 233 Computational 

Engineering: Beyond Traditional Sciences, the Collaborative Research Center 

(SFB) 568 Flow and Combustion in Future Gas Turbine Combustion Chambers, the Collaborative 

Research Center (SFB) 666 Integral Sheet Metal Design with Higher Order Bifurcations 

- Development, Production, Evaluation, the Collaborative Research Center (SFB) 805 Control 

of Uncertainties in Load Carrying Systems of Mechanical Engineering, the LOEWE-Center 

AdRIA: Adaptronik: Research, Innovation, Application, the International Research Training 

Group IGK 1529 Mathematical Fluid Dynamics, and the German Research Foundation 

(DFG) Priority Programme SPP 1253 Optimization with Partial Differential Equations. In 

addition, the group has various industry partners, including cooperations with Open Grid 

Europe and Schenck. 

Project: Adaptive Multilevel SQP-Methods for PDAE-Constrained Optimization with 

Restrictions on Control and State 

70 1 Research

The project is part of the DFG-Priority Program SPP 1253 “Optimization with Partial Differential 

Equations”. 

We extend the adaptive multilevel SQP-method for control-constrained optimal control 

problems of Ziems and Ulbrich, see [3] or [5], to state-constrained optimal control problems 

governed by PDAEs. To this end, we combine the Moreau Yosida regularization with 

the adaptive SQP method. The refinement conditions and the penalty parameter update 

are modified specifically. We ensure that the regularized subproblems satisfy the assumptions 

of the adaptive SQP method and that the combined algorithm is well-posed. Based 

on the convergence theory for the Moreau Yosida regularization of Meyer and Yousept [4] 

and the SQP method of Ziems and Ulbrich [6] or [5], we deliver a new first order necessary 

optimality result for the output of the combined algorithm [1]. 

Additionally we include a reduced-order model based on POD combined with DEIM in the 

adaptive SQP method. This reduces the computational effort significantly. 

The algorithm is implemented for an application in glass manufacturing by Clever, Lang 

and Schröder, see [2]. 

Partner: D. Clever, J. Lang and D. Schröder, TU Darmstadt 

Support: Graduate School GSC 233: “Computational Engineering” 

Contact: S. Bott, S. Ulbrich, J. C. Ziems 

References 

[1] S. Bott. Adaptive Multilevel SQP Method for State Constrained Optimization with PDEs. 

Diplom thesis, TU Darmstadt, 2012. 

[2] D. Clever. Adaptive Multilevel Methods for PDAE-Constrained Optimal Control Problems. Verlag 

Dr. Hut, München, 2013. Dissertation, TU Darmstadt. 

[3] D. Clever, J. Lang, S. Ulbrich, and J. C. Ziems. Generalized Multilevel SQP-methods for PDAEconstrained 

Optimization Based on Space-Time Adaptive PDAE Solvers. In Constrained Optimization 

and Optimal Control for Partial Differential Equations, volume 160, pages 37–60. 

Birkhäuser, Basel, 2012. 

[4] C. Meyer and I. Yousept. State-constrained optimal control of semilinear elliptic equations 

with nonlocal radiation interface conditions. SIAM J. Control Optim., 48(2):734–755, 2009. 

[5] J. C. Ziems. Adaptive Multilevel SQP-methods for PDE-constrained Optimization. Verlag Dr. Hut, 

München, 2010. Dissertation, TU Darmstadt. 

[6] J. C. Ziems and S. Ulbrich. Adaptive Multilevel Generalized SQP-Methods for PDE-constrained 

Optimization. Preprint, TU Darmstadt, 2011. 

Project: Adaptive Multigrid Methods for Fluid-Structure Interaction Optimization 

Strong fluid structure coupling is part of many technical systems. The aim of this project 

is to develop an efficient adaptive multilevel algorithm to solve an optimization problem 

governed by Fluid-Structure Interaction (FSI). 

This algorithm should combine modern techniques of PDE-constrained optimization, adaptivity 

and Fluid-Structure Interaction simulation. Since for elliptic as well as for parabolic 

partial differential equations an adjoint based Trust-Region SQP method has shown good 

results, we want to adapt this method. Thus we aim for an adjoint based algorithm that 

is able to refine the given grids (both the spatial and the temporal) adaptively during the 

optimization process. 

The Fluid-Structure Interaction problem we consider as the constraint for the optimization 


problem, is in the weak form of the FSI problem considered in an Arbitrary-Lagrangian- 

Eulerian (ALE) framework. The coupling of the two parts of the partial differential equation 

is performed via strong coupling. 

Accordingly, the adjoint equation is considered in an ALE framework and in a strongly 

coupled way. 

Partner: Graduate School GSC 233: “Computational Engineering” 

Support: German Research Foundation (DFG) 

Contact: S. Essert, M. Schäfer, S. Ulbrich 

Project: Optimal Flow Control based on Reduced Models 

Tollmien-Schlichting waves are responsible for the laminar-turbulent transition in a flat 

plate boundary layer. By damping these waves, a significant reduction of drag can be 

achieved. Motivated by an experiment conducted in the windtunnel at the institute SLA, 

the objective is to dampen Tollmien-Schlichting waves using a body force which is induced 

by a plasma actuator. These actuators induce a body force which leads to a fluid acceleration, 

so the velocity profile is changed next to the surface. By optimal control of the plasma 

actuator parameters it is possible to reduce or even cancel the Tollmien-Schlichting waves 

and delay the turbulence transition. 

We use a Model Predictive Control (MPC) approach for the cancellation of Tollmien- 

Schlichting waves in the boundary layer of a flat plate. The model that predicts the 

next flow field in a time horizon, has to fulfill the Navier-Stokes equations. Instead of 

solving a high-dimensional system, a low-order model description is used to perform the 

optimization. The reduced-order model is obtained with a Galerkin projection and an 

appropriate basis. We use Proper Orthogonal Decomposition (POD) in which the basis 

function are generated from numerical solutions. The optimization of the control parameters 

is performed within the reduced system. The efficiency of the reduced-order controller 

is demonstrated for the damping of Tollmien-Schlichting waves by plasma actuators. 

Partner: Institute of Fluid Mechanics and Aerodynamics (SLA), Institute of Numerical 

Methods in Mechanical Engineering (FNB) 

Support: Graduate School GSC 233: “Computational Engineering” 

Contact: J. Ghiglieri, S. Ulbrich 

Project: Mathematical methods and models for the optimal combination of active 

and passive components in trusses 

This project is part of the Collaborative Research Centre (SFB) 805 Control of uncertainty of 

load carrying systems in mechanical engineering. The project deals with the optimal design 

of mechanical trusses under uncertainty. Trusses are important in many applications (undercarriages 

of airplanes, bicycles, electrical towers, etc.) and are often overdimensioned 

to withstand given forces under several uncertainties in loadings, material and production 

processes. Active parts (e.g., piezo-elements) can react on these uncertain effects and reduce 

the dimension of trusses. The Collaborative Research Centre (SFB) 805 introduces 

new technologies to handle uncertainty in load carrying systems. The aim of this project 

is to find optimal combinations of active and passive parts in a mechanical truss under 

several types of uncertainty, e.g. uncertainty in loadings, material, production processes 

or malfunction of complete bars. Mathematically, this leads to mixed-integer nonlinear 

72 1 Research

semidefinite problems. For these kinds of problems, there exists no solvers that exploit 

the structure of the problem efficiently. Besides the development of an appropriate solver 

another focus lies in a mathematical handling of the upcoming uncertainties. For example, 

ellipsoidal and polyhedral sets will be used to integrate uncertainty in different loading 

scenarios. All of this includes interdisciplinary communication to mechanical engineers to 

achieve realistic models. 

Partner: Collaborative Research Center (SFB) 805: “Control of Uncertainty of load carrying 

structures in mechanical engineering”; speaker Prof. Dr.-Ing. Holger Hanselka (Department 

of Mechanical Engineering, TU Darmstadt) 


Contact: K. Habermehl, S. Mars, M. Pfetsch, S. Ulbrich 

References 

[1] L. Mosch, S. Adolph, R. Betz, J. Eckhardt, A. Tizi, J. Mathias, A. Bohn, K. Habermehl, and 

S. Ulbrich. Control of uncertainties within an interdisciplinary design approach of a robust 

high heel. In Uncertainties 2012 - 1st international symposium on Uncertainty Quantification 

and Stochastic Modeling. Maresias, Sao Sebastiao, SP, Brasil, 2012. 

[2] R. Platz, S. Ondoua, K. Habermehl, T. Bedarff, T. Hauer, S. Schmitt, and H. Hanselka. Approach 

to validate the influences of uncertainties in manufacturing on using load-carrying structures. 

In USD 2010, Leuven, 20-22 Sept. 2010. 

[3] M. Wiebel, R. Engelhardt, and K. Habermehl. Uncertainty in process chains and the calculation 

of their propagation via monte-carlo simulation. In 12th International Dependency and 

Structure Modelling Conference, DSM 2010, Cambridge, UK, July 22, 2010. 

Project: Generation of Certificates for the Infeasibility of Technical Capacities 

This project is part of the BMWi cooperative project “Investigation of the technical capacities 

of gas networks”, in which six research partners, the gas transportation company Open 

Grid Europe, and the German Federal Network Agency (Bundesnetzagentur) are involved. 

The technical capacities determine bounds on the amount of gas that can be charged into 

or discharged from a gas network. Therefore, a central aspect is to compute the technical 

capacities. 

In our sub-project, we want to determine certificates for the infeasibility of certain gas 

nominations. For the analysis of technical capacities one has to decide which requests can 

be handled by the network. If a certain nomination cannot be transported, one wants to 

know the reason why this nomination is infeasible. Thus a justification is required, i.e., a 

certificate that is easy to understand. This should be possible without the need for involved 

simulations or computations. We will concentrate on the development of methods to find 

such certificates and apply them to the analysis of technical capacities. 

Partner: Zuse-Insitute Berlin, Universität Hannover, Universität Duisburg-Essen, HU 

Berlin, Universität Erlangen-Nürnberg, German Federal Network Agency (Bundesnetzagentur), 

Open Grid Europe 

Support: German Federal Ministry of Economics and Technology (BMWi) 

Contact: I. Joormann, M. Pfetsch 

Project: FORNE 


In this project, we deal with gas network optimization, together with our industrial partner 

Open Grid Europe (OGE). The goal is to provide tools for the mid to long term planning 

of gas networks. One main step deals with the question to decide whether a given amount 

of gas and given bounds on the pressure can be transported in a stationary gas network. 

Furthermore, the extension of the existing gas network topology is considered. We develop 

algorithms that provide solutions to the corresponding mixed-integer nonconvex, 

nonlinear optimization problems. The methods are tested on the real-world instances of 

OGE. 

Partner: Zuse-Insitute Berlin, Universität Hannover, Universität Duisburg-Essen, HU 

Berlin, Universität Erlangen-Nürnberg, Weierstraß-Institut für Angewandte Analysis und 

Stochastik (WIAS) Berlin, Open Grid Europe 

Contact: I. Joormann, M. Pfetsch 

Project: polymake 

The mathematical software system polymake provides a wide range of functions for convex 

polytopes, simplicial complexes, and other objects. 

While the system exists for more than a decade it was continuously developed and expanded. 

The most recent version fundamentally changes the way to interact with the 

system. It now offers an interface which looks similar to many computer algebra systems. 

However, on the technical level polymake differs from most mathematical software 

systems: rule based computations, a flexible object hierarchy and an extendible dual 

Perl/C++ interface are the most important characteristics. There are interfaces to programs 

written in C, C++, Java, and Perl. 

polymake is an open source software project. The current version 2.12 can be downloaded 

freely from www.polymake.org. 

Partner: Ewgenij Gawrilow (TomTom N.V.) and the polymake team 

Contact: M. Joswig 

References 

[1] E. Gawrilow and M. Joswig. polymake: a framework for analyzing convex polytopes. In 

G. Kalai and G. M. Ziegler, editors, Polytopes — Combinatorics and Computation, pages 43–74. 

Birkhäuser, 2000. 

[2] M. Joswig, B. Müller, and A. Paffenholz. Polymake and lattice polytopes. In C. Krattenthaler, 

V. Strehl, and M. Kauers, editors, DMTCS Proceedings of the FPSAC 2009, pages 491–502, 2009. 

[3] M. Joswig and A. Paffenholz. Defect polytopes and counter-examples with polymake. ACM 

Communications in Computer Algebra, 45(3/4):177–179, 2011. 

Project: Symmetries in Linear and Integer Linear Programming 

It is a known fact that many standard (integer) linear programming formulations of relevant 

problems in optimization exhibit a lot of symmetry. In this situation a standard 

branch-and-cut framework repeatedly enumerates symmetric solutions, and sometimes 

this renders such methods useless. To address these issues the last decade saw a number 

of approaches to devise algorithms specialized to symmetric optimization problems, see 

e.g. Ostrowski et al. [2]. 

We tackle the problem from a geometric and group theoretic view point. Basic properties 

of linear representations of finite groups can be used to reduce symmetric linear 

74 1 Research

programming to solving linear programs of lower dimension. Combining this approach 

with knowledge of the geometry of feasible integer solutions yields an algorithm for solving 

highly symmetric integer linear programs which only takes time which is linear in the 

number of constraints and quadratic in the dimension. We also extend this approach to 

integer linear programs that are symmetric with respect to products of groups. 

Support: Studienstiftung des deutschen Volkes 

Contact: M. Joswig, K. Herr 

References 

[1] R. Bödi, K. Herr, and M. Joswig. Algorithms for highly symmetric linear and integer programs. 

Math. Programming, Series A, 137:65–90, 2013. 

[2] J. Ostrowski, J. Linderoth, F. Rossi, and S. Smriglio. Orbital branching. Math. Program., 126(1, 

Ser. A):147–148, 2011. 

Project: Optimization of process chains under uncertainty 

The aim of this project is to determine optimal process chains, as well as mastering uncertainties 

which occur in process chains and process networks. Uncertainties e.g., occur 

when non-deterministic variations of geometry or material influence the strength of a stick 

in a stick system. Uncertainties also occur in form of imprecise sales-forecasts. These imprecisions 

have direct consequences on production techniques. 

In the context of this subproject, optimal process chains for the production of devices are 

to be determined. We can examine various objectives for this purpose, e.g. the minimization 

of production costs subject to compliance with certain tolerances of quality. Another 

objective may be to maximize the profits under consideration of variations in the market. 

In the SFB 805, we find on various levels process chains flawed with uncertainties. The 

first task is to develop mathematical models that embrace the problems of practice. In this 

project, we assume that we can model the inherent uncertainties of process chains with 

the help of distributions over future random scenarios. A discretization of a distribution 

leads us to a model described by high dimensional mixed-integer linear programs. These 

programs have block-structured constraint-matrices, where blocks represent possible scenarios 

which are coupled via some decision variables. The number of scenarios can be 

reduced with the help of suited reduction methods so that the resulting mixed-integer program 

turns out to be manageable in many cases. 

Additionally, approximation algorithms and heuristic procedures, which can work without 

constructing the enormously large stochastic programs, are to be examined. A more efficient 

description of the multi-stage stochastic problems can be exploited in these cases. 

The resulting slim problems are often PSPACE-hard, and have strong similarities to nonstochastic 

2-person games. The aim, however, is to avoid an exponential blow up in the 

size of the input description as it occurs, when stochastic programs are transformed to 

their deterministic equivalents. 

Partner: Collaborative Research Center (SFB) 805: “Control of Uncertainty of load carrying 

structures in mechanical engineering”; Speaker H. Hanselka (Department of Mechanical 

Engineering, TU Darmstadt) 


Contact: T. Ederer, U. Lorenz 


References 

[1] E. Abele, M. Haydn, T. Hauer, U. Lorenz, and T. Ederer. Unsicherheitsoptimierte Prozesskette 

bei der Bohrungsfeinbearbeitung. wt Werkstatttechnik online, 101:730–736, 2011. 

[2] J. Avemann, S. O. Schmitt, T. Ederer, U. Lorenz, and P. Groche. Analysis of market demand 

parameters for the evaluation of flexibility in forming technology. Enabling Manufacturing 

Competitiveness and Economic Sustainability, pages 458–463, 2011. 

[3] T. Ederer, U. Lorenz, A. Martin, and J. Wolf. Quantified linear programs: A computational 

study. In Proceeding ESA 2011, pages 203–214. Springer, 2011. 

[4] P. Groche, M. Kraft, S. O. Schmitt, S. Calmano, U. Lorenz, and T. Ederer. Control of uncertainties 

in metal forming by applications of higher flexibility dimensions. Applied Mechanics and 

Materials, 104:83–93, 2012. 

Project: GOmputer: the GO machine 

The ability to compete with humans in playing games, most prominently chess, has been 

a longstanding touchstone for machine intelligence. In 1997, IBM’s chess machine Deep 

Blue defeated Garry Kasparov, the highest-rated chess player ever [1]. Since then, several 

chess machines have been developed that are able to compete with human top players; the 

world’s strongest one presumably being our own development Hydra [2, 3]. In contrast, 

computer programs for the Asian board game GO are still rather weak, which is often 

attributed to GO’s orders of magnitude greater complexity - in terms of possible board 

positions and moves. While cracking GO remains an open challenge [5], in the last years 

GO programs also began to serve as test beds for the evaluation of developments in areas 

such as game tree search, pattern recognition, and machine learning. 

The GOmputer project aims at the investigation of novel algorithmic approaches for playing 

GO and the development of a parallelized and hardware-accelerated GO machine prototype. 

From our previous work and experience, especially the world’s strongest chess 

machine Hydra, we know that the interplay of research and development efforts between 

game algorithms and modern parallel computing architectures is a necessity to achieve a 

competitive GO machine. On the longer term, this project should lay the foundation for 

the development of the world’s strongest GO machine [4]. 

The proposed PhD project is co-supervised by Ulf Lorenz, TU Darmstadt, and Marco 

Platzner, University of Paderborn. 

Partner: M. Platzner and L. Schäfers, Universität Paderborn 

Support: Microsoft, Universität Paderborn 

Contact: U. Lorenz 

References 

[1] M. Campbell, A. J. Hoane, and F. H. Hsu. Deep blue. Artificial Intelligence, 134(1-2):57–83, 

2002. 

[2] C. Donninger and U. Lorenz. The chess monster hydra. Proceedings of the International Conference 

on Field-Programmable Logic and Applications (FPL), LNCS 3203, pages 927–932, 2004. 

[3] C. Donninger and U. Lorenz. The hydra project. Xcell Journal, 2005. 

[4] T. Graf, U. Lorenz, M. Platzner, and L. Schaefers. Parallel monte-carlo tree search for HPC 

systems. In Euro-Par (2), pages 365–376, 2011. 

[5] F. H. Hsu. Cracking go. IEEE Spectrum, 44:50–55, 2007. 

76 1 Research

Project: Uncertainties in the structure finding process of hydrostatic consumers 

A present demand of hydrostatics in car power-trains is the minimization of losses for 

valve-controlled consumers. One strategy to achieve the goal is that the displacement controller 

avoids resistant losses. For cost and functional reasons this way is not satisfactory 

for all situations. The focus is now on the question how future valve controls will look 

like. Beyond the structure of the hardware, the question arises, how the used valves can 

be operated. An analysis of current operating strategies shows no systematics which control 

strategy is well fitting for which situation. 

Thus the task is to find a hardware structure of valves of different types and a control 

algorithm for it such that losses are minimized under consideration of functionality, load 

profiles, demanded precision, energetic losses and costs. 

Partner: P. Pelz, TU Darmstadt, Institut für Fluidsystemtechnik 

Support: Collaborative Research Center (SFB) 805 


Project: System optimization of the heating plant in the Darmstadtium 

This is a pre-project for a larger project in cooperation with VDMA. Algorithmic optimization 

methods are used for the system design of heating plants and the current heating 

plant of the Darmstadtium is evaluated. Questions of the carrier in the Darmstadtium are: 

Is the wood heating boiler efficiently used? Does the hydraulic separator work as it should 

do? How should own heating and long-distance heating be mixed? Is the buffer storage 

intelligently used? 

Partner: P. Pelz, TU Darmstadt, Institut für Fluidsystemtechnik 

Support: VDMA 


Project: Extension of mathematical Optimization Methods to solve PSPACE-complete 

Problems with the Help of Quantified Linear Programs 

For classic optimization, it is assumed that the input of a problem is known before the 

computation starts. In practice, however, we are often in a situation where a part of the 

input data is afflicted with uncertainties or only estimations are known in advance. Many 

interesting optimization problems become PSPACE-complete as soon as even only most 

simple uncertainties are incorporated into the description of the input data. There are various 

approaches under research in the area of optimization under uncertainty. Relatively 

unexplored are the opportunities of quantified extensions of linear programs where some 

of the variables are universally quantified and the others extistentially. Such extended linear 

programs are called quantified linear programs (QLP). QLPs where the variables must 

be integer, are called quantified integer programs (QIP) and the QIP problem is PSPACE 

complete. 

The aim of this research is to extend methods and insights of Mathematical Optimization 

such that they can be used to solve QIPs and QLPs. It is to be examined in how far QLPs 

and QIPs are useful tools in order to describe interesting problems from practice and in 

how far solution algorithms can be presented which lead to impressive results, in the same 

way as MIP-solvers have already shown for NP-complete problems of practice. 



Contact: U. Lorenz, T. Opfer 

References 

[1] T. Ederer, U. Lorenz, T. Opfer, and J. Wolf. Modeling games with the help of quantified integer 

linear programs. In ACG, pages 270–281, 2011. 

Project: Triangulations and other decompositions of lattice polytopes in toric and 

tropical geometry 

Lattice polytopes are objects at a junction between combinatorics and algebraic geometry. 

The study of their triangulations, coarsest subdivisions, mixed subdivisions, and other 

decompositions is motivated by the mutual interaction between these fields as well as by 

applications in number theory, optimization, statistics, mathematical physics, and algorithmic 

biology. 

Attacking fundamental open problems in this area requires to combine theoretical insight 

with algorithmic ingenuity and computer experiments. Specific topics addressed in this 

project include the following: unimodular triangulations of lattice polytopes (in particular, 

matroid polytopes), the relationship between smoothness and normality of a toric variety, 

combinatorial and geometric interpretations of h ∗ -polynomials, and symmetric lattice 

polytopes. 

Partner: Priority Program 1489 “Algorithmic and Experimental Methods in Geometry, 

Algebra, and Number Theory”; speaker: W. Decker 


Contact: M. Joswig, A. Paffenholz 

References 

[1] B. Assarf, M. Joswig, and A. Paffenholz. Smooth fano polytopes with many vertices, Sept. 

2012. arxiv:1209.3186. 

[2] S. Di Rocco, C. Haase, B. Nill, and A. Paffenholz. Polyhedral adjunction theory, May 2011. 

arxiv:1105.2415. 

[3] A. Dochtermann, M. Joswig, and R. Sanyal. Tropical types and associated cellular resolutions. 

J. Algebra, 356:304–324, 2012. 

[4] S. Herrmann, M. Joswig, and D. Speyer. Dressians, tropical Grassmannians, and their rays. 

Forum Math., 2012. published online, doi:10.1515/forum-2012-0030. 

[5] M. Joswig and G. M. Ziegler. Foldable triangulations of lattice polygons. arXiv:1207.6865. 

[6] B. Nill and A. Paffenholz. On the equality case in ehrhart’s volume conjecture, May 2012. 

arxiv:1205.1270. 

Project: Algorithmic Methods in Combinatorial Topology 

Algorithmic problems are fundamental to low-dimensional topology; key examples include 

testing two spaces for topological equivalence, or identifying the topology of a space from 

a given triangulation. Although solutions to many such problems are known, the methods 

are often infeasibly slow, impractically complex, and difficult to implement. Central to 

many of these algorithms is the "projective solution space", a highdimensional polytope 

(analogous to a 3-D polyhedron or 2-D polygon) that encodes a large amount of topological 

information. Our primary goal is to study the structure of this polytope, yielding new 

insights into the difficulty of these algorithmic problems, and developing new algorithms 

78 1 Research

that allow these problems to be used effectively in practical experimentation. In particular, 

we will: - develop new algorithms to locate vertices of the polytope that hold particular 

topological significance; - develop a direct, efficient approach to determine the logarithmic 

limit set of the deformation variety, yielding significant geometric insights into the topological 

space under investigation; - gaining a clear understanding of the combinatorial 

complexity of the polytope, in particular the "admissible region" in which the most important 

topological information is located. Outcomes will include not only research papers, 

but also fast, accessible mathematical software for use by the wider research community. 

Such software is needed in practical applications of topology, such as DNA knotting and 

mathematical physics. 

Partner: B. Burton (University of Queensland, Brisbane), S. Tillmann (University of Sydney) 

Support: “Go8 Australia-Germany Joint Research Co-operation Scheme”, German Academic 

Exchange Service (DAAD) 

Contact: M. Joswig, A. Paffenholz 

Project: Optimal control of switched networks for nonlinear hyperbolic conservation 

laws 

The project is part of the DFG-Priority Program SPP 1253 “Optimization with Partial Differential 

Equations”. 

Its aim is the analysis of optimal control problems for hyperbolic balance laws on networks 

under modal switching, where the switchings are considered in the source terms as well 

as at boundary nodes and junctions. This type of problems arise for example in traffic flow 

models or in models for water and gas networks. 

The main difficulty of the analysis of conservation laws stems from the fact that even in 

the case of a single scalar conservation law and smooth data the entropy solution usually 

develops shocks, which causes the solution operator not to be differentiable in the 

usual sense. However, encouraging progress has been achieved recently for the optimal 

control of conservation laws by using a generalized notion of differentiability (so called 

shift-differentiability). Switching between different modes may result in additional discontinuities 

in the solution, which is, however, quite natural in the context of entropy 

solutions. 

The project focuses on the investigation of the existence of optimal controls, the differentiability 

properties of the reduced objective function w.r.t. the initial and boundary data, 

the node conditions (at junctions) and switching times as well as the corresponding sensitivity 

and adjoint equations. 

Partner: G. Leugering, Universität Erlangen-Nürnberg 


Contact: S. Pfaff, S. Ulbrich 

References 

[1] M. Giles and S. Ulbrich. Convergence of linearized and adjoint approximations for discontinuous 

solutions of conservation laws. part 1: Linearized approximations and linearized output 

functionals. SIAM J. on Numerical Analysis, 48(3):882–904, 2010. 


[2] M. Giles and S. Ulbrich. Convergence of linearized and adjoint approximations for discontinuous 

solutions of conservation laws. part 2: Adjoint approximations and extensions. SIAM J. 

on Numerical Analysis, 48(3):905–921, 2010. 

Project: Mixed-Integer nonlinear models in wireless networks 

This project is part of the LOEWE Priority Program Cocoon (Cooperative Sensor Communication) 

supported by the LOEWE research initiative of the state of Hessen/Germany. 

In this project we explore the utilization of mixed-integer optimization in wireless telecommunication 

networks. Typical for problems occurring in this context is the simultaneous 

consideration of continuous optimization variables e.g., like beamforming vectors and 

combinatorial aspects, like the assignment of base stations to mobile users. 

Mathematical models are derived that account both for the requirements of the application 

and the solvability. Usually one has to deal with NP-hard problems in this context that 

cannot be solved by standard software. We investigate convex approximations as well as 

heuristics to derive reasonable good solutions. We use these approximations just as techniques 

like cutting plane generation aiming to solve the mixed integer nonlinear model of 

the original problem. The global optimal solution can also be used to evaluate heuristic 

and approximation approaches. 

Partner: LOEWE Priority Program Cocoon (Cooperative Sensor Communication) 

Contact: A. Philipp, S. Ulbrich 

References 

[1] Y. Cheng, S. Drewes, A. Philipp, and M. Pesavento. Joint network topology optimization and 

multicell beamforming using mixed integer programming. In WSA 2012 - 16th International 

ITG Workshop on Smart Antennas, pages 187 – 192, 2012. 

[2] Y. Cheng, A. Philipp, and M. Pesavento. Dynamic rate adaptation and multiuser downlink 

beamforming using mixed integer conic programming. In EUSIPCO 2012 - 20th European 

Signal Processing Conference, pages 824 – 828, 2012. 

Project: Efficient Numerical Multilevel-Methods for the Optimization of Gas Turbine 

Combustion Chambers 

In the past few years, there has been a lot of development regarding the optimization of 

flows. This field of research is among the most challenging tasks from a numerical and also 

theoretical point of view. With todays computational power and algorithmic developments, 

the optimization of the flow and combustion in a gas turbine chamber is within reach. In 

this project, we tackle the task of efficient optimization with a sophisticated numerical 

code for flow solving, while combining them with state of the art optimization techniques. 

The basis for the numerical calculations is the parallel multi-grid flow solver FASTEST-3D, 

which has been developed in the past few years and has various flow and combustions 

models incorporated. 

Via automatic differentiation, we obtain a linear system for the adjoint equations, with 

which the gradients for the optimization routines are obtained. This has already been 

done for various kinds of optimization problems including LES and RANS of unsteady 

three dimensional flows, heat transfer, and shape optimization. 

For the optimization, a multilevel optimization environment has been implemented. Here, 

80 1 Research

one makes use of a hierarchical order of models describing a problem. Examples for these 

models are discretization levels or models with increasing physical fidelity. 

Partner: Collaborative Research Center (SFB) 568: “Flow and Combustion in Future Gas 

Turbine Combustion Chambers”; speaker J. Janicka (Department of Mechanical Engineering, 

TU Darmstadt) 


Contact: R. Roth, S. Ulbrich 

Project: Optimal design and control of adaptronic systems 

This project is part of the LOEWE-Center AdRIA, which is a collaborative reserach initiative 

of the Fraunhofer Institute for Structural Durability and System Reliability LBF, the TU 

Darmstadt and the Hochschule Darmstadt to create a leading international research center 

for adaptronic systems. 

As part of the project "quiet office" we develop cost-effective system solutions to optimize 

the sound insulation in office buildings to the prototypical market for flat building elements 

(windows, facades, partition walls), building services (plumbing, heating and air 

conditioning), and office equipment (projector, printer, copier). The demonstrator "acoustic 

aquarium" provides an appropriate platform to interpret, implement and evaluate the 

approaches, methods and solutions for vibration reduction. 

An FE model of the acoustic demonstrator was developed and approximated by model 

order reduction. Based on this model, a method for optimal placement of sensors and 

actuators is developed. Afterwards we deal with the optimization of controller parameters 

and the development of linear and nonlinear model predictive control (MPC) algorithms. 

With the MPC approach, we plan to reduce the noise and vibration by an online optimization 

method at the acustic demonstrator. The developed methods will be tested and 

compared with existing methods. 

Partner: LOEWE-Center AdRIA: S. Herold 

Contact: S. Ulbrich, C. Schäfer 

References 

[1] F. Kartzow, L. Schewe, and O. Janda. Simultaneous optimization of damper parameters on a 

truss. DAGA, 2010. 

[2] M. Kurch, H. Atzrodt, F. Kartzow, L. Schewe, and O. Janda. On model order reduction for 

parameter optimisation of vibration absorbers. RASD, 2010. 

Project: Mathematical Programming in Robust Design 

The presence of uncertainty is a prevalent characteristic in mechanical engineering which 

can lead to severe economical and safety consequences. This applies particularly to fields 

like lightweight design, e.g. aircraft construction, where high load-bearing capacity has to 

be combined with low weight and where system failure is not tolerable at any point. 

As part of the Collaborative Research Centre (SFB) 805: “Control of uncertainty of load 

carrying systems in mechanical engineering” we want to find - for load carrying mechanical 

systems - the optimal robust design regarding uncertainty of parameters, e.g. material 

properties and loading scenarios, as well as uncertainty of the manufacturing quality. 

This is achieved by simulation-based optimization of geometry, topology and the placement 


of actuators, at which modern techniques of robust optimization are applied and extended. 

In particular we choose a worst-case approach to incorporate the existing uncertainty into 

our optimization model. This leads to a computationally intractable problem formulation 

since we consider nonlinear nonconvex objective functions and further employ complex 

PDE constraints in order to model the mechanical behaviour of the considered structures. 

Hence, this so-called robust counterpart is approximated by means of a second order Taylor 

expansion which is solved by an efficient SQP method. 

Partner: Collaborative Research Centre (SFB) 805: “Control of uncertainty of load carrying 

systems in mechanical engineering”; Speaker H. Hanselka (Department of Mechanical 

Engineering, TU Darmstadt) 


Contact: A. Sichau, S. Ulbrich 

References 

[1] A. Sichau and S. Ulbrich. A Second Order Approximation Technique for Robust Shape Optimization. 

Applied Mechanics and Materials, 104:1–40, 2011. 

Project: SPEAR – Sparse Exact and Approximate Recovery 

The research project “SPEAR – Sparse Exact and Approximate Recovery” deals with the 

problem to recover a sparse solution of an underdetermined linear (equality) system. This 

topic has many applications and is a very active research area. It is located at the border 

between analysis and combinatorial optimization. The main goal of our project is to 

obtain a better understanding of the conditions under which (efficiently) finding such a 

sparse solution i.e., recovery is possible. Our project is characterized by both theoretical 

and computational aspects as well as the interplay of continuous and discrete methods. 

The SPEAR project is a collaboration of the Research Group Optimization at the TU Darmstadt 

(since 2012, previously: Institute for Mathematical Optimization at the TU Braunschweig) 

and the Institute for Analysis and Algebra at the TU Braunschweig. The project 

is funded by a DFG research grant. Designated project period: 2011–2014. 

Partner: D. A. Lorenz and C. Kruschel, TU Braunschweig 


Contact: M. Pfetsch, A. Tillmann 

References 

[1] D. A. Lorenz, M. E. Pfetsch, and A. M. Tillmann. An infeasible-point subgradient method using 

adaptive approximate projections. Preprint, TU Darmstadt, TU Braunschweig, 2012. 

[2] D. A. Lorenz, M. E. Pfetsch, and A. M. Tillmann. Solving basis pursuit: Subgradient algorithm, 

heuristic optimality check, and solver comparison. Preprint, TU Darmstadt, TU Braunschweig, 

2012. 

[3] M. E. Pfetsch and A. M. Tillmann. The computational complexity of the restricted isometry 

property, the nullspace property, and related concepts in compressed sensing. Preprint, TU 

Darmstadt, 2012. 

[4] S. Wenger, M. Ament, S. Guthe, D. A. Lorenz, A. M. Tillmann, D. Weiskopf, and M. Magnor. Visualization 

of astronomical nebulae via distributed multi-gpu compressed sensing tomography. 

IEEE Transactions on Visualization and Computer Graphics, 18:2188–2197, 2012. 

82 1 Research

Project: Mathematical models and algorithms for an automated product development 

of branched sheet metal products 

This project is part of the Collaborative Research Centre (SFB) 666 (Integral sheet metal 

design with higher order bifurcations - development, production, evaluation) and addresses 

the shape optimization of sheet metal products. There are two types of considered 

sheet metal products: Multi-chambered profiles and hydroformed branched sheet metal 

structures. For profiles, the goal is to find the optimal design of the profile-cross-sections. 

For this purpose, an integrated approach combining topology and geometry optimization is 

developed. Using branch and bound techniques, topological decisions are made where in 

each branch and bound node a nonlinear optimization problem has to be solved. As hydroformed 

parts can show arbitrary curvature, the geometry of those parts is parameterized 

by cubic B-spline surfaces. The product behavior is described by the three dimensional 

linear elasticity equations. To optimize the geometry optimization of the branched and hydroformed 

sheet metal products, PDE constrained optimization techniques are used. The 

arising nonconvex geometry optimization problem is solved with an algorithm using exact 

constraints and a globalization strategy based on adaptive cubic regularization. For 

decreasing the computational effort, multilevel-techniques are applied. 

Partner: Collaborative Research Centre (SFB) 666: “Integral sheet metal design with 

higher order bifurcations - development, production, evaluation”; speaker P. Groche (Department 



Contact: T. Göllner, H. Lüthen, M. Pfetsch, S. Ulbrich 

References 

[1] C. E. Ferreira, U. Günther, and A. Martin. Mathematical models and polyhedral studies for 

integral sheet metal design. SIAM Journal on Optimization, 22:1493–1517, 2012. 

[2] T. Göllner, U. Günther, W. Hess, A. Martin, and S. Ulbrich. Topology and geometry optimization 

of branched sheet metal products. Proceedings in Applied Mathematics and Mechanics, 11:713 

– 714, 2011. 

[3] T. Göllner, U. Günther, W. Hess, M. Pfetsch, and S. Ulbrich. Optimierung der Geometrie und 

Topologie flächiger verzweigter Blechbauteile und von Mehrkammerprofilen. Tagungsband 4. 

Zwischenkolloquium Sonderforschungsbereich 666, Hrsg. Peter Groche, pages 15 – 24, 2012. 

[4] T. Göllner, W. Hess, and S. Ulbrich. Geometry optimization of branched sheet metal products. 

Proceedings in Applied Mathematics and Mechanics, 12:619 – 620, 2012. 

[5] P. Groche, H. Birkhofer, O. Bauer, T. Göllner, S. Gramlich, V. Kaune, F. Rullmann, and O. Weitzmann. 

Potenziale einer durchgängigen Produktentstehung - Nutzung technologieinduzierter 

Eigenschaften zur Entwicklung von Blechstrukturen. Konstruktion, 11/12-2012, 2012. 

[6] P. Groche, W. Schmitt, A. Bohn, S. Gramlich, S. Ulbrich, and U. Günther. Integration of 

manufacturing-induced properties in product design. Tagungsband 4. Zwischenkolloquium Sonderforschungsbereich 

666, Hrsg. Peter Groche, pages 15 – 24, 2012. 

[7] W. Hess and S. Ulbrich. An inexact l1 penalty sqp algorithm for pde constrained optimization 

with an application to shape optimization in linear elasticity. Optimization Methods and 

Software, pages 1 – 26, 2012. 

[8] O. Weitzmann, A. Schüle, T. Rollmann, R. Anderl, and T. Göllner. An object-oriented information 

model for the representation of free form sheet metal parts in integral style. Tools and 

Methods of Competitive Engineering, pages 725 – 738, 2012. 


Project: Simulation-based optimization methods for the hydro-forming of branched 

structures 

This project is part of the Collaborative Research Centre (SFB) 666 (Integral sheet metal 

design with higher order bifurcations - development, production, evaluation) and is concerned 

with the optimal control of the sheet metal hydro-forming. The sheet metal hydroforming 

process is a complex forming process, which involves contact, friction, and plasticity 

to manufacture complexly curved sheet metals with bifurcated cross-section. Mathematically, 

this leads to a quasi-variational inequality. We want to find optimal controls 

for typical control variables, e.g., the time dependent blank holder force and the fluid 

pressure, by the use of simulation-based optimization methods. Our goal is to obtain a desired 

final configuration, taking into consideration relevant parameters for the production. 

On the one hand, we use derivative free optimization methods to solve the optimal control 

problem, where the commercial FEM-software ABAQUS is invoked for the simulations 

and, on the other hand, instantaneous optimization methods are under investigation. In 

this context model reduction techniques, e.g. Proper Orthogonal Decomposition, will be 

employed to achieve a suboptimal solution for the optimal control problem. 

Partner: Collaborative Research Centre (SFB) 666: “Integral sheet metal design with 

higher order bifurcations - development, production, evaluation”; speaker P. Groche (Department 



Contact: D. Koller, S. Ulbrich 

References 

[1] D. Koller and S. Ulbrich. Optimal control of hydroforming processes. Proceedings in Applied 

Mathematics and Mechanics, 11:795 –796, 2011. 

[2] D. Koller and S. Ulbrich. Ableitungsfreie Optimierungsverfahren für die optimale Steuerung 

von wirkmedienbasierten Tiefziehprozessen. Tagungsband 4. Zwischenkolloquium Sonderforschungsbereich 

666, Hrsg. Peter Groche, pages 41 – 48, 2012. 

1.2.8 Stochastics 

Research in the stochastics group is focused on mathematical statistics (i.e., on the mathematical 

analysis of randomly disturbed data) and on statistical mechanics with connections 

to the phsyical sciences. 

We are interested in the theoretical analysis of methods of mathematical statistics, the 

study of interacting particle systems, interacting Brownian motions, phase transitions and 

critical phenomena. Furthermore we investigate applications in various fields of physics, 

science and engineering. 

Specifically, we work on curve estimation (in particular nonparametric regression and nonparametric 

density estimation), spatial random permutations, and probabilistic methods 

in quantum theory. Furthermore, we study Monte Carlo methods for financial engineering, 

and applications of probability theory to the theory of Bose-Einstein condensation. 

The members of the research group stochastics are involved in joint projects with colleagues 

working in probability and statistics, as well as from neighboring disciplines like 

econometrics, engineering sciences, physics, and psychology. Furthermore, we are carrying 

out research projects in applied stochastics with well-known industrial partners. 

84 1 Research

Project: Spatial random permutations and Bose-Einstein condensation 

The theoretical understanding of the quantum phenomenon of Bose-Einstein condensation 

is one of the great unsolved problems of theoretical physics. It is well known that 

the quantum mechanical problem can be translated into a probabilistic one by using the 

Feynman-Kac formula. The result is a system of interacting spatial permutations, and the 

question to be answered is about a phase transition in the typical length of cycles, with 

the order parameter being the typical distance of two spatial points that will be mapped 

into each other by the permutation. Even though an understanding of the full probabilistic 

model is currently out of reach, there are various simplifications that should exhibit typical 

properties of the full model and are interesting in their own right. Moreover, these simpler 

models touch on many other current topics of statistical mechanics, such as motion 

by mean curvature, percolation or Schramm-Löwner evolution. The work in the research 

group is focused on understanding various of these aspects in simple cases, using both 

analytical and numerical methods. 

Partner: D. Ueltschi (University of Warwick); T. Funaki (University of Tokyo) 

Contact: V. Betz 

References 

[1] V. Betz and D. Ueltschi. Spatial random permutations and poisson-dirichlet law of cycle 

lengths. Electronic Journal of Probability, 16:41, 2011. 

[2] V. Betz and D. Ueltschi. Spatial random permutations with small cycle weights. Probab. Th. 

Rel. Fields, 149:191–222, 2011. 

[3] V. Betz, D. Ueltschi, and Y. Velenik. Random permutations with cycle weights. Ann. Appl. 

Probab., 21:312–331, 2011. 

Project: Enhanced binding through path integrals 

The description of electrically charged matter coupled to its quantized radiation field has 

been an active and successful area of research in the past decade. One possible way to 

study the problem is to use path integrals, thus converting the problem into a probabilistic 

one. One particular area where this is promising is the study of the effective mass of 

coupled particles: as charged particles are surrounded by a cloud of photons, their mass is 

increased. Probabilistically, this leads to a non-Markovian modification of Brownian motion 

where in the diffusive scaling a functional central limit theorem to holds. The diffusion 

matrix is known to be smaller or equal to the one of the original Brownian motion, but is 

expected to be strictly smaller. This discrepancy, leading to a reduced expected mobility of 

the particle, corresponds exactly to the increased effective mass. The aim of the project is 

to quantify and prove the difference of the diffusion constants, and to apply it to models 

like the Nelson scalar field model where so far enhanced binding has not been shown. 

Partner: E. Bolthausen (Universität Zürich) 

Contact: V. Betz 

References 

[1] J. Lőrinczi, F. Hiroshima, and V. Betz. Feynman-Kac-Type Theorems and Gibbs Measures on Path 

Space. de Gruyter, 2011. 

Project: Data-based optimal stopping via forecasting of time series 


The problem of optimal stopping in discrete time is considered. The algorithm proposed 

uses techniques of forecasting of time series and is completely nonparametric in the sense 

that it is solely based on observations. It is shown that the expected gain of the corresponding 

stopping rule converges to the optimal value whenever the observations are 

drawn from a stationary and ergodic sequence. The algorithm is illustrated by applying it 

to the problem of optimal exercising an American option. 

Contact: D. Jones 

References 

[1] D. Jones. Data-based optimal stopping via forecasting of time series. Preprint, TU Darmstadt, 

2012. 

[2] M. Kohler and H. Walk. On data-based optimal stopping under stationarity and ergodicity. To 

appear in Bernoulli 2013. 

Project: Regression based Monte Carlo methods for pricing Bermudan options 

In many applications of regression based Monte Carlo methods for pricing American options 

in discrete time parameters of the underlying financial model have to be estimated 

from observed data. In this project suitably defined nonparametric regression based Monte 

Carlo methods are applied to paths of financial models where the parameters converge towards 

true values of the parameters. For various Black-Scholes, Garch and Levy models it 

is shown that in this case the price estimated from the approximate model converge to the 

true price. 

Contact: A. Fromkorth, M. Kohler 

References 

[1] A. Fromkorth and M. Kohler. On the consistency of regression based monte carlo methods for 

pricing bermudan options in case of estimated financial model. Preprint, TU Darmstadt, 2011. 

Project: Weakly universally consistent static forecasting of stationary and ergodic 

time series via local averaging and least squares estimates 

Static forecasting of stationary and ergodic time series is considered in this project, i.e., 

inference of the conditional expectation of the response variable at time zero given the 

infinite past. It is shown that the mean squared error of a combination of suitably defined 

localized least squares estimates converges to zero for all distributions where the response 

variable is square integrable. 

Partner: H. Walk, Universität Stuttgart 

Support: German National Academic Foundation 

Contact: T. Felber, D. Jones, M. Kohler 

References 

[1] T. Felber, D. Jones, M. Kohler, and H. Walk. Weakly universally consistent static forecasting of 

stationary and ergodic time series via local averaging and least squares estimates. Preprint, 


Project: Fixed design regression estimation based on real and artificial data 

86 1 Research

In this project we study fixed design regression estimation based on real and artificial data, 

where the artificial data comes from previously undertaken similar experiments. A least 

squares estimate is introduced which gives different weights to the real and the artificial 

data. It is investigated under which condition the rate of convergence of this estimate is 

better than the rate of convergence of an ordinary least squares estimate applied to the 

real data only. The results are illustrated using simulated data and are used to estimate 

fatigue parameters. 

Partner: A. Krzyzak, Concordia University (Montreal) and Collaborative Research Center 

666 


Contact: T. Felber, D. Jones, M. Kohler 

References 

[1] D. Furer, M. Kohler, and A. Krzyzak. Fixed design regression estimation based on real and 

artificial data. Preprint, TU Darmstadt, 2012. 

Project: Estimation of a density using real and artificial data 

Let X , X 1 , X 2 , . . . be independent and identically distributed R d -valued random variables 

and let m : R d → R be a measurable function such that a density f of Y = m(X ) exists. 

Given a sample of the distribution of (X , Y ) and additional independent observations of X 

we are interested in estimating f . We apply a regression estimate to the sample of (X , Y ) 

and use this estimate to generate additional artificial observations of Y . Using these artificial 

observations together with the real observations of Y we construct a density estimate 

of f by using a convex combination of two kernel density estimates. It is shown that if the 

bandwidths satisfy the usual conditions and if in addition the supremum norm error of the 

regression estimate converges almost surely faster towards zero than the bandwidth of the 

kernel density estimate applied to the artificial data, then the convex combination of the 

two density estimates is L 1 –consistent. The performance of the estimate for finite sample 

size is illustrated by simulated data, and the usefulness of the procedure is demonstrated 

by applying it to a density estimation problem in a simulation model. 

Partner: L. Devroye, McGill University (Montreal) and Collaborative Research Center 805 


Contact: T. Felber, M. Kohler 

References 

[1] L. Devroye, T. Felber, and M. Kohler. Estimation of a density using real and artificial data. 


Project: Nonparametric estimation of a latent variable model 

In this project a nonparametric latent variable model is estimated without specifying the 

underlying distributions. The main idea is to estimate in a first step a common factor 

analysis model, where a block structure of the underlying matrix is assumed. In a second 

step nonparametric regression is used to analyze the relation between the latent variables. 

Theoretical results concerning consistency of the estimates are proven, and the finite sample 

size performance of the estimates is illustrated by applying them to simulated and real 

data. 


Partner: A. Kelava, Institut für Psychologie, TU Darmstadt 

Contact: M. Kohler 

References 

[1] A. Kelava, M. Kohler, and D. Weinbender. Nonparametric estimation of a latent variable model. 


Project: Empirical comparison of nonparametric regression estimates on real data 

The performance of nine different nonparametric regression estimates is empirically compared 

on ten different real data sets. The number of data points in the real data sets varies 

between 7900 and 18000, where each real data set contains between 5 and 20 variables. 

The nonparametric regression estimates include kernel, partitioning, nearest neighbor, additive 

spline, neural network, penalized smoothing splines, local linear kernel, regression 

trees and random forests estimates. The main result is a table containing the empirical L 2 

risks of all nine nonparametric regression estimates on the evaluation part of the different 

data sets. The neural networks and random forests are the two estimates performing best. 

The data sets are publicly available, so that any new regression estimate can be easily compared 

with all nine estimates considered in this paper by just applying it to the publicly 

available data and by computing its empirical L 2 risks on the evaluation part of the data 

sets. 

Partner: F. Padberg and A. Richter, Hessisches Statistisches Landesamt 

Support: HMWK 


References 

[1] D. Jones, M. Kohler, A. Krzyzak, and A. Richter. Empirical comparison of nonparametric regression 

estimates on real data. Preprint, TU Darmstadt, 2012. 

Project: Adaptive density estimation based on real and artificial data 

Let X , X 1 , X 2 , . . . be independent and identically distributed R d -valued random variables 

and let m : R d → R be a measurable function such that a density f of Y = m(X ) exists. The 

problem of estimating f based on a sample of the distribution of (X , Y ) and on additional 

independent observations of X is considered. Two kernel density estimates are compared: 

the standard kernel density estimate based on the y-values of the sample of (X , Y ), and 

a kernel density estimate based on artificially generated y-values corresponding to the 

additional observations of X . It is shown that under suitable smoothness assumptions 

on f and m the rate of convergence of the L 1 error of the latter estimate is better than 

that of the standard kernel density estimate. Furthermore, a density estimate defined as 

convex combination of these two estimates is considered and a data-driven choice of its 

parameters (bandwidths and weight of the convex combination) is proposed and analyzed. 

Partner: A. Krzyzak, Concordia University (Montreal) and Collaborative Research Center 

805 



88 1 Research

References 

[1] M. Kohler and A. Krzyzak. Adaptive density estimation based on real and artificial data. 


[2] M. Kohler and A. Krzyzak. Optimal global rates of convergence for interpolation problems 

with random design. Preprint, TU Darmstadt, 2012. 

Project: CUSUM Monitoring of Serially Dependent Processes of Counts 

Real-world count data processes usually show serial dependence, which has to be considered 

while designing control charts for monitoring such processes. Cumulative sum 

(CUSUM) control charts are widely considered in research and practice, because they are 

known to be sensitive already to small changes in the process model compared to the given 

in-control scenario. Our project aims to develop CUSUM charts for count data processes 

with different types of dependence structure (e. g., AR(1)-like dependence), different types 

of marginal distribution (e. g., equi- or overdispersed), and concerning different types of 

process changes (e. g., mean shifts). We considered the upper- and two-sided CUSUM 

charts for the equidispersed Poisson INAR(1) model. We also analyzed the effect of violations 

of model assumptions and of estimated (instead of true) parameters. Concerning 

counts with overdispersion, we developed CUSUM charts for overdispersed counts as stemming 

from an INARCH(1) process. Currently, we are working on CUSUM charts based on 

different types of residuals (designed for diverse out-of-control scenarios). 

Partner: M. C. Testik, Hacettepe University, Ankara 

Contact: C. H. Weiß 

References 

[1] C. H. Weiß and M. C. Testik. The Poisson INAR(1) CUSUM Chart under Overdispersion and 

Estimation Error. IIE Transactions, 43(11):805–818, 2011. 

[2] C. H. Weiß and M. C. Testik. Detection of Abrupt Changes in Count Data Time Series: Cumulative 

Sum Derivations for INARCH(1) Models. Journal of Quality Technology, 44(3):249–264, 

2012. 

[3] P. Yontay, C. H. Weiß, M. C. Testik, and Z. P. Bayindir. A Two-Sided CUSUM Chart for First-Order 

Integer-Valued Autoregressive Processes of Poisson Counts. Quality and Reliability Engineering 

International, 29(1):33–42, 2013. 

Project: Statistical Inference for Binomial AR(1) Processes 

The binomial AR(1) model is a counterpart to the Gaussian AR(1) model for a process 

of binomial counts. Because of its intuitive structure, it applies well to many real-world 

situations. We develop approaches for estimating the two model parameters p and ρ and 

analyze the stochastic properties of the resulting estimators. For analyzing their asymptotic 

behaviour, we use results from the large sample theory of finite-state Markov chains, while 

the analysis of finite-sample properties requires simulations. Currently, we work on an 

extension of the binomial AR(1) model and diagnostic procedures for the case of extrabinomial 

variation, and we develop tests for the goodness-of-fit of the marginal distribution 

and the autocorrelation structure. 

Partner: H.-Y. Kim, Korea University, Seoul 



References 

[1] C. H. Weiß and H.-Y. Kim. Binomial AR(1) Processes: Moments, Cumulants, and Estimation. 

Statistics, 2011. To appear. 

[2] C. H. Weiß and H.-Y. Kim. Parameter Estimation for Binomial AR(1) Models with Applications 

in Finance and Industry. Statistical Papers, 2012. To appear. 

Project: Count Data Time Series and Metapopulation Models 

We establish a connection between a class of chain-binomial models of use in ecology, 

epidemiology and binomial autoregressive processes. We started our project by first focussing 

on two types of chain-binomial model, extinction-colonisation and colonisationextinction 

models, which can be related to the binomial AR(1) model in the case of densityindependence. 

As an application, we can take advantage of estimation approaches already 

established for this type of model. Furthermore, we consider the relation to the Gaussian 

AR(1) model. Currently, we worked on generalized models that allow for forms of density 

dependence. This approach allows to develop new time series models for marginal 

distributions showing under- or overdispersion compared to the binomial distribution. 

Partner: P. Pollet, University of Queensland 


References 

[1] C. H. Weiß and P. K. Pollett. Chain Binomial Models and Binomial Autoregressive Processes. 

Biometrics, 68(3):815–824, 2012. 

Project: Modeling and Analysis of Categorical Time Series 

While methods for analyzing and modeling real-valued time series have found much research 

interest in the past, only few articles consider categorical time series, i. e., time 

series with a range of finitely many and unordered categories. The project aims at developing 

new models for such time series, and, in particular, at providing tools for analyzing 

categorical time series. These include approaches for estimating characteristics like 

marginal dispersion or types of serial dependence. Current research tasks are to analyze 

the (asymptotic) stochastic properties of such estimators and to develop goodness-of-fit 

tests. 


References 

[1] C. H. Weiß. Empirical Measures of Signed Serial Dependence in Categorical Time Series. 

Journal of Statistical Computation and Simulation, 81(4):411–429, 2011. 

[2] C. H. Weiß. Generalized Choice Models for Categorical Time Series. Journal of Statistical 

Planning and Inference, 141(8):2849–2862, 2011. 

[3] C. H. Weiß. Rule Generation for Categorical Time Series with Markov Assumptions. Statistics 

and Computing, 21(1):1–16, 2011. 

[4] C. H. Weiß. Continuously Monitoring Categorical Processes. Quality Technology & Quantitative 

Management, 9(2):171–188, 2012. 

Project: Modeling and Diagnosing Overdispersion in Count Data Time Series 

90 1 Research

We consider the compound Poisson INAR(1) model for AR(1)-like counts, where the 

overdispersion of the observations is caused by the overdispersion of innovations. For 

such CPINAR(1) processes, explicit results are derived for joint moments, for the k-stepahead 

distribution as well as for the stationary distribution. It is argued that a CPINAR(1) 

process is strongly mixing with exponentially decreasing weights. This result is utilized to 

design a test for overdispersion in INAR(1) processes and to derive its asymptotic power 

function. 

Currently, we adapt our approach to the INARCH(1) family, where the overdispersion is 

due to an appropriate conditioning mechanism. While the Poisson INARCH(1) model has 

an equidispersed conditional distribution, additional overdispersion can be generated by 

choosing an overdipersed conditional distribution. We develop statistics for diagnosing 

such additional overdispersion and analyze their asymptotic distributions. 

Partner: S. Schweer, Universität Heidelberg 


1.3 Memberships in Scientific Boards and Committees 

Hans-Dieter Alber 

– GAMM 

– DMV 

– ISIMM 

– Auswahlausschuss des Bundeswettbewerbs Mathematik 

– Vertrauensdozent der Studienstiftung 

Volker Betz 

– Fellow in the EPSRC Peer Review College 

Dieter Bothe 

– Designated member of the ProcessNet committee Computational Fluid Dynamics 

– Designated member of the ProcessNet committee Multiphase Flows 

– Designated member of the ProcessNet committee Mixing Processes 

– Member of the DMV 

– Member of the DECHEMA 

Regina Bruder 

– Member of the international group for PME (Psychology of Mathematics Education) 

– Member of the group "‘Arbeitskreis Vergleichsuntersuchungen"’ of the GDM (Organization 

for Didactics of Mathematics) 

– Member of the ISTRON - group in Germany 

1.3 Memberships in Scientific Boards and Committees 91

– Member of the group "‘Nationale Standards für die Abiturprüfung in Mathematik"’ 

Jan H. Bruinier 

– Associate Member of the Pohang Mathematics Institute (PMI), Postech, Korea 

Reinhard Farwig 

– Deutsche Mathematiker-Vereinigung 

– International Research Training Group on Mathematical Fluid Mechanics Darmstadt- 

Tokyo (IRTG 1529) 

– Cluster of Excellence: Smart Interfaces - Understanding and Designing Fluid Boundaries 

– Scientific Committee of UNIFEPRESS (University of Ferrara) 

Alf Gerisch 

– European Society of Mathematical and Theoretical Biology 

– Gesellschaft Deutscher Naturforscher und Ärzte e.V. 

– Society of Industrial and Applied Mathematics 

Vassilios Gregoriades 

– Member of the American Mathematical Society 

– Member of the Deutsche Vereinigung für Mathematische Logik und für Grundlagenforschung 

der Exakten Wissenschaften 

Roland Gunesch 

– American Mathematical Society 

– European Mathematical Society 

– Mathematical Association of America 

– Society of Industrial and Applied Mathematics 

– Deutsche Mathematiker-Vereinigung 

– Deutsche Physikalische Gesellschaft 

– Mathematische Gesellschaft Hamburg 

– Verein für Talentförderung Mathematik Hamburg 

Michael Joswig 

– Scientific Advisory Board: “Oberwolfach References on Mathematical Software” 

Martin Kiehl 

– Chairman of the supervisory board of: Zentrum für Mathematik, Bensheim 

92 1 Research

Ulrich Kohlenbach 

– President of ‘Deutsche Vereinigung für Mathematische Logik und Grundlagen der 

exakten Wissenschaften (DVMLG)’ (until 2012) 

– Vice President of the Association for Symbolic Logic (ASL), since Jan. 2013 

– Member of Standing Committee ‘Logic in Europe’ of the Association for Symbolic 

Logic (ASL) 

– Member of Executive Committee of the Association for Symbolic Logic (ASL) 

– Speaker of ‘Fachgruppe Logik’ of the DMV (until 2012) 

– Corresponding member of “Wissenschaftliche Gesellschaft an der Johann Wolfgang 

Goethe-Universität Frankfurt am Main” 

– Member of Advisory Board of Springer book series ‘Theory and Applications of Computability 

Theory’ 

Jens Lang 

– Member of board of directors of the research centre Computational Engineering, TU 

Darmstadt, since 2004 

– Member of board of deans of the DFG Graduate School of Excellence, TU Darmstadt, 

since 2008 

– Member of the DFG Cluster of Excellence Smart Interfaces: Understanding and Designing 

Fluid Boundaries, TU Darmstadt, 2008 - 2012 

– Member of the DFG Graduate School of Excellence Energy Science and Engineering, 

TU Darmstadt, since 2012 

Marc Pfetsch 

– Scientific Program Commitee for the CPAIOR 2012 conference, Nantes 

Steffen Roch 

– American Mathematical Society 

– Auswahlausschuss Bundeswettbewerb Mathematik 

Stefan Ulbrich 

– Scientific Program Commitee for the OMS 2012 conference, Chania 

– Scientific Program Commitee for the SIAM OP12 conference, Darmstadt 

– Organizing Commitee for the SIAM OP12 conference, Darmstadt 

– Organizing Commitee for the GAMM 2012 conference, Darmstadt 

– Member of the IFIP Technical Committee TC 7, WG 7.2 “Computational Techniques 

in Distributed Systems”, since 2003 

1.3 Memberships in Scientific Boards and Committees 93

– Member of GAMM Activity Group “Optimization with PDE constraints”, since 2008 

– Member of GAMM Activity Group “Computational Science and Engineering”, since 

2012 

– Member of SIAM Activity Group “Optimization”, since 2003 

Martin Ziegler 

– Speaker of IANUS: Interdisziplinäre Arbeitsgruppe Naturwissenschaft und Sicherheit 

1.4 Awards and Offers 

Awards 

Regina Bruder: Besondere Verdienste in der akademischen Lehre (Vereinigung der Freunde 

der TU Darmstadt e.V.), April 29, 2011 

Pia Domschke: Ruth-Moufang-Price (Fachbereich Mathematik, TU Darmstadt), May 25, 

2011 

Sarah Drewes: Ruth-Moufang-Preis (Fachbereich Mathematik, TU Darmstadt), May 25, 

2011 

Robert Haller-Dintelmann: Sonderpreis für engagierte Lehre des Fachbereichs Mathematik 

Karl Heinrich Hofmann: Elected Fellow of the American Mathematial Society, 2012 

Priska Jahnke: Second award for the best teaching, FU Berlin, July 2011 

Daniel Körnlein: Datenlotsen-Preis 

Ulrich Kohlenbach: Gödel Research Prize Fellowship 2011. 

100,000 EUR 

Personal cash award of 

Burkhard Kümmerer: Athene Preis für Gute Lehre des Fachbereichs Mathematik 2012 

Christian H. Weiß: Young Statistician’s Award of ENBIS, 2011 

Martin Ziegler: Athene Sonderpreis für interdiszplinäre Lehre 

Jan Carsten Ziems: Preis für hervorragende wissenschaftliche Leistungen (Vereinigung 

der Freunde der TU Darmstadt e.V.), April 27, 2012 

Offers of Appointments 

Jan H. Bruinier: Professorship (W3) for Mathematics, Universität Duisburg-Essen 

Priska Jahnke: Akademische Rätin (A13/A14), Universität Augsburg 

Michael Joswig: Professorship (W3), TU Berlin 

94 1 Research

Stefan Ulbrich: Professorship (W3) for Algorithmic Optimization, HU Berlin 

Christian H. Weiß: Professorship (W2), Helmut-Schmidt-Universität, Hamburg 

Irwin Yousept: Professorship (W2, 5 years) for Applied Mathematics , RWTH Aachen 

1.4 Awards and Offers 95

2 Teaching 

Teaching of Mathematics in our department can be divided into three categories: teaching 

in mathematical degree programmes, specific teaching activities for future mathematics 

teachers (in secondary education), and teaching mathematics to students in the sciences 

and engineering subjects (often described as ‘service teaching’). Each of these teaching 

activities has its own characteristics in terms of mathematical content and style as well as 

in terms of specific regulations of corresponding degree schemes. 

2.1 Degree Programmes in Mathematics 

There are currently three mathematics programmes: the Diplom programme in mathematics 

(being discontinued), the Bachelor programme in mathematics (since 2007) and 

the Master programme in mathematics (since 2005). The current Bachelor programme 

incorporates the old Bachelor programme “Mathematics with Computer Science”. The 

following table shows the enrolement numbers over the last 8 years: 

Students in Mathematics programmes 

Programme 2005 2006 2007 2008 2009 2010 2011 2012 

Diplom 750 760 571 443 341 260 151 90 

Bachelor (incl. MCS) 230 207 264 363 502 624 674 629 

Master 1 7 16 25 41 68 141 189 

Teacher (secondary) 213 233 267 297 363 410 417 396 

The sum total of the student numbers in our Diplom, Bachelor and Master programmes remains 

roughly at the same level over the years, but there are some special circumstances to 

explain some of the variations. Among these are the abolishment of student fees (“Studienguthabengesetz”) 

with the beginning of the academic year 2008/09, the nearly two-fold 

increase in students finishing school in Bavaria (2011) and Baden-Württemberg (2012) 

caused by the transition from 13 to 12 school years, the last conscription calls in Germany 

in 2011, and the introduction of an aptitude test (“Eignungsfeststellungsverfahren”) for 

our Bachelor and Teacher programmes from the academic year 2011/12. In 2012, it was 

also decided to discontinue enrolement of beginners in the summer semester, and as of the 

summer of 2013 we do not offer enrolement for freshers in our Bachelor programme in a 

summer semester. 

New enrollments 

Programme 2005 2006 2007 2008 2009 2010 2011 2012 

Diplom 183 194 75 

Bachelor 54 31 114 167 235 277 275 173 

Master 1 6 11 18 22 36 58 68 

Teacher (secondary) 50 59 80 80 104 116 72 55 

Looking at the number of students who turned up for their courses, it seems that the 

introduction of the aptitude test has a stronger effect on our Teaching programme than on 

our Bachelor programmes. We suspect that in both tracks it largely discourages some of 

the more weakly motivated students from applying, and especially those who might not 

have the intention to pursue university studies seriously. 

96 2 Teaching

With the start of the Master programme in mathematics, accredited and started in the year 

2005, and with the Bachelor programme in mathematics, accredited and started in the year 

2007, the department completed the implementation of the Bologna Accord. The new programme 

structure replaces the Diplom programme and incorporates the previous Bachelor 

programme “Mathematics with Computer Science”. With the academic year 2011/12, the 

study regulations for the Bachelor and Master programmes were modified, and the corresponding 

accreditations were successfully renewed until September 30, 2017. Due to the 

interdependencies between our Bachelor programme and our Teaching programme, also 

the study regulations for the latter had to be revised (with effect from the academic year 

2012/13). 

The main aspects in the design of the current programme structure could be described as 

both modern and conservative at the same time. A more detailed look at both programmes 

resolves this apparent contradiction. They combine proven and tested components of the 

Diplom programme with new aspects such as modularization and a credit point system. 

The new programme retains the idea that mathematics should be studied together with a 

minor, which is typically a subject in which mathematics is applied. The standard choice 

of a minor can be one of computer science, economics, physics and chemistry, and further 

subjects are available upon application. If students choose the option “Mathematics with 

Economics” (available both for Bachelor and Master), their minor is a combination of 

economics and computer science. 

The Bachelor programme has a duration of 6 semesters and finishes with a Bachelor thesis 

on a mathematical topic. A unique feature of our Bachelor programme are the optional 

bilingual courses. Both options “Mathematics” (with arbitrary minor) and “Mathematics 

with Economics” can be studied as a bilingual programme since 2009. According to a 

survey during the orientation week in the winter semester 2012/13, about 32 % among 

the 115 Bachelors students interviewed expressed the objective of obtaining the bilingual 

certificate. 

Graduates of the Bachelor programme have the option of taking up a job or continuing 

their studies in a Master programme. This can be the Master programme at our department, 

at a different university or even a Master programme in a different area based on 

their education in mathematics. 

Our Master programme has a duration of 4 semesters. It is centred on two in-depth specializations 

or focus areas within mathematics or, alternatively, one focus area in mathematics 

and one in a cognate subject in which mathematics is applied (such as computer science, 

economics, physics or chemistry). The mathematical specializations (Vertiefungsrichtungen) 

are offered by the research groups in the department. Beside the two focus areas 

(at 18 CP each), there is room for additional courses in mathematics, minors and general 

studies. The topic of the Master thesis is selected in one of the two focus areas; in the case 

of a combination with an extra-mathematical focus area, the topic of the Master thesis may 

be chosen from that other subject but has to be related to mathematics. 

2.1 Degree Programmes in Mathematics 97

Graduates of the Bachelor programme (incl. MCS) 

Term Total Female students Duration ≤ 7 semesters 

Summer 2011 36 17 29 

Winter 2011/12 27 13 20 

Summer 2012 40 9 23 

Graduates of the Master programme 

Term Total Female students Duration ≤ 5 semesters 

Summer 2011 5 3 3 

Winter 2011/12 5 2 3 

Summer 2012 15 3 12 

Graduates in Education for Secondary Schools 

Term Total Female students 

Summer 2011 17 15 

Winter 2011/12 12 8 

International exchange 

Many students choose to study for a year at a university abroad, typically in their third year. 

The department provides general information (online and through an annual information 

event) as well as individual advice for students who plan a year abroad and also maintains 

contacts with various popular destinations abroad. Students who return from a year 

abroad are encouraged to share their experiences through short summaries with informal 

advice on the departmental web pages. Close cooperation between the students and the 

department ensures that students can transfer their credits from abroad into their study 

programme in Darmstadt. This helps to avoid negative effects on the overall duration of 

studies. 

Academic year 04/05 05/06 06/07 07/08 08/09 09/10 10/11 11/12 

Erasmus places 27 34 30 35 35 36 38 49 

Erasmus outgoers 18 21 14 14 15 12 11 20 

Further outgoers 15 12 16 11 13 9 8 13 

Incomers 8 9 8 3 4 3 2 5 

2.2 Teaching for Other Departments 

Students in almost all study programmes of this university have to take at least one course 

in mathematics. The department teaches students in the engineering sciences (mechanical, 

electrical, civil engineering, material sciences), in computer science, the natural sciences 

(chemistry, physics, biology, geology), economics, the liberal arts, social sciences and in 

architecture. 

Service teaching comprises courses of a variety of different formats. There are large lecture 

courses providing a solid foundation in mathematics covering subjects such as basic analysis 

(calculus), differential equations, numerical methods and stochastics. For instance, 

there is a four semester cycle for students of Electrical Engineering, with 4 hours of 

lectures and 2 hours of exercise groups per week. There are also smaller courses, concentrating 

on special areas in mathematics used in particular disciplines, as, for instance, 

our one-semester statistics courses for students in Biology or the social sciences. 

98 2 Teaching

Service courses, no. participants, winter semester 2012/13 

(Source: TUCaN, 13.02.2013.) 

Darstellende Geometrie 583 

Höhere Mathematik I 83 

Mathematik I für Bauwesen 1017 

Mathematik I für Elektrotechnik 713 

Mathematik I für Informatik 604 

Mathematik I für Maschinenbau 797 

Mathematik III für Bauwesen 738 

Mathematik III für Elektrotechnik 582 

Mathematik III für Maschinenbau 981 

Mathematik und Statistik für Biologie 151 

Statistik I für Human- und Sozialwissenschaft 166 

Statistik I für Wirtschaftsingenieurwesen 580 

It is one of the principles of this university that the department of mathematics is responsible 

for the teaching of mathematics across all subjects that require mathematics in their 

education. The importance of this aspect of our teaching activities is also borne out in 

the university’s KIVA initiative, which among other aspects emphasises the critical role of 

mathematics education in the early phases of university studies in the sciences and engineering 

disciplines. Among our efforts to strengthen the basis for this mathematical 

education, the department has set up optional extra learning platforms under the name 

of “Treffpunkte Mathematik”, which serve to give extra support to students in the large 

mainstream mathematics lecture courses. One of the guiding ideas in these activities is the 

attempt to provide auxiliary training and to improve the motivation of students from those 

other subjects through problems that relate mathematics better with themes from the own 

subjects. Participation and student evaluations for these extras show this approach to be a 

success. 

2.3 Characteristics in Teaching 

As in previous years, the efforts of the department of mathematics were rewarded in the 

“CHE-Hochschul Ranking Mathematik”. According to the results published in April 2012, 

the department of mathematics again holds one of the top positions among all universities 

in Germany, with excellent rates especially for “IT infrastructure” (1.6), “scientific publications” 

(1.7) and “research funding”. Good rates were also obtained for “mentoring by 

the lecturers” (1.9) and “overall course situation” (2.0). This success also reflects the emphasis 

on teaching methods at the department of mathematics. Our aim in teaching is to 

encourage and motivate students to actively pursue the understanding of the taught material. 

The learning of mathematics is an intellectual activity equally supported by classroom 

teaching, by individual work and study, and by team work, both with and without direct 

supervision. 

Lectures present mathematical content and methods through personal presentation; the 

systematic development and exposition of the material in the lectures is intended to stimulate 

the students’ mathematical intuition. Lectures are complemented by exercise groups, 

and by additional tutorials during the first year. The time ratio between classroom lectures 

and exercises is 2:1. 

2.3 Characteristics in Teaching 99

In exercise classes, students work on problems and topics from the lecture with the support 

of a tutor and they are encouraged to present and discuss solutions to homework problems. 

Students are also expected to work on weekly sets of homework problems and to 

submit their solutions to their tutors for marking in order to obtain feedback. In 2011/12 

the department has implemented a new format for tutorials in the first year, which are provided 

as an additional learning platform besides exercise groups. Here teaching assistants 

hold classroom sessions devoted to the review of current material from the lecture classes, 

current and past problems from the exercises, further examples, basic problems and illustrations, 

or to filling gaps in students’ basic understanding. Regarded as an optional extra 

rather than as a mandatory part of the course, these tutorials are offered on a weekly alternating 

basis for the two main first-year courses (Analsyis and Linear Algebra). Overall, 

all these activities are meant to support learning and to give students ample opportunity 

to improve and to test their knowledge and understanding. 

Exercise groups and homework activities also form an integral part of most of the more 

advanced lecture courses, including those at Master level. In the course of the reaccreditation 

in 2011/12, the department decided to strengthen the Master programme 

with its rich spectrum of focus areas to choose from, by giving firmer guarantees as to the 

concrete choices of specialization areas that would be available to any cohort of Master 

students in the upcoming three years. The department also committed itself to devote any 

extra teaching capacity that was freed through the termination of freshers’ enrolment in 

the summer semester to a corresponding strengthening of the Master programme. Among 

other changes this has enabled us to allow for a larger number of teaching assistants to 

be employed in exercises for Master level courses. These measures are meant to make our 

Master programme even more competitive through its quality of teaching, greater reliability 

and impressive variety across a considerable breadth of research areas – both to retain 

our own Bachelor students and to attract new Master students from elsewhere. 

Moreover, the department supports students in their learning experience by the following 

measures: 

• the organisation or exercises and tutorials typically lies in the hands of experienced 

teaching assistants 

• newly recruited tutors and student demonstrators undergo a dedicated training programme 

(which serves as an example of good practice in the context of the KIVA 

project, where similar ideas are being tested in other departments’ teaching) 

• exercise groups are limited to a size of 20 students in the first year and 25 students 

from the second year onwards 

• we provide an open learning environment with small learning groups 

• all teaching staff offer weekly consultation hours for individual help and support 

• the department provides altogether 12 student rooms (open access and reserved) 

with about 160 places for students to meet in learning groups, to work on their thesis 

or to prepare for their final exams 

100 2 Teaching

• the Mathematics Learning Center (Lernzentrum Mathematik) is staffed during opening 

hours by an assistant or professor, available to answer questions; in addition 

textbooks and up-to-date material for the current teaching courses are provided 

• there are 32 places for reading and studying in the departmental library (towards 

the end of 2012, this departmental library was incorporated into the new central 

university library) 

• the department has three open access computer labs (with a total of 43 Linux machines) 

and two reserved computer labs (with a total of 15 Linux machines) 

2.4 E-Learning/E-Teaching in Academic Training 

E-Learning is present in the department of mathematics in teaching and research. In 2011- 

2012 our department received around 270,000€ funds from the TU Darmstadt (QSL, elc) 

for E-Learning projects to improve teaching, 150,000€ funds for research projects in the 

field of game based learning and for the evaluation of blended learning courses for active 

teachers in the field of didactics of mathematics. Prof. Dr. Regina Bruder is the reference 

person for E-Learning in our department and she is a member of the scientific advisory 

board of the elc (e-learning center TU Darmstadt). 

Research and research-based development 

An instrument for registering effects of courses from the point of view of participating 

teachers was redeveloped and used in the context of a project funded by the Kultusministerium 

Hessen (Ministry of Education) which evaluated online training courses for 

teachers. 

The research projects TELPS and PEDALE (for more information, see “research projects” 

(Didactics of Mathematics) give students support for their individual assessment. Based 

on the innovation of these two projects, students receive subject-specific, content-based 

digital feedback for their homework. Both projects were also published internationally. 

Further research on Feedback-Based Quality Improvement in E-Learning funded by the 

German Research Foundation (DFG) covering technology enhanced diagnosis and learning 

in mathematics education was started with a DFG-scholarship. Within this work, a 

cooperation with the working group Serious Games at TU Darmstadt was established. 

In the German-Japanese postgraduate programme, “Mathematical Fluid Dynamics” (IRTG 

1529), the weekly seminar presentations were transferred via video to Tokyo (Waseda 

University) so that all participants could benefit from the seminar, regardless of place and 

time. 

In connection with the VEMA project (cooperation between TU Darmstadt (Bruder, 

Bausch), Universität Paderborn (Biehler) and Universität Kassel (Koepf) and Universität 

Lüneburg (Hochmuth), some new E-Learning elements, e.g. for self-regulation in cooperation 

with psychologists (Dr. Bellhäuser) and for training of basic school knowledge in 

mathematics with initial differentiation, were developed for the preparatory math courses 

for new students. 

Since 2009, the preparatory course has been presented online via Moodle each winter 

semester for nearly 800 new students of departments Mathematics, Civil Engineering, 

Mechanical Engineering and Computer Science. 

2.4 E-Learning/E-Teaching in Academic Training 101

http://www3.mathematik.tu-darmstadt.de/fb/mathe/startseite/ 

studienanfaengerinnen-und-anfaenger/mathematikvorkurs.html. 

VEMA project homepage: 

http://www.mathematik.uni-kassel.de/~vorkurs/Willkommen1.html 

E-Learning/E-Teaching 

The majority of all professors are already using digital content in different formats and 

communication via E-Mail or Newsletter. About 90% of all professors use their own websites 

or a Moodle-platform for presenting digital content. An increase of different lecture 

recordings in the last two years took place in mathematics as well: Prof. Jahnke recorded 

her lectures: WS 2011/2012: Math I (Mechanical Engineering), Math III (Civil Engineering) 

SoSe 2012: Math II (Mechanical Engineering) 

WS 2012/2013: Math I (ET), Math III (Civil Engineering) 

The recordings of the lecture were made available in Moodle. The discussion forum was 

also used extensively. 

During the winter semester 2012/2013, grading for tutorials also took place with Moodle 

which helped tutors and lecturers very much. 

Prof. Farwig recorded his lectures Math I and II for ETiT during the winter semester 

2011/2012 and summer semester 2012 with Windows Journal on the laptop. The lectures 

were transmitted with video and audio simultaneously to another lecture hall. During the 

winter semester 2012/2013, the lecture for ETiT was recorded with the professor writing 

on the chalk board. All recordings were made accessible for all students in Moodle. The 

entire technical and software equipment was provided by the elc. 

Prof. Kohler recorded his stochastics lectures again and presented them on the mathematical 

homepage of the elc in the OpenLearnWare section. 

Dr. Gunesch recorded his lecture Differential Geometry when working on the chalk board 

(WS 2012/2013) and presented his experience on the khdm-conference 2013 in Paderborn. 

In some courses E-Learning elements are also just being tried out: During the lecture “Formal 

Foundations of Computer Science I+II” in the summer semester with 450 students, 

Prof. Ziegler also did a mini quiz online in addition to the weekly exercises at home and 

in class where the answers could be found by looking into the script. An online discussion 

forum was also used: 

http://www3.mathematik.tu-darmstadt.de/evs/947 

This resulted in a higher level of preparation when students went to the exercises. 

The acquisition of software skills in special mathematical tools in the study of mathematics 

has been taken for granted for several years. The research group Numerical Analysis and 

Scientific Computing supports these aims with an attractive proposal: 

http://numawww.mathematik.tu-darmstadt.de/, (see also Software, numawww). 

dikopost: Digital Competence Portfolio for Students 

From 2010 to 2013, the dikopost project was launched with Prof. Regina Bruder as head 

and under the leadership of the Center for Teacher Education (ZfL). It is a project to 

support academic teaching and learning using digital portfolios. One of its aims is to 

102 2 Teaching

present a platform for all students studying at the TU Darmstadt, while emphasising the 

importance of E-Portfolio use for students studying to become a teacher. For dikopost 

Mahara is the used platform, which will also work well with Moodle in the future. The 

pilot project runs for two years on QSL funds with a budget of 250,000 € and will be 

implemented in the elc and HDA for sustainable use. For this purpose, the project was 

extended for another year with corresponding funding. 

In December 2010, there were more than 300 registered users who used the E-Portfolio 

in courses or on their own. In January 2013, 1290 users were registered. This winter 

semester, 27 courses are using a digital portfolio. As of March 2013, more than 780 tests 

or oral examinations based on E-portfolios taken by students. Several international and 

national publications explain the design and show effects of the project dikopost. 

The goal of dikopost is to develop course concepts where the use of an E-Portfolio helps 

students to learn, reflect and showcase their competences and learning outcomes. 

More information can be found here: 

http://www.zfl.tu-darmstadt.de/dikopost_projekt/dikopost_begruessung.de.jsp 

The current link to Mahara can be found here: 

http://wwwdid.mathematik.tu-darmstadt.de/mahara/artefact/internal/ 

Blended learning for further training 

The use of blended learning concepts is an important trend in further training for teachers. 

Based on the results of research projects, five online programmes as half-year-courses 

for further education were presented on the learning platform "MOODLE" http://www. 

prolehre.de. About 50 teachers got a certificate for their course in 2011 and 2012. 

For additional support, http://www.madaba.de a database for exercises with about 50 

new tasks and http://www.problemloesenlernen.de a platform for authentic materials, 

and an interchange of experience of teachers were developed and used. There are about 

2000 active users on the platform madaba. 

2.5 Student Body (Fachschaft) 

Officially, the students at the department of mathematics are represented by the five people 

forming the “Fachschaftsrat”. This board is elected once a year during the university 

elections. However, since there usually is more work to be done than five people can 

handle, there are many more students participating actively in the Students’ Union. Moreover, 

some of them are members of university-wide committees such as the Senate or the 

University Assembly. 

We, the Students’ Union, regard ourselves as representatives inside and outside the maths 

department for all math students. As such, all students are invited to talk to us in order to 

tell us about problems or suggestions they might have. Furthermore, we organise a lot of 

orientation events for students and secondary school students throughout the year. Finally, 

a student’s life does not only consist of attending lectures and exercises, so we additionally 

offer some extra-curricular activities. 

As part of our activities we appoint the student representatives in the committees of the 

department. Some of us are members of the “Fachbereichsrat” (another important board 

consisting of professors, assistants and students, elected during the university elections) 

and its committees, like the committee for learning and studying, the library committee 

2.5 Student Body (Fachschaft) 103

and many more. The evaluation and quality control of teaching done at the department 

are two of our main objectives. We think that it is essential to hear and consider students’ 

opinions regarding these areas because they are the ones directly affected. We also support 

the improvement and development of courses and studying in general, a point which every 

student should be concerned about naturally. We are working on those subjects together 

with Students’ Unions from other departments and with the university administration. 

Concerning orientation events, we organise the orientation week for the first semester 

students, which takes place at the beginning of each semester. During the semester, there 

is an orientation colloquium for the students in their first two years, which is meant to 

give them an impression of what the work in the research groups usually is about (meant 

to support the decision on a thesis subject). After finishing their first two years, students 

attend another orientation event, the "Introduction to Advanced Studies" (Einführung ins 

Hauptstudium), giving them more information about the research groups, the relevant 

regulations and much more. 

Not all of these events take place in the maths department. University-wide orientation 

events for secondary school students are also part of our work. There we cooperate with 

the student counsellors. 

However, not all our activities concern purely study-related topics. The organisation of 

games evenings, music evenings, as well as the traditional Christmas party of the department 

are examples of what we do to help students socialize among themselves. 

We hope that this rather brief introduction helps give an impression of our work. 

104 2 Teaching

3 Publications 

3.1 Co-Editors of Publications 

3.1.1 Editors of Journals 


– Mathematical Methods in the Applied Sciences (Member of the editorial board) 

– Asymptotic Analysis (Member of the editorial board) 

– Demonstratio Mathematica (Member of the editorial board) 

– Journal of Multiscale Modelling (Member of the editorial board) 

Dieter Bothe 

– International Journal of Multiphase Flows (Editorial Advisory Board) 

– Nonlinear Analysis: Real World Applications (Editorial Board) 

Regina Bruder 

– mathematik lehren (Associate Editor) 


– Forum Mathematicum (Editor) 

– Annali dell’Università di Ferrara (Editor) 


– Annali dell’Università di Ferrara, Sez. VII., Sci. Mat. (Editorial Board) 

– Mathematica Bohemica (Editorial Board) 

Matthias Hieber 

– Journal Mathematical Fluid Mechanics (Editor) 

– Advances Differential Equations (Editor) 

– Evolution Equations and Control Theory (Editor) 

Karl Heinrich Hofmann 

– Journal of Lie Theory (Editor and Journal Secretary) 

– Semigroup Forum (Honorary Editor) 


– Advances in Geometry (Member of the Editorial Board) 

– Beiträge zur Algebra und Geometrie (Member of the Editorial Board) 

3 Publications 105

– Electronic Geometry Models (Managing Editor) 

Klaus Keimel 

– Order (Associate Editor) 

– Beiträge zur Algebra und Geometrie (Associate Editor) 


– Annals of Pure and Applied Logic (Coordinating Editor) 

– Notre Dame Journal of Formal Logic (Associate Editor) 

– Mathematical Logic Quarterly (Associate Editor) 

– Computability (Associate Editor) 

Michael Kohler 

– AStA Advances in Statistical Analysis (Associate Editor) 

Jens Lang 

– Applied Numerical Mathematics (Editor) 

Martin Otto 

– The Bulletin of Symbolic Logic (Editor) 

Ulrich Reif 

– Journal of Approximation Theory (Associate Editor) 

– Computer Aided Geometric Design (Associate Editor) 

Werner Schindler 

– Journal of Cryptographic Engineering (Associate Editor) 

Thomas Streicher 

– Applied Categorical Structures (Associate Editor) 


– Journal of Optimization Theory and Applications (Associate Editor) 

– Optimization Methods and Software (Regional Editor Europe) 

– SIAM Journal on Optimization (Associate Editor) 

– Asymptotic Analysis (Associate Editor) 

106 3 Publications

3.1.2 Editors of Proceedings 


– Themenheft: Mathematical problems in solid mechanics. GAMM-Mitteilungen 34,1 

(2011), 8-139 (jointly with P. Neff) 

– Proceedings of Applied Mathematics and Mechanics (PAMM) 12,1 (2012), 1-834 

(jointly with N. Kraynyukova, C. Tropea) 


– Proceedings of Conference at CIRM, Luminy, May 2011 (jointly with Jiri Neustupa 

(Prague), Patrick Penel (Toulon)) 

Martin Kiehl 

– Proceedings on Mathematische Modellierung mit Schülern – Die Projekte der Modellierungswoche, 

9.-14.10.2011, Weilburg 

– Proceedings on Mathematische Modellierung mit Schülern – Die Projekte der Modellierungswoche, 

14.-19.10.2012, Fuldatal 


– Proceedings of Logic Colloquium 2007, Cambridge University Press 2010 (jointly with 

F. Delon, P. Maddy, F. Stephan) 

– Proceedings of Logic Colloquium 2011, to appear as special issue of APAL (jointly with 

K. Ambos-Spies, J. Bagaria, E. Casanovas) 


– Constructive Side-Channel Analysis and Secure Design - COSADE 2012, Springer (jointly 

with Sorin Huss) 

3.1.3 Editors of a Festschrift 


– Parabolic Problems: The Herbert Amann Festschrift, 2011 (jointly with Joachim Escher, 

Patrick Guidotti, Piotr Mucha, Jan W. Prüss, Yoshihiro Shibata, Gieri Simonett, 

Christoph Walker and Wojciech Zajaczkowski) 


– Constrained Optimization and Optimal Control for Partial Differential Equations, 

Birkhäuser Verlag, 2012 (jointly with S. Engell, A. Griewank, M. Hinze, G. Leugering, 

R. Rannacher, V. Schulz, M. Ulbrich) 

3.1 Co-Editors of Publications 107

3.2 Monographs and Books 

[1] W. Arendt, C. Batty, M. Hieber, and F. Neubrander. Vector-valued Laplace transforms 

and Cauchy problems, 2nd edition. Birkhäuser/Springer Basel, 2011. 

[2] R. Bruder and W. Weiskirch. CAliMERO - Computer-Algebra im Mathematikunterricht. 

Band 7: Methodische und didaktische Handreichung. 




Band 9: Arbeitsmaterialien für Schülerinnen und Schüler. 



[6] K. H. Hofmann and S. A. Morris. The Structure of Compact Groups, 3rd Revised and 

Augmented Edition. Walter DeGruyter, Berlin, 2013. 

[7] M. Joswig and T. Theobald. Polyhedral and algebraic methods in algorithmic geometry. 


[8] J. Lőrinczi, F. Hiroshima, and V. Betz. Feynman-Kac-Type Theorems and Gibbs Measures 

on Path Space. de Gruyter, 2011. 

[9] U. Lorenz, T. Ederer, C. Juretzka, T. Opfer, M. Utz, and S. Weber. Maple: Eine Einführung 

in das Computer-Algebra-System. RRZN, 2011. 

[10] A. Martin, K. Klamroth, J. Lang, G. Leugering, A. Morsi, M. Oberlack, M. Ostrowski, 

and R. Rosen. Mathematical Optimization of Water Networks, volume 162 of International 

Series of Numerical Mathematics. Birkhäuser, 2012. 

[11] S. Roch, P. Santos, and B. Silbermann. Non-commutative Gelfand Theories. A Tool-kit 

for Operator Theorists and Numerical Analysts. Springer, 2011. 

[12] M. Ulbrich and S. Ulbrich. Nichtlineare Optimierung. Mathematik Kompakt. 


[13] C. H. Weiß. Mathematica – Eine Einführung. RRZN Hannover, 2011. 

3.3 Publications in Journals and Proceedings 

3.3.1 Journals 

[1] E. Abele, M. Haydn, T. Hauer, U. Lorenz, and T. Ederer. Unsicherheitsoptimierte 

Prozesskette bei der Bohrungsfeinbearbeitung. wt Werkstatttechnik online, 

101:730–736, 2011. 

[2] H.-D. Alber. A model for brittle fracture based on the hybrid phase field model. 

Continuum Mechanics and Thermodynamics, 24,4:391–402, 2012. 

[3] H.-D. Alber and N. Kraynyukova. A doubly nonlinear problem associated with 

a mathematical model for piezoelectric material behavior. ZAMM, 92,2:141–159, 

2012. 

108 3 Publications

[4] H.-D. Alber and P. Zhu. Interface motion by interface diffusion driven by bulk energy: 

justification of a diffusive interface model. Continuum Mechanics and Thermodynamics, 

23,2:139–176, 2011. 

[5] H.-D. Alber and P. Zhu. Solutions to a model with Neumann boundary conditions for 

phase transitions driven by configurational forces. Nonlinear Analysis: Real World 

Applications, 12,3:1797–1809, 2011. 

[6] H.-D. Alber and P. Zhu. Comparison of a rapidely converging phase field model for 

interfaces in solids with the Allen-Cahn model. Journal of Elasticity, 2012. 

[7] C. Albert, H. Raach, and D. Bothe. Influence of surface tension models on the hydrodynamics 

of wavy laminar falling films in volume of fluid-simulations. International 

Journal of Multiphase Flow, pages 66–71, 2012. 

[8] C. Alfes. Parity of the coefficients of Klein’s j-function. Proc. Amer. Math. Soc., 

accepted. 

[9] C. Alfes, K. Bringmann, and J. Lovejoy. Automorphic properties of generating functions 

for generalized odd rank moments and odd Durfee symbols. Math. Proc. Cambridge 

Philos. Soc., 151(3):385–406, 2011. 

[10] C. Alfes and T. Creutzig. The mock modular data of a family of superalgebras. Proc. 

Amer. Math. Soc., accepted. 

[11] C. Alfes and S. Ehlen. Twisted traces of CM values of weak Maass form. J. Number 

Theory, accepted. 

[12] C. Alfes, M. Jameson, and R. J. Lemke Oliver. Proof of the Andrews-Alder Conjecture. 

Proc. Amer. Math. Soc., 139(1):63–78, 2011. 

[13] F. Ali Mehmeti, R. Haller-Dintelmann, and V. Régnier. Multiple tunnel effect for 

dispersive waves on a star-shaped network: an explicit formula for the spectral 

representation. J. Evol. Equ., 12(3):513–545, 2012. 

[14] M. Allman, V. Betz, and M. Hairer. A chain of interacting particles under strain. 

Stoch. Proc. Appl., 121:2014–2042, 2011. 

[15] V. Andasari, A. Gerisch, G. Lolas, A. P. South, and M. A. J. Chaplain. Mathematical 

modeling of cancer cell invasion of tissue: biological insight from mathematical 

analysis and computational simulation. J. Math. Biol., 63:141–171, 2011. 

[16] J. Avemann, S. O. Schmitt, T. Ederer, U. Lorenz, and P. Groche. Analysis of market 

demand parameters for the evaluation of flexibility in forming technology. Enabling 

Manufacturing Competitiveness and Economic Sustainability, pages 458–463, 2011. 

[17] S. Ballweg, N. Scholz, K. Richter, and R. Bruder. Schreibend lehren lernen. Bräuer, 

G. and Schindler, K. (Hrsg.): Schreibarrangements in Schule, Hochschule, Beruf. 

Freiburg im Breisgau: Fillibach, pages 188–204, 2011. 

[18] R. Bartsch and H. Poppe. Compactness in function spaces with splitting topologies. 

Rostocker Math. Kolloq., 66:69–73, 2011. 

[19] B. Baumeister, C. Haase, B. Nill, and A. Paffenholz. Polytopes associated to dihedral 

groups. Ars Math. Cont., 7(1), 2014. arxiv:1212.4442. 

[20] M. Berezhnyi. Discrete model of the nonsymmetric theory of elasticity. Ukrainian 

Mathematical Journal, 63:891–913, 2011. 

[21] M. Berezhnyi and E. Khruslov. Non-standard dynamics of elastic composites. NHM, 

Networks and Heterogeneous Media, 6:89–109, 2011. 

3.3 Publications in Journals and Proceedings 109

[22] M. Berezhnyi and E. Khruslov. Asymmetric hydrodynamics of suspensions subjected 

to the influence of strong external magnetic fields. JMM, Journal of Multiscale Modeling, 

4:24–45, 2012. 

[23] A. Berger, R. Hoffmann, U. Lorenz, and S. Stiller. Online railway delay management: 

Hardness, simulation and computation. Simulation, 87(7):616–629, 2011. 

[24] S. Bernstein, S. Ebert, and R. Kraußhar. On the diffusion equation and diffusion 

wavelets on flat cylinders and the n-torus. Math. Meth. Appl. Sci., 34:428–441, 

2011. 

[25] V. Betz and D. Castrigiano. Effective density of states for a quantum oscillator coupled 

to a photon field. Commun. Math. Phys., 301:811–839, 2011. 

[26] V. Betz, V. Gelfreich, and F. Theil. Oscillatory sums. The mathematical Intelligencer, 

33:110–114, 2011. 

[27] V. Betz and B. Goddard. Non-adiabatic transitions through tilted avoided crossings. 

SIAM Journal of Scientific computing, 33:2247–2267, 2011. 

[28] V. Betz and D. Ueltschi. Spatial random permutations and poisson-dirichlet law of 

cycle lengths. Electronic Journal of Probability, 16:41, 2011. 

[29] V. Betz and D. Ueltschi. Spatial random permutations with small cycle weights. 

Probab. Th. Rel. Fields, 149:191–222, 2011. 

[30] V. Betz, D. Ueltschi, and Y. Velenik. Random permutations with cycle weights. Ann. 

Appl. Probab., 21:312–331, 2011. 

[31] A. Blumensath. An Algebraic Proof of Rabin’s Tree Theorem. Theoretical Computer 

Science. to appear. 

[32] A. Blumensath. Recognisability for algebras of infinite trees. Theoretical Computer 

Science, 412:3463–3486, 2011. 

[33] A. Blumensath. Simple Monadic Theories and Indiscernibles. Mathematical Logic 

Quarterly, 57:65–87, 2011. 

[34] A. Blumensath. Simple Monadic Theories and Partition Width. Mathematical Logic 

Quarterly, 57:409–431, 2011. 

[35] A. Blumensath. Locality and modular Ehrenfeucht-Fraisse games. Journal of Applied 

Logic, 10:144–162, 2012. 

[36] R. Bödi, K. Herr, and M. Joswig. Algorithms for highly symmetric linear and integer 

programs. Math. Programming, Series A, 137:65–90, 2013. 

[37] J. Bokowski, J. Bracho, and R. Strausz. Carathéodory-type Theorems à la Bárány. 

Discrete & Computational Geometry, 45(2):261–271, 2011. 

[38] J. Bokowski and H. Macha. Möbius Strip Segmented into Flat Trapezoids: Design- 

Build Project by the Departments of Architecture and Mathematics of the Technische 

Universität Darmstadt. Nexus Network Journal, Architecture and Mathematics, 

14(1):109–118, 2012. 

[39] J. Bokowski and V. Pilaud. Enumerating topological (n k )-configurations. Computational 

Geometry, Theory and Applications. To appear. 

[40] J. Bokowski and L. Schewe. On the finite set of missing geometric configurations 

(n 4 ). Comput. Geom., 46(5):532–540, 2013. 

[41] J. Bokowski and E. Staffetti. Checking Oriented Matroid Isomorphism by means of 

Canonical Labeling. Discrete Applied Mathematics. To appear. 

110 3 Publications

[42] J. Bokowski and R. Strausz. A manifold associated to a topological (n k )- 

configuration. Ars Mathematica Contemporanea. To appear. 

[43] R. Borndörfer, M. Karbstein, and M. E. Pfetsch. Models for fare planning in public 

transport. Discrete Appl. Math., 160(18):2591–2605, 2012. 

[44] R. Borndörfer, M. Karbstein, and M. E. Pfetsch. The Steiner connectivity problem. 

Mathematical Programming, 2012. To appear. 

[45] D. Bothe. Mathematical modeling and direct numerical simulation of transport 

processes at fluidic interfaces. Chemical Engineering of Japan, 76(6):320–325, 2012. 

[46] D. Bothe, M. Kröger, and H.-J. Warnecke. A vof-based conservative method for the 

simulation of reactive mass transfer from rising bubbles. Fluid Dynamics & Materials 

Processing, 7(3):303–316, 2011. 

[47] D. Bothe, A. Lojewski, and H. J. Warnecke. Fully resolved numerical simulation 

of reactive mixing in a t-shaped micromixer using parabolized species equations. 

Chemical Engineering Science, 66(24):6424–6440, 2011. 

[48] D. Bothe and M. Pierre. The instantaneous limit for reaction-diffusion systems with 

a fast irreversible reaction. Discrete and Continuous Dynamical Systems Series S, 

5(1):49–59, 2012. 

[49] D. Bothe, M. Pierre, and G. Rolland. Cross-diffusion limit for a reaction-diffusion 

system with fast reversible reaction. Comm. PDE, 37(11):1940–1966, 2012. 

[50] D. Bothe and P. Wittbold. Abstract reaction-diffusion systems with m-completely 

accretive diffusion operators and measurable reaction rates. Communications on 

Pure and Applied Analysis, 11(6):2239–2260, 2012. 

[51] M. Braack, J. Lang, and N. Taschenberger. Stabilized finite elements for transient 

flow problems on varying spatial meshes. Computer Methods in Applied Mechanics 

and Engineering, 253:106–116, 2012. 

[52] R. Bruder and A. Büchter. Beurteilen und Bewerten im Mathematikunterricht. mathematik 

lehren, 170:2–8, 2012. 

[53] R. Bruder and G. Pinkernell. Die richtigen Argumente finden. mathematik lehren, 

168:2–7, 2011. 

[54] J. H. Bruinier. Regularized theta lifts for orthogonal groups over totally real fields. 

Journal für die reine und die angewandte Mathematik, 672:177–222, 2012. 

[55] J. H. Bruinier. Harmonic Maass forms and periods. Mathematische Annalen, accepted 

for publication. 

[56] J. H. Bruinier, S. S. Kudla, and T. Yang. Special values of Green functions at big CM 

points. International Mathematics Research Notices, 2012:9:1917–1967, 2012. 

[57] J. H. Bruinier and F. Strömberg. Computation of harmonic weak Maass forms. 

Experimental Mathematics, 21:2:117–131, 2012. 

[58] D. Clever and J. Lang. Optimal control of radiative heat transfer in glass cooling 

with restrictions on the temperature gradient. Optimal Control Applications and 

Methods, 33(2):157–175, 2012. 

[59] D. Clever, J. Lang, and D. Schröder. Model hierarchy based optimal control of 

radiative heat transfer. Accepted to International Journal of Computational Science 

and Engineering, 2012. 


[60] D. Clever, J. Lang, S. Ulbrich, and J. C. Ziems. Generalized multilevel SQPmethods 

for PDAE-constrained optimization based on space-time adaptive PDAE 

solvers. Constrained Optimization and Optimal Control for Partial Differential Equations, 

160:37–60, 2012. 

[61] D. Constales, R. De Almeida, and R. Kraußhar. Fundamentals of a generalized 

Wiman-Valiron theory for solutions to the Dirac-Hodge equation on upper half-space 

of n+1 . J. Anal. Appl., 378:238–251, 2011. 

[62] D. Constales, N. Faustino, and R. Kraußhar. Fock spaces, Landau operators and 

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[63] D. Constales, R. Kraußhar, and J. Ryan. Hyperbolic Dirac and Laplace Operators on 

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[68] L. Devroye, T. Felber, M. Kohler, and A. Krzyzak. L1-consistent estimation of the 

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[69] A. Dochtermann, M. Joswig, and R. Sanyal. Tropical types and associated cellular 

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[73] H. Egger and M. Schlottbom. A mixed variational framework for the radiative transfer 

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[75] H. Egger and C. Waluga. A hybrid mortar method for incompressible flow. IJNAM, 

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[78] D. Fang, M. Hieber, and T. Zhang. Density-dependent incompressible viscous fluid 

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[79] D. Fang, M. Hieber, and R. Zi. Global existence results for oldroyd-b fluids in exterior 

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[82] R. Farwig and T. Hishida. Asymptotic profile of steady Stokes flow around a rotating 

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[84] R. Farwig and C. Komo. Optimal initial value conditions for strong solutions of the 

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[87] R. Farwig and H. Morimoto. Leray’s inequality for fluid flow in symmetric multiconnected 

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[88] R. Farwig, S. Necasova, and J. Neustupa. Spectral analysis of a Stokes-type operator 

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[89] R. Farwig, H. Sohr, and W. Varnhorn. Necessary and sufficient conditions on local 

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[91] R. Farwig and Y. Taniuchi. On the uniqueness of almost periodic-in-time solutions 

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[92] M. Fedel, K. Keimel, F. Montagna, and W. Roth. Imprecise probabilities, bets, and 

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[93] A. Fischer and J. Saal. On instability of the Ekman spiral. Discrete Contin. Dyn. Syst. 

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[94] C. Focke and D. Bothe. Computational analysis of binary collisions of shear-thinning 

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[97] W. Freyn. Kac-Moody Groups, Infinite Dimensional Differential Geometry and 

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[98] A. Fromkorth and M. Kohler. Analysis of least squares regression estimates in case 

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[99] T. Gärtner and M. Ziegler. Real analytic machines and degrees. Logical Methods in 

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[100] J. Gaspar. Negative translations not intuitionistically equivalent to the usual ones. 

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[101] M. Geissert, D. Götz, and M. Nesensohn. L p -theory for a generalized nonlinear 

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[108] J. Goubault-Larrecq and K. Keimel. Choquet-Kendall-Matheron theorems for non- 

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[109] V. Gregoriades. The descriptive set-theoretic complexity of the set of points of continuity 

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[110] V. Gregoriades. Turning borel sets into clopen sets effectively. Fund. Math., 

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[111] Q. Grimal, K. Raum, A. Gerisch, and P. Laugier. A determination of the minimum 

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[112] D. Grob and R. Kraußhar. The Szegö metric associated to Hardy spaces of Clifford 

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[114] P. Groche, M. Kraft, S. O. Schmitt, S. Calmano, U. Lorenz, and T. Ederer. Control 

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[119] S. Hernández, K. H. Hofmann, and S. A. Morris. The weight of closed subgroups of 

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[120] S. Herrmann, M. Joswig, and M. E. Pfetsch. Computing the bounded subcomplex 

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[123] W. Hess and S. Ulbrich. An inexact l 1 penalty SQP algorithm for PDE-constrained 

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[124] M. Hieber. Remarks on the theory of oldroyd-b fluids in exterior domains. Discrete 

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[127] M. Hieber and W. Stannat. Stochastic stability of the ekman spiral. Ann. Sc. Norm. 

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[128] K. H. Hofmann. The Dauns-Hofmann theorem revisited. Journal of Algebra and its 

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[129] K. H. Hofmann and K. Keimel. A mathematician’s view of an Italian 15th century 

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[130] K. H. Hofmann and J. Martin. Topological left-loops. Topology Proceedings, 39:185– 

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[131] K. H. Hofmann and M. W. Mislove. Compact affine monoids, harmonic analysis, and 

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[132] K. H. Hofmann and S. A. Morris. Local splitting of locally compact groups and 

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[135] K. H. Hofmann and F. G. Russo. Near abelian profinite groups. Forum Mathematicum. 

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[137] K. H. Hofmann and F. G. Russo. The probability that x and y commute in a compact 

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[138] P. Jahnke, T. Peternell, and I. Radloff. Threefolds with big and nef anticanonical 

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[139] P. Jahnke and I. Radloff. Semistability of restricted tangent bundles. Int. J. of Math. 

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[140] P. Jahnke and I. Radloff. Splitting submanifolds of fake elliptic curves. Sci. China 

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[141] P. Jahnke and I. Radloff. Terminal fano threefolds and their smoothings. Math. Z., 

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[142] M. Joswig and T. Rörig. Polytope mit vielen Splits und ihre Sekundärfächer. Math. 

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[143] M. Kaip and J. Saal. The permanence of -boundedness under interpolation an 

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[144] K. Keimel. Locally convex cones and the Schröder–Simpson theorem. Quaestiones 

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[145] K. Keimel and J. D. Lawson. Extending algebraic operations to d-completions. Theoretical 

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[146] K. Keimel, A. P. Rosenbusch, and T. Streicher. Relating direct and predicate transformer 

partial correctness semantics for a probabilistic-nondeterministic language. 

Theoretical Computer Science, 412:2701–2713, 2011. 

[147] M. A. A. Khan and U. Kohlenbach. Bounds on Kuhfittig’s iteration schema in uniformly 

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[148] E. Kieronski and M. Otto. Small substructures and decidability issues for first-order 

logic with two variables. Journal of Symbolic Logic, 77:729–765, 2012. 

[149] U. Kohlenbach. A note on the monotone functional interpretation. Mathematical 

Logic Quarterly, 57:611–614, 2011. 

[150] U. Kohlenbach. On quantitative versions of theorems due to F.E. Browder and R. 

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[151] U. Kohlenbach. On the asymptotic behavior of odd operators. Journal of Mathematical 

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[152] U. Kohlenbach. Gödel functional interpretation and weak compactness. Annals of 

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[153] U. Kohlenbach. A uniform quantitative form of sequential weak compactness and 

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[154] U. Kohlenbach and L. Leu¸stean. Effective metastability for Halpern iterates in 

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[155] U. Kohlenbach and L. Leu¸stean. On the computational content of convergence 

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[156] M. Kohler, D. Jones, and H. Walk. Weakly universally consistent forecasting of stationary 

and ergodic time series. IEEE Transcations on Information Theory, 58:1191– 

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[157] M. Kohler and A. Krzyzak. Nonparametric estimation of non-stationary velocity 

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[158] M. Kohler and A. Krzyzak. Pricing of american options in discrete time using least 

squares estimates with complexity penalties. Journal of Statistical Planning and 

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[159] M. Kohler, A. Krzyzak, and H. Walk. Estimation of the essential supremum of a 

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[160] M. Kohler and J. Mehnert. Analysis of the rate of convergence of least squares neural 

network regression estimates in case of measurement errors. Neural Networks, 

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[161] D. Körnlein and U. Kohlenbach. Effective rates of convergence for Lipschitzian pseudocontractive 

mappings in general Banach spaces. Nonlinear Analysis, 74:5253– 

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[162] R. Kraußhar. The Helmholtz operator on higher dimensional Möbius strips. Advances 

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[163] R. Kraußhar and N. Vieira. The Schrödinger equation on cylinders and the n-torus. 

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[164] A. P. Kreuzer. The cohesive principle and the Bolzano-Weierstraß principle. Math. 

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[165] A. P. Kreuzer. A logical analysis of the generalized Banach contractions principle. J. 

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[166] A. P. Kreuzer. Non-principal ultrafilters, program extraction and higher order reverse 

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[167] A. P. Kreuzer. On the strength of weak compactness. Computability, 1:171–179, 

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[168] A. P. Kreuzer. Primitive recursion and the chain antichain principle. Notre Dame J. 

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[169] A. P. Kreuzer and U. Kohlenbach. Term extraction and Ramsey’s theorem for pairs. 

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[170] U. D. Kück, M. Kröger, M. Schlüter, N. Räbiger, D. Bothe, and H.-J. Warnecke. 

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[171] B. Kümmerer. Wenn Du wenig Zeit hast, nimm’ dir viel davon am Anfang: Ein 

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[172] S. Le Roux. Infinite nash equilibrium. Logical Methods in Computer Science. To 

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[173] N. Lehmann and U. Reif. Notes on the curvature tensor. Graphical Models, 74:321– 

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[174] P. Lietz and T. Streicher. Realizability models refuting ishihara’s boundedness principle. 

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[175] M. Lindner and S. Roch. On the integer points in a lattice polytope: n-fold 

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[177] A. R. Linshaw. Chiral equivariant cohomology of a point: a first look. Communications 

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[178] A. R. Linshaw. Invariant theory and the 1+∞ algebra with negative integral central 

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[179] A. R. Linshaw. Invariant theory and the heisenberg vertex algebra. International 

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[180] A. R. Linshaw. Invariant subalgebras of affine vertex algebras. Advances in Mathematics, 

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[181] C. Ma and D. Bothe. Direct numerical simulation of thermocapillary flow based on 

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[182] C. Ma and D. Bothe. Numerical modeling of thermocapillary two-phase flows using 

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[183] L. Mosch, S. Adolph, R. Betz, J. Eckhardt, A. Tizi, J. Mathias, A. Bohn, K. Habermehl, 

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[186] B. Nill and A. Paffenholz. Examples of Kähler-Einstein toric Fano manifolds associated 

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[188] M. Otto. Expressive completeness through logically tractable models. Annals of Pure 

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[189] V. Peiffer, A. Gerisch, D. Vandepitte, H. Van Oosterwyck, and L. Geris. A hybrid 

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[190] J. Prüß, J. Saal, and G. Simonett. Singular limits for the Stefan problem. Discrete 

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[191] V. Rabinovich and S. Roch. Exponential estimates of solutions of pseudodifferential 

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[194] R. Racke and J. Saal. Hyperbolic Navier-Stokes equations I: local well-posedness. 

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[196] K. Raum, Q. Grimal, P. Laugier, and A. Gerisch. Multiscale structure-functional 

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[197] U. Reif. Polynomial approximation on domains bounded by diffeomorphic images 

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[198] B. Reus and T. Streicher. A synthetic theory of sequential domains. Annals of Pure 

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[199] S. Roch. Spatial discretization of restricted group C ∗ -algebras. Operators Matrices, 

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[200] S. Roch and B. Silbermann. A handy formula for the Fredholm index of Toeplitz 

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[201] D. Rohrbach, S. Lakshmanan, F. Peyrin, M. Langer, A. Gerisch, Q. Grimal, P. Laugier, 

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[202] R. Roth and S. Ulbrich. A discrete adjoint approach for the optimization of unsteady 

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[203] M. Saba, M. Thiel, M. D. Turner, S. T. Hyde, M. Gu, K. Grosse-Brauckmann, D. N. Neshev, 

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[205] K. Schade and U. Kohlenbach. Effective metastability for modified halpern iterations 

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[206] B. Schieche and J. Lang. Uncertainty quantification for thermo-convective poiseuille 

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[207] N. Scholz, I. Menhard, and R. Bruder. Studierendensicht zum digitalen Kompetenzportfolio 

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[209] A. Sichau and S. Ulbrich. A Second Order Approximation Technique for Robust 

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[210] A. Simpson and T. Streicher. Constructive toposes with countable sums as models 

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[211] F. Tröltzsch and I. Yousept. PDE-constrained optimization of time-dependent 3D 

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Statistical Planning and Inference, 141(8):2849–2862, 2011. 

[216] C. H. Weiß. Rule Generation for Categorical Time Series with Markov Assumptions. 

Statistics and Computing, 21(1):1–16, 2011. 

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[92] S. Ullmann, S. Löbig, and J. Lang. Adaptive large eddy simulation and reducedorder 

modeling. In J. Janicka, A. Sadiki, M. Schäfer, and C. Heeger, editors, Flow and 

Combustion in Advanced Gas Turbine Combustors, pages 349–378. Springer, 2013. 

[93] C. Waluga and H. Egger. An implementation of hybrid discontinuous Galerkin methods 

in DUNE. In A. Dedner, B. Flemisch, and R. Klöfkorn, editors, Advances in DUNE. 


[94] C. H. Weiß. The Markov Chain Approach for Performance Evaluation of Control 

Charts — A Tutorial. In S. P. Werther, editor, Process Control: Problems, Techniques 

and Applications, pages 205–228. Nova Science Publishers, Inc., 2011. 

[95] O. Weitzmann, A. Schüle, T. Rollmann, R. Anderl, and T. Göllner. An object-oriented 

information model for the representation of free form sheet metal parts in integral 

style. Tools and Methods of Competitive Engineering, pages 725–738, 2012. 

3.4 Preprints 

[1] K. Abe, Y. Giga, and M. Hieber. Stokes resolvent estimates for bounded functions. 

Preprint, 2012. 

[2] C. Albert, D. Bothe, and A. Tezuka. Global linear stability analysis of falling films 

with in- and outlet. Preprint, TU Darmstadt and WASEDA University, 2012. 

[3] T. Alex and K. Große-Brauckmann. On the half-space theorem for minimal surfaces 

in Heisenberg space. Preprint, TU Darmstadt, 2012. 

[4] C. Alfes. Formulas for the coefficients of half-integral weight harmonic Maass forms. 


[5] A. Ali and D. Bothe. A graph-theoretical approach for the computation of connected 

iso-surfaces based on volumetric data. Preprint, TU Darmstadt, 2012. 

[6] S. Arridge, H. Egger, and M. Schlottbom. Preconditioning of complex symmetric 

linear systems with applications in optical tomography. Preprint, TU Darmstadt, 

2012. 

[7] B. Assarf, M. Joswig, and A. Paffenholz. Smooth Fano polytopes with many vertices, 

Sept. 2012. arxiv:1209.3186. 

[8] P. Auscher, N. Badr, R. Haller-Dintelmann, and J. Rehberg. The square root problem 

for second order, divergence form operators with mixed boundary conditions on L p . 

Preprint, 2012. arXiv: 1210.0780. 

[9] V. Barany, G. Gottlob, and M. Otto. Querying the guarded fragment. Preprint of 

journal version of LICS 10 paper, available online, 2012. 

[10] V. Barany, B. ten Cate, and M. Otto. Queries with guarded negation. Full version of 

VLDB 12 paper, 19 pages, available online arXiv:1203.0077, 2012. 

[11] B. Baumeister, C. Haase, B. Nill, and A. Paffenholz. Permutation polytopes of cyclic 

groups, Sept. 2011. arxiv:1109.0191. 

[12] M. Berezhnyi and E. Khruslov. Asymmetric hydrodynamics of suspensions. nonlinear 

case. Preprint, TU Darmstadt, 2012. 

[13] A. Blumensath and B. Courcelle. Monadic second-order definable graph orderings. 

submitted. 

128 3 Publications

[14] A. Blumensath, M. Otto, and M. Weyer. Decidability Results for the Boundedness 

Problem. submitted. 

[15] D. Bothe, A. Fischer, and J. Saal. Global well-posedness and stability of electro-kinetic 

flows. Preprint, TU Darmstadt, 2012. 

[16] D. Bothe and S. Fleckenstein. Simplified modeling of the influence of surfactants on 

the rise of bubbles in vof-simulations. Preprint, TU Darmstadt, 2012. 

[17] D. Bothe, R. Guillaume, and M. Pierre. Global existence for a class of reactiondiffusion 

systems with mass action kinetics and concentration-dependent diffusivities. 


[18] D. Bothe, M. Köhne, and J. Prüß. On a Class of Energy Preserving Boundary Conditions 

for Incompressible Newtonian Flows. Submitted to SIAM Journal on Mathematical 

Analysis, Preprint: http://arxiv.org/abs/1207.0707, 2012. 

[19] D. Bothe, M. Köhne, and J. Prüß. On Two-Phase Flows with Soluble Surfactant. 

Preprint: http://arxiv.org/abs/1210.8131, 2012. 

[20] J. H. Bruinier. On the converse theorem for Borcherds products. Preprint, 2012. 

[21] J. H. Bruinier, A. Folsom, Z. Kent, and K. Ono. Recent work on the partition function. 

2012. 

[22] J. H. Bruinier, J. Funke, and O. Imamoglu. Regularized theta liftings and periods of 

modular functions. Journal für die reine und die angewandte Mathematik, accepted 

for publication. 

[23] J. H. Bruinier and K. Ono. Algebraic formulas for the coefficients of half-integral 

weight harmonic weak Maass forms. Preprint, 2011. 

[24] D. Bücher, A. Gärtner, B. Kümmerer, W. Reußwig, K. Schwieger, and N. Sissouno. 

Ergodic properties of quantum birth and death chains. Preprint, TU Darmstadt, 2012. 

[25] M. Campiti, G. Galdi, and M. Hieber. On the navier-stokes flow with linearly growing 

data for exterior domains. Preprint, 2012. 

[26] L. Carbone, W. Freyn, and D. Penta. Weyl group orbits on Kac-Moody root systems. 

2012. 

[27] X. Chen, H. Marschall, M. Schäfer, and D. Bothe. A comparison of different methods 

for viscoelastic flow simulation. Preprint, TU Darmstadt, 2012. 

[28] D. Clever. Analysis for an SP 1 -N ν -band model in radiative heat transfer. Preprint 

2658, TU Darmstadt, 2012. 

[29] T. Creutzig and A. R. Linshaw. A commutant realization of odake’s algebra. Preprint, 

submitted, Brandeis University, 2012. 

[30] T. Creutzig and A. R. Linshaw. The super ⊒ 1+∞ -algebra with integral central charge. 

Preprint, submitted, Brandeis University, 2012. 

[31] L. Devroye, T. Felber, and M. Kohler. Estimation of a density using real and artificial 

data. Preprint, TU Darmstadt, 2012. 

[32] S. Di Rocco, C. Haase, B. Nill, and A. Paffenholz. Polyhedral adjunction theory, May 

2011. arxiv:1105.2415. 

[33] K. Dieter-Kissling, M. Karbaschi, H. Marschall, A. Javadi, R. Miller, and D. Bothe. 

On the applicability of drop profile analysis tensiometry at high flow rates using 

an interface tracking method. Preprint, TU Darmstadt and Max Planck Institute of 

Colloids and Interfaces, 2012. 

3.4 Preprints 129

[34] S. Drewes and S. Pokutta. Symmetry-exploiting cuts for a class of mixed-0/1 second 

order cone programs. Technical report, Optimization Online, 2011. http://www. 

optimization-online.org/DB_HTML/2010/06/2652.html. 

[35] S. Drewes and I. Tosic. Learning joint intensity-depth sparse representations. Technical 

report, archiv.org, 2012. arxiv:1201.0566v1. 

[36] T. Ederer, U. Lorenz, A. Martin, T. Opfer, and J. Wolf. Polyhedral properties and 

algorithmic aspects of quantified linear programs. Preprint, TU Darmstadt, 2012. 

[37] M. Egert and J. Rozendaal. Convergence of subdiagonal Padé approximations of 

C 0 -semigroups. submitted, 2012. 

[38] H. Egger, U. Rüde, and B. Wohlmuth. Energy-corrected finite element methods for 

corner singularities. Preprint, TU München, 2012. 

[39] H. Egger and M. Schlottbom. On unique solvability for stationary radiative transfer 

with vanishing absorption. Preprint, TU Darmstadt, 2012. 

[40] S. Ehlen. CM values of Borcherds products and harmonic weak Maaß forms of weight 

one. Preprint, TU Darmstadt, 2012. 

[41] D. Fang, M. Hieber, and R. Zi. The incompressible limit of oldroyd-b fluids in the 

whole space. Preprint, 2012. 

[42] R. Farwig and C. Komo. Optimal Initial Value Conditions for Local Strong Solutions 

of the Navier-Stokes Equations in Exterior Domains. Preprint, TU Darmstadt, 2011. 

[43] R. Farwig, R. Schulz, and M. Yamazaki. Concentration-diffusion phenomena of heat 

convection in an incompressible fluid. Preprint, TU Darmstadt, 2012. 

[44] T. Felber, D. Jones, M. Kohler, and H. Walk. Weakly universally consistent static 

forecasting of stationary and ergodic time series via local averaging and least squares 

estimates. Preprint, TU Darmstadt, 2011. 

[45] C. Focke, D. Bothe, M. Kuschel, and M. Sommerfeld. Computational and experimental 

analysis of binary collisions of non-isoviscous liquid droplets. Preprint, TU 

Darmstadt and Universität Halle-Wittenberg, 2012. 

[46] W. Freyn. Holomorphic completions of affine Kac-Moody groups. 2012. 

[47] W. Freyn. Orthogonal-Symmetric affine Kac-Moody-algebras. 2012. 

[48] W. Freyn. Tame Fréchet submanifolds. 2012. 

[49] W. Freyn and A. Mars. The Kac–Peterson topology on forms of Kac–Moody groups 

and their homogeneous spaces. Preprint, TU Darmstadt, 2012. 

[50] A. Fromkorth and M. Kohler. On the consistency of regression based Monte Carlo 

methods for pricing Bermudan options in case of estimated financial model. Preprint, 


[51] D. Furer, M. Kohler, and A. Krzyzak. Fixed design regression estimation based on real 

and artificial data. Preprint, TU Darmstadt, 2012. 

[52] A. Gärtner and B. Kümmerer. A coherent approach to recurrence and transience for 

quantum markov operators. Preprint, TU Darmstadt, 2012. 

[53] M. Geissert and P. Kunstmann. Weak neumann implies H ∞ -calculus for the stokes 

operator. Preprint, TU Darmstadt, 2012. 

[54] J. Ghiglieri and S. Ulbrich. Optimal flow control based on POD and MPC and an 

application to the cancellation of Tollmien-Schlichting waves. Preprint, submitted, 


130 3 Publications

[55] Y. Giga, B. Han, and M. Hieber. Global existence results for the navier-stokes equations 

in the rotational framework. Preprint, 2012. 

[56] M. Grohe and M. Otto. Pebble games and linear equations. Full version of CSL 12 

paper, submitted, 40 pages, available online arXiv:1204.1990, 2012. 

[57] R. Gunesch. Easing the transition from high school to university for beginning university 

students by enabling repeated learning of classroom material with video and 

web technology. 2013. 

[58] R. Gunesch. Improving advanced university courses with new lecturing technology: 

practical studies of classroom video recording and dissemanation on the www. 2013. 

[59] R. Haller-Dintelmann, A. Jonsson, D. Knees, and J. Rehberg. On elliptic and parabolic 

regularity for mixed boundary value problems. Preprint no. 1706, Weierstraß Institute 

for Appplied Analysis and Stochastics, Berlin, 2012. 

[60] T. Hartnick, R. Köhl, and A. Mars. On topological twin buildings and topological split 

Kac–Moody groups. Preprint, TU Darmstadt, 2012. 

[61] K. Herr, T. Rehn, and A. Schürmann. Exploiting symmetry in integer convex optimization 

using core points. Preprint, TU Darmstadt, 2012. 

[62] I. Hertel and M. Kohler. Estimation of the optimal design of a nonlinear parametric 

regression problem via Monte Carlo experiments. Preprint, TU Darmstadt, 2011. 

[63] M. Hieber, M. Nesensohn, J. Prüss, and K. Schade. Dynamics of liquid cyrstals: The 

quasilinear approach. Preprint, 2012. 

[64] G. Höhn and N. Scheithauer. A generalized Kac-Moody algebra of rank 14. Preprint, 

submitted, TU Darmstadt, 2011. 

[65] S. Horn. A Topological Representation Theorem for tropical oriented matroids: Part 

I, Dec. 2012. arxiv:1212.0714. 

[66] S. Horn. A Topological Representation Theorem for tropical oriented matroids: Part 

II, Dec. 2012. arxiv:1212.2080. 

[67] P. Jahnke and I. Radloff. Holomorphic normal projective connections on projective 

manifolds. Preprint, TU Darmstadt, Universität Tübingen, 2012. 

[68] D. Jones. Data-based optimal stopping via forecasting of time series. Preprint, TU 

Darmstadt, 2012. 

[69] D. Jones, M. Kohler, A. Krzyzak, and A. Richter. Empirical comparison of nonparametric 

regression estimates on real data. Preprint, TU Darmstadt, 2012. 

[70] M. Joswig and G. M. Ziegler. Foldable triangulations of lattice polygons. 

arXiv:1207.6865. 

[71] A. Kawamura, N. Müller, C. Rösnick, and M. Ziegler. Computational complexity in 

numerics. Preprint 1211.4974, arXiv, 2012. 

[72] A. Kelava, M. Kohler, and D. Weinbender. Nonparametric estimation of a latent variable 

model. Preprint, TU Darmstadt, 2012. 

[73] U. Kohlenbach and P. Safarik. Fluctuations, effective learnability and metastability in 

analysis. Preprint (submitted), TU Darmstadt, 2012. 

[74] M. Kohler and A. Krzyzak. Adaptive density estimation based on real and artificial 

data. Preprint, TU Darmstadt, 2012. 

[75] M. Kohler and A. Krzyzak. Optimal global rates of convergence for interpolation 

problems with random design. Preprint, TU Darmstadt, 2012. 

3.4 Preprints 131

[76] C. Komo. Convergence Properties of Weak Solutions of the Boussinesq Equations in 

Domains with Rough Boundaries. Preprint, TU Darmstadt, 2011. 

[77] J. Lang and J. Verwer. W-methods for optimal control. Preprint, TU Darmstadt, 2011. 

[78] A. R. Linshaw. The kac-wang-yan algebra with negative integral central charge. 

Preprint, submitted, Brandeis University, 2012. 

[79] D. A. Lorenz, M. E. Pfetsch, and A. M. Tillmann. An infeasible-point subgradient 

method using adaptive approximate projections. Preprint, TU Darmstadt, TU Braunschweig, 

2012. 

[80] D. A. Lorenz, M. E. Pfetsch, and A. M. Tillmann. Solving basis pursuit: Subgradient 

algorithm, heuristic optimality check, and solver comparison. Preprint, TU 

Darmstadt, TU Braunschweig, 2012. 

[81] M. Nesensohn. Generalized viscoelastic fluids with a free boundary without surface 

tension. Preprint, TU Darmstadt, 2012. 

[82] B. Nill and A. Paffenholz. On the equality case in ehrhart’s volume conjecture, May 

2012. arxiv:1205.1270. 

[83] M. Otto. On groupoids and hypergraphs. Technical report, 37 pages, available online 

arXiv:1211.5656, 2012. 

[84] A. Pauly and M. Ziegler. Relative computability and uniform continuity of relations. 

Preprint 1105.3050, arXiv, 2011. 

[85] M. E. Pfetsch, A. Fügenschuh, B. Geißler, N. Geißler, R. Gollmer, B. Hiller, J. Humpola, 

T. Koch, T. Lehmann, A. Martin, A. Morsi, J. Rövekamp, L. Schewe, M. Schmidt, 

R. Schultz, R. Schwarz, J. Schweiger, C. Stangl, M. C. Steinbach, S. Vigerske, 

and B. M. Willert. Validation of nominations in gas network optimization: Models, 

methods, and solutions. Technical report, Optimization Online, 2012. http: 

//www.optimization-online.org/DB_HTML/2012/11/3694.html. 

[86] M. E. Pfetsch and A. M. Tillmann. The computational complexity of the restricted 

isometry property, the nullspace property, and related concepts in compressed sensing. 


[87] S. Roch. Arveson dichotomy and essential fractality. Preprint, TU Darmstadt, 2011. 

[88] S. Roch. Fractal algebras of discretization sequences (Chemnitz Summer School on 

Applied Analysis). Preprint, TU Darmstadt, 2011. 

[89] S. Roch and P. Santos. Two points, one limit: Homogenization techniques for twopoint 

local algebras. Preprint, TU Darmstadt, 2011. 

[90] N. Scheithauer. Some constructions of modular forms for the Weil representation of 

SL 2 (). Preprint, submitted, TU Darmstadt, 2011. 

[91] B. Schieche and J. Lang. Adjoint error estimation for stochastic collocation methods. 


[92] A. Schiela and S. Ulbrich. Operator preconditioning for a class of constrained optimal 

control problems. Preprint, submitted, TU Darmstadt, 2012. 

[93] J. C. Ziems. Adaptive Multilevel Inexact SQP-Methods for PDE-constrained Optimization 

with Control Constraints. Preprint, TU Darmstadt, 2011. 

[94] J. C. Ziems and S. Ulbrich. Adaptive Multilevel Generalized SQP-Methods for PDEconstrained 

Optimization. Preprint, TU Darmstadt, 2011. 

132 3 Publications

3.5 Reviewing and Refereeing 

3.5.1 Reviewing 

Stephan Ehlen: Mathematical Reviews, Zentralblatt 

Reinhard Farwig: Mathematical Reviews 

Walter Freyn: Zentralblatt 

Matthias Geissert: AMS Reviews 

Karsten Grosse-Brauckmann: Mathematical Reviews 

Michael Joswig: Zentralblatt 

Ulf Lorenz: Mathematical Reviews 

Steffen Roch: Mathematical Reviews 

Irwin Yousept: Mathematical Reviews 

3.5.2 Refereeing 

René Bartsch: Quaestiones Mathematicae, Rostocker Mathematisches Kolloquium 

Dieter Bothe: Chemical Engineering Science, Chemical Engineering Journal, Chemie Ingenieur 

Technik, Comm. on Pure and Applied Analysis, European Journal of Mechanics 

- B/Fluids, International Journal of Heat and Mass Transfer, International Journal 

of Multiphase Flow, Industrial & Engineering Chemistry Research, Journal of Computational 

Physics, Physics of Fluids, SIAM Journal on Mathematical Analysis, SPE 

Journal, Zeitschrift für Angewandte Mathematik und Physik (ZAMP) 

Regina Bruder: Journal für Didaktik der Mathematik; Journal mathematik lehren; DFG; 

Journal: Teacher Development; The International Journal on Mathematics Education 

Jan H. Bruinier: DFG, NSF (USA), NSERC (Kanada), Invent. Math., Ann. of Math., Acta 

Math., Journal of the AMS, Math. Ann., Duke Math. Journal, Crelle, Advances in 

Mathematics, Compositio Mathematica, etc. 

Herbert Egger: Applicable Analysis, Applied Mathematics Letters, Applied Numerical 

Mathematics, Computers and Mathematics with Applications, Inverse Problems, Inverse 

Problems in Imaging, Mathematics and Computers in Simulation, Numerical 

Algorithms, Numerische Mathematik, SIAM Journal on Numerical Analysis, SIAM 

Journal on Scientific Computing 

Stephan Ehlen: Forum Mathematicum 

3.5 Reviewing and Refereeing 133

Reinhard Farwig: Acta Mathematica, Annali dell’Università di Ferrara Sez. VII Sci. Mat., 

Archiv der Mathematik, Archive for Rational Mechanics and Analysis, Discrete and 

Continuous Dynamical Systems-S, Electronic J. Differential Equations, Indiana Univ. 

Math. J., J. Differential Equations, J. Mathematical Fluid Mechanics, Mathematical 

Methods in the Applied Sciences, Mathematische Annalen, Proceedings American 

Mathematical Society, Nonlinear Analysis, Nonlinearity, Topological Methods in Nonlinear 

Analysis 

Walter Freyn: Journal of Lie theory 

Alf Gerisch: Applied Mathematics Letters, Bulletin of Mathematical Biology, Discrete 

and Continuous Dynamical Systems–B, PLoS ONE, Research Foundation – Flanders 

(Fonds Wetenschappelijk Onderzoek – Vlaanderen, FWO), SIAM Multiscale Modeling 

and Simulation, Journal of the Royal Society Interface 

Vassilios Gregoriades: Archive for Mathematical Logic 

Karsten Grosse-Brauckmann: Computer Aided Geometric Design, Discrete and Computational 

Geometry 

Robert Haller-Dintelmann: Advances in Differential Equations, Analysis and Applications 

Priska Jahnke: Forum Mathematicum, Mathematische Zeitschrift, Advances in Mathematics, 

FWF - Der Wissenschaftsfond 

Michael Joswig: International J. Combin., J. Combin. Th. (Series A), European J. Combin., 

J. Algebra, Discrete Comput. Geometry, J. Alg. Combin., Linear Algebra Appl., 

Computational Geometry: Theory and Application, Journal of Mathematics, Math. of 

Computation, An. Stiint. Univ. Ovidius Ser. Mat., FPSAC 2011, EUROCOMB11 

Klaus Keimel: Proceedings of the American Mathematical Society, Journal of the London 

Mathematical Society, Acta Mathematica Sinica, Journal of Algebra and its Applications, 

Communications in Algebra, Topology and its Applications, European Science 

Foundation (ESF), Cech Science Foundation (GACR), Order, Mathematica Bohemica, 

Hacettepe Journal of Mathematics, Annals of Pure and Applied Logic, Journal of 

Logic and Algebraic Programming, Journal of Logic in Computer Science, Theoretical 

Computer Science, Mathematical Structures in Computer Science. 

Martin Kiehl: Jugend forscht 

Ulrich Kohlenbach: Annals of Functional Analysis, Annals of Pure and Applied Logic, 

Mathematical and Computer Modelling, Mathematical Logic Quarterly, Nonlinear 

Analysis, Notre Dame Journal of Formal Logic, Transactions AMS 

Michael Kohler: Computational Statistics, IEEE Transactions on Systems, Journal of Machine 

Learning Research, Journal of Nonparametric Statistics, Man and Cybernetics 

Part C, Mathematical Problems in Engineering, Metron - International Journal of 

Statistics, Statistics, Statistics and Probability Letters 

Oliver Kolb: Workshop on Computational Optimization, Modelling and Simulation within 

ICCS 2011 and ICCS 2012 

134 3 Publications

Burkhard Kümmerer: Journal of Functional Analysis, Communications in Mathematical 

Physics, Journal of Operator Theory, Journal of Statistical Physics, Journal of Mathematical 

Analysis and Applications, Journal of Mathematical Physics. 

Jens Lang: Applied Numerical Mathematics, Combustion Theory and Modelling, Journal 

of Physics A: Mathematical and General, Inverse Problems, Computing and Visualization 

in Science, International Journal of Hyperthermia, International Journal for 

Numerical Methods in Fluids, Transactions on Mathematical Software, Journal of 

Computational Physics, Computational and Applied Mathematics, IMA Journal of 

Numerical Analysis, Mathematics of Computation, SIAM Journal Numerical Analysis, 

SIAM Journal Scientific Computing 

Andrew Linshaw: Communications in Mathematical Physics, Journal of Algebra, Journal 

of Geometry and Physics, Journal of Physics A: Mathematical and Theoretical, 

SIGMA: Symmetry, Integrability and Geometry: Methods and Applications. 

Ulf Lorenz: Theoretical Computer Science (TCS), Advances in Computers and Games 

(ACG), European Symposium on Algorithms (ESA), Parallel Processing Letters, Transactions 

on Computational Intelligence and AI in Games, International Conference on 

Uncertainty in Mechanical Engineering, International Journal of Computer Games, 

DFG, NWO 

Martin Otto: Annals of Pure and Applied Logic, Logica Universalis, Journal of the ACM, 

ACM Transactions on Computational Logic, Journal of Logic and Computation, 

Archive for Mathematical Logic, Information Processing Letters, Theoretical Computer 

Science, Logical Methods in Computer Science, Logic and Computational Complexity, 

Mathematical Foundations of Computer Science, IEEE Symposium on Logic in 

Computer Science, International Conference on Automata, Languages and Programming, 

Symposium on Theoretical Aspects of Computer Science, Advances in Modal 

Logic, Computer Science Logic, IEEE Symposium on Foundations of Computer Science, 

Foundations of Software Science and Computation Structures, Foundations of 

Software Technology and Theoretical Computer Science, DFG, South Africa National 

Research Foundation 

Andreas Paffenholz: Journal of Combinatorial Theory A, Journal of Algebraic Combinatorics, 

International Mathematical Research Notices 

Marc Pfetsch: CPAIOR 2012, Discrete Applied Mathematics, European Journal of Operations 

Research, Journal of Symbolic Computation, Mathematical Programming Computation, 

Networks, OR Letters 

Jan-Frederik Pietschmann: Proceedings of the Royal Society A 

Ulrich Reif: CAGD, Computer Aided Design, Computer Graphics Forum, International 

Journal of Computer Mathematics, Jaen Journal on Approximation, Journal of 

Approximation Theory, Numerical Methods for Partial Differential Equations, SIG- 

GRAPH 2011, SIGGRAPH 2012 

Steffen Roch: Complex Variables Elliptic Equations, J. Assoc. Arab Univ. Basic Appl. Sciences, 

J. Math. Anal. Appl., J. Spectral Theory, Math. Computation, Math. Meth. 

3.5 Reviewing and Refereeing 135

Appl. Sciences, Numer. Algor., Operator Theory: Adv. Appl., Operators Matrices, 

Topology Appl., book project at Springer 

Jürgen Saal: Nonlinear Analysis Series B: Real World Applications, SIAM Journal of Mathematical 

Analysis, Discrete and Continuous Dynamical Systems Series A and Series 

S, Applied Mathematics Letters, Nonlinear Differential Equations and Applications, 

Journal of Evolution Equations, Bulletin of the Brazilian Mathematical Society 

Nils Scheithauer: Communications in Mathematical Physics, Journal für die reine und 

angewandte Mathematik, Journal of Lie Theory, The Ramanujan Journal 

Werner Schindler: Journal of Cryptographic Engineering, CT-RSA 2012, Eurocrypt 2012 

Thomas Streicher: Theoretical Computer Science, Mathematical Structures in Computer 

Science, Annals of Pure and Applied Logic 

Stefan Ulbrich: Computational Optimization and Applications, Inverse Problems, Mathematical 

Programming, Mathematics of Computation, Optimization and Engineering, 

Optimization Methods & Software, SIAM Journal on Control and Optimization, SIAM 

Journal on Optimization, SIAM Journal on Scientific Computing 

Christian H. Weiß: Advances in Statistical Analysis, Applied Stochastic Models in Business 

and Industry, Arabian Journal for Science and Engineering, ASTIN Bulletin – 

The Journal of the International Actuarial Association, Communications in Statistics 

– Simulation and Computation, Communications in Statistics – Theory and Methods, 

Computational Statistics, Computational Statistics and Data Analysis, Empirical 

Economics, IIE Transactions, IIE Transactions on Healthcare Systems Engineering, 

Journal of Agricultural, Biological, and Environmental Statistics, Journal of Applied 

Statistics, Journal of Mathematical Analysis and Applications, Journal of the Royal 

Statistical Society, Series B, Mathematical and Computer Modelling, Quality Technology 

& Quantitative Management, Statistical Modelling: An International Journal, 

Statistical Papers 

Irwin Yousept: Computational Optimization and Applications (COAP), Journal of Optimization 

Theory and Applications (JOTA), Mathematical Methods in the Applied 

Sciences, Systems and Control Letters, Mathematical and Computer Modelling of 

Dynamical Systems, Acta Applicandae Mathematicae 

Martin Ziegler: Theory of Computing Systems, Logical Methods in Computer Science, 

Mathematical Structures in Computer Science, Journal of Logic and Analysis, Jugend 

Forscht, Annals of Pure and Applied Logic, Applied Mathematics and Computation, 

Logic in Computer Science, Entropy 

3.6 Software 

polymake: Software for Geometric Combinatorics 

polymake started out as a tool for the algorithmic treatment of convex polyhedra. 

By now it also deals with toric varieties, tropical polytopes, and other objects. The 

136 3 Publications

software is jointly developed by the polymake team, lead by Ewgenij Gawrilow (Tom- 

Tom) and Michael Joswig. For more information, see www.polymake.org 

Contributors at TU Darmstadt: Benjamin Assarf, Roberto Henschel, Katrin Herr, Silke 

Horn, Michael Joswig, Katja Kulas, Andreas Paffenholz, Benjamin Schröter 

ANACONDA: Solving Hyperbolic Partial Differential Algebraic Equations on Networks 

ANACONDA is a software package to solve hyperbolic partial differential algebraic 

equations on networks. Particularly, it is designed to solve simulation and optimal 

control tasks for gas and water supply networks. The software is jointly developed 

by Oliver Kolb, Björn Geißler and Antonio Morsi (all TU Darmstadt). 

KARDOS: Solving Time-Dependent Partial Differential Equations 

KARDOS is a software package to solve partial differential equations in one, two and 

three space dimension adaptively in space and time. The software is jointly developed 

by Bodo Erdmann, Rainer Roitzsch (both ZIB) and Jens Lang, TU Darmstadt. For 

more information, see www.zib.de 

SDP Package for SCIP: Solving MISDPs using SCIP 

The SDP Package is a plug-in for the branch-and-bound framework SCIP for solving 

general MISDPs, see www.opt.tu-darmstadt.de/~smars/scip_sdp.html. 

Contributor at TU Darmstadt: Sonja Mars 

SCIP: Software for Solving Constraint Integer Programs 

SCIP is a framework for solving constrained integer programs and performing branchcut-and-price. 

It allows total control of the solution process and the access of detailed 

information. SCIP is also currently one of the fastest non-commercial mixed integer 

programming (MIP) solvers. It is developed together with the Zuse Insitute Berlin 

and the University of Erlangen-Nürnberg. For more information, see scip.zib.de 

Contributor at TU Darmstadt: Marc Pfetsch 

donlp2: Solving general smooth nonlinear optimization problems, version October 2012 

Donlp2 is a software for the solution of general nonlinear programming problems. 

Different versions exist concerning the programming language (strict f77, 

f90, C99), the user interface and some options (for example elimination of redundant 

linear equality constraints and an interfacing known as "reverse communication"). 

Donlp2 is free for research, whereas commercial use requires licensing 

by TU Darmstadt. In the period under review the technique of taking numerical 

gradients has been revised. Four commercial licenses have been sold during 

this period and 57 academic licenses were given. For more information contact the 

author spellucci(_at_)mathematik.tu-darmstadt.de or see http://www.mathematik. 

tu-darmstadt.de/fbereiche/numerik/staff/spellucci/DONLP2/index.html 

numawww: Interactive computing exercises for numerical methods and continuous optimization 

Numawww is a cgi/html-based computing device for general numerical methods 

and methods of continuous optimization. It may be used for exercises during a numerical 

methods course, as a self teaching aid or even as a small scale computing 

3.6 Software 137

device, requiring minimal knowledge of programming. Each application comes with 

predefined test cases which can be used without programming knowledge at all. In 

the period under review the English version became fully operable. This version has 

been extended by 9 newly implemented methods and some other implementations 

were completely redesigned. There were about 6000 visits in 2011 and 12000 visits 

in 2012. Numawww meanwhile attracts attention internationally. For more information 

see numawww.mathematik.tu-darmstadt.de 

Contributor at TU Darmstadt: Peter Spellucci 

ISAL1: Infeasible-Point Subgradient Algorithm for Basis Pursuit 

ISAL1 is a subgradient algorithm employing adaptive approximate projections for 

solving the basis pursuit problem, i.e., finding a minimum-l1-norm solution to an 

underdetermined linear equation system. For more information, see http://wwwopt. 

mathematik.tu-darmstadt.de/spear/ 

Contributor at TU Darmstadt: Andreas M. Tillmann 

L1-Testset: A set of test instances for L1-Minimization 

L1-Testset consists of 548 basis pursuit instances consisting of the constraint data 

(matrix and right hand side vector), a known unique optimal solution, and various 

data-specific parameters, constructed for the purpose of a unified solver comparison 

for basis pursuit problems. For more information, see http://wwwopt.mathematik. 

tu-darmstadt.de/spear/ 

Contributor at TU Darmstadt: Andreas M. Tillmann 

ipfilter: An NLP Solver based on a primal-dual interior-point filter algorithm 

ipfilter is a state-of-the-art solver for nonlinear programming problems (defined by 

the minimization of an objective function in a feasible region defined by equality and 

inequality constraints). 

See http://www.mat.uc.pt/ipfilter/ 

Contributor at TU Darmstadt: Stefan Ulbrich 

138 3 Publications

4 Theses 

4.1 Habilitations 

2011 

van den Berg, Benno, Categorical semantics of constructive set theory (Thomas Streicher) 

2012 

Kyed, Mads, Time-Periodic Solutions to the Navier-Stokes Equations (Matthias Hieber) 

4.2 PhD Dissertations 

2011 

Brandenburg, Christian, Adjoint-Based Adaptive Multilevel Shape Optimization based on 

Goal-Oriented Error Estimators for the Instationary Navier-Stokes Equations (Stefan 

Ulbrich) 

Domschke, Pia, Adjoint-Based Control of Model and Discretization Errors for Gas Transport 

in Networked Pipelines (Jens Lang) 

Fromkorth, Andreas, Konsistenz regressionsbasierter Monte-Carlo-Verfahren zur Optionsbewertung 

mit geschätzten Modellen (Michael Kohler) 

Gaspar, Jaime da Gama, Proof interpretations: 

Kohlenbach) 

theoretical and practical aspects (Ulrich 

Hansel, Tobias, Fluid flows around moving obstacles: Non-autonomous rotation and fluids 

with variable density (Matthias Hieber) 

Hartmann, René, Subdivision Surfaces C 2 -schemes and generalized control nets (Ulrich Reif) 

Heidrich, Matthias, Conditional Value-at-Risk Optimization for Credit Risk Using Asset Value 

Models (Stefan Ulbrich) 

Hofmann, Eric Ferdinand Wilhelm, Automorphic Products on Unitary Groups (Jan Hendrik 

Bruinier) 

Kartzow, Alexander, First-Order Model Checking on Generalisations of Pushdown Graphs 

(Martin Otto) 

Köhne, Matthias, L p -Theory for Incompressible Newtonian Flows in Weakly Singular Domains 

subject to Energy Preserving Boundary Conditions (Dieter Bothe) 

Kolb, Oliver, Simulation and Optimization of Gas and Water Supply Networks (Jens Lang) 

Mars, Andreas, On the topology and geometry of Kac-Moody groups (Ralf Gramlich) 

4 Theses 139

Petri, Birgit, Perioden, Elementarteiler, Transzendenz – Kurt Hensels Weg zu den p-adischen 

Zahlen (Regina Bruder) 

Riechwald, Paul Felix, Very Weak Solutions to the Navier-Stokes Equations in General Unbounded 

Domains (Reinhard Farwig) 

Sissouno, Nada, Multivariate Splineapproximation auf Gebieten (Ulrich Reif) 

Sissouno, Nadiem, A Non-commutative Version of the Coupling from the Past Algorithm 

(Burkhard Kümmerer) 

Witzel, Stefan, Finiteness Properties of Chevalley Groups over the Ring of (Laurent) Polynomials 

over a Finite Field (Ralf Gramlich) 

2012 

Böhm, Ulrich, Modellierungskompetenzen langfristig und kumulativ fördern. Tätigkeitstheoretische 

Analyse des mathematischen Modellierens als Lerngegenstand in der Sekundarstufe 

I (Regina Bruder) 

Felber, Tina, Universell L 1 -konsistente Schätzung der Dichte der Fehler in einem Regressionsmodell 

und einer stationär ergodischen Zeitreihe (Michael Kohler) 

Götz, Dario, Three topics in fluid dynamics: Viscoelastic, generalized Newtonian, and compressible 

fluids (Matthias Hieber) 

Henkel, Daniel, Pointwise Approximation of Coupled Ornstein-Uhlenbeck Processes (Klaus 

Ritter) 

Horn, Silke, Tropical Oriented Matroids and Cubical Complexes (Michael Joswig) 

Hövel, Martin, Automorphe Formen mit Singularitäten auf dem hyperbolischen Raum (Jan 

Hendrik Bruinier) 

Jones, Daniel, Optimales Stoppen und das Static Forecasting Problem (Michael Kohler) 

Kreuzer, Alexander, Proof mining and combinatorics - Program extraction for Ramsey’s theorem 

for pairs (Ulrich Kohlenbach) 

Kulas, Katja, Combinatorics of Tropical Polytopes (Michael Joswig) 

Nesensohn, Manuel, L p -theory for a class of viscoelastic fluids with and without a free surface 

(Matthias Geißert) 

Plehnert, Julia, Constant Mean Curvature Surfaces in Homogeneous Manifolds (Karsten 

Große-Brauckmann) 

Rolland, Guillaume, Global existence and fast-reaction limit in cross effects (Dieter Bothe / 

Michel Pierre) 

Roth, Rolf, Multilevel Optimization of Turbulent Flows by Discrete Adjoint Techniques (Stefan 

Ulbrich) 

140 4 Theses

Sauer, Martin, Existence and Uniqueness Results for Randomly Forced Generalized Newtonian 

Fluids (Wilhelm Stannat) 

Schieche, Bettina, Unsteady Adaptive Stochastic Collocation Methods on Sparse Grids (Jens 

Lang) 

Schulz, Raphael, Spatial Asymptotic Profile in Geophysical Fluid Dynamics (Reinhard Farwig) 

Schwieger, Kay, A Coupling Method for Quantum Markov Processes (Burkhard Kümmerer) 

4.3 Diplom Theses 

2011 

Alex, Tristan, Minimale Graphen in Riemannschen Faserungen (Karsten Große-Brauckmann) 

Aronava, Lina, Robuste Portfolio-Optimierung basierend auf gemeinsam ellipsoiden Unsicherheitsmengen 

(Stefan Ulbrich) 

Assarf, Benjamin, Auswirkungen von Gaps im Sequence Alignment Problem auf Tightspans 

(Michael Joswig) 

Ayat, Abdelhamid, The implementation of algorithms for parameter estimation and optimal 

experimental design using Matlab and Chebfun (Stefan Ulbrich) 

Bednarek, Marei, Gültige Ungleichungen aus mehreren Zeilen des Simplextableaus (Marco 

Lübbecke) 

von Below, Lorenz, H ∞ -Kalkül für Familien von sektoriellen Operatoren (Matthias Geißert) 

Betz, Thomas, Optimale Steuerung elastoplastischer Verformungsprozesse (Christian Meyer) 

Bolchoun, Alexandre, Pseudomonotone Operatoren und Existenztheorie zu einem Phasenmodell 

(Hans-Dieter Alber) 

Brandau, Roland, Integriertes Modell der Profiloptimierung zur Herstellung von Mehrkammerprofilen 


Breunig, Eva Maria, Systematische Untersuchung dreifach periodischer Flächen konstanter 

mittlerer Krümmung mit Hilfe der Konjugierten-Methode (Karsten Große-Brauckmann) 

Bruse, Florian, Ein modallogischer Ansatz für Lindströmsätze für schwache Logiken (Martin 

Otto) 

Caspar, Roland, Auffalten von orthogonalen Bäumen (Alexander Martin) 

Dietz, Nadine, Pricing American Options using GARCH Models and regression-based Monte 

Carlo Methods (Michael Kohler) 

Dittmann, Christoph, Succinctness and expressitivity of certain modal logics over S5 structures 

(Martin Otto) 

4.3 Diplom Theses 141

Erdene, Zambaga, Evaluation and Extension of Confidence Estimators for Optical flow (Stefan 

Roth / Wilhelm Stannat) 

Funk, Katharina, Verschiedene Ansätze zur mathematischen Optimierung von Wasserversorgungsnetzen 

(Ulf Lorenz) 

Furer, Dmytro, Optimale Parameterwahl bei der Bewertung von Amerikanischen Optionen 

mit Hilfe von GARCH-Modellen und regressionsbasierten Monte-Carlo-Verfahren unter 

Verwendung von nichtparametrischer Regression (Michael Kohler) 

Gomez Rodriguez, Jose Fabio, Forecasting German Recessions: An Application on Markov 

Regime Switching Models (Jens Krüger / Michael Kohler) 

Guo, Zhihong, Numerical estimation of model parameters for a detailed industrial robot dynamics 

(Oskar von Stryk / Martin Kiehl) 

Hamann, Sebastian Carsten, Adaptive All-But-One Lossy Trapdoor Functions and their Applications 

(Johannes Buchmann) 

Hartmann, Benjamin, Erzeugung von 3-dimensionalen Polytypen und Triangulierungen 

durch Projektion höher dimensionaler Polytypklassen (Michael Joswig) 

Hübsch, Florian Andreas, Die First-Jump- Approximation von Levy-Prozessen (Klaus Ritter 

/ Wilhelm Stannat) 

Jin, Lihui, Vergleichende Darstlellung von Schadensreservierung bei lang anhaltenden Schadensabwicklungen 

(Michael Kohler) 

Kascha, Matthäus, Creditibility-Theorie (Michael Kohler) 

Kaspar, Larissa, Metrikbasierte anisotrope Gitterverfeinerung (Jens Lang) 

Keim, Oliver, Incorporating Convex Hulls into an Algorithmic Approach for Territory Design 

Problems (Alexander Martin) 

Krug, Matthias, Optimales Ausüben von Amerikanischen Optionen in diskreter Zeit im Falle 

von GARCH-Modellen (Michael Kohler) 

Lehmann, Nora, Optimierung der Baustellenplanung im Schienenverkehr (Marco Lübbecke) 

Markert, Melanie Heidrun, Robuste Optimierung aktiver Stabwerke mittels polyedrischelliptischen 

Unsicherheitsmengen sowie nichtlinearer Semidefinierter Programmierung 


Mayer, Sebastian, Multilevel-Rank-1 Lattice Rules for Infinite-Dimensional Integration Problems 

(Klaus Ritter ) 

Meinlschmidt, Hannes, Optimal control of the thermistor problem (Robert Haller-Dintelmann 

/ Christian Meyer) 

Mönkehues, Stephan, SWIFFt-Modifikationen, Korrektur von Operm5 (Johannes Buchmann) 

142 4 Theses

Mücke, Patrick William, 3D Surface Reconstruction from Multi-Resolution Depth Maps (Ulrich 

Reif) 

Muth, Sebastian, Topologieabhängige robuste Optimierung aktiver Stabwerke mittels MISDP 


Nagel, Markus, Das Transmission Line Problem aus Sicht der Diskreten Optimierung (Ulf 

Lorenz / Martin Ziegler) 

Niederhöfer, Florian, Zeitintegrationsverfahren höherer Ordnung in der Molekulardynamik 

(Jens Wackerfuß / Jens Lang) 

Opfer, Thomas, Entwicklung eins exakten rationalen dualen Simplex-Lösers (Martin Ziegler 

/ Ulf Lorenz) 

Palapies, Lars, Über die Fortsetzung von L-Reihen aus der Theorie vektorwertiger Modulformen 

zur Weildarstellung (Jan Hendrik Bruinier) 

Pausch, Matthias, Ein Konsistenzresultat zur Schätzung von Geschwindigkeitsfeldern mit 

Hilfe von multivariaten Smoothing-Splines (Michael Kohler) 

Philipp, Anne, Anwendung von Verfahren der Nichtlinearen Semidefiniten Programmierung 

auf die Robuste Optimierung von aktiven Stabwerken (Stefan Ulbrich) 

Rauch, Bernhard, Solving indefinite quadratic problems by combining QP-convexification 

techniques with a new interior-point-based primal heuristic (Stefan Ulbrich) 

Redeker, Esther Karin Maria, Die Schätzung des Driftparameters in stochastischen Volatilitätsmodellen 

(Wilhelm Stannat) 

Roos, Stefanie, Analysis of Routing on Sparse Small-Word Topologies (Thorsten Strufe) 

Roth, Martina, Demand and Capacity Balancing – Ein Modell zur flugbasierten Komplextitätsbetrachtung 


Rozenberg, Dimitri, Robuste Conditional Value-at-Risk Portfoliooptimierung (Stefan Ulbrich) 

Schad, Adrian, Solutions to the Broadcasting Problem (Stefan Ulbrich) 

Schäfer, Carsten, Modell-prädikative Regelung zur aktiven Dämpfung von elastischen Systemen 


Schermuly, Claudia, Modellierung und Anwendung zur Dekomposition von Graphen (Michael 

Joswig) 

Schneider, Jan, Schwache Approximation Lévy-Prozess getriebener stochastischer Differentialgleichungen 

(Klaus Ritter) 

Schröder, Dirk, Adaptive Multilevel-Verfahren für das Thermistor-Problem (Jens Lang) 

Schulze, Moritz, Expanding Branch and Bound for binary integer programs with a pseudoboolean 

solver and a SAT based presolver (Alexander Martin) 


Seeger, Jens, Geometrieoptimierung verzweigter Blechbauteile (Stefan Ulbrich) 

Siagam, Eric Salvador, Robust Portfolio Optimization: A Conic Programming Approach (Stefan 

Ulbrich) 

Steglich, Friederike, Automorphismen von Gittern (Nils Scheithauer) 

Steigerwald, Martin Josef, Planung von gekoppelten Strom-, Gas- und Wärmenetzen (Alexander 

Martin) 

Steplavage, Martin Frank, Konvergenzrate des Galerkin-Verfahrens für eine Klasse von 

stochastischen elliptischen Differentialgleichungen (Klaus Ritter / Jens Lang) 

Tischhauser, Gundula Elfi, Modellierung und Simulation von Netzwerken hyperbolischer Erhaltungsgleichungen 


Vrzina, Miroslav, Ends of Constant Mean Curvature in 2 × (Karsten Große-Brauckmann) 

Wagner, Tobias, Integriertes Modell und Algorithmus der Profiloptimierung zur Herstellung 

von Mehrkammerprofilen (Stefan Ulbrich) 

Weiden, Patrick, Fully Homomorphic Encryption: Overview and Cryptanalysis (Johannes 

Buchmann) 

Weider, Katrin, Die Anwendung der Topologischen Ableitung in der Strukturoptimierung 


Wojciechowski, Philipp, Generalisierte Multilevel SQP-Methoden für PDE-beschränkte Optimierung 

mit Modellen reduzierter Ordnung (Stefan Ulbrich) 

Wu, Xiping, Pricing American Options by regression based Monte Carlo Methods using Interaction 

Models based on Splines (Michael Kohler) 

Zeng, Dequan, Linear Model-Predictive Control of Cooperative Multi-Vehicle for Time- 

Dependent (Oskar von Stryk / Stefan Ulbrich) 

Zhao, Ying, On data-based optimal stopping under stationarity and ergodicity (Michael 

Kohler) 

2012 

Bott, Stefanie, Adaptive Multilevel SQP-Verfahren für zustandsrestringierte Optimierung mit 

partiellen Differentialgleichungen (Stefan Ulbrich) 

Brückmann, Volker, MINLP zur Topologieoptimierung verzweigter Kohlenstoffnanoröhrchen 

– Modellierung, Implementierung mit GAMS und Berechnung (Jens Wackerfuß / Stefan 

Ulbrich) 

Brück, Sascha, Development and analysis of a Discountinous Galerkin method on staggered 

grids for high frequency problems (Erion Gjonaj / Jens Lang) 

Do, Phuong Thao, Robuste Portfolio-Optimierung mit Value-at-Risk als Risikomaß (Stefan 

Ulbrich) 

144 4 Theses

Dogruel, Selim, Revisiting and Tailoring auction theory for Eurex Clearing (Stephane Le 

Roux) 

Fischer, Tobias, Konstruktion von dünn besetzten Sensing Matrizen (Marc Pfetsch) 

Geier, Sascha, Multilevel Monte Carlo Methoden in der stochastischen Optimierung mit Anwendung 

auf High Frequency Trading (Stefan Ulbrich) 

Heid, Florian, Credit Valuation Adjustment – Modellierung und Simulation des Kreditausfallrisikos 

von Portfolio mit OTC-Derivaten des Kontrahenten (Hans-Dieter Alber / Stefan 

Ebenfeld) 

Herzwurm, André, Multilevel Monte Carlo Algorithms for Free Energy Computation (Klaus 

Ritter) 

Hinz, Bianca, Dichteschätzung ausgehend von realen und künstlich erzeugten Daten unter 

Verwendung des Nächsten-Nachbar-Schätzers (Michael Kohler) 

Holstein, Paul, Bewertung von exotischen Optionen mithilfe von Momenten und einer SDP- 

Relaxation unter Berücksichtigung verschiedener Systeme (Stefan Ulbrich) 

Hornschuch, Marian, Multivariate-based identification and signature schemes with additional 

properties (Johannes Buchmann) 

Jakob, Manuel, Methodology for Site Selection for Route-Based Traffic Network Optimizations 

and Relative Costs of Implementation: Numerical Studies (Alexandre Bayen 

(Berkeley), Stefan Ulbrich) 

Kaier, Anton, Kalibrierung der Quelle-Ziel-Nachfragematrix auf Basis von Querschnittszähldaten 

im Öffentlichen Verkehr (Stefan Ulbrich) 

Kim, Evgenia, Back-Door Equity Financing: The issue of Commerzbank’s Conditional mandatory 

exchangeable notes (Dirk Schiereck / Michael Kohler) 

Kohlleppel, Laura, Myopisches Verhalten und Karriereanreize (Volker Nitsch / Stefan Ulbrich) 

Kremer, Dominik, Spezielle Minimalflächen in homogenen Räumen (Karsten Große-Brauckmann) 

Kresse, Björn, Optimale Steuerung von hyperbolischen Erhaltungsgleichungen auf Netzwerken 


Kriha, Nils, Parallelisierung in der algorithmischen Geometrie (Michael Joswig) 

Kunkel, Annette, Eine dynamische Methode zur Berechnung von Nash-Gleichgewichten in 

nicht-kooperativen n-Personen-Spielen (Werner Krabs) 

Macht, Christina, Regularisation of the Problem of Static Elastoplasticity with Kinematic 

Hardening (Christian Meyer / Stefan Ulbrich) 

Meffert, David, Ein Transference Principle für unbeschränkte Gruppen und Funktionalkalküle 

auf UMD-Räumen (Robert Haller-Dintelmann) 


Omland, Steffen, Multilevel algorithms using scrambled digital nets (Klaus Ritter) 

Pesch, Joana, Ein Algorithmus für kardinalitätsbeschränkte quadratische Optimierungsprobleme 

mit Anwendung auf die Portfoliooptimierung (Stefan Ulbrich) 

Schneider, Moritz, Evolutionary Games and Population Genetics in Discrete Time (Werner 

Krabs) 

Schüssler, Daniel, Algorithmische Bestimmung der Haken-Eigenschaft bei 3-Mannigfaltigkeiten 


Schulz, Despina, Optimierung von koalitionssicheren Fingerprint Algorithmen (Werner 

Schindler / Stefan Katzenbeisser) 

Stammler, Sebastian, Coefficients of Eisenstein series associated with lattices and Heegner 

divisors (Jan Hendrik Bruinier) 

Ströter, Laura, Bewertung Amerikanischer Optionen mittels kleinsten-Quadrate-Splineschätzern 

bei unbeschränkter Auszahlungsfunktion (Michael Kohler) 

Trippel, Florian, Pricing of Bermudan options using least-squares estimates with complexity 

penalties (Michael Kohler) 

Walter, Michael, Eine konvexitätsbasierte Homotopiemethode für Nonlinear Model Predictive 

Control (Stefan Ulbrich) 

Walter, Stefan, Grundlagen des optimalen Stoppens unter Ergodizität und Stationarität 


Weigel, Jens Wolf, Zur Analyse von 2-Spieler Nullsummenspielen in Extensivform am Beispiel 

von Leduc Holdem (Werner Krabs) 

Weigt, Till Sebastian, Numerische Simulation zu Kubatur-Algorithmen auf dem Wiener 

Raum (Andreas Rößler) 

Zentgraf, Christopher, How consolidation changes the risk profile of the business software 

industry (Dirk Schiereck / Michael Kohler) 

Zhao, Zilong, Stabilität in Räuber–Beute–Modellen (Werner Krabs) 

Zhou, Rui, Credit Portfolio Optimization based on Conditional Value at Risk and Merton’s 

Model (Stefan Ulbrich) 

4.4 Master Theses 

2011 

Bauer, Astrid, Aufgabensets als binnendifferenzierendes Element im Mathematikunterricht 

der Fachoberschule (Regina Bruder) 

146 4 Theses

Blank, Stefan, Didaktische Planung, Organisation und Durchführung einer Elektrotechnik- 

Arbeitsgemeinschaft an der Justin-Wagner-Gesamtschule in Roßdorf für das Schuljahr 

2011/2012. Nähere Betrachtung der Komponenten eines Elektrofahrzeuges sowie des 

öffentlichen Stromnetzes. An Modellen (Elektro-Motoren aus dem Modellbau) führen 

die Schüler Experimente durch und bauen mit Steckbrettern diverse elektronische Schaltungen 

auf. (Gerhard Faber) 

Chakarova, Elica Emilova, Eine Heuristik zur Unterstützung der Ladeplanung bei Fluggesellschaften 

am Beispiel der Lufthansa Cargo AG (Marco Lübbecke) 

Chakoute Mepipyou, Aristide Briand, Optimale Steuerung auf einem Strassennetzwerk (Stefan 

Ulbrich) 

Endres, Thomas, Erstellen eines Drehbuches für eine Kompetenzorientierte digitale Lernumgebung 

(Regina Bruder) 

Grünewald, Theo, Testbasierte Rückmeldung zur diagnostischen Kompetenz im Lehramtsstudium 

(Mathematik) (Regina Bruder) 

Hasch, Alva Theresa, Eignet sich selbstgesteuertes Lernen für "leistungsschwache" Jugendliche? 

(Josef Rützel) 

Horcicka, Michael, Anwendung der Theorie und Verfahren der nichtlinearen Optimierung in 

der Teilchentherapie (Christian Meyer) 

Jochum, Steffen, Erstellung und Evaluierung einer Selbstlernumgebung zum Thema "Drehen" 

für Auszubildende in den Berufen Industriemechaniker/in und Feinmechaniker/in im 

Kontext des Lernfeldkonzept (Stephan Kösel) 

Kenmoe, Steve Charlie, Optimal exercising of American options in discrete time (Michael 

Kohler) 

Kuete Ngougning, Meguy, Optimal exercising of American options in discrete time-measurement 

problems (Michael Kohler) 

Lux, Sabine, Klingende Mathematik – Mathematik durch Musik erleben (Burkhard Kümmerer) 

Mrazek, Ralf, Verantwortungsvoller Umgang mit Bildung im Schulalltag (Tim Unger) 

Odathuparambil, Sonja, Effiziente Auswertung von Subdivisionsflächen (Ulrich Reif) 

Peng, Jing, Insider Trading in Continuous Time (Wilhelm Stannat) 

Ruiner, Inga, Lehrerteamarbeit als Herausforderung der Lernfeldimplementierung im Fachbereich 

Körperpflege (Stephan Kösel) 

Werner, Fabian, Discriminant forms and Hecke operators (Nils Scheithauer) 

Winter, Bianca, Mathematische Optimierungsmethoden für die Konferenzplanung (Ralf 

Borndörfer) 

Wolf, Markus, Lernprojekt zum Einstieg in die Photovoltaiktechnik (Gerhard Faber) 

4.4 Master Theses 147

2012 

Achard, Dominique, Wahl des optimalen Designs zur Schätzung der Dehnungswöhlerlinie 

mittels Simulation (Michael Kohler) 

Beierlein, Christian, Bewertung Amerikanischer Optionen auf Dividenden abwerfende Aktien 

mittels regressionsbasierter Monte-Carlo-Verfahren und Kleinste-Quadrate-Schätzern bei 

unbeschränkter Auszahlungsfunktion (Michael Kohler) 

Bernhardt, Bert, Eine Selbstlernumgebung zur Integralrechnung in der Fachoberschule 


Bott, Ann-Kathrin, Obere Schranken für Amerikanische Optionen in diskreter Zeit im Falle 

von stationären und ergodischen Daten (Michael Kohler) 

Burkholz, Rebekka, Stochastische FitzHugh-Nagumo Systeme (Wilhelm Stannat) 

Buttler, Jens Erik, Berechnung von Nash-Gleichgewichten von Spielen in Normalform basierend 

auf Replicator Dynamics (Werner Krabs) 

Egert, Moritz, The Riesz transform for elliptic systems (Robert Haller-Dintelmann) 

Ewald, Tobias, Parametrisierung von Dreiecksnetzen über Mannigfaltigkeiten (Ulrich Reif) 

Garthe, Timo, Rekonstruktive Kompetenzdiagnostik in Prüfungsgesprächen der Facharbeiterprüfungen 

(Ralf Tenberg) 

Groschwitz, Pascal, Bildung fürs Leben: Über den Beitrag, den Hessencampus zum Konzept 

der "Employability" leistet (Stephan Kösel) 

Gürbüz, Nalan, Motivation für Mathematik im Berufskolleg: Eine empirische Studie unter 

Einbeziehung des sozialen Hintergrundes (Regina Bruder) 

Houdek, Simone, Binnendifferenzierende Elemente zur Einführung in die Differentialrechnung 

in der FOS (Regina Bruder) 

Hufler, Tobias Holger, L-Funktionen zu Hecke-Charakteren (Jan Hendrik Bruinier) 

Kontny, Markus Matthias, Neues Verfahren zur Schätzung der Dehnungs-Wöhler-Linien 


Lebisch, Lukas, Density estimation in the finite information model (Michael Kohler) 

Lippert, Roman, Untersuchung des "Recoverable Robustness" Konzepts zur Bewältigung von 

Unsicherheiten in Fahrplänen des Schienenverkehrs (Malte Fliedner / Stefan Ulbrich) 

Lohfert, Jan-Hendrik, Diversifikationseffekte in Asset Allocation, Kapitalallokation und 

Risikotragfähigkeitsanalyse: MaRisk-konforme Modelle und empirische Fundierung 


Lulev, Hristo, Exposure-Management und Optimale-Hedingstrategie (Stefan Ulbrich) 

148 4 Theses

Merkel, Claudia, Lernumgebung zu kontextbasiertem Basiskönnen in den Bildungsgängen 

zur Berufsvorbereitung (Regina Bruder) 

Möller, Sven, Zur Klassifikation automorpher Produkte singulären Gewichts (Nils Scheithauer) 

Müller, Florian, Schätzung der Ableitung einer Regressionsfunktion als Inversenproblem 


Nangue Ngangwa, Reynaud, Analyse von Kleinste-Quadrate Neuronale-Netze-Schätzern bei 

Vorliegen von Messfehlern in der unabhängigen Variablen (Michael Kohler) 

Nordheim, Jens Christoph, Konzeption und Implementierung eines Algorithmus zur numerischen 

Integration auf getrimmten Würfeln (Ulrich Reif) 

Ott, Marcel, Der demographische Wandel und seine Auswirkungen auf die berufliche Bildung 

im Odenwaldkreis (Josef Rützel) 

Pacheva, Boryana Dimitrova, Controlling in öffentlichen Verwaltungen und Non-Profit- 

Organisation – am Beispiel von Schulen (Reiner Quick / Regina Bruder) 

Plutz, Ferdinand, Ingenieurpädagogik in der beruflichen Fachrichtung Fertigungstechnik mit 

dem Zweitfach Informationstechnik (Anerkennung) 

Razavi, Sarah, Entwurf einer Spannbetonbrücke ohne Betonstahl, Abdichtung und Fahrbahnbelag 

(Anerkennung) 

Rexius, Alexander, Selbstlernumgebung zu Wachstum und Veränderungen (Regina Bruder) 

Sauer, Jens, Informationsflusssicherheit in Systemen mit zwei Prozessoren (Heiko Mantel) 

Sauer, Jonas, Very Weak Solutions of the Stationary Stokes Equations in Unbounded Domains 

of Half Space Type (Reinhard Farwig) 

Schade, Katharina Clara, Proof Mining for Halpern Iterations in CAT(O) spaces (Ulrich 

Kohlenbach) 

Schneider, Katrin, Selbstreguliertes Lernen und personenorientierte Methoden in der Benachteiligtenbildung 

(Josef Rützel) 

Vock, Sebastian Erik, Analyse der Abhängigkeiten zwischen Key Performance Areas und Key 

Performance Indicators (Stefan Ulbrich) 

Weinbender, Dennis, Derivation and Implementation of a Nonparametric Estimate in the 

Context of a Latent Variable Model (Michael Kohler) 

Wolf, Melanie, Druckstabilisierung bei adaptiver Diskretisierung der Stokes Gleichung (Jens 

Lang) 

Yomba Ngangwa, Gerard, Nichtparametrische Schätzung bedingter Verteilungen (Michael 

Kohler) 

4.4 Master Theses 149

4.5 Staatsexamen Theses 

2011 

Bauer, Eva Adriane, Binnendifferenzierender Mathematikunterricht aus Schülersicht – Klasse 

7 und 8 – Ergebnisse des Projektes MABiKOM (Regina Bruder) 

Bayer, Maria, Zur Entwicklung von Planungskompetenz von Mathematik-Lehramtsstudierenden 


Buchert, Maike, Entwicklung einer Lernumgebung zur Förderung der Darstellungswechsel 

Funktionaler Zusammenhänge (Regina Bruder) 

Feldt, Nora, Selbst reguliert mathematische Kompetenzen erwerben mit einem binnendifferenzierenden 

Aufgabenformat (Regina Bruder) 

Fissel, Sonja Kristin, Lerngelegenheiten für mathematisches Argumentieren ab Klasse 9 


Guse, Sebastian, Eine Lernumgebung zur Diagnose von Fehlvorstellungen in funktionalen 

Zusammenhängen (Regina Bruder) 

Haas, Fabienne Christine, Eine Lernumgebung zu Darstellungswechseln zwischen Graph und 

Gleichung bei funktionalen Zusammenhängen (Regina Bruder) 

Karl, Angela, Eine digitale Lernumgebung zu Folgen und Reihen für das Aufgabenpraktikum 

online (Regina Bruder) 

Kompter, Astrid, Fehlvorstellungen zu Darstellungswechseln bei funktionalen Zusammenhängen 

im Projekt HEUREKO (Regina Bruder) 

Konrad, Denise, Zur Entwicklung von Blütenaufgaben und der Ergebnisreflexion (Regina 

Bruder) 

Kornetzky, André, Entwicklung eines veranstaltungsbegleitenden Forenmoduls für das Aufgabenpraktikum 

online (Regina Bruder) 

Lakenbrink, Sven, Im historischen Kontext Begründen und Beweisen lernen (Regina Bruder) 

Lisin, Katharina, Itemkonstruktion zu Darstellungswechseln bei quadratischen Zusammenhängen 


Losert, Ann-Katrin, Ergebnisse des Modellprojektes zu einem binnendifferenzierenden Mathematikunterricht 

(MABIKOM) in Klasse 8 (Regina Bruder) 

Löw, Fabian, Auswertung der Längsschnittstudie CALiMERO Klassen 7 bis 10 (Regina 

Bruder) 

Müller-Pompetti, Simone, Eine Pilotstudie zur Nutzung von Darstellungswechseln funktionaler 

Zusammenhänge im Projekt "HEUREKO" (Regina Bruder) 

Nitsch, Renate, Messung diagnostischer Kompetenz durch Aufgabenanalysen im Lehramtsstudium 

Mathematik (Regina Bruder) 

150 4 Theses

Osterwinter, Lea Christine, Langfristiger Kompetenzaufbau im mathematischen Problemlösen 

in Lernumgebungen zur Geometrie (Regina Bruder) 

Schmidt, Maike, Ergebnisse des Modellprojektes MABIKOM zu einem binnendifferenzierenden 

Mathematikunterricht in Klasse 6 (Regina Bruder) 

Schwebel, Miriam, Modellierung coexistierender Symbionten und Parasiten (Martin Kiehl) 

Schweier, Stefan, Längsschnittanalyse zum Projekt "MABIKOM" in Klasse 7/8 (Regina 

Bruder) 

Tempel, Andrea, Ergebnisse des Modellprojektes MABIKOM zu einem binnendifferenzierenden 

Mathematikunterricht in Klasse 10 (Regina Bruder) 

Wesp, Timo, Langfristiger Kompetenzaufbau zum mathematischen Argumentieren (Regina 

Bruder) 

Will, Britta Erika, Eine digitale Lernumgebung mit spielerischen Elementen zu Darstellungswechseln 

bei funktionalen Zusammenhängen (Regina Bruder) 

Wondra, Tetyana, Umgang mit Unendlichkeit bei Leibniz, Newton und im heutigen Mathematikunterricht. 

(Burkhard Kümmerer) 

2012 

Bott, Sebastian, Projektions- und Rekonstruktionsmethoden für dreidimensionale Objekte 

(Martin Kiehl, Regina Bruder (Zweitgutachter)) 

Braun, Isabella, Längsschnittlicher Vergleich der Leistungstets im Projekt MABiKOM in der 

Klassenstufe 7 (Regina Bruder) 

Dudek, Justine Maria, Zur Qualitätssicherung binnendifferenzierender Lernmaterialien für 

den Mathematikunterricht (Regina Bruder) 

Graf, Carolin, Längsschnittlicher Überblick über die Ergebnisse auf Schülerebene im Projekt 

MABiKOM (Regina Bruder) 

Heuck, Felix, Entwicklung eines Drehbuchs für ein digitales Mathematik-Lernspiel für die 

Jahrgänge 7-8 (Regina Bruder) 

Jacksteit, Nadine, Entwicklung einer Lernumgebung zur Aussagenlogik für die Sekundarstufe 

I (Regina Bruder) 

Kallenbach, Anne, Eine Lernumgebung zum mathematischen Problemlösen in Klasse 7/8 


Karg, Melanie, Ergebnisse binnendifferenzierenden Mathematikunterrichts in Klasse 5 im 

Projekt MABiKOM (Regina Bruder) 

Krings, Daniel, Förderung selbstregulierten Lernens im Mathematikvorkurs VEMINT-DA 


4.5 Staatsexamen Theses 151

Leismann, Sophia, Analyse von typischen Schülerfehlern im Themenfeld funktionaler Zusammenhänge 


Müller, Daniel, Analyse eines Diagnoseinstrumentes am Ende der Sekundarstufe I (Regina 

Bruder) 

Roder, Ulrike, Diagnose von Lernschwierigkeiten bei linearen Funktionen (Regina Bruder) 

Sauer, René, Von Folgen zu Differentialgleichungen im Analysisunterricht in der gymnasialen 

Oberstufe (Regina Bruder) 

Sauter, Sven, Ein digitales Lernmodul zu Funktionen mit zwei Veränderlichen (Regina 

Bruder) 

Schaaf, Anne Christine, Zur Entwicklung von Schülerleistungen im Projekt MABiKOM in der 

Klassenstufe 9 (Regina Bruder) 

Schulze, Christiane, Lernpotenzial eines interaktiven Whiteboards im Mathematikunterricht 


Schützkowski, Katrin, Untersuchung zum Einfluss verschiedener Lernstile auf die Beurteilung 

von mathematischen Online-Lernspielen (Regina Bruder) 

Szymanski, Stefanie, Zum Einsatz des 3D-Tools GeoGebra 5.0 im Mathematikunterricht der 

Sekundarstufe II (Regina Bruder) 

Weber, Ann-Katrin, Entwicklung von Lernumgebungen zur Förderung der mathematischen 

Argumentationskompetenz (Regina Bruder) 

4.6 Bachelor Theses 

2011 

Arikan, Cennet, Zur Charakterisierung des optimalen Portfolios (Wilhelm Stannat) 

Barbehön, Janine, Optimierung von Materialströmen (Ulf Lorenz) 

Bauer, Rachel, Optimierung dreidimensionaler Spaltprofile (Stefan Ulbrich) 

Berst, Milena, Der Kern und seine Anwendungen in der kooperativen Spieltheorie (Werner 

Krabs) 

Biehl, Johanna, Modellierung des Dynamic Graph Reliability Problems und Lösungsansätze 

(Ulf Lorenz) 

Börner, Susanne, Aggregation of Market Risk (Michael Kohler) 

Burg, Daniela, Regressionsbasierte Monte-Carlo-Verfahren zur Bewertung Amerikanischer 

Optionen unter Verwendung von additiven Modellen basierend auf Splines (Michael 

Kohler) 

Burkhardt, Sina, Ein Branch-and-Price-Algorithmus für Graphenfärbung (Marco Lübbecke) 

152 4 Theses

Dalinger, Alexander, Galoisdarstellungen elliptischer Kurven (Nils Scheithauer) 

Debski, Piotr, Korrelationsangriffe gegen Stromchiffren (Werner Schindler) 

Egert, Moritz, Barenblatt´s solution to the porous medium equation (Robert Haller- 

Dintelmann) 

El Bansarkhani, Rachid, Solving Lattice Problems with Voronoi Cells (Johannes Buchmann) 

Feldman, Yulia, Zu Barriereoptionen im Cox-Ross-Rubinstein Modell (Wilhelm Stannat) 

Fischer, Michael Helmut, Das Haar-Integral (Reinhard Farwig) 

Fujara, Nicola Sophia, A New Homomorphic Cryptosystem with a Double Trapdoor Decryption 

Mechanism (Johannes Buchmann) 

Gally, Tristan, Tikhonov Regularisierung für das inverse Problem der Optionsbepreisung im 

Dupire-Modell (Wilhelm Stannat) 

Gong, Bo, Automorphic L-functions and theta series (Jan Hendrik Bruinier) 

Hanst, Maleen, Die Gruppenstruktur glatter Kubiken (Nils Scheithauer) 

Heßler, Katrin, L-Reihen und Anwendungen (Nils Scheithauer) 

Hildmann, Valentina, Lawson-Algorithmus (Ulrich Reif) 

Hojny, Christopher, Über verteilungsinvariante Risikomaße (Wilhelm Stannat) 

Klepsch, Johannes, Der Preis einer Asiatischen Option im Black-Scholes Modell (Wilhelm 

Stannat) 

Knauf, Konstantin, Zur Bewertung Asiatischer Zinsoptionen im CIR-Modell (Wilhelm Stannat) 

Kopp, Sonja, Effiziente Gradienten- und Hesse-Matrix Berechnung bei gradientenbasierten 

numerischen Optimierungsverfahren angewandt auf atomistische molekulare Simulation 

(Martin Kiehl) 

Lamano, Stefano, On the approximation of the Black-Scholes Model (Wilhelm Stannat) 

Lübbers, Jan Erik, Kalibierung der Volatilität in einem Black-Scholes-Modell mittels Maximum 

Entropy Regularisierung (Wilhelm Stannat) 

Lupp, Daniel Paul, A Simple Proof of the Kronecker-Weber Theorem (Nils Scheithauer) 

Mack, Julia Katharina, Negative Kreise in gerichteten Graphen und konvexe Hüllen (Michael 

Joswig) 

Manasieva, Evgeniya, Performance Analyse und Optimierung von Videoload-Bannern (Michael 

Kohler) 

Miller, Katja, On the stochastic analysis of Integrate-and-Fire models (Wilhelm Stannat) 

Miteva, Velizara Mitkova, Pricing of American Options by regression-based Monte Carlo 

methods using local polynomial kernel estimates (Michael Kohler) 

4.6 Bachelor Theses 153

Nattler, Stefanie, Zum Gefangenendilemma und dessen Bewältigung (Werner Krabs) 

Neis, Ilona, Optimierung spaltprofilierter Blechprofile hinsichtlich thermodynamischer Eigenschaften 


Niel, Lisa Jannic, Finite Elemente Theorie für lineare elliptische partielle Differentialgleichungen 

(Christian Meyer) 

Nietz, Sandra, Drei-Personennullsummenspiele (Werner Krabs) 

Opitz, Sebastian, Vector valued modular forms for the Weil representation (Jan Hendrik Bruinier) 

Petermann-Habich, Tina, Entfaltung 3-dimensionaler Polytope (Michael Joswig) 

Räsch, Sascha Andreas Boris, Two-dimensional circulation-preserving fluid simulation with 

discrete exterior calculus (Andre Stork) 

Rausch, Lea, Input-Optimierung eines hashbasierten Signaturverfahrens (Ulf Lorenz) 

Reiser, Thomas, Optimierte Produktionsplanung für einen Stabwerkdemonstrator (Ulf Lorenz) 

Reiß, Kristina, Congruent Numbers and Elliptic Curves (Jan Hendrik Bruinier) 

Ruhmann, Iris, Kanonische Darstellungen kohärenter Risikomaße (Wilhelm Stannat) 

Schäfer, Helge, Bochner-Räume (Reinhard Farwig) 

Schäfer, Sven Oliver, Minkowskischer Gitterpunktsatz (Ralf Gramlich) 

Schmid, Stefan, Mordell´s Theorem (Nils Scheithauer) 

Schmitt, David Gleb, Regressionsschätzung durch lokale Mittelung mit Implementierung in 

R angewandt in der Finanzmathematik (Michael Kohler) 

Schmitt, Michael Johann, Anwendungen der Second-Order Cone Programmierung (Stefan 

Ulbrich) 

Schwagenscheidt, Markus, Topologische Grundlagen der Distributionentheorie und eine Fundamentallösung 

der Poisson-Gleichung in 3 (Robert Haller-Dintelmann) 

Seehaus, Arne, Revolutionen in der Mathematik: 

(Martin Ziegler) 

Siebert, Sandra Maria, Berechenbarkeitstheorie: 

Robotergesetze (Martin Ziegler) 

Wissenschaftstheoretische Standpunkte 

Church-Turing-Hypothese und Asimovs 

Sowadzki, Claudia, Die Geometrie der Modulgruppe und ihre Präsentierungen (Ralf Gramlich) 

Stahl, Sebastian, Randomisierte Pivotstrategien auf einfachen Polytopen (Michael Joswig) 

Stinson, Felix, Robuste Portfoliooptimierung mit Conditional-Value-at-Rok als Risikomaß 


154 4 Theses

Theuer, Katharina, Modellierung von Zinskurven im Heath-Jarrow-Morton Modell (Wilhelm 

Stannat) 

Tropp, Christopher, H p -Räume und ihre Dualräume (Reinhard Farwig) 

Utz, Marlene Luka, Optimierung in einem virtuellen Warmwalzwerk auf der Simulationsplattform 

TOPSU (Ulf Lorenz) 

Völz, Fabian, Kernbasierte Gewinnaufteilungen balancierter kooperativer n-Personen Spiele 

(Werner Krabs) 

Walter, Philipp, Gemischt-ganzzahlige Optimierung am Beispiel von Losgrößenproblemen 

(Marco Lübbecke) 

Zettler, Julia, Der Rieszsche Darstellungssatz (Reinhard Farwig) 

2012 

Alex, Jerome, Mittlere Krümmung von Polyedrischen Flächen (Karsten Große-Brauckmann) 

Bahrampour, Bardiya, Halbgruppen-Theorie für nichtautonome Cauchy-Probleme (Matthias 

Geißert) 

Barz, Garret, Regressionsbasierte Monte-Carlo-Verfahren zur Bewertung amerikanischer Optionen 

unter Verwendnung des Kernschätzers (Michael Kohler) 

Bazzurro Apolant, Andres, Method of compensated compactness applied to a one-dimensional 

nonlinear hyperbolic equation (Hans-Dieter Alber) 

Bergner, Arnold, Homotopy method for l 1 -minimization (Marc Pfetsch) 

Bitterlich, Julian, Data structures and efficient algorithms for power series in exact real arithmetic 


Brechtel, Joachim Gerhard, Universal consistency of the kernel density estimate (Michael 

Kohler) 

Buck, Johannes Jeremias, The class number formula for quadratic number fields (Nils Scheithauer) 

Christ, Christina, Estimation of a Density from Contaminated Data (Michael Kohler) 

Christoffer, Frauke, Polytope aus Teilgraphen mit Fokus auf serien-parallelen Graphen 


Deiseroth, Björn, Secure Efficient Operations on Non-Integer Values (Stefan Katzenbeisser) 

Diehl, Jasmin, Polytope aus Teilgraphen mit Fokus auf vollständig bipartite Graphen 


Dittmann, Moritz Christopher, An automorphic form of singular weight on O 3,2 () (Nils 

Scheithauer) 


Dück, Viktor, Der T-Wert eines kooperativen Spiels (Werner Krabs) 

Fath, Anna-Franziska, Der Satz von Whitney-Graustein (Karsten Große-Brauckmann) 

Fehr, Victoria, Sophisticated Public-Key Encryption – An elementary introduction to Functional 

Encryption (Michael Wüstner) 

Fitzke, Michael, Panjer-Algorithmus und kollektives Risikomodell (Michael Kohler) 

Frenzel, David, An existence theorem to a phase field model for the evolution of the shape of 

a solid body (Hans-Dieter Alber) 

Friske, Felix, Algebraische Gruppen über den p-adischen Zahlen (Rafael Dahmen) 

Fritzsche, Linda, Empirischer Vergleich von Verfahren nichtparametrischer Regressionsschätzung 

mit realen Daten (mit Programmierteil) (Michael Kohler) 

Gerny, Friedrich, Empirischer Vergleich des Smoothing-Spline-Regressionsschätzers und des 

Partitionenschätzers anhand realer Daten (Michael Kohler) 

Gossmann, Alexej, On disjunction and numerical existence properties of extensions of Heyting 

arithmetic (Ulrich Kohlenbach) 

Grabiec, Anna, Ein Strukturorientierter Vorwärtsmodus des Automatischen Differenzierens 

und dessen Implementierung im MATLAB (Stefan Ulbrich) 

Grasser, Tim, Energy-Preserving Integrators for Fluid Animation with Discrete Exterior Calculus 

on Two-Dimensional Meshes (Andre Stork) 

Hadzhiivanova, Nikoleta, A pi@-calculus based Semantics for S-BPM Processes (Max 

Mühlhäuser) 

Hameister, Martin, Standortoptimierung unter Unsicherheit (Ulf Lorenz) 

Hansmann, Matthias, Numerische Berechnung von Optionspreisen im Heston Modell (Wilhelm 

Stannat) 

Hoffmann, Dustin Ralf, Regression-based Monte Carlo methods for pricing American options 

based on the partitioning estimate (Michael Kohler) 

Hoffmann, Gerhard, Implementation of McEliece using quasi-dyadic Goppa codes (Johannes 

Buchmann) 

Hofmeister, Christina, Optimale Tests bei monotonen Dichtequotienten (Michael Kohler) 

Isufaj, Fatima, Das Polyeder der negativen Flüsse (Michael Joswig) 

Jankoski, David, Graph theoretic approach to network resilience (Thomas Strufe) 

Janocha, Daniel, Schwache Lösung des allgemeinen Stokes-Problems (Hans-Dieter Alber) 

Kemler, Sandra Karina, Anwendung des Biting Lemmas auf ein Variationsproblem der nichtlinearen 

Elastizitätstheorie (Hans-Dieter Alber) 

156 4 Theses

Knapp, Fabian, Effiziente Ermittlung der RNA Sekundärstruktur durch lokale Optimierung 

auf Basis der freien Energie nach Zuker (Martin Kiehl) 

Knobloch, Eduard, Die Zhang und Donoho Kriterien zur Rekonstruktion via l 1 -Minimierung 

(Marc Pfetsch) 

Köster, Thorben, Komplexe Dynamische Systeme (Bálint Farkas) 

Kreiß, Alexander, Existence Theory for one-dimensional Models of Viscoplasticity – Monotone 

Operators (Hans-Dieter Alber) 

Lenhart, Patric, Fairness in Cooperative Game Theory (Werner Krabs) 

Lenz, Lukas, Bewertung Amerikanischer Basket Optionen mit Hilfe von Bäumen (Michael 

Kohler) 

Lettmann, Michael, Vorkonditionierung bei der iterativen Lösung linearer Gleichungssysteme 

(Alf Gerisch / Jens Lang) 

Lukassen, Axel Ariaan, Stückweise kubische Rekonstruktion und deren Gradient von linearen 

Finite Element-Approximationen auf einer Triangulierung (Alf Gerisch / Jens Lang) 

Maasz, Manuel, Optimality of the one-sided Gauß-Test (Michael Kohler) 

Matos Ribeiro, Patrick, (Semi-) Fredholmoperatoren und das essentielle Spektrum (Reinhard 

Farwig) 

Mian, Walid Ahmed, Der Riemannsche Abbildungssatz in mehrfach zusammenhängenden 

Gebieten (Reinhard Farwig) 

Müller, Sabrina, Die Bewertung von Zinsderivaten in Short Rate-Modellen (Wilhelm Stannat) 

Münd, Alexander, Optimale Regularität des Laplace-Operators auf konvexen Gebieten (Jürgen 

Saal) 

Neumann, Eike Frederic, Parametrised Complexity of Functionals on Spaces of Real Functions 


Nockemann, Julian, Von nicht-kooperativer zu kooperativer Spieltheorie (Werner Krabs) 

Nowak, Daniel, Integrierte Klassifikation von Hyperebenen und Merkmal-Auswahl (Marc 

Pfetsch) 

Orlova-Klug, Elena, Anwendung von Szenarioreduktion auf RQLP´s (Ulf Lorenz) 

Penner, Alexander, Dualraum des Hardy-Raumes H 1 auf der komplexen Kreisscheibe (Reinhard 

Farwig) 

Prenzer, Charlotte, Empirical Comparison of Nonparametric Regression Estimates. The k-NN 

and the Random Forest Estimator (Michael Kohler) 

Rasheva, Zlatka Ignatova, Feature Detection within 3D-Face Recontruction (Ulrich Reif) 


Ristl, Konstantin, Optimierung des Conditional Value-at-Risk von Portfolios mit diskreten 

Gewichten (Stefan Ulbrich) 

Ritter, Christian Peter, Regressionsbasierte Monte-Carlo-Verfahren zur Bewertung amerikanischer 

Optionen unter Verwendung von neuronalen Netzen (Michael Kohler) 

Rothenbächer, Ann-Kathrin, Verfahren der nichtparametrischen Regressionsschätzung und 

beispielhafte Anwendung zur Bewertung amerikanischer Optionen (Michael Kohler) 

Salupo, Giuseppe, Robuste Portfolio-Optimierung mit Conditional Value-at-Risk als Risikomaß 


Schaffland, Tim Fabian, Empirischer Vergleich von Verfahren der nichtparametrischen Regressionsschätzung 


Schimmel, Janina, Universal Consistency of the Kernel Density Estimate (Michael Kohler) 

Schmid, Christina, Regression-based Monte Carlo Estimates for Pricing American Options using 

the Kernel Estimates (Michael Kohler) 

Schmidt, Robin, Complex Interpolation, 

Haller-Dintelmann) 

L p -Spaces and the Fourier Transform (Robert 

Schmidt, Roman, Universelle Konsistenz des Kernschätzers (Michael Kohler) 

Schulz, Olga, Dichteschätzung basierend auf realen und künstlich erzeugten Daten (Michael 

Kohler) 

Schwebel, Miriam, Modellierung coexistierender Symbionten und Parasiten (Biologie) 

Starik, Sebastian, Der empirische Vergleich des Tests von Kolmogoroff-Smirnow und des χ 2 - 

Anpassungstests (Michael Kohler) 

Tilev, Ivelin Yanchev, Pricing of American Options by Regression-based Monte Carlo Methods 

with multivariate smoothing splines (Michael Kohler) 

Tolksdorf, Patrick, Riesz-Spectral Theory for the Flexible Beam Equation (Robert Haller- 

Dintelmann) 

Warta, Simon, Deriving Signature Schemes from Public-Key Cryptosystems (Johannes Buchmann) 

Weber, Tobias, On the Model Theory of the Unary Negation Fragment on Finite Graphs (Martin 

Otto) 

Wegmann, David, L p -Theorie starker Lösungen elliptischer partieller Differentialgleichungen 

zweiter Ordnung (Reinhard Farwig) 

Wenz, Sebastian Claus, Theorem of Pollard (Michael Kohler) 

Weyer, Jonas Helmut, Ein neues Relaxationsschema zur numerischen Lösung von MPECs 


158 4 Theses

Will, Karsten, Implementierung und Test von Multirate-Rosenbrock-Verfahren (Alf Gerisch / 

Jens Lang) 

Wu, Jiqing, The Existence of a Weak Solution for a Stationary Phase Field Problem (Hans- 

Dieter Alber) 

Zhou, Li, Portfoliooptimierung im CRR-Modell (Wilhelm Stannat) 

Zhu, Liqun, Bewertung amerikanischer Optionen mit der Finite-Elemente-Methode (Wilhelm 

Stannat) 


5 Presentations 

5.1 Talks and Visits 

5.1.1 Invited Talks and Addresses 


04.05.11 Der Grenzübergang vom Phasenfeldmodell zum Modell mit scharfer Phasengrenze - 

Wie kann man Phasenübergänge effektiv simulieren? 

Kolloquium, Universität Duisburg-Essen 

09.07.12 A phase field model with hyperbolic and parabolic properties - asymptotics and 

numerical efficiency 

Calculus of variations and partial differential equations, Szczawnica 

21.08.12 Basing the plasticity equations on dislocation dynamics - a mathematical theory 

Spectral theory and differential equations, V.N. Karazin Kharkiv National University 

10.12.12 Phase field models for three phase materials and propagation speed of interfaces 

Analysis and applications of pdes: an 80th birthday meeting for Robin Knops, International 

centre for Mathematical Sciences, Edinburgh 

Tristan Alex 

22.06.12 Halbraumsätze im Heisenbergraum 

35. Süddeutsches Kolloquium über Differentialgeometrie 2012, Mainz 

Claudia Alfes 

09.01.12 Towards an algebraic formula for the coefficients of half-integral weight harmonic 

Maass forms 

Number Theory Seminar, University College Dublin 

31.01.12 Appell-Lerch sums, the Mordell integral and W-superalgebras extending gl(1|1) 

Oberseminar Zahlentheorie, Universität Köln 

Maksym Berezhnyi 

23.08.12 Asymmetric Hydrodynamics of Suspensions 

Marchenko Conference, V.N. Karazin Kharkiv National University 

Volker Betz 

03.02.11 Effective density of states of a quantum oscillator coupled to a radiation field 

Workshop of the GDR Quantum Dynamics, Orleans 

March 2011 Minicourse: spatial random permutations 

On the invitation of Erwin Bolthausen, Universität Zürich 

29.06.11 Superadiabatic transitions in quantum molecular dynamics 

Workshop on Mathematical Challenges in Quantum Chemistry, Oberwolfach 

160 5 Presentations

03.11.11 Spatial random permutations and Bose-Einstein condensation 

Workshop on Stochastic Dynamics in Mathematics, Physics and Engineering, Universität 

Bielefeld 


Seminar on mathematical physics, Universität Heidelberg 

04.09.12 Spatial random permutations and Bose-Einstein condensation 

Workshop on Stochastic and Analytic Methods in Mathematical Physics, Yerevan State 

University 


Workshop on Recent developments in the mathematical analysis of large systems, 

Universität Wien 

Dieter Bothe 

17.03.11 Mathematical modeling of reactive multicomponent fluid systems 

Séminar d´Analyse Numerique, University of Rennes 

18.07.11 Transport Processes at Fluidic Interfaces: Sharp Interface Modeling and VOF- 

Simulation 

Heat Transfer Seminar, Université Libre Brussels 

05.10.11 Mathematical Modeling and Direct Numerical Simulation of Transport Processes at 

Fluidic Interfaces 

1st International Symposium on Multiscale Multiphase Process Engineerings, 

Kanazawa 

22.11.11 Continuum thermodynamics of chemically reacting fluid mixtures and the Maxwell- 

Stefan equations of multicomponent mass transport 

Universität Halle-Wittenberg 

24.05.12 Mathematical Modeling and Direct Numerical Simulation of Transport Processes at 

Fludic Interfaces 

5th International Workshop on Bubble and Droplet Interfaces, Krakow 

13.06.12 Continuum-thermodynamics of chemically reacting multicomponent fluid systems 

12th International Conference on Free Boundary Problems, Frauenchiemsee 

15.06.12 Modeling and Simulation of Thermocapillary Evaporative Flows 

12th International Conference on Free Boundary Problems, Frauenchiemsee 

Regina Bruder 

20.01.11 Ein Unterrichtskonzept zu einem binnendifferenzierenden Mathematikunterricht 

mit ersten Erprobungsergebnissen aus dem Projekt MABIKOM 

Vortrag im Rahmen des Kolloquiums zur Mathematik und ihrer Didaktik, Koblenz 

24.01.11 Gestaltungselemente zur Binnendifferenzierung im Mathematikunterricht mit den 

Fachberatern Mathematik (H/R) 

Workshop, Frankfurt 

5.1 Talks and Visits 161

25.01.11 Risiken und Nebenwirkungen beim Technologieeinsatz im Mathematikunterricht – 

Konzept und Ergebnisse des CAS-Projektes CAliMERO in Niedersachsen 

Didaktisches Kolloquium der TU Braunschweig 

05.02.11 Förderung leistungsstarker Schüler/innen im Mathematikunterricht 

Workshop auf der Fachtagung "Potenziale erkennen – Persönlichkeiten stärken", Brühl 

09.02.11 Hausaufgaben 

Workshop, Saarbrücken-Dudweiler 

11.02.11 Wie kann man Mathematik nachhaltig lernen? 

70. Ernst-Schröder Kolloquium, Darmstadt 

22.02.11 Ein Unterrichtskonzept zur individuellen Förderung von Problemlösekompetenz 

Lehrertag der GDM-Jahrestagung, Freiburg 

03.03.11 Langfristig und nachhaltig Kompetenzen entwickeln in heterogenen Lerngruppen - 

aber wie? 

Hauptvortrag zu den 16. Tagen des mathematischen und naturwissenschaftlichen 

Unterrichts, Erfurt 

26.03.11 Problemlösen lernen - aber wie? 

Tag der Mathematik, Heilbronn 

08.04.11 Binnendifferenzierender Mathematikunterricht auch mit Technologieeinsatz – 

Erkenntnisse aus dem Niedersächsischen Modellversuch MABIKOM 

MNU-Tagung, Mainz 

09.05.11 Problemlösen kann man im Mathematikunterricht lernen - aber wie? 

Fachdidaktisches Kolloquium der Fakultät für Mathematik, Universität Wien 

25.05.11 Binnendifferenzierung im Mathematikunterricht 

Fortbildungsveranstaltung “Mathe anders machen”, Gütersloh 

15.06011 Gestaltungselemente zur Binnendifferenzierung im Mathematikunterricht 

Multiplikatorenfortbildung, Kiel 

21.06.11 Binnendifferenzierende Elemente in einem kompetenzorientierten Unterricht – 

Konzept und erste Ergebnisse aus dem Projekt MABIKOM 

Didaktisches Kolloquium, Universität Bremen 

30.06.11 Computeralgebrasystemen im Mathematikunterricht der gymnasialen Oberstufe 

Landesfortbildungstagung, Ludwigsfelde-Struveshof, LISUM 

13.09.11 Methodisch-Didaktische Aspekte für spielerisches Lernen 

Game Days, Darmstadt 

14.09.11 Langfristiger Kompetenzaufbau in heterogenen Lerngruppen 

Hauptvortrag auf der MNU-Tagung, Hannover 

21.09.11 Ein Unterrichtskonzept zur Binnendifferenzierung im Mathematikunterricht 

Lehrerfortbildungsveranstaltung im Rahmen von "‘Mathematik anders machen"’ der 

Deutsche Telekom Stiftung, Löhne 

162 5 Presentations

26.09.11 Individueller Kompetenzaufbau in heterogenen Lerngruppen - ein Unterrichtskonzept 

Fachdidaktiktag, Graz 

26.09.11 Kompetenzentwicklungsmodelle - Wege zu einem langfristigen Kompetenzaufbau 

Fachdidaktiktag, Graz 

27.09.11 Kompetenzerwerb beim Problemlösen im Mathematikunterricht 

Vortrag auf der MNU-Tagung, Dortmund 

28.10.11 Konstruktiver Umgang mit Heterogenität: Aufgabenvielfalt für unterschiedliche 

Lernstile 

Kiel 

14.11.11 Langfristiger Kompetenzaufbau im mathematischen Argumentieren in den Sekundarstufen 

- ganz konkret 

4. Regionalkonferenz "Mathematik kann jeder", Fulda 

09.01.12 Modelle und Methoden für einen langfristigen und nachhaltigen Kompetenzaufbau 

im Mathematikunterricht 

Kolloquium am Fachbereich Mathematik, Universität Kassel 

16.01.12 Kompetenzmodellierung im Bereich Wechsel von Darstellungsformen funktionaler 

Zusammenhänge - Methoden und Ergebnisse des Projektes HEUREKO 

Didaktisches Kolloquium, Universität Landa 

06.03.12 Konsequenzen aus den Kompetenzen? 

Jahrestagung der GDM, Weingarten 

07.05.12 Vorstellung der AG Fachdidaktik 

Sitzung des Zentrums für Lehrerbildung, TU Darmstadt 

14.05.12 Mathematisches Problemlösen kann man lernen - Forschungsstationen auf dem Weg 

zu einem Unterrichtskonzept 

Didaktisches Kolloquium, Universität Paderborn 

29.05.12 Mathematische Kompetenzen entwickeln in heterogenen Lerngruppen 

Vorträge zur Lehrerfortbildung, Darmstadt 

30.05.12 Mathematische Kompetenzen entwickeln in heterogenen Lerngruppen 

Vorträge zur Lehrerfortbildung, Mathematikum, Giessen 

31.05.12 Stand und den Perspektiven der Fachdidaktik 

Workshop "Fachdidaktische Studien", Forschungs- und Studienzentrum für Pädagogik, 

Basel 

01.06.12 Den individuellen Lernmöglichkeiten und -bedürfnissen im Mathematikunterricht 

besser gerecht werden - mit CAS 

Regionaltagung t 3 , Hamburg 


21.06.12 Was ist aus MABIKOM übertragbar? Elemente eines Unterrichtskonzeptes zur Binnendifferenzierung 

in der SII/FOS 

Informationsveranstaltung zum Transferprozess des Modellprojektes MABIKOM in 

die SII 

11.07.12 Eight target structure types of tasks as background for learning sourroundings 

ICME12, Seoul 

20.09.12 Serious games im Mathematikunterricht 

Game Days, Darmstadt 

08.10.12 Kompetenzentwicklungsmodelle - Wege zu einem langfristigen Kompetenzaufbau im 

Mathematikunterricht 

Vortrag zu den Wiener Bildungsgesprächen im Stadtschulamt, Wien 

09.10.12 Wege zu einem langfristigen Kompetenzaufbau im Mathematikunterricht 

Mathematiktag für Hauptschule, Wien 

10.11.12 Argumentieren lernen im Mathematikunterricht 

Hauptvortrag auf der 9. Niedersächsischen t 3 -Regionaltagung, 


17.03.11 Harmonic Maass forms and periods 

Conference Modular Forms and Mock Modular Forms and their Applications in Arithmetic, 

Geometry and Physics, ICTP Trieste, 14.3.11–18.03.11 


Number Theory Seminar, Universität Köln 

07.06.11 Die Arithmetik von Partitionen 

Mathematisches Kolloquium, Universität Hamburg 


Tagung Algebraische Zahlentheorie, Mathematisches Forschungsinstitut, Oberwolfach, 

20.06.11–24.06.11 

06.07.11 Die Arithmetik von Partitionen 

Mathematisches Kolloquium, TU Darmstadt 


Conference Computations with Modular Forms, Universität Heidelberg, 03.09.11– 

07.09.11 

21.09.11 On the converse theorem for Borcherds products 

Conference Conformal Field Theory, Automorphic Forms and Related Topics, Universität 

Heidelberg, 19.09.11–23.09.11 


Workshop Lattices, codes and modular forms, RWTH Aachen 


Workshop Cycles on modular varieties, Banff International Research Station, Canada 

164 5 Presentations

10.11.11 Die Gross–Zagier-Formel und Borcherds-Produkte 

Mathematisches Kolloquium, Universität Göttingen 

29.02.12 Regularized theta lifts over totally real fields 

Symposium Modular Forms, Mock Theta Functions, and Applications, Universität Köln, 

27.02.12–01.03.12 


Seminar on Number Theory and Physics, Max-Planck-Institute for Mathematics, Bonn 

01.08.12 Borcherds products and applications 

Summer school on Automorphic Forms and related topics, RWTH Aachen, 30.07.12– 

04.08.12 

23.11.12 Erzeugende Reihen und Schnittpaarungen von arithmetischen Divisoren 

Hauptseminar Algebra und Zahlentheorie, Universität Heidelberg 

20.12.12 Arithmetic theta lifts of harmonic Maass forms 

Conference The Legacy of Srinivasa Ramanujan, University of Delhi, 17.12.12– 

22.12.12 

Sarah Drewes 

07.04.11 Exploiting structure in outer approximation based approaches for SOCP 

Algebra and Discrete Mathematics Seminar, University of California, Davis 

14.04.11 Methods to solve Mixed Integer Second Order Cone Programming Problems 

Industrial Engineering and Operations Research Seminar, University of California, 

Berkeley 

17.05.11 Maximizing expected utility in the presence of discrete decisions 

SIAM Conference on Optimization 2011, Darmstadt 

20.06.11 Cover Inequalities for Mixed-01 Nonlinear Programming 

Mixed Integer Programming Workshop 2011, Waterloo 

Moritz Egert 

03.10.12 Square Roots of Elliptic Systems 

Louisiana State University 

Herbert Egger 

10.10.12 Analysis and Numerical Methods for Fluorescence Diffuse Optical Tomography 

Oberseminar Angewandte Mathematik, Universität Münster 

24.10.12 Numerical Realization of Tikhonov Regularization 

Workshop on Computational Inverse Problems, Oberwolfach 

Stephan Ehlen 

25.03.11 Twisted traces of CM values of modular functions 

25th Automorphic Forms Workshop, Oregon State University, Corvallis, 23.- 

26.03.2011 



Explicit theory of automorphic forms, applications and computations, CIRM, Luminy, 

09.-13.05.2013 


Hauptseminar Modulformen, Universität Heidelberg 

17.01.12 Twisted theta liftings for orthogonal groups and applications 

Oberseminar Zahlentheorie, Universität Köln 

27.04.12 CM values of Borcherds products and harmonic weak Maass forms of weight one 

26th Automorphic Forms Workshop, Vancouver, 26.-29.04.2012 

02.08.12 Borcherds products and applications 

Summer school on Automorphic Forms and related topics, RWTH Aachen, 30.07.- 

04.08.2012 

08.08.12 CM values of Borcherds products and harmonic weak Maass forms of weight one 

Conference on Automorphic Forms and related topics, RWTH Aachen, 06.08.- 

10.08.2012 

20.12.12 Simple lattices of signature (2,n) 

Number Theory Afternoon, Universität Siegen 


01.03.11 Are Weak Solutions of the Navier-Stokes Equations Regular? 

German-Japanese International Workshop, TU Darmstadt 

14.06.11 On the Energy Equality of the Navier-Stokes Equations in Unbounded Domains 

Workshop on the Navier-Stokes Equations, RWTH Aachen 

28.11.11 Weak solutions of the nonstationary Navier-Stokes equations and their regularity 

4th Japanese-German International Workshop on Mathematical Fluid Dynamics, 

Waseda University Tokyo 

02.07.12 On the energy equality of the Navier-Stokes Equations 

6th European Congress of Mathematics, Krakow 

02.09.12 Concentration-Diffusion Phenomena for the Boussinesq System 

Parabolic and Navier-Stokes Equations Conference 2012, Banach Center Bedlewo 

05.11.12 Concentration-Diffusion Phenomena for the Boussinesq System 


Waseda University Tokyo 

05.11.12 How Fast Do Solutions to the Boussinesq System in n Decay? 

Tokyo Institute of Technology 

Walter Freyn 

24.03.11 Kac-Moody geometry 

New York Algebra Colloquium, New York 

166 5 Presentations


Geometry-Topology seminar, University of Maryland, College Park 

05.04.11 From permutations to Kac-Moody geometry 

Colloquium of the department of mathematics, Oregon State University, Corvallis 


Annual meeting of the Israel mathematical Society, Bar Ilan 

22.05.11 Kac-Moody geometry: From symmetries to geometry 

Seminar of the Emmy Noether Institut, Bar Ilan 

08.08.11 Affine Kac-Moody symmetric spaces 

Encontro Paulista de Geometria, Sao Paulo 

19.08.11 Twin cities 

Seminario de Geometria, Sao Paulo 

26.08.11 Kac-Moody symmetric spaces 

Symposium on Symmetric Spaces, Augsburg 


DFG-JSPS Seminar “Lie Groups: Geometry and Analysis”, Paderborn 

27.09.11 Twin cities 

Johns Hopkins University Baltimore 

12.10.11 Kac-Moody symmetric spaces 

Colloquium of the Hausdorff-Institut, Bonn 

14.12.11 From S L(2) and hyperbolic space to hyperbolic Kac-Moody algebras and their buildings 

Seminar für Algebra, Universität Giessen 


Max-Planck Institut for Gravitation, Potsdam 

09.04.12 Towards hyperbolic Kac-Moody geometry 

Oberwolfach Research Institut, Oberwolfach 


Oberwolfach Research Institut, Oberwolfach 


UCL Louvain 

03.05.12 From SL(2) and hyperbolic space to hyperbolic Kac-Moody algebras and their buildings 

University of Pittsburgh 

18.09.12 Combinatorial geometry of Chevalley groups 

Johns Hopkins University Baltimore 



Rutgers University, New Brunswick 

Andreas Gärtner 

26.01.11 Idempotent Markov operators 

WIMCS Stochastic Cluster Meeting: Trends in Quantum Probability and Stochastics, 

Aberystwyth (Wales) 

06.09.12 Recurrence, Transience and Noncommutative Poisson Integrals 

2012 LMS Midlands Regional Meeting & Workshop on Quantum Probabilistic Symmetries, 

Aberystwyth (Wales) 

Matthias Geissert 

11.06.12 Analytical Aspects of Complex Fluids 

The 5th Japanese-German International Workshop on Fluid Dynamics, Tokyo 

Alf Gerisch 

05.04.11 Fast evaluation of integral terms in a nonlocal PDE model of cellular adhesion 

Spring School on Evolution Equations, Universität Konstanz 

13.11.12 Mathematical modelling and numerical simulation of mechanical properties of 

muskuloskeletal mineralized tissues 

Conference and Workshop on Modelling and Computation in Musculoskeletal Engineering 

(MCME), Brisbane 

Jane Ghiglieri 

04.07.11 Optimale Strömungskontrolle mit Plasmaaktuatoren 

Oberseminar Numerische Mathematik, Optimierung und Dynamische Systeme, Universität 

Bayreuth 

13.04.12 Optimale Strömungskontrolle basierend auf MPC und POD zur Auslöschung von 

Tollmien-Schlichting Wellen mit Plasma Aktuatoren 

Institut für Strömungsmechanik, TU Dresden 


01.07.11 Applications of Logic to Analysis 

Joint Mathematics Meetings, New Orleans 

08.12.11 The descriptive set theoretic complexity of the set of points of continuity of a multivalued 

function 

Oberseminar Fachbereich Mathematik und Informatik, Universität Münster 


17.06.11 Binäre Teilungen und die Antwort auf alle Fragen 

PriMa-Projekt / Talentförderung Mathematik Hamburg, Universität Hamburg 

26.10.11 Chaos, Entropie und die Lösung aller Probleme 

Kolloquium Mathematik und ihre Didaktik, Universität Koblenz-Landau 

168 5 Presentations

10.03.12 Chaos, Entropie und die Lösung aller Probleme 

Tag der Mathematik, Universität Koblenz-Landau 

02.07.12 Ergodic theory and topological intersections as a tool to solve geometrical problems 

(invited talk at special session on ‘Topological and Combinatorial Dynamics’) 

AIMS Conference on Dynamical Systems, Differential Equations and Applications, 

Orlando 

Karsten Grosse-Brauckmann 

06.04.11 Two Examples of Minimal Surfaces and their Relatives 

Surface Theory in 3-manifolds, Sevilla 

04.10.11 Mathematics of Minimal Surfaces 

Geometry of Interfaces, Primosten 

12.03.12 Dreifach periodische Minimalflächen 

AG-Workshop, Weinheim 

Kai Habermehl 

23.08.12 Robust design of active trusses via mixed integer nonlinear semidefinite programming 

International Symposium on Mathematical Programming (ISMP) 2012, Berlin 

Robert Haller-Dintelmann 

14.12.11 Hardy’s inequality for mixed boundary conditions 

Berliner Oberseminar “Nichtlineare partielle Differentialgleichungen” (Langenbach- 

Seminar), Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS), 

Berlin 

Katrin Herr 

28.10.11 Core sets and symmetric fibrations 

Workshop on Polyhedra, Symmetry, and Optimization, Universität Rostock 


17.02.11 Viscoelastic flows past rotating bodies 

Fluidmechanic Seminar, University of Pittsburgh 

14.04.11 Presentation IRTG 1529 

DFG-JSPS Workshop, Waseda University, Tokyo 

13.05.11 Aspects of maximal regularity for evolution equations 

PDE Seminar, UC Santa Barbara 

26.05.11 Global existence for Oldroyd-B fluids in exterior domains 

International Conference Fluid Mechanics, Luminy, Marseille 

30.08.11 Stability of Ekman layers 

Special Program on Inverse Problems, Newton Institute Cambridge 


25.09.11 Two-phase free boundary value problems 

International Conference on Gas Dynamics, Jinhua 

30.09.11 Complex Fluids 

PDE Seminar, Zhejiang University, Hangzhou 

12.10.11 Deterministic and stochastic stability of Ekman layers 

International Conference on Evolution Equations, Bad Herrenalp 

14.11.11 Free boundary value problems for fluids 

SIAM Conference on PDE, San Diego 

01.12.11 Existence results for viscoelastic fluids 

IRTG-Workshop, Waseda University, Tokyo 

15.12.11 Funktionalkalküle und ihre Anwendungen 

Kolloquium, Universität Regensburg 

19.03.12 Analytical aspects of geophysical flows, part I-IV 

Springschool Evolution Equations, Universität Bielefeld 

27.03.12 Presentation IRTG 1529 

GAMM 2012, Darmstadt 

03.07.12 Navier-Stokes equations with linearly growing data 

PDE-Seminar, Lecce 

07.08.12 Hyperbolic-Parabolic systems in fluid dynamics 

International Conference on Fluids and Waves, Waseda University, Tokyo 

15.08.12 Weak Neumann implies Stokes 

Workshop Hydromechanics, Oberwolfach 

26.10.12 On Hyperbolic-Parabolic Systems 

Seminar, WIAS Berlin 

09.11.12 The equations of Navier-Stokes in the rotational framework 

IRTG-Workshop, Waseda University, Tokyo 

20.11.12 Quasilinear parabolic evolution equations, part I-IV 

Lecture Series, Polish Academy of Sciences, Warsaw 


12.04.11 On certain subgroups of compact groups 

Colloquium, Dalhousie University in Halifax 

03.05.11 The cardinality of closed subgroups of compact groups 

Colloquium, University of Palermo, 

04.12.12 Der Mathematiker W.A.F. Ruppert 

Festkolloquium, Universität für Bodenkultur, Wien 

170 5 Presentations

Silke Horn 

16.05.12 Topological Representations of Tropical Oriented Matroids 

Combinatorics Seminar, Aalto University, Finland 

06.06.12 A Topological Representation Theorem for Tropical Oriented Matroids 

Combinatorics Seminar, Universität Bremen 

17.09.12 Tropical Oriented Matroids 

Annual Meeting of the DMV, Universität des Saarlandes, Saarbrücken 

Imke Joormann 

05.03.12 Analyzing conflicts in natural gas networks 

International Conference on High Performance Scientific Computing 2012, Hanoi, 

Vietnam 

22.08.12 Analyzing infeasibilities in natural gas networks 



08.02.11 Computing bounded subcomplexes of unbounded polyhedra 

Workshop: Topological and Geometric Combinatorics, Oberwolfach 

08.04.11 Tropical hyperplane arrangements and associated monomial ideals 

Kolloquium, Universität Osnabrück 

28.06.11 Dressians and their rays 

Conference on “Tropical Geometry”, University of Birmingham, England 

02.09.11 Highly symmetric integer linear programs 

University of California, Davis, USA 

14.09.11 Splitting polytopes 

San Francisco State University, USA 

06.10.11 Splitting polytopes 

University of California, Los Angeles, USA 

24.10.11 Totally splittable polytopes 

ERC Workshop, FU Berlin 

14.12.11 Dressians, tropical Grassmannians, and their rays 

CIEM, Castro Urdiales, Spain 

02.04.12 Tropical convexity and type ideals 

ICMS Edinburgh, Scotland 

30.04.12 Triangulations of products of simplices with a view towards tropical geometry 

Workshop: Triangulations, Oberwolfach 

19.06.12 An introduction to polymake 2.12 

Minisymposium on Publicly Available Geometric/Topological Software, University of 

North Carolina, Chapel Hill, USA 


20.11.12 Lattice polygons and real roots 

University of Queensland, Brisbane, Australia 

30.11.12 Tropical combinatorics 

University of Sydney, Australia 

13.12.12 polymake for high-dimensional computational geometry 

CGL Review Meeting, Berlin 

Klaus Keimel 

21.06.11 Lokal konvexe Kegel und ein Satz von Schröder und Simpson 

Universität Siegen 

11.10.11 Betting, imprecise probabilities and Łukasiewicz logic 

Mal’tsev Meeting, Sobolev Institute, Novosibirsk, Russia 

3.–14.12.11 Domain theory and its applications in semantics 

Series of ten lectures, Al-Farabi Kazakh National University, Almaty, Kazakstan 

05.10.12 Begegnungen mit Karl Heinrich Hofmann und seiner Mathematik 

Festkolloqium anläßlich des 80. Geburtstages von Karl Heinrich Hofmann, TU Darmstadt 

Martin Kiehl 

26.02.2011 Die Mathematik im Puzzlestein – Warum Mathematiker ein Leben lang spielen? 

Mathematikolympiade Hessen, Darmstadt 

26.03.2011 Die Mathematik im Puzzlestein – Warum Mathematiker ein Leben lang spielen? 

Tag der Mathematik, Reinheim 

25.02.2012 Gier – Manchmal ein Weg zum Erfolg 

Mathematikolympiade Hessen, Darmstadt 

10.03.2012 Gier – Manchmal ein Weg zum Erfolg 

Tag der Mathematik, Reinheim 

Matthias Köhne 

08.05.12 On Incompressible Newtonian Flows – Artificial Boundary Conditions and Free 

Boundary Problems 

Seminar Thermodynamische Modellierung und Analyse von Phasenübergängen, 

WIAS Berlin 

29.06.12 On Incompressible Newtonian Flows – Artificial Boundary Conditions and Associated 

Semigroups, Free Boundaries and Qualitative Behaviour 

Oberseminar Analysis, Universität Regensburg 

18.09.12 On Incompressible Newtonian Flows in Domains with Artificial Boundaries 

Minisymposium Complex Fluids, DMV-Jahrestagung, Universität Saarbrücken 

172 5 Presentations


07.01.11 Uniform Bounds from Proofs in Nonlinear Ergodic and Fixed Point Theory (invited 

talk at special session on ‘Logic and Analysis’) 

Joint Mathematics Meeting, New Orleans 

01.04.11 Proof Interpretations and Their Use in Nonlinear Analysis 

Logic Seminar, Bucharest 

06.04.11 Applied Proof Theory 

Colloquium Lecture, Romanian Academy, Bucharest 

28.04.11 Proof Interpretations and Their Application to Current Mathematics 

Conference honoring the Winners of the Kurt Gödel Research Prize Fellowships 2008 

and 2011, Wien 

18.05.11 Proof Interpretations and Their Use in Nonlinear Analysis and Ergodic Theory 

Logic Seminar Talk, Freiburg 

25.05.11 Functional Interpretation of Proofs in Ergodic Theory and Combinatorics 

Ramsey Theory in Logic, Combinatorics and Complexity ‘RaTLoCC 2011’, Bertinoro 

23.06.11 Logical Extraction of Effective Bounds from Proofs in Nonlinear Ergodic Theory 

Logic Seminar Talk, Carnegie Mellon University, Pittsburgh 


Talk at Logic and Computation Seminar, University of Pennsylvania, Philadelphia 


Talk at New York Logic Colloquium and Computational Logic Seminar, Graduate Center 

of CUNY, New York 


Workshop on Proof Theory and Computability Theory 2012, Tokyo 

08.06.12 Recent Developments in Proof Mining: Bounds from Proofs in Nonlinear Ergodic 

Theory 

15th Latin American Symposium on Mathematical Logic, Bogota 


10th International Conference of Fixed Point Theory and its Applications, Cluj- 

Napoca 

26.08.12 Proof Mining 

5 hours course at MALOA Training Workshop, Oxford 

11.10.12 A Logic-Based Approach to Fixed Point Theory: Effective Uniform Rates of Convergence 

in Fixed Point and Ergodic Theory 

International Workshop on Fixed Point Theory and Applications, Istanbul 



16.09.11 On nonparametric regression with random design 

Workshop on Probability Estimation in Prognostics, Zürich 

16.01.12 Nichtparametrische Regression und ihre Anwendungen 

Universität Ulm 

17.01.12 Nichtparametrische Regression und ihre Anwendungen 

Universität Stuttgart 

20.11.12 Statistische Methoden bei der Bewertung der Betriebsfestigkeit verzweigter Blechtstrukturen 

TU Dortmund 

Oliver Kolb 

06.09.12 Combination of Linear and Nonlinear Programming Techniques for the Solution of 

Mixed Integer Optimization Problems in Water Supply Networks 

Conference on Modelling, Simulation and Optimization in Applications, Darmstadt 

Rolf Sören Kraußhar 

08.04.11 Hypercomplex-analytic automorphic forms and boundary value problems on some 

Riemannian manifolds 

Festkolloquium, TU Graz 

06.07.11 Hyperkomplex-analytische Spitzenformen 

Universität Heidelberg 

20.07.11 Several classes of hypercomplex-analytic automorphic forms 

ICCA 9 Weimar 

25.11.11 Explicit solutions for some boundary value problems on classes of conformally flat 

manifolds 

Universität Marburg 

02.07.12 Hyperkomplexe Modulformen 

Universität Würzburg 

03.07.12 Some harmonic analysis on the Möbius strip and the Klein bottle in R n 

IKM 2012 Weimar 

19.07.12 Hyperkomplexe Modulformen 

Universität Erfurt 

Burkhard Kümmerer 

18.01.11 Mathematik zwischen Anschauung und Sprache 

Seminar für Mathematik und ihre Didaktik, Universität Köln 

28.06.11 Mathematik zwischen Anschauung und Sprache 

Mathematisches Kolloquium (Didaktik), RWTH Aachen 

174 5 Presentations

11.07.11 Exaktes “Sampling” ohne “Sample”: Ein Propp-Wilson Algorithmus für quantenmechanische 

Gleichgewichtszustände 

Kolloquium Mathematische Physik, Bielefelder Graduiertenschule in den Theoretischen 

Wissenschaften, Universität Bielefeld 

25.06.12 Mathematik findet im Kopf statt 

Kolloquium Didaktik der Mathematik, Universität Duisburg-Essen 

06.09.12 A Propp-Wilson algorithm for quantum equilibrium states 


Aberystwyth, Wales 

Jens Lang 

15.01.11 W-Methods for Optimal Control 

Jan Verwer’s 65th Birthday - Farewell Conference, CWI Amsterdam 

28.01.11 Model Reduction in Unsteady Transport Systems 

Workshop on Model Order Reduction, WIAS Berlin 

08.11.11 Linearly Implicit Methods for Optimal Control Problems 

Mathematical Seminar, Geneva 

01.04.12 Linearly Implicit Time Integrators for Optimal Control Problems 

AMS Meeting, Lawrence 

26.04.12 Adaptive Time Integrators in Computational Fluid Dynamics 

Workshop on Adaptive Methods with Applications in Fluid Dynamics, WIAS Berlin 

07.05.12 Model Reduction in Unsteady Transport Systems 

Mathematical Seminar, Geosciences Department, Frankfurt 

21.05.12 Adaptive Multilevel Methods for Large-Scale Optimal Control Problems 

Mathematical Seminar, Leuven 

10.07.12 Adaptive Moving Meshes in Large Eddy Simulation for Turbulent Flows 

World Congress of Computational Mechanics, Special Session in Honor of J. Tinsley 

Oden’s 75th Birthday, Sao Paulo 

10.08.12 Surrogate Modelling in Unsteady Transport Systems 

Workshop on Surrogate Modelling and Space Mapping for Engineering Optimization, 

Reykjavik 

Davorin Lešnik 

17.06.12 Topologies in functional analysis, synthetically 

Fourth Workshop on Formal Topology, Ljubljana 

Andrew Linshaw 

04.03.11 Invariant subalgebras of vertex algebras 

Infinite-dimensional algebra seminar, MIT, Boston 


11.03.11 Introduction to vertex algebras and some connections with classical invariant theory 

Graduate Colloquium, University of Denver 

01.06.11 Introduction to -algebras 

Max Planck Institute for Gravitational Physics, Potsdam 

24.06.11 Invariant subalgebras of affine vertex algebras 

Lie Theory and its Applications in Physics, Bulgarian Academy of Sciences, INRNE, 

Varna 

07.02.12 Jet schemes and invariant theory 

Algebra Seminar, SUNY Binghamton 

09.03.12 Jet schemes and invariant theory 

Infinite-Dimensional Algebra Seminar, MIT, Boston 

16.03.12 Invariant subalgebras of affine vertex algebras 

Algebra and Combinatorics Seminar, North Carolina State University 


Infinite Dimensional Lie Theory: algebra, geometry, and combinatorics, CRM, Montreal 


Algebra and Topology Seminar, University of Albany 


Colloquium, College of Charleston 

20.11.12 Chiral equivariant cohomology 

Algebra Seminar, SUNY Binghamton 

22.11.12 Chiral equivariant cohomology 

Colloquium, Laval University 


Colloquium, SUNY Binghamton 

Sonja Mars 

23.08.12 Approaches to solve mixed-integer semidefinite programmes 

International Symposion on Mathematical Programming (ISMP) 2012, Berlin 

09.10.12 Using SCIP to solve mixed-integer semidefinite programmes 

SCIP Workshop 2012, Darmstadt 

Manuel Nesensohn 

04.07.11 L p -theory for a generalized nonlinear viscoleastic fluid model of differential type 

IRTG 1529 Klausurtagung, Heppenheim 

29.11.11 L p -theory for a generalized viscoelastic fluid model on a fix domain and with a free 

surface 


Tokyo 

176 5 Presentations

12.07.12 L p -theory for a class of viscoelastic fluid models 

Workshop on Complex Fluids, Darmstadt 

17.07.12 L p -theory for a viscoelastic fluid model of differential type 

Universität Hannover 

17.09.12 L p -theory for a certain class of viscoelastic fluid models 

DMV-Jahrestagung, Saarbrücken 

06.11.12 On global L p -solutions for some Oldroyd models on bounded domains 


Tokyo 

Martin Otto 

15.07.11 Tractable Finite Models 

Logic Colloquium, Barcelona 

15.09.11 The Freedoms of Guarded Bisimulation 

Computer Science Logic, Bergen 

05.12.11 Controlling Cycles in Finite Hypergraphs 

Methods for Discrete Structures, Graduiertenkolleg, Berlin 

17.05.12 Finite Model Constructions for Guarded Logics 

Summer School on Finite and Algorithmic Model Theory, Les Houches 

23.10.12 Pebble Games and Linear Equations 

Kolloquium Mathematische Informatik, Universität Frankfurt 

Andreas Paffenholz 

14.06.11 Exploring Geometry with polymake 

San Francisco State University, USA 

20.09.11 Permutation Polytopes 

DMV-Tagung 2011, Köln 


Oberseminar AG Diskrete Mathematik, Universität Frankfurt 


Oberseminar AG Gruppen und Geometrie, Universität Bielefeld 

24.08.12 Permutation, Marginal, and Cut Polytopes 


15.12.12 Polyhedral Adjunction Theory 

Computational Geometry Seminar, University of Sydney, Australia 

18.12.12 Structure and Classifications of Fano Polytopes 

Oberseminar AG Algebra und Geometrie, Universität Magdeburg 


Marc Pfetsch 

16.05.12 Compressed Sensing and Discrete Optimization 

Seminar Working Group Discrete Mathematics, Universität Frankfurt 

11.07.12 Compressed Sensing und Diskrete Optimierung 

Inaugural lecture, TU Darmstadt 

24.08.12 A computational comparison of symmetry handling methods in integer programming 


30.11.12 Compressed Sensing and Discrete Optimization 

Colloquium, Liège, Belgium 

03.12.12 Coloring and Symmetries 

Mathematical Colloquium, Universität Paderborn 

11.12.12 Computational Solver Comparison for Basis Pursuit 

Workshop “Sparse Representation of Functions: Analytic and Computational Aspects”, 

Berlin 

Ulrich Reif 

25.05.11 Ambient B-Splines 

Workshop Geometric Modeling, Dagstuhl 

18.09.11 Surface Representations – Retrospects and Prospects 

Workshop Subdivision and Refinability, Pontignano 

27.09.11 Surface Modeling beyond NURBS 

SAGA Fall School, Vilnius 

07.12.11 Surface Modeling beyond NURBS 

University of Lugano 

20.02.12 A Brief History of Subdivision 

BMS Days, FU Berlin 

24.04.12 Multivariate Interpolation and Approximation with Polynomials 

Universität Göttingen 

12.06.12 Approximation with Ambient B-Splines 

University of Cambridge 

05.09.12 Analysis of Geometric Subdivision Schemes 

Workshop on New Trends in Subdivision and Related Applications, Milan 

27.11.12 Analysis geometrischer Subdivisionsalgorithmen 

Universität Passau 

178 5 Presentations

Walter Reußwig 

26.01.11 A Class of Finitely Correlated States and Entanglement 

WIMCS Stochastic Cluster Meeting: Trends in Quantum Probability and Stochastics, 


06.09.12 On entanglement of states on infinite tensor product algebras 



Steffen Roch 

26.–30.09.11 Fractal Algebras of Approximation Sequences 

Summer School on “Applied Analysis“ TU Chemnitz, 3 lectures 

Jürgen Saal 

13.04.11 A vector measure approach to rotating boundary layers 

Vanderbilt University 

18.05.11 Analysis of a general model in elektrokinetics 

DMV-Tagung, Köln 


Universität Halle 


Conference on Vorticity, Rotation and Symmetry (II) - Regularity of Fluid Motion, 

Luminy 

18.07.11 Hyperbolic Navier-Stokes equations 

ICIAM 2011, Vancouver 


Conference on Evolution Equations: Randomness and Asymptotics, Bad Herrenalb 

14.03.12 Exponential convergence to equilibria for a general model in hydrodynamics 

University of Tokyo 

24.03.12 Global well-posedness and stability for a two-dimensional electrophoretic fluid 

model 

Workshop on Navier-Stokes equations, Calais 

26.03.12 Global well-posedness and stability for a two-dimensional electrophoretic fluid 

model 


01.06.12 Kontaktlinien, Elektrokinetic, etc.: Modellierung und Analysis komplexer Strömungsvorgänge 

Universität Düsseldorf 

01.07.12 Maximal regularity on cross-sections implies maximal regularity on a cylinder 

9th AIMS Conference, Orlando 



Universität Ulm 

17.09.12 Exponential stability in elektrokinetics 

DMV-Tagung, Saarbrücken 

19.09.12 Well-posedness of mixed order systems 

DMV-Tagung, Saarbrücken 


TU Dresden 

Nils Scheithauer 

11.05.11 Some constructions of modular forms for the Weil representation 

Explicit theory of automorphic forms, applications and computations, CIRM Luminy 

08.06.11 Some constructions of modular forms for the Weil representation and applications 

Seminar Aachen-Bonn-Köln-Lille-Siegen on automorphic forms, MPI Bonn 

22.09.11 Modular forms for the Weil representation and Borcherds’ conjecture 

Conformal field theory, automorphic forms and related topics, Heidelberg 

16.04.12 Modular forms for the Weil representation and Borcherds’ conjecture 

Integrability in topological field theory, HIM Bonn 

03.05.12 Automorphe Formen auf orthogonalen Gruppen 

Kolloquium, Universität Freiburg 

15.05.12 Von Gruppen zu Algebren und automorphen Formen 

Kolloquium, FAU Erlangen-Nürnberg 

11.09.12 Discriminant forms and their automorphisms 

Conference on groups, vertex operator algebras and related structures in honor of 

Masahiko Miyamoto, Tsukuba 


Mathematical physics trimester seminar, HIM Bonn 

23.11.12 From groups to Lie algebras and automorphic forms 

Heilbronn day: Modular forms, geometry and physics, ICMS Edinburgh 


Algebraic geometry, modular forms and applications to physics, ICMS Edinburgh 


24.05.11 Wie sicher sind unsere Zahlungskarten? 

Deutsche Bank, Eschborn 

180 5 Presentations

13.09.12 Understanding the Reasons for the Side-Channel Leakage is Indispensable for Secure 

Design 

PROOFS 2012, Leuven 

21.11.12 Der stochastische Ansatz in der Poweranalyse - ein effizientes Angriffsverfahren und 

ein designunterstützendes Werkzeug 

Oberseminar am Lehrstuhl Security in Telecommunications, TU Berlin 

Kay Schwieger 

06.09.12 Asymptotics of diagonal quantum couplings 



Adrian Sichau 

14.11.11 A Second Order Approximation Technique for Robust Shape Optimization 

1st International Conference on Uncertainty in Mechanical Engineering (ICUME), 

Darmstadt 

Thomas Streicher 

02.03.11 Introduction to Type Theory and its Semantics 

Mini-Workshop Homotopy Type Theory, Oberwolfach 

30.07.11 A Categorical Account of Krivine’s Classical Realizability 

TACL 2011, Marseille 

06.09.11 Quantum Theory in Topological Domain Theory 

Domains X, Swansea 

30.11.11 Isomorphic Types are Equal! 

MAP 11, Lorentz Center, Leiden 

12.01.12 A Categorical Approach to Krivine’s Classical Realizability 

Inauguration Récré, ENS Lyon 

14.02.12 The Classical Realizability Tripos and Topos. 

Interaction Weeks, Luminy, Marseille 

25.05.12 On Univalent Foundations 

Sixth Scottish Category Theory Seminar, University of Glasgow 

Andreas M. Tillmann 

21.08.12 Heuristic optimality check and computational solver comparison for basis pursuit 


Analytic and Computational As- 

12.12.12 Branch & Cut for l 0 -Minimization 

Workshop “Sparse Representation of Functions: 

pects”, TU Berlin 



17.03.11 Optimal Control of Discontinuous Solutions of Hyperbolic Conservation Laws 

Chemnitzer Seminar zur Optimalsteuerung, Haus im Ennstal, Austria 

16.05.11 Numerical Approximation of Optimal Control Problems for Discontinuous Solutions 

of Hyperbolic Conservation Laws 


14.07.11 Adaptive Multilevel Methods for PDE-Constrained Optimization Based on Adaptive 

Finite Element or Reduced Order Approximations 

AC.CES 2011, RWTH Aachen 

20.07.11 Optimal Control of Discontinuous Solutions of Hyperbolic Conservation Laws: Theory 

and Numerical Approximation 

9th Meeting on Hyperbolic Conservation Laws, Fluid Dynamics and Transport Equations, 

SISSA-ISAS, Trieste, Italy 



IFIP TC 7 Conference on System Modeling and Optimization 2011, Berlin 

28.09.11 Optimal Control of Discontinuous Solutions of Hyperbolic Conservation Laws: Theory 

and Numerical Approximation 

ESF Waves Workshop 2011, Würzburg 



International Workshop on Control and Optimization of PDEs, Graz, Austria 



Seminar of the IANS, Universität Stuttgart 



Workshop on Optimal Control of PDEs, Klaffenbach 



18. Treffen Rhein-Main-Arbeitskreis Mathematics of Computation, Darmstadt 

12.02.12 Multilevel Preconditioner for Contact Problems and Optimal Control 

Chemnitzer Seminar zur Optimalsteuerung, Haus im Ennstal, Austria 

19.03.12 Multilevel Methods for PDE-Constrained Optimization involving Adaptive Discretizations 

and Reduced Order Models 

Colloquium, CAAM Department, Rice University, Houston, USA 

16.05.12 Multilevel Methods for PDE-Constrained Optimization involving Adaptive Discretizations 

and Reduced Order Models 

Conference on Optimization Methods and Software 2012, Chania, Greece 

182 5 Presentations

21.08.12 Multilevel Optimization based on Adaptive Discretizations and Reduced Order Models 

for Engineering Applications 

International Symposium on Mathematical Programming (ISMP 2012), Berlin 

21.12.12 Optimization of deep drawing processes 

Workshop on Complementarity and its Extensions, Institute for Mathematical Sciences, 

National University of Singapore 

Christian H. Weiß 

07.09.11 Categorical Time Series: Analysis, Modelling, Monitoring? 

Eleventh Annual Conference of ENBIS (Young Statistician’s Award), Coimbra 

05.10.11 Ein erweitertes Poisson INAR(1)-Modell 

Workshop des Zentrums für Statistik der TU Darmstadt, Grasellenbach 

10.11.11 Analyse und Modellierung von Zähldatenzeitreihen 

Forschungsseminar des Lehrstuhls für Statistik, Universität Augsburg 

25.09.12 Modeling and Analysis of Count Data Time Series: Recent Research Activities 

Mathematics Department, University of Aveiro 

Jan Wolf 

23.08.12 Accelerating Nested Benders Decomposition with Game Tree Search Techniques to 

solve Quantified Linear Programs 


Irwin Yousept 

11.05.11 Optimal control of Maxwell’s equations with H(div)-controls and state constraints 

Colloquium, HU Berlin 

07.07.11 Optimal control of Maxwell’s equations and its applications 

Colloquium, RWTH Aachen 

21.07.11 Optimal control of 3D induction heating 

International Congress on Industrial and Applied Mathematics (ICIAM), Vancouver, 

Canada 

16.09.11 Control of Maxwell’s equations 


26.10.11 Optimal control of Maxwell’s equations and its applications 

Colloquium, TU Darmstadt 

31.10.11 Optimal control in electromagnetic processes 

Colloquium, TU Berlin 

29.11.11 Optimal control of Maxwell’s equations 

Workshop on Optimal Control of Partial Differential Equations, Klaffenbach 

19.12.11 Optimization of Maxwell’s system 

MATHEON Workshop (application area C), TU Berlin 


19.03.12 PDE-constrained optimization in electromagnetic problems 

Annual Meeting of the International Association of Applied Mathematics and Mechanics 

(GAMM) 2012, Darmstadt 

21.08.12 PDE-constrained optimization involving eddy current equations 


04.10.12 Numerical aspects of optimal control problems of electromagnetic phenomena 

DK Seminar, Strobl, Austria 


06.07.11 Computational Complexity of Quantum Satisfiability 

Real-number complexity at Foundations of Computational Mathematics (FoCM), Budapest 

13.10.11 Uniform Polytime Computable Operators on Univariate Real Analytic Functions 

Computing with Infinite Data: Topological and Logical Foundations, Dagstuhl 

24.02.12 Real Computation with Least Discrete Advice: A Complexity Theory of Nonuniform 

Computability 

Kyoto Symposium on Computable Analysis 

30.08.12 Computability and Complexity in Quantum Logic 

5th International Workshop on Physics and Computation, Swansea 

Jan Carsten Ziems 

19.05.11 Adaptive multilevel optimization with reduced order models for PDE-constrained 

problems 



problems 

Oberseminar Numerik, Universität Konstanz 

13.09.11 Multilevel optimization with reduced order models for PDE-constrained problems 

IFIP TC07 Conference on System Modeling and Optimization 2011, Berlin 


problems 

Workshop on Optimal Control of Partial Differential Equations (in honor of Fredi 

Tröltzsch’s 60th birthday), Chemnitz 


problems 

International Conference on High Performance Scientific Computing (HPSC) 2012, 

Hanoi, Vietnam 


problems 



184 5 Presentations

10.05.12 Adaptive multilevel SQP-Methods for Optimization with PDEs 

Collatz-Kolloquium für angewandte Mathematik der Universität Hamburg 

5.1.2 Contributed Talks 


20.04.11 Precise asymptotic expansions for solutions of phase field models at the passage to 

the sharp interface limit 

GAMM 2011, TU Graz 

22.09.11 The hybrid model as a phase field model for crack propagation 

Workshop on Phase separation, damage and fracture, WIAS Berlin 

06.10.11 A rapidely converging phase field model for phase interfaces in solids 

Partial differential equations: theory, applications, simulations, Universität Stuttgart 

20.01.12 The phase field model for phase evolution in a material with three phase states 

11th GAMM Seminar on Microstructures, Universität Duisburg-Essen 

04.09.12 A hybrid phase field model for phase evolution in a material with three phase states 

STAMM XVIII: mechanics - new challenges, Technion, Israel 

26.09.12 A hybrid phase field model for phase evolution in a material with three phase states 

8th international workshop on direct and inverse problems in piezoelectricity, Grasellenbach 

Benjamin Assarf 

13.11.12 On the classification of simplicial, terminal, and reflexive polytopes with many vertices 

Optimization Seminar, TU Darmstadt 


21.01.11 Discrete Model of the Nonsymmetric Elasticity Theory 

10th GAMM-Seminar on Microstructures, Darmstadt 

28.03.12 Asymmetric Hydrodynamics of Suspensions 

GAMM 83rd Annual Meeting, Darmstadt 

Dieter Bothe 

20.04.11 A hybrid model for fully resolved numerical simulation of reactive mixing in a T- 

shaped micromixer 

GAMM 82nd Annual Meeting, TU Graz 

21.06.11 Modeling and 3D Simulation of Physical Mass Transfer at single rising gas bubbles 

for realistic Schmidt 

8th International Conference on Computational Fluid Dynamics in the Oil & Gas, 

Metallurgical and Process Industries, Trondheim 


27.09.11 Towards a computational analysis of binary collisions of shear-thinning droplets 

24th European Conference on Liquid Atomization and Spray systems (ILASS), Estoril 

22.11.11 DNS of thermocapillary flows based on two-scalar temperature representation 

64th annual meeting APS division Fluid Mechanics, Baltimore/MD 

06.12.11 Soluble surfactants at fluidic interfaces – experiments and simulation 

International Workshop: Transport Processes at Fluidic Interfaces - from Experimental 

to Mathematical Analysis, Aachen 

04.09.12 Experiments and Direct Numerical Simulations of binary collisions of miscible liquid 

droplets with different viscosities 

12th International Conference on Liquid Atomization and Spray Systems, Heidelberg 

12.09.12 A VOF-based method for the simulation of fluid particles influenced by surface active 

agents 

6th European Congress on Computational Methods in Applied Science and Engineering 

(ECCOMAS), Vienna 

20.09.12 Sharp-interface modeling and direct numerical simulation of mass transfer across 

fluidic interfaces 

7th International Symposium on Two-Phase Systems for Ground and Space Applications, 

Beijing 

Stefanie Bott 

29.09.12 Multilevel Methods with POD for PDE-constrained Optimization with State Constraints 

GSC Retreat, Heppenheim 

19.11.12 Adaptive Multilevel SQP Method for State Constrained Optimization with PDEs 


13.12.12 Adaptive Multilevel SQP Method for State Constrained Optimization with PDEs 

Veszprém Optimization Conference: Advanced Algorithms (VOCAL) 2012, Veszprém, 

Hungary 

Christian Brandenburg 

23.05.11 Shape Optimization for the Navier-Stokes Equations 

International Conference on Finite Elements in Flow Problems (FEF) 2011, München 

05.07.11 Existence- and Differentiability Results for Shape Optimization Problems 

IRTG 1529 Klausurtagung, Heppenheim 

Debora Clever 

16.05.11 Model Hierarchy Based Multilevel SQP-Methods for PDAE-Constrained Optimal 

Control Problems with Application to Radiative Heat Transfer 

SIAM Conference on Optimization, Darmstadt 

26.09.11 Adaptive Multilevel SQP-Methods for PDAE-constrained Optimization 

Joint talk with J.C. Ziems, Annual Meeting - SPP1253, Kloster Banz 

186 5 Presentations

04.10.11 Model Hierarchy Based Multilevel SQP-Methods for PDAE-Constrained Optimal 

Control Problems - Application to Radiative Heat Transfer in 2d and 3d 

2nd International Conference on Computational Engineering, Darmstadt 

26.03.12 Multilevel Optimization for PDAE-Constrained Optimal Control Problems - Pointwise 

Constraints on Control and State 

83rd Annual Meeting of the International Association of Applied Mathematics and 

Mechanics, Darmstadt 

23.07.12 Towards a Fully Space-Time Adaptive Multilevel Optimization Environment 

Workshop on Adaptivity and Model Order Reduction in PDE Constrained Optimization, 

Hamburg 

Pia Domschke 

18.05.11 Optimization of Gas and Water Supply Networks 

SIAM Conference on Optimization OP11, Darmstadt 

07.06.11 Adjoint-based error control for the simulation of gas and water supply networks 

International Conference on Adaptive Modeling and Simulation (ADMOS) 2011, 

Paris 

Moritz Egert 

10.06.11 Feedback Stabilizability of Delay Systems in Banach Spaces 

Final workshop of the 14th Internet Seminar on Evolution Equations, Blaubeuren 

08.06.12 Rational Approximations of Semigroups without Scaling and Squaring 

Final workshop of the 15th Internet Seminar on Evolution Equations, Blaubeuren 

Walter Freyn 

06.10.11 A lightcone construction for twin buildings of hyperbolic Kac-Moody algebras 

Conference: “Buildings 2011”, Münster 


Conference: “Buildings 2012”, Münster 

Dmytro Furer 

07.03.12 Fixed design regression estimation based on experimental and artificially generated 

data 

10th German Probability and Statistics Days 2012, Mainz 


data 



data 

8th World Congress in Probability and Statistics, Istanbul 



26.05.11 A free boundary value problem related to the spin-coating process 

Vorticity, rotation and symmetry (II) - regularity of fluid motion, Luminy 

11.10.11 Rate of convergence of the finite element method for the stochastic heat equation 

with additive noise 

Evolution Equations: Randomness and Asymptotics, Bad Herrenalb 

17.11.11 Weak Neumann implies Stokes 

SIAM Conference on Analysis of Partial Differential Equations (PD11), San Diego 

28.03.12 A free boundary problem related to the spin-coating process 

GAMM Meeting, Darmstadt 

03.09.12 Weak Neumann implies H ∞ calculus for the Stokes operator 

Parabolic and Navier-Stokes Equations, Bedlewo 

17.09.12 On strong solutions for viscoelastic fluid models 

DMV Meeting, Saarbrücken 

05.11.12 Weak Neumann implies H ∞ calculus for the Stokes operator 

The 7th Japanese-German International Workshop on Mathematical Fluid Dynamics, 

Waseda 

Alf Gerisch 

18.01.11 Fast evaluation of integral terms in a nonlocal PDE model of cellular adhesion 

Verwer65 Meeting, CWI, Amsterdam, The Netherlands 

18.07.11 A Micromechanical Model of the Mineralized Collagen Fibril Bundle with Application 

to Mineralized Turkey Leg Tendon Data (poster) 

ICIAM 2011, Vancouver, Canada 

19.07.11 Modelling and Simulation of Cellular Adhesion: the Impact on Spatio-temporal 

Patterns in Cancer Cell Invasion 

ICIAM 2011, Vancouver, Canada 

27.10.11 Numerical homogenization in multi-scale models of musculoskeletal mineralized 

tissues 

Comsol Conference, Stuttgart 

16.11.11 Numerical homogenization in multi-scale models of musculoskeletal mineralized 

tissues 

ACOMEM 2011, University of Liège, Belgium 

02.05.12 Tissue Scale Modelling and Simulation of Cell Adhesion 

SYNMIKRO Conference on Mathematical Modelling of Microbiological Systems, Universität 

Marburg 

07.08.12 Prediction of Effective Elastic Properties of Osteons by Means of Multiscale Models 

and Homogenization Methods (poster) 

SIAM Conference on the Life Sciences, San Diego, USA 

188 5 Presentations

11.09.12 On the positivity in nonlocal PDE models of cell adhesion 

NUMDIFF-13, Universität Halle-Wittenberg 


20.04.11 Optimal Flow Control Based on POD for the Cancellation of Tollmien-Schlichting 

Waves by Plasma Actuators 


(GAMM) 2011, Graz, Austria 

17.05.11 Optimal Flow Control based on POD for the Cancellation of Tollmien-Schlichting 



12.09.11 Optimal Flow Control based on POD for the Cancellation of Tollmien-Schlichting 



06.10.11 Optimal Flow Control Based on POD for the Cancellation of Tollmien-Schlichting 


International Conference on Computational Engineering, Darmstadt 

12.02.12 Optimale Strömungskontrolle mit POD und MPC zur Auslöschung von Tollmien- 

Schlichting Wellen mit Plasma-Aktuatoren 

Chemnitzer Seminar zur Optimalsteuerung 2012, Haus im Ennstal, Austria 

16.05.12 Optimal Flow Control Based on POD and MPC for the Cancellation of Tollmien- 

Schlichting Waves by Plasma Actuators 

Conference on Optimization Methods and Software 2012, Chania, Greece 

24.08.12 Optimal Flow Control Based on POD and MPC for the Cancellation of Tollmien- 

Schlichting Waves by Plasma Actuators 


Thea Göllner 

16.05.11 Geometry Optimization of Branched Sheet Metal Products 

Poster Session at SIAM Conference on Optimization 2011, Darmstadt 

04.07.11 Geometrieoptimierung flächiger und verzweigter Blechbauteile 








05.06.11 Effective Theory on Arbitrary Polish Spaces 

8th Panhellenic Logic Symposium, Ioannina, Greece 


13.10.11 Effective Theory on Arbitrary Polish Spaces 

Dagstuhl seminar “Computing with Infinite Data", Dagstuhl, Germany 

10.07.12 Turning Borel sets into clopen effectively 

Workshop “Trends in set theory", Warsaw, Poland 


24.02.11 Mathematisches Chaos begreifen - Eindrücke aus einem experimentellen Ästhetikwettbewerb 

Annual Conference of the Gesellschaft für Didaktik der Mathematik, Universität 

Freiburg 

08.03.12 Differentialgeometrie leichtverständlich erklärt - ein neues Vorlesungskonzept 

Annual Conference of the Gesellschaft für Didaktik der Mathematik, PH Weingarten 

13.03.12 Zählen von geschlossenen Geodätischen 

Arbeitsgruppentagung 

Kai Habermehl 

16.05.11 Robust optimization of active trusses via Mixed Integer Semidefinite Programming 


27.02.12 Control of uncertainties within an interdisciplinary design approach of a robust 

high heel 

Uncertainties 2012, Maresias, Brazil 

28.03.12 Robust optimization of active trusses via Mixed Integer Semidefinite Programming 



Roberto Henschel 

06.11.12 Eine Verbindung des Chromatischen Polynoms zur Geometrie 


Katrin Herr 

17.05.11 Solving Highly Symmetric Integer Linear Programs 


11.07.11 Solving highly symmetric integer linear programs 


Ida Hertel 

27.09.11 Estimation of the optimal design of a nonlinear parametric regression problem via 

Monte Carlo experiments 

Conference on Optimal Design of Experiments-Theory and Application, Wien 




190 5 Presentations

31.05.12 Poster on: A Minimax design for a nonlinear and implicitly given parametric regression 

problem using Monte Carlo experiments 

Conference on Quantitative methods in statistics, biostatistics and actuarial sciences, 

Louvain-la-Neuve 

15.06.12 Estimation of fatigue behaviour based on a parametric model for the inverse relation 

First Conference of the International Society for Non Parametric Statistics (ISNPS), 

Chalkidiki 





30.03.11 On certain subgroups of compact groups 

Algebra Seminar, Tulane University in New Orleans, USA 

26.09.12 On near abelian pro-p-groups 

Algebra Seminar, Tulane University in New Orleans, USA 

Silke Horn 


Kolloquium über Kombinatorik, Universität Magdeburg 

13.11.11 Two Topological Representation Theorems for Tropical Oriented Matroids 


13.12.11 Tropical Oriented Matroids 

Research Seminar, TU Braunschweig 


The 24th International Conference on Formal Power Series and Algebraic Combinatorics 

(FPSAC), Nagoya University, Japan 

Priska Jahnke 

13.05.11 Semistability of restricted tangent bundles 

NoGaGs, HU Berlin 

18.07.11 Der Gaußsche Integralsatz 

Universität Regensburg 

01.02.12 Semistability of restricted tangent bundles 

Seminar Lie-Theorie and complex geometry, Universität Marburg 

03.02.12 Classification of algebraic varieties 

FU Berlin 

07.02.12 Der zentrale Grenzwertsatz 

Universität Augsburg 


09.05.12 Algebraische Kurven und deren Bedeutung in der Kryptographie 

TUDay, TU Darmstadt 

20.06.12 Algebraische Kurven und deren Bedeutung in der Kryptographie 

Schülerinnen-Schnuppertage, TU Darmstadt 

17.10.12 Klassifikation algebraischer Varietäten und ihre Bedeutung in der Kryptographie 

Kolloquium, TU Darmstadt 

Daniel Jones 

28.04.11 Optimal exercising of American options in discrete time via forecasting of stationary 

and ergodic time series 

Workshop on Optimal Stopping, Sequential Methods and Related Topics, Freiburg 

13.07.12 Optimal exercising of American options via forecasting of stationary and ergodic 

time series 


Klaus Keimel 

13.06.12 The duality between direct and predicate transformer semantics 

Research Workshop on Duality Theory in Algebra, Logic and Computer Science, Oxford 

Matthias Köhne 

15.02.11 L p -Theory for Two-Phase Flows with Soluble Surfactant 

Workshop on Phase Field Models in Fluid Mechanics, Universität Regensburg 

20.06.12 On Asymptotic Boundary Conditions for Incompressible Newtonian Flows 

Workshop on Modeling, Optimization and Simulation of Complex Fluid Flow, TU 

Darmstadt 

Daniel Körnlein 

10.07.12 Quantitative aspects of fixed point iterations for Lipschitz pseudocontractive maps 

The 10th International Conference on Fixed Point Theory and its Applications, Cluj- 

Napoca 

Oliver Kolb 

14.04.12 Optimization of Gas and Water Supply Networks 

Workshop on Numerical Methods for Optimal Control and Inverse Problems (OCIP) 

2012, München 

Daniela Koller 

17.03.11 Optimale Steuerung wirkmedienbasierter Tiefziehprozesse 

Chemnitzer Seminar zur Optimalsteuerung, Haus im Ennstal 

21.04.11 Optimal control of hydroforming processes 


(GAMM) 2011, Graz 

192 5 Presentations

02.05.11 Optimale Steuerung wirkmedienbasierter Tiefziehprozesse 




14.02.12 Optimal Control of hydroforming processes 





24.08.12 Optimal control of hydroforming processes based on POD 


14.11.12 Flächige Bauteile mit verzweigtem Querschnitt durch integrierte Spaltbiegeprozesse, 

HSC-Fräsprozesse und Tiefziehprozesse 

8. Fachtagung Walzprofilieren und 4. Zwischenkolloquium SFB 666, Darmstadt 

Christian Komo 

09.02.11 Existence and convergence properties of some special weak solutions of the 

Boussinesq-Oseen equations in domains with rough boundaries 

Winter School: Mathematical Analysis in Fluid Mechanics, Bialka Tatrzanska 

22.09.11 Optimal initial value conditions for local strong solutions of the Navier-Stokes equations 

in exterior domains 

8th International Conference FSDONA, Tabarz 

28.03.12 Convergence properties of weak solutions of the Boussinesq equations in domains 

with rough boundaries 


17.12.12 Optimal initial value conditions for local strong solutions of the Navier-Stokes equations 

in exterior domains 

International Winter School on Mathematical Fluid Dynamics, Levico Terme 

Karen Kuhn 

24.07.12 Stability analysis for multirate Rosenbrock- and Peer-methods 

ECMI, Lund 

13.09.12 Stability analysis for multirate Rosenbrock- and Peer-methods 

NUMDIFF-13, Halle 

Jens Lang 

13.07.11 Linearly Implicit Methods for Optimal Control Problems 

SCiCADE 2011, Jan Verwer Memorial, Toronto 

20.07.11 Large Eddy Simulation with Adaptive Moving Meshes 

ICIAM 2011, Vancouver 


06.09.11 Adaptive Finite Elements with Anisotropic Mesh Refinement 

ENUMATH 2011, Leicester 

26.06.12 Adaptive Moving Meshes in Large Eddy Simulation for Turbulent Flows 

3rd European Seminar on Computing, Pilsen 

10.09.12 Adaptive Two-Step Peer Methods in Computational Fluid Dynamics 

NUMDIFF13, Halle 

24.09.12 Adaptive and Higher Order Methods in Computational Fluid Dynamics 

25th Chemnitz FEM Symposium 2012 

Nicole Lehmann 

13.02.12 Modeling with ambient B-splines 

New Trends in Applied Geometry, Gazzada 

Stéphane Le Roux 

10.10.11 Infinite Nash Equilibrium 

Computing with Infinite Data: Topological and Logical Foundations, Schloss Dagstuhl 

30.05.12 From determinacy to Nash equilibrium 

2nd Workshop on Continuity, Computability, Constructivity: from Logic to Algorithms; 

Universität Trier 


10th Conference on Logic and the Foundations of Game and Decision Theory, University 

of Sevilla 


Annual Workshop of the ESF Networking Programme on Games for Design and Verification, 

University of Naples 

08.11.12 From winning strategy to Nash equilibrium 

AlgoSyn, RWTH Aachen 

Sonja Mars 

18.05.11 Actuator positioning in Truss Topology Design 


31.08.11 Optimal positioning of active components in trusses under multiple loads 

International Conference on Operations Research (OR) 2011, Zürich 

David Meffert 

03.06.12 Inhomogeneous and semilinear evolution equations 

Operator Semigroups for Numerical Analysis, Blaubeuren 

Hannes Meinlschmidt 

05.06.12 Geometric Theory of Semilinear Problems 

Final workshop on the 15th Internet Seminar on Evolution Equations, Blaubeuren 

194 5 Presentations

Claudia Möller 

04.02.12 Exact calculation of the JSR by depth first search on set-valued trees 

22. Rhein-Ruhr-Workshop, Bestwig 

05.09.12 Connecting the JSR to set-valued trees 

Workshop: New trends in subdivision and related applications, Milano 

Martin Otto 

16.02.12 Tree Unfoldings and Their Finite Counterparts 

Algorithmic and Finite Model Theory, Ilmenau 

06.09.12 Pebble Games and Linear equations 

Computer Science Logic, Fontainebleau 


09.06.11 Defect Polytopes and Counter-Examples with polymake 

ISSAC 2011, San José 


Workshop “Polyhedra, Symmetry and Optimization”, Rostock 

21.02.12 Defect Polytopes and Dual Defective Toric Varieties 

Workshop “Emerging Developments in Real Algebraic Geometry”, Magdeburg 

28.02.12 Polyhedral Adjunction Theory 

Annual Meeting of SPP 1489, Hannover 

11.05.12 Construction of examples for Kähler-Einstein toric Fano manifolds with polymake 

Symposium der Fachgruppe Computeralgebra, Kassel 

Sebastian Pfaff 

26.09.11 Optimal control of switched networks for nonlinear hyperbolic conservation laws 

Annual Meeting of DFG-SPP 1253, Kloster Banz 

30.01.12 Initial-Boundary-Value-Problems for Hyperbolic Conservation Laws 

Optimization Seminar, Darmstadt 

14.05.12 Optimal Boundary Control for Nonlinear Hyperbolic Conservation Laws with 

Source Terms 

Conference on Optimization Methods and Software 2012, Chania 

25.06.12 Optimal Boundary Control for Nonlinear Hyperbolic Balance Laws 

International Conference on Hyperbolic Problems 2012, Padua 

24.08.12 Optimal Boundary Control for Nonlinear Hyperbolic Conservation Laws with 

Source Terms 



Marc Pfetsch 

05.03.12 The Maximum k-Colorable Subgraph Problem and Symmetry 

International Conference on High Performance Scientific Computing (HPSC) 2012, 

Hanoi 

Ulrich Reif 

19.05.11 Evaluation of the Joint Spectral Radius 

International Symposium in Approximation Theory, Nashville 

Steffen Roch 

12.09.12 Essential spectral approximation, Arveson dichotomy and fractality 

Workshop on Operator Theory and Operator Algebras (WOAT), Lisbon 

Rolf Roth 

17.03.11 Multilevel optimization applied in flow control 


17.05.11 Multilevel optimization for flow control with discrete adjoints 



IFIP TC07 Conference on System Modeling and Optimization 2011, Berlin 


Final Colloquium of the Collaborative Research Center (SFB) 568, 

Jugenheim 

Seeheim- 

Carsten Schäfer 

26.11.12 Optimization of Adaptronic Systems 


13.12.12 Optimization of Adaptronic Systems 

Veszprém Optimization Conference: Advanced Algorithms (VOCAL) 2012, Veszprém 

Bettina Schieche 

04.10.11 Adjoint Error Estimation for Stochastic Collocation Methods 

2nd International Conference on Computational Engineering, Darmstadt 

29.03.12 Adaptive Stochastic Collocation on Sparse Grids 

GAMM, Darmstadt 

02.04.12 Adjoint Error Estimation for Stochastic Collocation Methods 

SIAM Conference on Uncertainty Quantification, Raleigh, North Carolina 

26.06.12 Analysis and Application of PDEs with Random Parameters 

European Seminar on Computing, Pilsen 

05.07.12 Analysis and Application of PDEs with Random Parameters 

2nd Workshop on Sparse Grids and Applications, Garching 

196 5 Presentations


17.06.11 Security Research Between Attack and Design 

Cryptarchi 2011, Bochum 

21.06.12 Security Evaluation of RNGs - The Updated Evaluation Guidelines AIS 20 and AIS 

31 

CryptArchi 2012, Marcoux 

Dirk Schröder 

10.09.12 Adjoint Consistent Implicit Peer Methods 

Numerical Solution of Differential and Differential-Algebraic Equations (NUMDIFF- 

13), 10-14 September 2012, Universität Halle-Wittenberg 

Adrian Sichau 


SIAM Conference on Optimization, Darmstadt 




22.08.12 Shape optimization under uncertainty employing a second order approximation for 

the robust counterpart 


Nada Sissouno 

21.02.11 Spline spaces on planar domains 

New trends in applied geometry, Hurdal, Norway 

10.06.11 Approximation with tensor product splines on domains 

Geometry Seminar, Oslo, Norway 

04.02.12 Kondensierte B-Splines 

Rhein-Ruhr-Workshop, Bestwig 

28.06.12 Aspects of multivariate spline approximation on domains 

Eighth International Conference on Mathematical Methods for Curves and Surfaces, 

Oslo, Norway 

Sara Tiburtius 

30.06.11 A multiscale model of mineralized fibril bundles - a homogenization approach 

ECMTB, Krakow 

26.08.11 A multiscale model of mineralized turkey leg tendon - a homogenization approach 

SimOrtho, Rostock 

24.03.12 SPP 1420 Project VI: Multiscale structure functional modeling of musculoskeletal 

tissues 

SPP 1420 Winter School, Golm 


10.08.12 Prediction of effective elastic properties of osteons by means of multiscale models 

and homogenization methods 

SIAM Conference on the Life Sciences (poster), San Diego 

06.12.12 Project VI: Multiscale structure-functional modeling of musculoskeletal mineralized 

tissues 

SPP 1420 project meeting, Düsseldorf 

Sebastian Ullmann 

27.03.12 POD and CVT Galerkin reduced modeling of the flow around a cylinder 


21.11.12 POD-Galerkin-Modellierung thermo-konvektiver Strömungen 

Metström Bündeltreffen Adaptivität, Darmstadt 


02.03.11 Continuously Monitoring Categorical Processes 

Tenth Workshop on Stochastic Models and Their Applications, Wismar 

21.09.11 Empirical Measures of Signed Serial Dependence in Categorical Time Series 

Statistische Woche, Jahrestagung 2011, Leipzig 

11.09.12 Detection of Abrupt Changes in Count Data Time Series: Cumulative Sum Derivations 

for INARCH(1) Models 

Twelvth Annual Conference of ENBIS, Ljubljana 

19.09.12 Chain Binomial Models and Binomial Autoregressive Processes 

Statistische Woche, Jahrestagung 2012, Wien 

Jan Wolf 

06.09.11 Quantified Linear Programs: A Computational Study 

European Symposium on Algorithms 2011, Saarbrücken 


01.02.11 Relative Computability and Uniform Continuity of Relations 

Eighth International Conference on Computability and Complexity in Analysis (CCA), 

Cape Town 

22.06.11 Computational Complexity of Quantum Satisfiability 

26th Annual IEEE Symposium on Logic In Computer Science (LiCS), Toronto 

25.06.12 Uniform Polytime Computable Operators on Univariate Real Analytic Functions 

Ninth International Conference on Computability and Complexity in Analysis (CCA), 

Cambridge 

20.07.12 Einführung in die reelle Komplexitätstheorie 

Gemeinsamer Sondertheorietag für "Algorithmen und Komplexität" und "Automaten 

und Formale Sprachen", Tübingen 

198 5 Presentations

14.09.12 Relative Computability and Uniform Continuity of Relations 

Colloquium Logicum 2012, Paderborn 

28.09.12 Uniform second-order polynomial-time computable operators and data structures 

for real analytic functions 

15th GAMM-IMACS International Symposium on Scientific Computing, Computer 

Arithmetic and Verified Numerical Computations (SCAN), Novosibirsk 

Jan Carsten Ziems 


problems 

Annual Meeting of DFG-SPP 1253, Kloster Banz 

5.1.3 Visits 

Claudia Alfes, Emory University, June 2011 

Maksym Berezhnyi, ILTPE of NASU, August 2012 

Dieter Bothe, ENS Cachan, Antenne de Bretagne, March 2011 

Dieter Bothe, University of Pittsburgh, August 2011 

Dieter Bothe, WIAS Berlin, several visits during 2011 and 2012 

Regina Bruder, University of Technology Sydney, Australia, March 2012 

Regina Bruder, University of Melbourne, Australia, April 2012 

Regina Bruder, Monash University of Melbourne, Australia, April 2012 

Regina Bruder, Hobart-University, Tasmania, April 2012 

Jan Bruinier, Max-Planck Institute for Mathematics, Bonn, April – June 2011 

Moritz Egert, Louisiana State University, 19.09.12 - 05.10.12 

Herbert Egger, ETH Zürich, 11.-14.09.2012 

Herbert Egger, TU München, 27.-28.09.2012 

Herbert Egger, Universität Münster, 10.-11.10.2012 

Herbert Egger, Oberwolfach, 21.-27.10.2012 

Herbert Egger, Universität Linz, 9.-10.11.2012 

Herbert Egger, TU München, 11.-12.11.2012 

Reinhard Farwig, CIRM Luminy, May 2011 

Reinhard Farwig, RWTH Aachen, June 2011 

Reinhard Farwig, Academy of Sciences, Prague, July 2011 


Reinhard Farwig, Oberwolfach (RIP), August-September 2011 

Reinhard Farwig, Waseda University Tokyo, November-December 2011 

Reinhard Farwig, Krakow, July 2012 

Reinhard Farwig, Oberwolfach, August 2012 

Reinhard Farwig, Banach Center Bedlewo, September 2012 

Reinhard Farwig, Waseda University Tokyo, Tokyo Institute of Technology, November 2012 

Reinhard Farwig, RWTH Aachen, June 2011 

Walter Freyn, Oregon State University, Corvallis, March 2011 

Walter Freyn, Rutgers University, New Bunswick, March and April 2011 

Walter Freyn, Emmy Noether Institut, Bar Ilan university, Tel Aviv, May 2011 

Walter Freyn, IHÉS (Institut des Hautes Études Scientifiques), May 2011 

Walter Freyn, Hausdorff Institut, Bonn, September – December 2011 

Walter Freyn, Rutgers University, New Bunswick, October 2011 

Walter Freyn, Max-Planck Institut für Gravitation, Potsdam, March 2012 

Walter Freyn, Rutgers University, New Bunswick, May 2012 

Walter Freyn, IHÉS (Institut des Hautes Études Scientifiques), June 2012 

Walter Freyn, Rutgers University, New Bunswick, September 2012 

Walter Freyn, IHÉS (Institut des Hautes Études Scientifiques), December 2012 

Andreas Gärtner, Aberystwyth University, Aberystwyth, Jan. 19 – Jan. 27., 2011 

Andreas Gärtner, Universität Saarbrücken, July 25, 2011 

Matthias Geissert, MPI, Leipzig, Feb 2012 

Vassilios Gregoriades, Universität Münster, December 2011 

Roland Gunesch, Universität Hamburg, July–August 2012 

Roland Gunesch, Mathematisches Forschungsinstitut Oberwolfach, September 2012 

Karsten Grosse-Brauckmann, Newton Institute, Cambridge, October 2012 

Robert Haller-Dintelmann, University of Valenciennes and Hainaut-Cambrésis, April 2011 

Robert Haller-Dintelmann, Weierstraß-Institut für Angewandte Analysis und Stochastik 

(WIAS), Berlin, December 2011 

Robert Haller-Dintelmann, Weierstraß-Institut für Angewandte Analysis und Stochastik 

(WIAS), Berlin, February 2012 

200 5 Presentations

Matthias Hieber, Universität Heidelberg, January 2011 

Matthias Hieber, Universität Regensburg, January 2011 

Matthias Hieber, University of Pittsburgh, February 2011 

Matthias Hieber, UC Santa Barbara, April to June 2011 

Matthias Hieber, Luminy, Marseille, June 2011 

Matthias Hieber, Newton Institute, Cambridge, August to September 2011 

Matthias Hieber, Zhejiang University, Hangzhou, September 2011 

Matthias Hieber, Waseda University, Tokyo, December 2011 

Matthias Hieber, Universität Bielefeld, March 2012 

Matthias Hieber, DFG Office Japan, Tokyo, April 2012 

Matthias Hieber, Lecce University, July 2012 

Matthias Hieber, Waseda University, Tokyo, August 2012 

Matthias Hieber, MFO Oberwolfach, August 2012 

Matthias Hieber, WIAS Berlin, October 2012 

Matthias Hieber, Waseda University, Tokyo, November 2012 

Matthias Hieber, Academy of Sciences, Warsaw, December 2012 

Silke Horn, Aalto University, Finland, May 15–17, 2012 

Priska Jahnke, Universität Marburg, February 2012 

Priska Jahnke, FU Berlin, December 2011 

Klaus Keimel, Swansea University, 6.–10.09.2011 

Klaus Keimel, Sobolev Institute, Novosibirsk, 8.–15.10.2011 

Klaus Keimel, Laboratoire Preuves, Programmes et Systèmes, University of Paris Diderot 

(Paris VII), November 2011 

Klaus Keimel, Almaty, Al-Farabi Kazakh National University, Kazakstan, 3.–14.12.2011 

Klaus Keimel, East China Normal University, Shanghai, China, 13.–16.03.2012 

Klaus Keimel, University of Birmingham, 29.05.–05.06.2012 

Klaus Keimel, University of Bath, 05.–09.06.2012 

Klaus Keimel, University of Oxford, 12.–15.06.012 

Klaus Keimel, University of Birmingham, 20.11.–04.12.2012 

Ulrich Kohlenbach, Romanian Academy, Bucharest, March-April 2011 


Ulrich Kohlenbach, Carnegie Mellon University, Pittsburgh, June-July 2011 

Burkhard Kümmerer, Aberystwyth University, Aberystwyth, 19.–27.01.2011 

Burkhard Kümmerer, RWTH Aachen, 6.–8.10.2011 

Burkhard Kümmerer, TU Dortmund, 28.–29.10.2011 

Jens Lang, University of Kansas, March-April 2012 

Stéphane Le Roux, University of Cape Town, Feb. 2011 

Stéphane Le Roux, University of Cambridge, March 2012 

Hannes Meinlschmidt, Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS), 

Berlin, December 5–7, 2012 

Martin Otto, University of California Santa Cruz, 09.10.11–08.11.11 

Martin Otto, HU Berlin, 19.11.11–29.02.12 

Andreas Paffenholz, Universität Bielefeld, December 5–6, 2011 

Andreas Paffenholz, University of Sydney, Australia, November 9–18, 2012 

Andreas Paffenholz, University of Queensland, Australia, November 18–25, 2012 

Andreas Paffenholz, San Francisco State University, USA, June 13–16, 2011 

Jan-Frederik Pietschmann, KTH Royal Institute of Technology, 19.-24. November 2012 

Ulrich Reif, University of Cambridge, June 2012 

Walter Reußwig, Aberystwyth University, Aberystwyth, 19.–27.01.2011 

Walter Reußwig, Universität Saarbrücken, July 25, 2011 

Steffen Roch, IST Lisbon, September 2012 

Jürgen Saal, Vanderbilt University, April 2011 

Jürgen Saal, The University of Tokyo, March 2012 

Nils Scheithauer, CIRM, Luminy, May 2011 

Nils Scheithauer, MPI, Bonn, June 2011 

Nils Scheithauer, Universtät Heidelberg, September 2011 

Nils Scheithauer, HIM, Bonn, April 2012 

Nils Scheithauer, Universtät Freiburg, May 2012 

Nils Scheithauer, Universität Erlangen-Nürnberg, May 2012 

Nils Scheithauer, TU Dortmund, June 2012 

Nils Scheithauer, Tsukuba, September 2012 

202 5 Presentations

Nils Scheithauer, HIM, Bonn, October 2012 

Nils Scheithauer, ICMS, Edinburgh, November 2012 

Bettina Schieche, Universität Linz, December 2011 

Kay Schwieger, Universität Saarbrücken, July 25, 2011 

Nada Sissouno, University of Oslo, September 2011 

Nada Sissouno, University of Oslo, March 2012 

Thomas Streicher, University of Sussex, January – February 2011 

Thomas Streicher, University of Paris Diderot (Paris VII), March 2012 

Sara Tiburtius, Pierre-and-Marie-Curie University (Paris VI), Laboratoire d’Imagerie Paramétrique, 

February - March 2011 

Sara Tiburtius, Max-Planck-Institut für Eisenforschung GmbH, Düsseldorf, 06.12.2012 

Stefan Ulbrich, Rice University, Houston, USA, March 2011 

Stefan Ulbrich, Rice University, Houston, USA, March 2012 

Martin Ziegler, KTH Royal Institute of Technology, Stockholm, Aug 2012 

Martin Ziegler, Universität Greifswald, Jul 2011 

Martin Ziegler, Schloss Dagstuhl, Oct 2011 

Martin Ziegler, Ecole Polytechnique, Palaiseau, Jun 2012 

Martin Ziegler, University of Cambridge, Jun 2012 

Martin Ziegler, Waseda University, Jun 2012 

5.2 Organization of Conferences and Workshops 


– 10th GAMM-Seminar on Microstructures 21-22 January, 2011 (jointly with S. Nesenenko) 

– 83rd Annual Meeting of the International Association of Applied Mathematics and 

Mechanics GAMM, March 26-30, 2012 (jointly with C. Tropea, D. Bothe, P. Hagedorn, 

R. Markert, M. Oberlack and S. Ulbrich) 

– Sektion “Partielle Differentialgleichungen” auf der DMV-Jahrestagung 2012, Universität 

Saarbrücken, 17.-20.9.2012 (jointly with D. Apushkinskaya, M. Fuchs and N. 

Kraltseva) 

5.2 Organization of Conferences and Workshops 203

Benjamin Assarf 

– 3rd polymake Workshop, TU Darmstadt, March 22 and 23, 2012 (with Katrin Herr, 

Michael Joswig, Benjamin Lorenz and Andreas Paffenholz) 


– 83rd Annual Meeting of the International Association of Applied Mathematics and 

Mechanics, Co-Chairman of the subsection "Generalized continua" (jointly with 

Sergiy Nesenenko) 

Volker Betz 

– Workshop on many-body quantum systems in Venice (jointly with Daniel Ueltschi) 

Dieter Bothe 

– Seminar Series "Contact Line Dynamics - Theory", February 2011, Darmstadt 

– Section "Interfacial Flows" at the GAMM Annual Meeting, 20.04.2011, Graz 

– Summerschool "Partial Differential Equations",12.-16.09.11, Caputh 

– 1st International Symposium on Multiscale Multiphase Process Engineering (MMPE), 

04.-07.10.11, Kanazawa, Japan 

– International Workshop "Transport Processes at Fluidic Interfaces - from Experimental 

to Mathematical Analysis", 05.-07.12.11, Aachen 

– GAMM Annual Meeting (LOC) und Sektion "Interfacial Flows", March 2012, Darmstadt 

– International Workshop "Modeling, Simulation and Optimization of Complex Fluid 

Flows", 20.-22.06.12, Darmstadt 

– 7th International OpenFOAM Workshop, 25.-28.06.12, Darmstadt 

– Numerical Methods for Two-phase Flow, 28.-30.11.12, Stuttgart 

Regina Bruder 

– Meeting and Inservice-teachertraining for teacher-students from TU Darmstadt (last 

10 years), 07.10.2011 

– Mentoring in the seminar of the GDM for doctoral candidates, 26–28.09.2012, Bad 

Wildbad 


– AKLS-Seminar on Automorphic Forms (jointly with K. Bringmann, V. Gritsenko, A. 

Krieg, G. Nebe, N.-P. Skoruppa, D. Zagier), 28.03.11 Köln, 08.06.11 MPI Bonn, 

28.09.11 Aachen, 30.11.11 Lille, 14.03.12 Köln, 20.06.12 Bonn, 01.10.12 Lille 

– Workshop Arithmetic geometry of orthogonal and unitary Shimura varieties (jointly 

with E. Goren and F. Andreatta), Banff International Research Station, 03.06.12– 

08.06.12 

204 5 Presentations

– Winter School on “The Birch and Swinnerton–Dyer Conjecture” (jointly with Y. Choie, 

H. Darmon, W. Kohnen, J. Park), Postech, Pohang, Korea, 2012 

– Winter School on “Serre’s Modularity Conjecture” (jointly with Y. Choie, H. Darmon, 

W. Kohnen, J. Park), Postech, Pohang, Korea, 2011 


– International Conference: Vorticity, Rotation and Symmetry (II) - Regularity of Fluid 

Motion (CIRM, Luminy 2011) (jointly with Jiri Neustupa and Patrick Penel) 

– GAMM 2012, Section on Turbulence and Reactive Flows (jointly with Stefan Braun, 

Vienna) 

– International Conference: Parabolic and Navier-Stokes Equations, Banach Center 

Bedlewo 2012 (jointly with Wojciech Zajaczkowski, Jiri Neustupa, Yoshihiro Shibata, 

Joanna Renclawowicz, Piotr Mucha) 

– 7th Japanese-German International Workshop on Mathematical Fluid Dynamics, 

Tokyo 2012 (jointly with Matthias Hieber, Hideo Kozono, Yoshihiro Shibata) 


– Workshop on Complex Fluids (jointly with Matthias Hieber and Edris S. Titi) 

– Minisymposium on “Complex Fluids” at the DMV Meeting (jointly with Horst Heck) 


– Spring School IRTG 1529 

– Special Lectures by Giovanni P. Galdi 

– Klausurtagung 2011 IRTG 1529 

– Summer Courses on Mathematical Fluid Dynamics 

– Summer School IRTG 1529 (jointly with Universität Hannover) 

– Mini-Symposium, SIAM, San Diego 

– 4th Japanese-German International Workshop on Mathematical Fluid Dynamics 

(jointly with Waseda University, Tokyo) 

– German-Japanese Mini-Workshop on Fluid Dynamics 

– The 5th Japanese-German International Workshop on Mathematical Fluid Dynamics 


– Conference on Complex Fluids (jointly with M. Geissert, E. Titi) 

– The 7th Japanese-German International Workshop on Mathematical Fluid Dynamics 


– Klausurtagung 2012 IRTG 1529 


Silke Horn 

– 1st polymake Workshop, TU Darmstadt, March 31 and April 1, 2011 (with Katrin 

Herr, Sven Herrmann, Michael Joswig, Katja Kulas and Benjamin Lorenz, and Andreas 

Paffenholz) 



Herr, Sven Herrmann, Silke Horn, Katja Kulas and Benjamin Lorenz, and Andreas 

Paffenholz) 

– 2nd polymake Workshop, University of California, Berkeley, USA, September 13, 

2011 

– 3rd polymake Workshop, TU Darmstadt, March 22 and 23, 2012 (with Benjamin 

Assarf, Katrin Herr, Benjamin Lorenz, and Andreas Paffenholz) 

Klaus Keimel 

– Workshop Domains X, University of Swansea, GB, 7.–9. September 2011, Co-chair 

Programme Committee 

Martin Kiehl 

– Mathematikolympiade Hessen (Landesentscheid), 25.-26.02.2011, Darmstadt (jointly 

with Zentrum für Mathematik, Bensheim) 

– Autumn School for Pupils; Mathematische Modellierungswoche, 9.-14.10.2011, Weilburg 

(jointly with Zentrum für Mathematik, Bensheim) 

– Mathematikolympiade Hessen (Landesentscheid), 24.-25.02.2012, Darmstadt (jointly 

with Zentrum für Mathematik, Bensheim) 

– Autumn School for Pupils; Mathematische Modellierungswoche, 14.-19.10.2012, Fuldatal 

(jointly with Zentrum für Mathematik, Bensheim) 


– 2011 Joint Mathematics Meeting, New Orleans, Jan. 6-9, 2011, AMS-ASL Special 

Session on Logic and Analysis (jointly with Jemery Avigad and Henry Towsner) 

– Oberwolfach Workshop on Mathematical Logic: Proof Theory, Constructive Mathematics, 

Nov. 6-12, 2011 (jointly with Sam Buss, Michael Rathjen) 

Jens Lang 

– Invited Minisymposium on Adaptivity in Space and Time at NUMDIFF2009, 14-18 

September 2009, Halle 

– International Workshop on Multi-Scale Methods in Computational Engineering, 9-10 

December 2010, Darmstadt 

206 5 Presentations

Ulf Lorenz 

– Minisymposium: Multistage Robustness at the 21st International Symposium on 

Mathematical Programming (ISMP), Berlin 19.08.12 - 24.08.12 

Sonja Mars 

– SCIP Workshop, October 2012, Darmstadt (with Marc Pfetsch) 



Herr, Sven Herrmann, Silke Horn, Michael Joswig, Katja Kulas and Benjamin Lorenz) 

– 3rd polymake Workshop, TU Darmstadt, March 22 and 23, 2012 (with Benjamin 

Assarf, Katrin Herr, Michael Joswig, and Benjamin Lorenz) 

Marc Pfetsch 

– SCIP Workshop, October 2012, Darmstadt (with Sonja Mars) 

– Workshop “Sparse Representation of Functions: Analytic and Computational Aspects”, 

December 10–14, 2012, TU Berlin (with Gitta Kutyniok and Volker 

Mehrmann) 

Ulrich Reif 

– Industry Challenges in Geometric Modeling, CAD and Simulation - 2011 (jointly with 

Ewald Quak) 

– Industry Challenges in Geometric Modeling, CAD and Simulation - 2012 (jointly with 

Ewald Quak) 

Steffen Roch 

– Section 23 on “Applied operator theory”, GAMM Annual Meeting 2011, Graz (jointly 

with Marko Lindner) 


– Second International Workshop on Constructive Side-Channel Analysis and Secure 

Design - COSADE 2011 in Darmstadt (jointly with Sorin Huss) 

– Third International Workshop on Constructive Side-Channel Analysis and Secure Design 

- COSADE 2012 in Darmstadt (jointly with Sorin Huss) 


– Local Organizer (Chair) and member of Organizing Committee SIAM Conference on 

Optimization 2011, May 16–19, 2011, Darmstadt 

– Local Organizing Committee 83rd GAMM Annual Meeting, March 26–30, 2012, 

Darmstadt 

– Local Organizing Committee Workshop on Modeling, optimization and simulation of 

complex fluid flow, June 20–22, 2012, Darmstadt 


– Invited Minisymposium Optimal Control of Hyperbolic Conservation Laws, 25th IFIP 

TC 7 Conference, CSMO 2011, Berlin, September 12–16, 2011 

Irwin Yousept 

– Minisymposium: MS 358 Numerical PDE-constrained optimization (jointly with J.C. 

de los Reyes) at the 7th International Congress on Industrial and Applied Mathematics 

(ICIAM), Vancouver, Canada, July 18–22, 2011 

– Matheon Workshop: Optimization with PDE constraints (application area C), Berlin, 

December 19, 2011 

208 5 Presentations

6 Workshops and Visitors at the Department 

6.1 The Colloquium 

Winter term 2010/2011 

20.10.10. Prof. Dr. Jürgen Saal (Center of Smart Interfaces, TU Darmstadt), Waschmaschinen, 

Wirbelstürme und mehr: Modellierung und Analysis von rotierenden Flüssigkeiten 

27.10.10. Prof. Dr. Michael Barot (National University of Mexico), Rundgang durch Hyperbolien. 

Schwierigkeiten und Erstaunliches aus der hyperbolischen Geometrie 

03.11.10. Prof. Dr. Alain Damlamian (University of Paris-Est), The periodic unfolding 

method: an approach to homogenization and singular differential equations 

10.11.10. Prof. Dr. Ulrich Stadtmüller (Universität Ulm), Über einige Entfaltungsprobleme 

in der Statistik 

17.11.10. Prof. Dr. Tadahisa Funaki (University of Tokyo), Scaling limits for the interface 

models and derivation of nonlinear PDEs 

24.11.10. Prof. Dr. Peter Bürgisser (Universität Paderborn), Über die Wahrscheinlichkeit, 

dass ein leicht perturbiertes numerisches Problem schwierig ist 

01.12.10. Prof. Dr. Michael Griebel (Universität Bonn), Ein paralleler Level–Set–Löser für 

Zweiphasenströmungen mit Oberflächenspannung 

08.12.10. Prof. Dr. Edriss Titi (University of California, Irvine, and Weizmann Institute of 

Science, Rehovot (Israel)), Is Dispersion a Stabilizing or Destabilizing Mechanism? 

15.12.10. Prof. Dr. Angelika Bikner-Ahsbahs (Universität Bremen), Mathematikinteresse 

fördern – geht das? Einblicke in die Theorie interessendichter Situationen 

12.01.11. Prof. Dr. Friedrich Eisenbrand (Federal Polytechnic School of Lausanne), Ganzzahlige 

Optimierung und Geometrie der Zahlen 

19.01.11. Prof. Dr. Otmar Venjakob (Universität Heidelberg), Können ζ–Funktionen Diophantische 

Gleichungen lösen? 

26.01.11. Prof. Dr. Kunibert Siebert (Universität Duisburg-Essen, Duisburg), Konvergenz 

und Optimalität adaptiver Finite Elemente Verfahren 

02.02.11. Prof. Dr. Arnd Rösch (Universität Duisburg-Essen, Duisburg), Parameteridentifikation 

und optimale Steuerung bei partiellen Differentialgleichungen 

09.02.11. Prof. Dr. Roland Speicher (Universität Saarbrücken), Was sind und was sollen 

Quantenpermutationen? 

16.02.11. Prof. Dr. Annette Werner (Universität Frankfurt), Gruppen, Gebäude und analytische 

Räume 

Summer term 2011 

6 Workshops and Visitors at the Department 209

13.04.11. Priv.-Doz. Dr. Sören Kraußhar (TU Darmstadt), Hyperkomplexe automorphe 

Formen in Analysis, Geometrie und Zahlentheorie 

20.04.11. Prof. Dr. Gabriele Nebe (RWTH Aachen), Extremale Gitter 

27.04.11. Prof. Dr. Robert Schaback (Universität Göttingen), Kernbasierte gitterfreie numerische 

Methoden 

04.05.11. Prof. Dr. Helmut Linneweber-Lammerskitten (Fachhochschule Nordwestschweiz, 

Aarau), Mathematische Kurzfilme und autonomes Lernen 

11.05.11. Prof. Dr. Jaap van Oosten (University of Utrecht), Synthetic Nonstandard Arithmetic 

18.05.11. Prof. Dr. Reinhold Schneider (TU Berlin), Coupled Cluster-Methoden zur Berechnung 

der elektronischen Struktur 

25.05.11. Graduation Ceremony for winter term 2010/2011 and summer term 2011: Prof. 

Dr. William A. Casselman (University of British Columbia, Vancouver), Kunst in der 

Mathematik, Mathematik in der Kunst 

01.06.11. Prof. Dr. Hansjörg Geiges (Universität Köln), Wie zeichnet man bis zu 5- 

dimensionale Mannigfaltigkeiten? 

08.06.11. Prof. em. Dr. Dr. h.c. Erich Wittmann (TU Dortmund), Mathematik vom 

Kindergarten bis zum Abitur aus einem Guss 

15.06.11. Prof. Dr. Gabriel Wittum (Universität Frankfurt), Modellierung und Simulation 

komplexer Systeme: Zellen, Stofftransport, Strömungen und mehr 

22.06.11. Prof. Dr. Ingo Steinwart (Universität Stuttgart), Statistische Analyse von Support 

Vector Machines 

29.06.11. Prof. Dr. Hannah Markwig (Universität Saarbrücken), Überlagerungen algebraischer 

Kurven und tropische Hurwitzzahlen 

06.07.11. Prof. Dr. Jan Hendrik Bruinier (TU Darmstadt), Die Arithmetik von Partitionen 

13.07.11. Prof. Dr. Jan Prüß (Universität Halle), Evolutionsgleichungen, maximale Regularität 

und freie Randwertprobleme 


19.10.11. Prof. Dr. Dorin Bucur (University of Savoie, Chambéry), Could rough boundaries 

be more slippery? 

26.10.11. Memorial Colloquium in Honour of Prof. Dr. Benno Artmann (TU Darmstadt), 

•. Prof. Dr. Günter Törner (Universität Duisburg-Essen), Mathematische Wissenschaften 

im Wandel der Zeit? Eine Hommage an Benno Artmann 

•. Prof. Dr. Dietmar Guderian (Pädagogische Hochschule Freiburg), Zufall – Zahlen – 

Wegenetze: Berührungen zwischen Mathematik und der Kunst der Gegenwart 

210 5 Presentations

02.11.11. Prof. Dr. Robert Weismantel (ETH Zürich), Black-Box-Algorithmen zur Minimierung 

konvexer Funktionen über ganzzahligen Punkten in Polyedern 

09.11.11. Prof. Dr. Roland Pulch (Bergische Universität Wuppertal), Stochastische 

Galerkin-Ansätze für Differentialgleichungssysteme mit zufallsabhängigen Parametern 

16.11.11. Prof. Dr. Alfio Borzi (Universität Würzburg), PDE Optimierung unter Unsicherheiten 

und die Suche nach einer Robusten Steuerung 

23.11.11. Prof. em. Dr. Dr. h.c. Erich Wittmann (TU Dortmund), Mathematik vom 

Kindergarten bis zum Abitur aus einem Guss 

30.11.11. Prof. Dr. Dr. h.c. Hans-Dieter Alber (TU Darmstadt), Der Grenzübergang 

vom Phasenfeldmodell zum Modell mit scharfer Grenzfläche – effektive Simulation von 

Phasenübergängen 

07.12.11. Prof. Dr. Özlem Imamoglu (ETH Zürich), Some old and new results on Klein’s 

j-invariant 

14.12.11. Prof. Dr. Alex Simpson (University of Edinburgh), The Topology of Randomness 

21.12.11. Dr. Cornelia Wichelhaus (Universität Heidelberg), Nichtparametrische Analyse 

für Netzwerke von Warteschlangen 

11.01.12. Prof. Dr. Markus Bläser (Universität Saarbrücken), Untere Schranken für die 

Komplexität der Matrixmultiplikation und das Tensorrang-Problem 

18.01.12. Prof. Dr. Reinhard Racke (Universität Konstanz), Stabilität in thermoelastischen 

Systemen: Fourier versus Cattaneo 

25.01.12. Prof. Dr. Werner Blum (Universität Kassel), Verlässliche Individualdiagnosen mit 

0/1-Kodierungen? Chancen und Grenzen von "Vergleichsarbeiten" im Fach Mathematik 

01.02.12. Prof. Dr. Wolfgang Rueß (Universität Duisburg-Essen), Flussinvarianz bei nichtlinearen 

Evolutionsgleichungen mit Gedächtnis 

08.02.12. Prof. Dr. Iain Gordon (University of Edinburgh), Quantization of symplectic 

varieties and representation theory 

Summer term 2012 

11.04.12. Prof. Dr. Volker Betz (TU Darmstadt), Brown’sche Bewegung, Feynman-Kac- 

Pfadintegrale und Bose-Einstein-Kondensation: Methoden der Wahrscheinlichkeitstheorie 

in der mathematischen Quantenphysik 

18.04.12. Prof. Dr. Benoît Daniel (University of Lorraine, Nancy), Constant mean curvature 

surfaces in homogeneous manifolds 

25.04.12. Prof. em. Dr. Günter Harder (Max-Planck-Institut für Mathematik, Bonn), 

Kohomologie arithmetischer Gruppen und zahlentheoretische Anwendungen 

02.05.12. Prof. Dr. Joachim von zur Gathen (Bonn-Aachen International Center for Information 

Technology (b-it) Bonn), Census of polynomials 

6.1 The Colloquium 211

09.05.12. Prof. Dr. Werner Schindler (Bundesamt für Sicherheit in der Informationstechnik 

(BSI), Bonn, and Center for Advanced Security Research Darmstadt (CASED)), 

Stochastik und mathematische Statistik in der Kryptographie und IT-Sicherheit 

16.05.12. Prof. Dr. Lisa Hefendehl-Hebeker (Universität Duisburg-Essen), Zur Entwicklung 

algebraischen Denkens – von präalgebraischen Kontexten zum "Structure Sense" 

23.05.12. Prof. Dr. Ivan Izmestiev (TU Darmstadt), Infinitesimale Starrheit konvexer 

Flächen und Variationen des Hilbert-Einstein-Funktionals 

30.05.12. Graduation Ceremony for winter term 2011/2012 and summer term 2012: Prof. 

Dr. Günter M. Ziegler (FU Berlin), "Das ist doch keine Kunst?" Sieben Bilder aus der 

Mathematik 

06.06.12. Prof. Dr. Joachim Escher (Universität Hannover), Zur Regularitätstheorie von 

Lösungen des klassischen Wasserwellenproblems 

13.06.12. Prof. Dr. Stefan Müller-Stach (Universität Mainz), Perioden und Motive: eine 

Einführung 

20.06.12. Prof. Dr. Willem Hundsdorfer (Centrum Wiskunde & Informatica, Amsterdam), 

IMEX Methods: Attempts to get the best from Implicit and Explicit Methods 

27.06.12. Prof. Dr. Ysette Weiss-Pidstrygach (Universität Mainz), Geschichte der Mathematik 

als Quelle der Inspiration zur Unterrichtsgestaltung 

04.07.12. Prof. Dr. Benjamin Miller (Universität Münster), Borel equivalence relations, 

classification problems, and definable cardinality 

11.07.12. Prof. Dr. Marc Pfetsch (TU Darmstadt), Compressed Sensing und Diskrete Optimierung 


17.10.12. Prof. Dr. Priska Jahnke (TU Darmstadt), Klassifikation algebraischer Varietäten 

und ihre Bedeutung in der Kryptographie 

24.10.12. Prof. Dr. Vasco Brattka (Universität der Bundeswehr München), Wie kann man 

mathematische Sätze sortieren? 

31.10.12. Prof. Dr. Martin Gander (University of Geneva), Euler, Ritz, Galerkin, Courant: 

On the road to the finite element method 

07.11.12. Prof. Dr. Patrizio Neff (Universität Duisburg-Essen), Neues zur Kornschen Ungleichung 

in der linearen Elastizitätstheorie 

14.11.12. Prof. Dr. Christian Haase (Universität Frankfurt), Diskrete Methoden in Algebra 

und algebraischer Geometrie 

21.11.12. Prof. Dr. Isabelle Gallagher (University of Paris Diderot (Paris VII)), On the 

geometry of the set of global solutions to the Navier-Stokes equations 

28.11.12. Prof. Dr. Anton Wakolbinger (Universität Frankfurt), Zufällige Genealogien 

212 5 Presentations

05.12.12. Prof. Dr. Robert Denk (Universität Konstanz), Pseudodifferentialoperatoren und 

maximale L p -Regularität 

12.12.12. Prof. Dr. Manfred Lehn (Universität Mainz), Der Satz von Grothendieck- 

Brieskorn-Slodowy und symplektische Hyperflächensingularitäten 

19.12.12. Prof. Dr. Gerhard Huisken (Max-Planck-Institut für Gravitationsphysik, 

Potsdam-Golm), Der Fluss von Flächen entlang der inversen mittleren Krümmung und 

seine Anwendungen 

16.01.13. Prof. Dr. Stefan Ufer (LMU München), Lernen aus Fehlern im Mathematikunterricht 

23.01.13. Prof. Dr. Martin Möller (Universität Frankfurt), Kenngrößen für die Dynamik von 

Billardtischen 

30.01.13. Prof. Dr. Volker Kaibel (Universität Magdeburg), Erweiterte Formulierungen 

ganzzahliger Optimierungsprobleme 

06.02.13. Prof. Dr. Stefan Volkwein (Universität Konstanz), A-Posteriori-Fehleranalyse für 

die Optimalsteuerung von partiellen Differentialgleichungen: Analysis und Numerik 

13.02.13. Prof. Dr. Irwin Yousept (TU Darmstadt), Optimal control of electromagnetic 

processes and its modern applications 

6.2 Seminar Talks 

06.06.12. Prof. Dr. Joachim Escher (Universität Hannover), Zur Regularitätstheorie von 

Lösungen des klassischen Wasserwellenproblems 

17.02.12. Prof. Corneliu Balan (Polytechnical University of Bukarest), Rheology and thermodynamics 

of viscoelastic materials 

09.02.12. Prof. Henri Gouin (University of Aix-Marseille and C.N.R.S. UMR 6181), Interactions 

between liquids and solids. Fluid motions at nanoscales 

08.08.11. Prof. Azei Tezuka (WASEDA University), Global stability of flow around various 

shaped objects 

11.07.11. Dr. Viactehslav Bykov (Karlsruhe Institute of Technology (KIT)), Model reduction 

for chemically reacting flows 

25.09.11. Prof. Dr. Anne Prescott (University of Technology Sydney, Australia), Teacher 

professionell Development-research questions and answers 

29.03.11. Dr. Shaul Zemel (Hebrew University, Israel), Relations between Heegner cycles 

over modular and Shimura curves 

15.05.12. Dr. Martin Raum (MPIM, Bonn), Why does the two-variable µ-function split 

26.06.12. Prof. Stephen Kudla (University of Toronto, Canada), Modular generating series 

for arithmetic special cycles 

6.2 Seminar Talks 213

10.07.12. Prof. Dr. Jens Funke (University of Durham, UK), The Kudla-Millson theta lift 

for SO(2,2) 

24.07.12. Dr. Larry Rolen (University of Atlanta, USA), Integrality of Hilbert class polynomials 

for non-holomorphic modular functions 

20.11.12. Dr. Hatice Bolyan (Universiät Siegen), Linear characters of Hilbert modular 

groups and associated automorphic forms 

11.05.11. Dipl.-Math. Giulia Giantesio (Università di Ferrara, Italien), MHD oblique 

stagnation-point flow 

13.07.11. Prof. Dr. Alexander Ramm (Kansas State University, Manhattan, USA), Stability 

of solutions to some evolution problems 

23.03.12. Costas Poulios (University of Athens), The fixed point property on tree-like Banach 

spaces 

11.01.11. Prof. Dr. Dirk Blömker (Universität Augsburg), On a PDE from surface growth - 

Problems with existence and uniqueness 

18.01.11. Thorsten Riedl (Universität Bayreuth), Existence, Uniqueness Questions and Regularity 

of Solutions to div v = p, v ∈ H m,q 

0 

(G) 

25.01.11. PD Dr. Peer Kunstmann (Karlsruhe Institute of Technology (KIT)), On optimal 

L p - L q estimates for parabolic boundary value problems 

01.02.11. Dr. Mats Ehrnström (Universität Hannover), Existence of steady water waves with 

multiple critical layers 

01.02.11. Andreas Schulz (RWTH Aachen), Über die optimale Rohrform beim Flüssigkeitstransport 

08.02.11. Dr. Kohei Soga (Waseda University, Tokyo, Japan), Continous limit of random 

walks and its application to approximation of nonlinear PDEs 

28.02.11. Prof. Dr. Josef Malek (Charles University, Prague), Non-Newtonian fluid mechanics 

and analysis of relevant boundary-value problems 

28.02.11. Prof. Dr. Takaaki Nishida (Waseda University), Pattern formation of heat convection 

problems 

28.02.11. Prof. Dr. Boris Vexler (TU München), Space-time finite element methods for 

optimal control problems 

28.02.11. Thorsten Riedl (Universität Bayreuth), Existence, Uniqueness Questions and Regularity 

of Solutions to div v=p 

28.02.11. Piotr Minakowski (University of Warsaw), On the constitutive relations for electrorheological 

fluids 

01.03.11. Hani Ali (University of Rennes), On a critical Leray alpha model of turbulence: 

Regularity and Singularity issues 

214 5 Presentations

01.03.11. Jan Burczak (University of Warsaw), On the blowup of parabolic-parabolic Keller- 

Segel system 

01.03.11. Giulia Giantesio (University of Ferrara), MHD oblique stagnation-point flow of a 

Newtonian fluid 

01.03.11. Tomasz Piasecki (University of Warsaw), Compressible perturbation of a 

Poiseuille-type flow with slip boundary conditions 

01.03.11. Joanna Renclawowicz (University of Warsaw), On global nonstationary flow for 

the Navier-Stokes equations 

01.03.11. Masahiro Suzuki (Waseda University, Tokyo), Stationary solutions to the Euler- 

Poisson equations arising in plasma physics 

02.03.11. Jan Brezina (Kyushu University), On the linearized stability of time-periodic parallel 

flows to the compressible Navier-Stokes equations 

02.03.11. Dr. Elfriede Friedmann (Universität Heidelberg), Efforts in drag calculation of 

rough surfaces in turbulent flow: Modeling and asymptotic analysis 

02.03.11. Matthias Maier (Universität Heidelberg), Efforts in drag calculation of rough surfaces 

in turbulent flow: Numerical simulation and validation 

02.03.11. Prof. Dr. Sarka Nečasová (Academy of Sciences of the Czech Republic, Prague), 

On a model in radiation hydrodynamics 

02.03.11. Takahiro Okabe (Tohoku University, Sendai), L 2 decay of the Navier-Stokes flow 

in the half-space 

02.03.11. Gabriela Rusnakova (Universität Mainz), Modeling of Blood Flow in Compliant 

Vessels: Numerical Results & Stability Analysis 

19.04.11. Prof. Dr. Lorenzo Brandolese (University of Lyon, France), Large time behavior 

for a viscous Boussinesq system 

26.04.11. Dr. Philipp Reiter (Universität Freiburg), Approximation nicht-konvexer 

anisotroper Energien 

10.05.11. Daniel Lengeler (Universität Freiburg), Global existence for a fluid-shell interaction 

problem 

17.05.11. Prof. Dr. Muriel Boulakia (Pierre-and-Marie-Curie University (Paris VI)), Controllability 

of a fluid-structure interaction problem 

24.05.11. Prof. Dr. Juan Carlos de los Reyes (National Technical University, Quito), PDEconstrained 

optimization techniques for nonsmooth problems arising in fluid mechanics 

30.05.11. Prof. Dr. Yoshikazu Giga (University of Tokyo), Analyticity of the Stokes semigroup 

in Spaces of Bounded Functions 

14.06.11. Prof. Dr. Pierre-Etienne Druet (WIAS Berlin), On existence and regularity results 

for the equations of magnetohydrodynamics in complex geometries 


29.06.11. Prof. Dr. Michael Renardy (Virginia Tech, U.S.A), Zur Stabilität viskoelastischer 

Strömungen 

12.07.11. Prof. Dr. Antonio Russo (Second University of Naples), Existence theorem for the 

steady-state two-dimensional exterior Navier-Stokes equations 

15.09.11. Dr. Satoshi Yokoyama (Waseda University), Construction of weak solutions of a 

certain stochastic Navier-Stokes equation 

18.10.11. Prof. Dr. Dorin Bucur (University of Savoy), A Gamma convergence approach to 

the rugosity effect 

18.10.11. Prof. Dr. Edriss Titi (University of California, Irvine & Weizmann Institute), A 

Numerical Algorithm for Advancing Slow Features in Fast-Slow Systems without Scale 

Separation - A Young Measure Approach 

25.10.11. Konrad Böttcher (TU Dortmund), Radial spreading and stability of thin rotating 

drops 

01.11.11. Erika Ushikoshi (Tohoku University), Hadamard variational formula for the 

Green Matrix of the Stokes equations 

08.11.11. Prof. Dr. Hans Knüpfer (Universität Bonn), Moving contact line and lubrication 

approximation 

08.11.11. Prof. Dr. Daoyuan Fang (Zhejiang University, China), Global solution for the idea 

incompressible viscoelastic fluids in the critical L p framework 

15.11.11. Kendy Diogo Matsumoto (Waseda University), Dynamical braces and dynamical 

Yang-Baxter maps 

15.11.11. Yoichi Enatsu (Waseda University), Stability analysis of a positive equilibrium for 

delayed epidemic models 

22.11.11. Hajime Koba (Waseda University), Weak solutions of an Ekman perturbed system, 

the uniqueness, and the smoothness 

22.11.11. Ken Abe (Waseda University), Generation of analytic semigroups by the Stokes 

operator in spaces of bounded functions 

06.12.11. Prof. Dr. Yutaka Terasawa (University of Tokyo), On Hausdorff dimension of 

Blow-Up times relavant to weak solutions of generalized Navier-Stokes fluids 

13.12.11. Dr. Sven Groß (RWTH Aachen), XFEM for 3D incompressible two-phase flow 

problems 

20.12.11. Bin Han (Zhejiang University, China), Global existence for the two dimensional 

incompressible viscous fluid with linearly growing initial velocity 

20.12.11. Ruizhao Zi (Zhejiang University, China), Decay Estimates for Isentropic Compressible 

Navier-Stokes Equations in Bounded Domain 

10.01.12. Prof. Dr. Wolf-Patrick Düll (Universität Stuttgart), Approximation theorems for 

the water wave problem in the arc length formulation 

216 5 Presentations

17.01.12. Prof. Dr. Wolfgang Dreyer (WIAS Berlin), The incompressible two-phase flow in 

the diffuse interface setting 

24.04.12. Dr. Elfriede Friedmann (Universität Heidelberg), In search of an optimal surface: 

drag predictions of rough surfaces from boundary layer models 

08.05.12. Mathias Wilke (Universität Halle-Wittenberg), On the Rayleigh-Taylor instability 

for the two-phase Navier-Stokes equations with surface tension in a capillary 

15.05.12. Prof. Dr. Jörg Wolf (Universität Magdeburg), Generalization of the Caffarelli- 

Kohn-Nirenberg theorem with applications in the theory of Newtonian and non- 

Newtonian incompressible fluids 

29.05.12. Prof. Dr. Gudrun Thäter (Karlsruhe Institute of Technology (KIT)), Rayleigh- 

Bénard-Convection: Boussinesq approximation and generalizations 

19.06.12. Prof. Dr. Simon Blatt (University of Warwick), Analysis of O’Hara’s knot energies 

26.06.12. Hirokazu Saito (Waseda University), On the L p − L q maximal regularity of the 

Neumann-Dirichlet problem for the Stokes equations in an infinite layer 

03.07.12. Miho Murata (Waseda University), On the sectorial -boundedness of the Stokes 

operator for the compressible viscous fluid flow with slip boundary condition 

03.07.12. Ruizhao Zi (Zhejiang University), Global classical large solutions to a 1D fluidparticle 

interaction model: The bubbling regime 

03.07.12. Hui Chen (Zhejiang University), Remark on multiscale asymptotic behavior of the 

Schrodinger equation 

10.07.12. Prof. Dr. Nader Masmoudi (Courant Institute, New York), Existence Results for 

some Micro-Macro Models 

10.07.12. Prof. Dr. Chun Liu (Penn State, State College), Energetic Variational Approaches 

for Ionic Fluids and Ion Channels 

10.07.12. Prof. Dr. Yasunori Maekawa (Kobe University), On zero viscosity limit of viscous 

incompressible flows in the half plane 

10.07.12. Prof. Dr. László Szekélyidi (Universität Leipzig), Dissipative Euler flows and 

Onsager’s conjecture 

10.07.12. Prof. Dr. Uwe Thiele (Loughborough University), The rugged beauty of deposition 

patterns at receding contact lines 

10.07.12. Dr. Elfriede Friedmann (Universität Heidelberg), Analytical and numerical issues 

about Drag Predictions from boundary layer models of turbulent flow over rough surfaces 

10.07.12. Thomas Wick (Universität Heidelberg), Adaptive Finite Elements for PDE- 

Constrained Optimization with Fluid-Structure Interaction 

10.07.12. Tristan Buckmaster (Universität Leipzig), The Korteweg-de Vries Equation at H −1 

regularity 


11.07.12. Dr. Franck Sueur (Pierre-and-Marie-Curie University (Paris VI)), Uniqueness results 

for weak solutions of two-dimensional fluid-solid systems 

11.07.12. Prof. Dr. Michael Růžička (Universität Freiburg), Numerical analysis of problems 

with p-structure 

11.07.12. Prof. Dr. Joachim Naumann (HU Berlin), Remarks on Kolmogorov’s and Prandtl’s 

model of turbulence 

11.07.12. Prof. Dr. Slim Ibrahim (University of Victoria), On the wellposedness of the 

Navier-Stokes Maxwell equations 

11.07.12. Prof. Dr. Werner Varnhorn (Universität Kassel), On extensions of Serrin’s condition 

for the Navier-Stokes equations 

11.07.12. Dr. Thomas Richter (Universität Heidelberg), Fluid-Structure Interactions in Eulerian 

Coordinates 

11.07.12. Mathias Wilke (Universität Halle-Wittenberg), On the Rayleigh-Taylor instability 

for the two-phase Navier-Stokes equations with surface tension in a capillary 

12.07.12. Prof. Dr. Raphael Danchin (University of Paris XII), A Lagrangian approach for 

inhomogeneous incompressible fluids 

12.07.12. Prof. Dr. Daoyuan Fang (Zhejiang University, Hangzhou), Strong Solutions of 

3D Compressible Oldroyd-B Fluids 

12.07.12. Prof. Dr. Luc Molinet (University of Tours), Newtonian limit for some viscoelastic 

models 

12.07.12. Prof. Dr. Hideo Kozono (Waseda University), Uniqueness of weak solutions of the 

Navier-Stokes equations in general unbounded domains 

12.07.12. Prof. Dr. Hans Knüpfer (Universität Bonn), Well-posedness & Lubrication approximation 

of the Darcy flow in the presence of a moving contact line 

12.07.12. Prof. Dr. Okihiro Sawada (Gifu University), Ill-posedness and norm-inflation 

arguments of the 3-D Navier-Stokes 

12.07.12. Prof. Dr. Sarka Nečasová (Academy of Sciences of the Czech Republic, Prague), 

Weak solutions for the motion of a self-propelled deformable structure in a viscous incompressible 

fluid 

12.07.12. PD Dr. Peer Kunstmann (Karlsruhe Institute of Technology (KIT)), Functional 

calculi for some operators in fluid dynamics 

13.07.12. Prof. Dr. Eduard Feireisl (Academy of Sciences of the Czech Republic, Prague), 

A new approach to thermodynamics of liquid crystals 

13.07.12. Prof. Dr. Helmut Abels (Universität Regensburg), On a Diffuse Interface Model 

for Two-Phase Flows with Different Densities and Degenerate Mobility 

13.07.12. Prof. Dr. Sylvie Monniaux (Paul Cézanne University Aix-Marseille III), Navier- 

Stokes-Coriolis equations in unbounded domains 

218 5 Presentations

13.07.12. Prof. Dr. Yoshihiro Shibata (Waseda University), On some unique existence theorem 

of strong solutions in the mathematical theory of viscous compressible fluid flow 

13.07.12. Prof. Dr. Andreas Prohl (Universität Tübingen), Space-time discretization of the 

stochastic incompressible Navier-Stokes equation 

13.07.12. Prof. Dr. Jan Prüss (Universität Halle-Wittenberg), Modeling and Analysis of 

Incompressible Two-Phase Flows with Phase Transitions and Variable Surface Tension 

16.10.12. Ken Abe (Waseda University), Stokes resolvent estimates in spaces of bounded 

functions 

23.10.12. Tomoyuki Nakatsuka (Waseda University), Uniqueness of steady Navier-Stokes 

flows in exterior domains 

30.10.12. Dr. Martin Meyries (Universität Halle-Wittenberg), Traces and embeddings of 

anisotropic function spaces 

20.11.12. Prof. Dr. Isabelle Gallagher (University of Paris Diderot (Paris VII)), Remarks on 

global solutions to the incompressible Navier-Stokes equations 

27.11.12. Pen-Yuan Hsu (Waseda University), On nonexistence for stationary solutions to 

the Navier-Stokes equations with a linear strain 

27.11.12. Yuto Imai (Waseda University), The quarternification of the Lie algebra 

M ap(S 3 , g) and its central extension 

11.12.12. Dr. Bogdan-Vasile Matioc (Universität Wien), Two-phase flows in porous media 

10.05.11. Prof. Dr. Jaap van Oosten (University of Utrecht), Another Heyting Algebra for 

embedding the Turing degrees 

13.05.11. Christian Ikenmeyer (Universität Paderborn), Introduction to Geometric Complexity 

Theory and Tensor Rank 

20.05.11. Dr. Martin Lotz (University of Edinburgh), Geometry and Complexity in Optimization 

07.07.11. Victor Poupet (Aix-Marseille University), Elementary construction of an aperiodic 

tile set 

08.07.11. Prof. Dr. Vasco Brattka (University of Cape Town), Computable Analysis in the 

Weihrauch Lattice 

05.08.11. Dr. Akitoshi Kawamura (University of Tokyo), Why Lipschitz Continuous Ordinary 

Differential Equations are Polynomial-Space Complete 

16.09.11. Dr. Akitoshi Kawamura (University of Tokyo), Distance k-Sectors and zone diagrams 

07.10.11. Takayuki Kihara (Tohoku University), Non-computability of planar continua 

07.10.11. Hideki Tsuiki (University of Kyoto), Unimodal Maps as Boundary-Restrictions of 

Two-Dimensional Full-Folding Maps 


11.11.11. Shiguang Feng (Sun Yat-sen University Guangzhou), The expressive Power and 

Complexity of second-ordered extended Horn Logic and Krom Logic 

06.12.11. Dr. Paulo Oliva (Queen Mary University of London), On the restricted form of 

Spector’s bar recursion 

12.01.12. Yoshihiro Maruyama (Oxford University), Chu duality, Born coalgebras, and 

quantum symmetries 

13.01.12. Prof. Dr. Sam Sanders (Ghent University), Reuniting the antipodes: Bringing 

together Nonstandard Analysis and Constructive Analysis 

18.01.12. Prof. Dr. Jean-Yves Beziau (Federal University of Rio de Janeiro), Universal 

Logic: A general completeness theorem 

20.04.12. Samuele Maschio (University of Pavia), Initial algebras and internal syntax 

02.05.12. Prof. Dr. Joachim von zur Gathen (Bonn-Aachen International Center for Information 

Technology), Census of polynomials 

18.05.12. Dr. Andrey Morozov (Sobolev Institute of Mathematics), On Sigma-definability 

of structures over the reals 

01.06.12. Prof. Dr. André Nies (University of Auckland), Algorithmic randomness and 

differentiability 

22.06.12. Atefeh Keshavarzi Zafarghandi (Amirkabir University of Technology), Dynamical 

System via Domain Theory 

04.07.12. Prof. Dr. Benjamin Miller (Universität Münster), Borel equivalence relations, 

classification problems, and definable cardinality 

06.07.12. Prof. Dr. Benjamin Miller (Universität Münster), An anti-basis theorem for definable 

cardinals 

17.07.12. Prof. Dr. Hans-Peter Künzi (University of Cape Town), The Katetov construction 

revisited 

24.08.12. Tahereh Jafarikhah (University of Tehran), Computable Riesz representation on 

the dual of C[0;1] 

24.08.12. Hiroyuki Ota (University of Tokyo), Computational complexity of smooth differential 

equations 

21.09.12. Arno Pauly (University of Cambridge), Synthetic Descriptive Set Theory 

19.10.12. Viktor Winschel (Universität Mannheim), Coalgebraic Analysis of Subgameperfect 

Equilibria in Infinite Games without Discounting - Towards Reflexive Economics 

24.10.12. Prof. Dr. Vasco Brattka (Universität der Bundeswehr München), Wie kann man 

mathematische Sätze sortieren? 

26.10.12. Prof. Dr. Reiner Hähnle (TU Darmstadt, Fachbereich Informatik), Abstract Symbolic 

Execution 

220 5 Presentations

09.11.12. PD Dr. Laurentiu Leustean (Simion Stoilow Institute of Mathematics of the 

Romanian Academy), Proof mining in nonlinear analysis 

14.11.12. Prof. Christian Haase (Universität Frankfurt), Linearsysteme auf tropischen Kurven 

16.11.12. PD Dr. Olaf Beyersdorff (Universität Hannover), How difficult is it to verify 

proofs? 

23.11.12. Makoto Fujiwara (Tohoku University), Marriage Theorem for Countable Graphs 

and Computability 

29.11.12. Dr. Rasmus Møgelberg (ITU Copenhagen), Presheaf models for guarded recursion 

04.12.12. Dr. Tomer Kotek (University of Haifa), Applications of logic in graph theory: 

definability of graph invariants 

14.12.12. Dr. Kord Eickmeyer (National Institute of Informatics, Tokyo), Order-invariant 

logics on restricted classes of structures 

07.02.11. Dr. Hassan Farshbaf-Shaker (Universität Regensburg), A Relaxation approach to 

Allen-Cahn MPEC problems 

29.03.11. Thomas Rehn (Universität Rostock), Computational Tools for Exploiting Symmetries 

29.03.11. Brandon Dutra (University of California at Davis), Software for Exact Integration 

of Polynomials Over Polyhedra 

11.04.11. Prof. Dr. Martin Rumpf (Universität Bonn), Multi-Scale Linear and Nonlinear 

Elastic Shape Optimization under Uncertainty 

24.05.11. Prof. Dr. Juan Carlos De Los Reyes (National Technical University Quito), PDEconstrained 

optimization techniques for nonsmooth problems arising in fluid mechanics 

30.05.11. Dr. Carsten Lange (FU Berlin), Minkowski decompositions of associahedra 

06.06.11. Dr. Xavier Allamigeon (École Polytechnique), Algorithmics of tropical polyhedra, 

and application to software verification 

10.11.11. Dr. Alexander Rahm (Weizmann Institute of Science), Polyhedral models for 

arithmetic groups 

14.11.11. Dr. Priska Jahnke (TU Darmstadt), Fano-Varietäten 

07.12.11. Pascal Benchimol (École Polytechnique), Tropicalization of interior point methods 

in linear programming 

23.01.12. Dr. Nicole Megow (TU Darmstadt/MPI Saarbrücken), Scheduling unter Unsicherheit: 

Modelle, Algorithmen und Praxisanwendungen 

14.03.12. Madhusudan Manjunath (MPI Saarbrücken), Riemann-Roch theorems in discrete 

mathematics: an overview 


23.03.12. Dr. Mathieu Dutour Sikirić (Ru¯der Bošković Institute, Zagreb), Polyhedral: A 

GAP package for dual description and homology computations 

18.04.12. Arnaud Padrol (Polytechnic University of Catalonia), Many neighborly polytopes 

27.04.12. Dr. Julian Pfeifle (Polytechnic University of Catalonia), Removing symmetry from 

the Universal Polytope 

03.05.12. Dr. Thomas Albrecht (Forschungszentrum Dresden Rossendorf), Control of fluid 

flow using electromagnetic body forces 

07.05.12. Dr. Benjamin Burton (University of Queensland, Brisbane), Normal surface theory: 

Using the big machine 

07.05.12. Prof. Stephan Tillmann (University of Sydney), Cross ratios, representations and 

valuations 

13.06.12. Dr. Nitin Ahuja (PTV AG), Some Problems From The World Of Transport Logistics 

15.08.12. Prof. Dr. Benjamin Nill (Case Western Reserve University, Cleveland), Von 

Ehrhart-Theorie zu fast-nachbarschaftlichen Polytopen 

06.09.12. Dr. Domenico Salvagnin (University of Padova), Randomness and Tree Search / 

Approximating the first split closure 

10.09.12. Prof. Dr. Sebastian Pokutta (Georgia Tech), Linear Programming Formulierungen 

für das TSP Polytop 

06.12.12. Prof. Dr. Dirk Pauly (Universität Duisburg-Essen), Functional A Posteriori Error 

Estimates for Static Maxwell Type Problems 

10.12.12. Prof. Francsico Santos (University of Santander), Diameter of simplicial complexes 

and their combinatorial abstractions 

13.04.11. Prof. Dr. Vladimir S. Rabinovich (IPN Mexico City), The essential spectrum of 

pseudodifferential operators with operator-valued symbols 

07.06.11. Prof. Dr. Gerald Höhn (Kansas State University, USA), Extremale Vertexoperator- 

Algebren 

21.06.11. Prof. Dr. Rudolf Scharlau (TU Dortmund), Existenz und Nicht-Existenz extremaler 

Gitter 

05.07.11. Prof. Dr. Thorsten Wedhorn (Universität Paderborn), The fundamental lemma 

(after Ngo) 

19.07.11. Dr. Nora Ganter (University of Melbourne, Australia), Elliptic Schubert calcalus 

14.10.11. Prof. Dr. Martin Ziegler (TU Darmstadt), An invitation to algebraic complexity 

theory 

25.10.11. Dr. Kappagantula Gopala Krishna (MPI Bonn), Counting dyonic states in string 

theory using modular forms 

222 5 Presentations

22.11.11. Prof. Dr. Winfried Kohnen (Universität Heidelberg), Verallgemeinerte Modulformen 

29.11.11. Prof. Dr. Eberhard Freitag (Universität Heidelberg), Einige neue Calabi-Yau Mannigfaltigkeiten 

07.08.12. Dr. Nora Ganter (University of Melbourne, Australia), Representation and character 

theory in 2-categories 

18.12.12. Prof. Dr. Gerald Höhn (HIM Bonn), Mathieu moonshine 

18.12.12. Prof. Dr. Tomoyuki Arakawa (RIMS Kyoto, Japan), Affine W -algebras 

14.03.12. Dr. Stefan Görtz (Deutsches Zentrum für Luft- und Raumfahrt, Braunschweig), 

Reduzierte Modelle für aerodynamische Berechnungen 

6.3 Visitors 

Guillaume Rolland (ENS Cachan, Antenne de Bretagne), June 2011, December 2011. 

Yangkyun Kim (Hokkaido University), January to February 2012. 

Kohei Soga (Waseda University), January to February 2012. 

Prof. Dr. Anne Prescott (University of Technology Sydney, Australia), September 2011. 

Prof. Dr. Jens Funke (University of Durham, UK), July 2011. 

Prof. Dr. Jens Funke (University of Durham, UK), December 2011. 

Prof. Stephen Kudla (University of Toronto, Canada), December 2011. 

Prof. Tonghai Yang (University of Wisconsin, USA), January 2012. 

Prof. Tonghai Yang (University of Wisconsin, USA), May 2012. 

Prof. Stephen Kudla (University of Toronto, Canada), June to July 2012. 

Prof. Dr. Jens Funke (University of Durham, UK), July 2012. 

Prof. Stephen Kudla (University of Toronto, Canada), October 2012. 

Dipl.-Math. Giulia Giantesio (Università di Ferrara, Italien), April to July 2011. 

Prof. Dr. Alexander Ramm (Kansas State University, Manhattan, USA), July 2011. 

Prof. Dr. Josef Bemelmans (RWTH Aachen), May 2012. 

Prof. Dr. Josef Malek (Mathematical Institute Charles University, Prague), February - March 

2011. 

Prof. Dr. Yoshikazu Giga (University of Tokyo), May - June 2011. 

Prof. Dr. Robert Denk (Universität Konstanz), July 2011. 

6.3 Visitors 223

Prof. Dr. Edriss Titi (University of California, Irvine & Weizmann Institute), October 2011. 

Prof. Dr. Yoshihiro Shibata (Waseda University, Tokyo), March 2012. 

Prof. Dr. Chun Liu (Penn State, State College), July 2012. 

Prof. Dr. Helmut Abels (Universität Regensburg), July 2012. 

Prof. em. Sidney A. Morris (University of Ballarat), April 2012. 

Prof. Dr. Dirk Blömker (Universität Augsburg), January 2011. 

Thorsten Riedl (Universität Bayreuth), January 2011. 

PD Dr. Peer Kunstmann (Karlsruhe Institute of Technology (KIT)), January 2011. 

Dr. Mats Ehrnström (Universität Hannover), January - February 2011. 

Andreas Schulz (RWTH Aachen), February 2011. 

Dr. Kohei Soga (Waseda University), February 2011. 

Prof. Dr. Takaaki Nishida (Waseda University), February - March 2011. 

Prof. Dr. Boris Vexler (TU München), February - March 2011. 

Prof. Dr. Yoshiaki Teramoto (Osaka University), February - March 2011. 

Prof. Dr. Wojciech Zajaczkowski (Polish Academy of Sciences, Warsaw), February - March 

2011. 

Prof. Dr. Sarka Necasova (Czech Academy of Sciences, Prague), February - March 2011. 

Prof. Dr. Asei Tezuka (Waseda University, Tokyo), March 2011. 

Giacomo Albi (University of Ferrara), March 2011. 

Hani Ali (University of Rennes), March 2011. 

Robin Beier (Universität Bielefeld), March 2011. 

Georgij Bispen (Universität Mainz), March 2011. 

Johannes Brand (RWTH Aachen), March 2011. 

Jan Brezina (Kyushu University), March 2011. 

Jan Burczak (University of Warsaw), March 2011. 

Matteo Cerminara (University of Pisa), March 2011. 

Matthias Deipenbrock (RWTH Aachen), March 2011. 

Paul Deuring (University of the Littoral Opal Coast, Calais), March 2011. 

Elfriede Friedmann (Universität Heidelberg), March 2011. 

Giulia Giantesio (University of Ferrara), March 2011. 

224 6 Visitors

Leonie Herden (RWTH Aachen), March 2011. 

Norihiso Ikoma (Waseda University, Tokyo), March 2011. 

Noboru Ito (Waseda University, Tokyo), March 2011. 

Hajime Koba (Waseda University, Tokyo), March 2011. 

Masahiro Kunimoto (Waseda University, Tokyo), March 2011. 

Omar Lazar (University Paris-Est Marne-la-Vallée), March 2011. 

Matthias Maier (Universität Heidelberg), March 2011. 

Ute May (RWTH Aachen), March 2011. 

Stefan Meyer (Universität Halle-Wittenberg), March 2011. 

Piotr Minakowski (University of Warsaw), March 2011. 

Atsuhiko Mizusawa (Waseda University, Tokyo), March 2011. 

Dr. Yuka Naito (Waseda University, Tokyo), March 2011. 

Takahiro Okabe (Tohoku University, Sendai), March 2011. 

Tomasz Piasecki (University of Warsaw), March 2011. 

Joanna Renclawowicz (University of Warsaw), March 2011. 

Thorsten Riedl (Universität Bayreuth), March 2011. 

Gabriela Rusnakova (Universität Mainz), March 2011. 

Konrad Simon (Weizmann Institute, Rehovot), March 2011. 

Mindaugas Skujus (Vilnius University), March 2011. 

Masahiro Suzuki (Waseda University, Tokyo), March 2011. 

Kamila Szumzilak (University of Warsaw), March 2011. 

Erika Ushikoshi (Tohoku University, Sendai), March 2011. 

Prof. Dr. Masao Yamazaki (Waseda University, Tokyo), March 2011. 

Florian Zander (Universität Kassel), March 2011. 

Prof. Dr. Asei Tezuka (Waseda University, Tokyo), March 2011. 

Prof. Dr. Lorenzo Brandolese (University of Lyon, France), April 2011. 

Dr. Philipp Reiter (Universität Freiburg), April 2011. 

Prof. Dr. Daniel Lengeler (Universität Freiburg), May 2011. 

Dr. Muriel Boulakia (Pierre-and-Marie-Curie University (Paris VI)), May 2011. 

225

Prof. Dr. Juan Carlos de los Reyes (National Technical University, Quito), May 2011. 

Norihisa Ikoma (Waseda University), May 2011. 

Prof. Dr. Mi-Ho Giga (University of Tokyo), May - June 2011. 

Prof. Dr. Yutaka Terasawa (University of Tokyo), May - June 2011. 

Prof. Dr. Anne Robertson (University of Pittsburgh), June 2011. 

Prof. Dr. Paolo Galdi (University of Pittsburgh), June - July 2011. 

Prof. Dr. Pierre-Etienne Druet (WIAS Berlin), June 2011. 

Prof. Dr. Michael Renardy (Virginia Tech), June - July 2011. 

Prof. Dr. Yutaka Terasawa (University of Tokyo), July 2011. 

Prof. Dr. Dirk Blömker (Universität Augsburg), July 2011. 

Antonio Russo (Second University of Naples), July 2011. 

Prof. Dr. Asei Tezuka (Waseda University, Tokyo), September 2011. 

Prof. Dr. Gerhard Huisken (MPI Golm), September 2011. 

Prof. Dr. Felix Otto (Universität Bonn), September 2011. 

Dr. Satoshi Yokoyama (Waseda University), September 2011. 

Prof. Dr. Dorin Bucur (University of Savoy), October 2011. 

Prof. Dr. Daoyuan Fang (Zhejiang University, Hangzhou), October - November 2011. 

Bin Han (Zhejiang University, Hangzhou), October 2011 - January 2012. 

Ruizhao Zi (Zhejiang University, Hangzhou), October 2011 - January 2012. 

Konrad Böttcher (TU Dortmund), October 2011. 

Prof. Dr. Hans Knüpfer (Universität Bonn), November 2011. 

Prof. Dr. Yutaka Terasawa (University of Tokyo), December 2011. 

Dr. Sven Groß (RWTH Aachen), December 2011. 

Prof. Dr. Wolf-Patrick Düll (Universität Stuttgart), January 2012. 

Prof. Dr. Wolfgang Dreyer (WIAS Berlin), January 2012. 

Dr. Hirofumi Notsu (Waseda University), January - February 2012. 

Mario Kaip (Universität Konstanz), January 2012. 

Tobias Nau (Universität Konstanz), January 2012. 

Masashi Ohnawa (Waseda University), February 2012. 

226 6 Visitors

Dr. Elfriede Friedmann (Universität Heidelberg), April 2012. 

Mathias Wilke (Universität Halle-Wittenberg), May 2012. 

Prof. Dr. Jörg Wolf (Universität Magdeburg), May 2012. 

Prof. Dr. Gudrun Thäter (Karlsruhe Institute of Technology (KIT)), May 2012. 

Prof. Dr. Yoshiaki Teramoto (Osaka University), June 2012, August 2012. 

Dr. Kohei Soga (Waseda University), June 2012. 

Prof. Dr. Simon Blatt (University of Warwick), June 2012. 

Hui Chen (Zhejiang University, Hangzhou), June - July 2012. 

Ruizhao Zi (Zhejiang University, Hangzhou), June - July 2012. 

Prof. Dr. Daoyuan Fang (Zhejiang University, Hangzhou), June - July 2012. 

Dr. Issei Oikawa (University of Tokyo), June 2012. 

Prof. Dr. Yukihito Suzuki (Waseda University), June 2012. 

Prof. Dr. Masahisa Tabata (Waseda University), June 2012. 

Dr. Hirofumi Notsu (Waseda University), June 2012. 

Prof. Dr. Rainald Löhner (George Mason University, Fairfax), June 2012. 

Prof. Dr. Yuri Bazilevs (University of California, San Diego), June 2012. 

Prof. Dr. Raz Kupferman (The Hebrew University, Jerusalem), June 2012. 

Prof. Dr. Arnold Reusken (RWTH Aachen), June 2012. 

Prof. Dr. Volker John (WIAS Berlin), June 2012. 

Prof. Dr. Karl Kunisch (Universität Graz, Austria), June 2012. 

Prof. Dr. Stefan Turek (TU Dortmund), June 2012. 

Prof. Dr. Michael Hinze (Universität Hamburg), June 2012. 

Prof. Dr. Hideo Kozono (Tohoku University, Sendai), July 2012. 

Prof. Dr. Okihiro Sawada (Gifu University), July 2012. 

Prof. Dr. Yoshihiro Shibata (Waseda University, Tokyo), July 2012. 

Prof. Dr. Yasunori Maekawa (Kobe University), July 2012. 

Prof. Dr. Reza Aftabizadeh (Ohio University), July 2012. 

Prof. Dr. Michael Růžička (Universität Freiburg), July 2012. 

Prof. Dr. Joachim Naumann (HU Berlin), July 2012. 

227

Prof. Dr. Uwe Thiele (Loughborough University), July 2012. 

Tristan Buckmaster (Universität Leipzig), July 2012. 

Prof. Dr. Raphael Danchin (University of Paris XII), July 2012. 

Prof. Dr. Lars Diening (LMU München), July 2012. 

Markus Klein (Universität Tübingen), July 2012. 

Prof. Dr. Luc Molinet (University of Tours), July 2012. 

Dr. Franck Sueur (Pierre-and-Marie-Curie University (Paris VI)), July 2012. 

Dr. Thomas Richter (Universität Heidelberg), July 2012. 

Prof. Dr. Edriss Titi (University of California, Irvine & Weizmann Institute), July 2012. 

Alexander Schöwe (Universität Konstanz), July 2012. 

Prof. Dr. Andreas Prohl (Universität Tübingen), July 2012. 

Dr. Elfriede Friedmann (Universität Heidelberg), July 2012. 

Prof. Dr. Sylvie Monniaux (Paul Cézanne University Aix-Marseille III), July 2012. 

Prof. Dr. Slim Ibrahim (University of Victoria), July, 2012. 

Prof. Dr. Nader Masmoudi (Courant Institute), July, 2012. 

Prof. Dr. Thomas Wick (Universität Heidelberg), July 2012. 

Florian Zanger (Universität Kassel), July, 2012. 

Prof. Dr. László Szekélyidi (Universität Leipzig), July 2012. 

PD Dr. Peer Kunstmann (Karlsruhe Institute of Technology (KIT)), July 2012. 

Stefan Meyer (Universität Halle-Wittenberg), July 2012. 

Prof. Dr. Werner Varnhorn (Universität Kassel), July 2012. 

Prof. Dr. Jan Prüss (Universität Halle-Wittenberg), July 2012. 

Matthias Eisenmann (TU Berlin), July 2012. 

Mathias Wilke (Universität Halle-Wittenberg), July 2012. 

Prof. Dr. Anna Mazzucato (Penn State University), July 2012. 

Prof. Dr. Sarka Nečasová (Czech Academy of Sciences, Prague), July 2012. 

Prof. Dr. Eduard Feireisl (Czech Academy of Sciences, Prague), July 2012. 

Prof. Dr. Hans Knüpfer (Universität Bonn), July 2012. 

Prof. Dr. Masahiro Kunimoto (Waseda University), August 2012. 

228 6 Visitors

Prof. Dr. Yoshiaki Teramoto (Osaka University), August – September 2012. 

Dr. Martin Meyries (Universität Halle-Wittenberg), October 2012. 

Prof. Dr. Isabelle Gallagher (University of Paris Diderot (Paris VII)), November 2012. 

Dr. Bogdan-Vasile Matioc (Universität Wien), December 2012. 

Prof. Dr. Rolf Gohm (Aberystwyth University), August/September 2011. 

Prof. Dr. Gabriel Wittum (Universität Frankfurt), June 2011. 

Jun.-Prof. Dr. Roland Pulch (Universität Wuppertal), April-October 2011. 

Dr. Nilles (BASF Ludwigshafen), October 2011. 

Prof. Dr. Rüdiger Weiner (Universität Halle-Wittenberg), February 2012. 

Dr. Oswald Knoth (Leibnitz Institute for Tropospheric Research Leipzig), February 2012. 

Prof. Dr. Willem Hundsdorfer (CWI Amsterdam), June 2012. 

Prof. Dr. Martin Gander (University of Geneva), October 2012. 

Hadrien Batmalle (ENS Cachan), May to August 2012. 

Prof. Dr. Jean-Yves Beziau (Federal University of Rio de Janeiro), January 2012. 

Prof. Dr. Vasco Brattka (University of Cape Town), July 2011. 

Prof. Dr. Vasco Brattka (Universität der Bundeswehr München), October 2012. 

Shiguang Feng (Sun Yat-sen University Guangzhou), November 2011. 

Makoto Fujiwara (Tohoku University), September 2012 to March 2013. 

Dr. David Janin (University Bordeaux I), October 2012. 

Dr. Akitoshi Kawamura (University of Tokyo), July to September 2011. 

Atefeh Keshavarzi Zafarghandi (Amirkabir University of Technology), June to August 2012. 

Muhammad Aqeel Ahmad Khan (University of Bahawalpur), April to September 2012. 

Takayuki Kihara (Tohoku University), October 2011. 

Dr. Takayuki Kihara (Japan Advanced Institute of Sciences and Technology), June 2012. 

Dr. Tomer Kotek (University of Haifa), December 2012. 

Prof. Dr. Stephan Kreutzer (HU Berlin), May 2011. 

Prof. Dr. Hans-Peter Künzi (University of Cape Town), July 2012. 

Prof. Dr. Jimmie Lawson (Louisiana State University), November 2011 and October 2012. 

PD Dr. Laurentiu Leustean (Simion Stoilow Institute of Mathematics of the Romanian Academy), 

November 2012. 

229

Dr. Martin Lotz (University of Edinburgh), May 2011. 

Yoshihiro Maruyama (Oxford University), January 2012. 

Samuele Maschio (University of Pavia), February to July 2012. 

Prof. Dr. Benjamin Miller (Universität Münster), July 2012. 

Dr. Rasmus Møgelberg (ITU Copenhagen), November 2012. 

Prof. Dr. Takakazu Mori (University of Kyoto), April to September 2012. 

Dr. Andrey Morozov (Sobolev Institute of Mathematics), May 2012. 

Prof. Dr. André Nies (University of Auckland), June 2012. 

Prof. Dr. Damian Niwinski (University of Warsaw), May 2011. 

Dr. Anvar Nurakunov (Kyrgyz Academy of Sciences), June 2012. 

Dr. Paulo Oliva (Queen Mary University of London), December 2011. 

Hiroyuki Ota (University of Tokyo), August 2012. 

Arno Pauly (University of Cambridge), September 2012. 

Kostas Poulios (University of Athens), March 2012. 

Victor Poupet (Aix-Marseille University), July 2011. 

Colin Riba (ENS Lyon), June 2012. 

Prof. Dr. Sam Sanders (Ghent University), January 2012. 

Prof. Dr. Marina Semenova (Sobolev Institute of Mathematics), March and April 2011. 

Hideki Tsuiki (University of Kyoto), October 2011. 

Brandon Dutra (University of California, Davis), March 27–April 1, 2011. 

Pascal Benchimol (École Polytechnique), November 2011. 

Dr. Benjamin Burton (University of Queensland, Brisbane), May 7–11, 2012. 

Dr. Jonathan Spreer (University of Queensland, Brisbane), May 7–11, 2012. 

William Patterson (University of Queensland, Brisbane), May 7–11, 2012. 

Prof. Dr. Stephan Tillmann (University of Sydney), May 7–11, 2012. 

Prof. Dr. Benjamin Nill (Case Western Reserve University, Cleveland), August 13–16, 2012. 

Prof. Dr. Christian Haase (Universität Frankfurt), December 10–14, 2012. 

Prof. Francisco Santos (University of Santander), December 10–14, 2012. 

Dr. Domenico Salvagnin (University of Padova), June 5–6, 2012. 

230 6 Visitors

Prof. Dr. Vladimir S. Rabinovich (IPN Mexico City), March to April 2011. 

Prof. Dr. Robert Denk (Universität Konstanz), May 2011. 

Dr. Tobias Nau (Universität Konstanz), May 2011. 

Prof. Dr. Yoshikazu Giga (University of Tokyo), June 2011. 

Prof. Dr. Robert Denk (Universität Konstanz), December 2012. 

Dr. Nora Ganter (University of Melbourne), July 2011 and August 2012. 

Prof. Dr. Gerald Höhn (HIM Bonn), December 2012. 

Prof. Dr. Tomoyuki Arakawa (RIMS Kyoto), December 2012. 

Prof. Dr. Matthias Heinkenschloss (Rice University of Houston), June 2011, July 2012. 

Prof. Dr. Bülent Karasözen (METU Ankara), July 2011, July 2012. 

Prof. Dr. Dirk Pauly (Universität Duisburg-Essen), December 3–9, 2012. 

6.4 Workshops and Conferences 

– Workshop on modeling, optimization and simulation of complex fluid flow, 20.- 

22.06.12 (organized by Graduate School of Computational Engineering TU Darmstadt) 

– Workshop about initial differentiation in math lessons (inservice-teacher-education 

for teacher-educators, Frankfurt), 24.01.2011 (organized by Regina Bruder) 

– Workshops about initial differentiation in math lessons (inservice-teacher-education), 

for teacher-educators, Soest, founded by the Deutsche Telekom-Stiftung (project: 

teaching mathematics in a different way), 15.-16.02.2011 (organized by Regina 

Bruder) 


for teacher-educators, Bünden (Herford), founded by the Deutsche Telekom-Stiftung 

(project: teaching mathematics in a different way), 16.03.2011 (organized by Regina 

Bruder) 


for teacher-educators, Münster, founded by the Deutsche Telekom-Stiftung (project: 

teaching mathematics in a different way), 23.03.2011 (organized by Regina Bruder) 

– Startup-workshop for our 5-half-year online-teacher-training courses at Darmstadt, 

March 2011 (organized by Regina Bruder and Axel Böhnke) 


for teacher-educators, Gütersloh, founded by the Deutsche Telekom-Stiftung (project: 

teaching mathematics in a different way), 25.05.2011 (organized by Regina Bruder) 

6.4 Workshops and Conferences 231

– Workshop in Graz, Austria about the development of math competencies (inserviceteacher-education 

for teacher-educators), 26.09.2011 (organized by Regina Bruder) 


September 2011 (organized by Regina Bruder and Axel Böhnke) 

– Workshop in Eisenstadt, Austria (inservice-teacher-education), 27.02.2012 (organized 

by Regina Bruder) 


March 2012 (organized by Regina Bruder and Axel Böhnke) 


September 2012 (organized by Regina Bruder and Axel Böhnke) 

– Workshop in Linz, Austria (inservice-teacher-education), 26.-27.11.2012 (organized 

by Regina Bruder) 

– Student Conference on Automorphic Forms, October 13-14, 2011 (organized by Claudia 

Alfes, Jan Hendrik Bruinier and Stephan Ehlen) 

– International Conference: Vorticity, Rotation and Symmetry (II) - Regularity of Fluid 

Motion, May 23 to 27, 2011 (organized by Reinhard Farwig, Jiri Neustupa and Patrick 

Penel) 

– Turbulence and Reactive Flows, GAMM Annual Meeting 2012, March 26 to 30, 2012 

(organized by Reinhard Farwig, Stefan Braun) 

– International Conference: Parabolic and Navier-Stokes Equations, September 02 to 

08, 2012 (organized by Reinhard Farwig, Wojciech Zajaczkowski, Jiri Neustupa, 

Yoshihiro Shibata, Joanna Renclawowicz, Piotr Mucha) 


November 05 to 08, 2012 (organized by Reinhard Farwig, Matthias Hieber, Hideo 

Kozono, Yoshihiro Shibata) 

– International Project Meeting Multiscale structure-functional modeling of musculoskeletal 

mineralized tissues, TU Darmstadt, 10.-12.01.11 (organized by Alf Gerisch) 

– Gruppen-Seminar, 18.03.11 (organized by Ralf Gramlich) 

– Young Set Theory Workshop, March 21st to 25th, 2011 (organized by Andrew 

Brooke-Taylor, Benjamin Seyfferth, Ioanna Dimitriou, Miguel Angel Mota, Philipp 

Schlicht and Thilo Weinert) 

– Young Set Theory Workshop, April 30th to May 4th, 2012 (organized by Julien 

Melleray, Lionel Nguyen Van Thé, Todor Tsankov and Matteo Viale) 

– Workshop Trends in Set Theory, July 8th to 11th, 2012 (organized by Piotr Koszmider, 

Janusz Pawlikowski, Grzegorz Plebanek, Marcin Sabok and Slawek Solecki) 

– 6th European Congress of Mathematics, July 2nd to 7th, 2012 (organized by the 

Polish Mathematical Society and the Jagiellonian University in Krakow, chaired by 

Prof. Stefan Jackowski.) 

232 6 Visitors

– Spring School IRTG 1529, February 28 to March 3, 2011 (organized by International 

Research Training Group 1529) 

– Special Lectures by Giovanni P. Galdi University of Pittsburgh, June 7 to July 4, 2011 

(organized by International Research Training Group 1529) 

– Klausurtagung IRTG 1529, July 4 to 5, 2011 (organized by International Research 

Training Group 1529) 

– Summer Courses on Mathematical Fluid Dynamics, July 6 - 8, 2011 (organized by 

International Research Training Group 1529) 

– Summer School IRTG 1529, September 12 - 16, 2011 (organized by International 

Research Training Group 1529, jointly with Universität Hannover) 


November 28 - December 2, 2011 (organized by International Research Training 

Group 1529, jointly with Waseda University, Tokyo) 

– German-Japanese Mini-Workshop on Fluid Dynamics, January 31, 2012 (organized 

by International Research Training Group 1529) 

– The 5th Japanese-German International Workshop on Mathematical Fluid Dynamics, 

June 11 - 15, 2012 (organized by International Research Training Group 1529, jointly 

with Waseda University, Tokyo ) 

– Conference on Complex Fluids, July 10 - 13, 2012 (organized by International Research 

Training Group 1529, jointly with M. Geissert, E. Titi) 

– The 7th Japanese-German International Workshop on Mathematical Fluid Dynamics, 

November 5 - 8, 2012 (organized by International Research Training Group 1529, 

Waseda University, Tokyo ) 

– Klausurtagung IRTG 1529, November 29 - 30, 2012 (organized by International Research 

Training Group 1529) 

– Third Summer Workshop on Algebraic Geometry, Universität Tübingen, July 21 to 22, 

2011 (organized by Jürgen Hausen) 

– Workshop Extremal Laurant Polynomials and Fano Varieties, FU Berlin, December 14 

to 16, 2011 (organized by Klaus Altmann and Elena Martinengo) 

– Ergodische Eigenschaften von Quanten-Geburts-und-Todes-Prozessen, February 22 to 

25, 2011 (organized by Burkhard Kümmerer) 

– Endlich-korrelierte Zustände und deren Verschränkung, March 05 to 07, 2012 (organized 

by Burkhard Kümmerer) 

– Workshop on Mathematics of Computation, Feb 3, 2012 (organized by Jens Lang and 

Stefan Ulbrich) 

– 2nd International Conference on Computational Engineering, Oct 4-6, 2011 (organized 

by Marek Behr, Jens Lang, Ernst Rank, Michael Schäfer) 

6.4 Workshops and Conferences 233

– SCIP Workshop 2012, October 8 to 10, 2012 (organized by Sonja Mars and Marc 

Pfetsch) 

– 1st polymake Workshop, March 31 and April 1, 2011 (organized by Katrin Herr, Sven 

Herrmann, Silke Horn, Michael Joswig, Katja Kulas, Benjamin Lorenz, and Andreas 

Paffenholz) 

– 3rd polymake Workshop, March 22 and 23, 2012 (organized by Benjamin Assarf, 

Katrin Herr, Michael Joswig, Benjamin Lorenz, and Andreas Paffenholz) 

– Zsigmondy Colloquium, March 5 to 7, 2012 (organized by Elmar Bonnacurso, 

Valentina Marcon, Jürgen Saal) 

– SIAM Conference on Optimization 2011, May 16–19, 2011 (organized by Conference 

Co-Chairs: Michael Ferris, University of Wisconsin, USA, Stephen Vavasis, University 

of Waterloo, Canada; Local Chair: Stefan Ulbrich, TU Darmstadt) 

– Workshop on modeling, optimization and simulation of complex fluid flow, June 20– 

22, 2012 (organized by Dieter Bothe, Michael Schäfer, Stefan Ulbrich, TU Darmstadt 

and by Mária Luká˘cová, Universität Mainz) 

– 64. Workshop über Algorithmen und Komplexität, Oct 4 to 5, 2012 (organized by 

Ulrike Brandt and Martin Ziegler) 

6.5 Scientific and Industrial Cooperations 


– B. Markert (Universität Stuttgart), R. Müller (TU Kaiserslautern): Analytical and numerical 

comparison of a hybrid phase field model for phase transitions and damage 

with the Allen-Cahn model. 

– A. Böttcher (TU Darmstadt): Solution of the hybrid phase field model with finite 

elements. 

– Peicheng Zhu (Basque center of applied mathematics, Bilbao): Existence theory for 

phase field models. 


– Prof. Dr. E. Khruslov (ILTPE of NASU): Project PICS of CNRS, Mathematical Physicsmethods 

and applications (France-Ukraine, 2009-2011). 

Volker Betz 

– Dr. Daniel Ueltschi (University of Warwick): Spatial random permutations and Bose- 

Einstein condensation. 

– Prof. Dr. George Hagedorn (Virginia Tech): Nonadiabatic Transition through Born- 

Oppenheimer surfaces. 

234 6 Visitors

– Prof. Dr. Tadahisa Funaki (University of Tokyo): Interacting Brownian motions and 

motion by mean curvature. 

– Prof. Dr. Erwin Bolthausen (Universität Zürich): Enhanced binding via path integrals. 

Dieter Bothe 

– Prof. Dr. Wolfgang Dreyer (Weierstrass-Institut für Angewandte Analysis und 

Stochastik, Leibniz-Institut im Forschungsverbund Berlin e. V.): Continuum thermodynamics 

of chemical reacting fluid mixtures. 

– Prof. Dr. Reinhard Miller (Max-Planck-Institut für Kolloid- und Grenzflächenforschung): 

Experimental and computational Analysis of fluidic interfaces influenced 

by soluble surfactant. 

– Prof. Dr. Michel Pierre (ENS Cachan, Antenne de Bretagne): Analysis of reactiondiffusion 

systems. 

– Prof. Dr. Jan Prüss (Universität Halle-Wittenberg): Analysis of Navier-Stokes equations 

for non-standard boundary conditions. 

– Prof. Dr. Anne-Marie Robertson (University of Pittsburgh): Dynamics of buoyant oil 

droplets. 

– Prof. Dr. Michael Schlüter (Institut für Mehrphasenströmung TU Hamburg-Harburg): 

Increasing the energy efficiency and reduction of greenhouse emissions via multiscale 

modeling of multiphase reactors – "Multi-Phase". 

– Prof. Dr. Martin Sommerfeld (Universität Halle-Wittenberg): Direct Numerical Simulations 

and Computational analysis of binary droplet collisions for complex fluids. 

– Prof. Dr. H.-J. Warnecke (Universität Paderborn): Mass transfer from rising gas 

bubbles. 

– Prof. Dr. Bernhard Weigand (Universität Stuttgart): Theoretical and numerical investigation 

of reactive mass transfer at rising gas bubbles. 

Stefanie Bott 

– Graduate School GSC 233: “Computational Engineering”. German Excellence Initiative. 

Speaker Prof. Dr. Michael Schäfer (Department of Mechanical Engineering, TU 

Darmstadt). 

Christian Brandenburg 

– International Research Training Group (IGK 1529): “Mathematical Fluid Dynamics”. 

Speaker Prof. Dr. Matthias Hieber (TU Darmstadt). 

Regina Bruder 

– Texas Instruments, Mr. Stephan Griebel: Evaluation of model-projects in Hessen, 

Niedersachsen, Rheinland-Pfalz and scientific coaching in Hamburg and Schleswig- 

Holstein (issue: computerbased learning Mathematics).. 

6.5 Scientific and Industrial Cooperations 235

– Ministry of Education Hessen, Rheinland-Pfalz, Niedersachsen and Hamburg: Development 

of concepts for further teacher training. 

– IGD Darmstadt, Dr. Göbel: Quality of game-based learning. 

– PH Freiburg, Prof. Dr. Timo Leuders, Prof. Dr. Markus Wirtz: Research project for 

diagnostic of competencies (modeling, problem solving). 

– ion2s, Agency for Interaction Darmstadt, Mr. Sauer: Third party certification of quality 

of E-Learning- Environments. 

– Universität Kassel, Prof. Dr. Rolf Biehler: (Department of Mathematics) Development 

of bridge courses in Mathematics. 

– University of Melbourn, Prof. Dr. Kaye Stacey: Development of instruments for 

evaluation of learning-results in math-lessons. 

– Universität Graz, Dr. Alexandra Sindler: Development of quality of E-Learning on 

both universities (book-project). 

– Institut für Qualitätsentwicklung im Bildungswesen, Berlin, Dr. Claudia Pöhlmann: 

Begleitforschung zur Implementation der Bildungsstandards. 

– Department of Teacher Education (Amt für Lehrerbildung) Hessen, Frankfurt, Mr. 

Maitzen: Steuerungsgruppe zur Implementation der Bildungsstandards in Mathematik 

für das Land Hessen. 

– University of Technology, Sydney, Prof. Dr. Anne Prescott: Development of competencies 

in the inservice training of Math-teachers and measurement of competencies. 

– Prof. Dr. Gilbert Greefrath (Universität Münster) and Prof. Dr. Guido Pinkernell 

(Pädagogische Hochschule Heidelberg): Definition of basic knowledge on secondary 

level. 


– Prof. Dr. K. Ono (Emory University): Harmonic weak Maass forms. 

– Prof. Dr. B. Howard (Boston College) and Prof. Dr. T. Yang (University of Wisconsin 

at Madison): Arithmetic intersection theory on Shimura varieties. 

– Prof. Dr. J. Funke (University of Durham) and Prof. Dr. O. Imamoglu (ETH Zürich): 

Regularized theta liftings and periods of modular functions. 

– Prof. Dr. E. Freitag (Universität Heidelberg): Automorphic products. 

– Prof. Dr. S. Kudla (University of Toronto): Regularized theta liftings for symplectic 

groups. 

Debora Clever 

– Stefanie Bott, Prof. Dr. Stefan Ulbrich, Dr. Carsten Ziems (TU Darmstadt): Adaptive 

multilevel SQP-methods for PDAE-constrained optimization with restrictions on 

control and state. Supported by DFG, SPP 1253. 

236 6 Visitors

Moritz Egert 

– Prof. Dr. F. Neubrander (Louisiana State University), J. Rozendaal (Delft University 

of Technology): Semigroup approximation without scaling and squaring. 

Herbert Egger 

– Prof. S. Arridge, PhD (University College London): Numerical Methods for Optical 

Tomography. 

– Prof. Dr. A. Chernov (Universität Bonn): Stability estimates for the Raviart-Thomas 

projector. 

– Prof. Dr. A. Düster (TU Hamburg-Harburg): Domain-decomposition preconditioners 

for the Finite-Cell Method. 

– Prof. Dr. P. Egger (ETH Zürich): Unique Solutions for Prices in Dixit-Stiglitz and 

Eaton-Kortum Models of Trade. 

– Dr. C. Waluga (TU München): Hybrid DG Methods for Incompressible Flow. 

– Prof. Dr. B. Wohlmuth (TU München), Prof. Dr. U. Rüde (Universität Erlangen- 

Nürnberg): Finite Element Methods for Corner Singularities. 

Sarah Essert 



Darmstadt). 


– Prof. Dr. Y. Taniuchi (Shinshu University Matsumoto): Problems on Uniqueness and 

Energy for Navier-Stokes Solutions. 

– Prof. Dr. T. Hishida (Nagoya Univeristy): Asymptotic Theory for Navier-Stokes Equations. 

– Prof. Dr. M. Yamazaki (Waseda University, Tokyo): Concentration-Diffusion Phenomena 

for Equations of Fluid Dynamics. 

– Prof. Dr. H. Kozono (Waseda University, Tokyo): Theory of Weak, Very Weak and 

Strong Solutions to the Navier-Stokes System. 

– Prof. Dr. S. Necasova (Academy of Sciences, Prague): Fluid Flow past Rotating 

Obstacles. 

– Prof. Dr. J. Neustupa (Academy of Sciences, Prague): Regularity and Spectral Theory 

for Solutions to the Navier-Stokes System. 

– Prof. Dr. W. Varnhorn (Universität Kassel): Regularity Theory for Weak Solutions to 

the Navier-Stokes System. 


– Prof. Dr. H. Sohr (Universität Paderborn): Regularity Theory for Weak and Very Weak 

Solutions to the Navier-Stokes System. 

Tobias Fischer 



Darmstadt). 

Walter Freyn 

– Prof. Dr. L. Carbone (Rutgers, the State University of New Jersey): Geometry of 

hyperbolic Kac-Moody algebras. 

– Prof. Dr. H. Sati (University of Pittsburgh): Hyperbolic Kac-Moody algebras in M- 

theory. 

– Prof. Dr. A. Feingold (Binghamton University): Geometry of Hyperbolic Kac-Moody 

algebras. 

– Prof. Dr. C. Consani (Johns Hopkins University, Baltimore): Absolute algebraic geometry, 

Geometry over 1 . 

– Prof. Dr. E. Heintze (Universität Augsburg): Affine Kac-Moody geometry. 

– Prof. Dr. P.-E. Caprace (UCL, Louvain-la-Neuve): Structure theory of hyperbolic Kac- 

Moody algebras. 

– Prof. Dr. R. Köhl (Universität Gießen): Towards an algebraic theory of Kac-Moody 

symmetric spaces. 


– Prof. Dr. Y. Shibata (Waseda University, Tokyo): Global L p solutions for Oldroyd-B 

models. 

– PD Dr. P. Kunstmann (Karlsruhe Institute of Technology (KIT)): On H ∞ calculus of 

the Stokes operator. 

Alf Gerisch 

– Prof. Dr. K. Raum (Charité Universitätsmedizin Berlin) and Prof. Dr. Q. Grimal 

(Pierre-and-Marie-Curie University (Paris VI), France): Multiscale structurefunctional 

modeling of musculoskeletal mineralized tissues. 

– Prof. Dr. M. Chaplain (University of Dundee, Scotland): Mathematical modeling and 

simulation of cancer invasion. 

– Prof. Dr. J. Lang (TU Darmstadt), Prof. Dr. R. Weiner, and Dr. H. Podhaisky (Universität 

Halle-Wittenberg): PEER methods and their application in the Finite Element 

system KARDOS. 

238 6 Visitors

– Prof. Dr. L. Geris (University of Liége, Belgium): Modeling and simulation of fracture 

healing and angiogenesis and in tissue engineering. 




Darmstadt). 

Thea Göllner 

– Collaborative Research Centre (SFB) 666: “Integral sheet metal design with higher 

order bifurcations – development, production, evaluation”. Speaker Prof. Dr.-Ing. 

Peter Groche (Department of Mechanical Engineering, TU Darmstadt). 


– Prof. Dr. Reiner Lauterbach (Universität Hamburg): Working group Dynamical Systems. 

Karsten Grosse-Brauckmann 

– Prof. Dr. John Sullivan (TU Berlin): Constant mean curvature surfaces. 

– Dr. Gerd Schröder-Turk (Universität Erlangen-Nürnberg): Interfaces. 

– Prof. Dr. Robert Kusner (University of Massachusetts in Amherst): Constant mean 

curvature surfaces. 

– Prof. Dr. Valerio Batista (UFedABC Sao Paulo): Isoperimetric problems. 

Kai Habermehl 

– Collaborative Research Center (SFB) 805: “Control of Uncertainty of load carrying 

structures in mechanical engineering”. Speaker Prof. Dr.-Ing. Holger Hanselka (Department 

of Mechanical Engineering). 

Robert Haller-Dintelmann 

– Joachim Rehberg (Weierstraß-Institut für Angewandte Analysis und Stochastik 

(WIAS), Berlin): Elliptic and parabolic regularity for divergence operators in nonsmooth 

situations. 

– Pascal Auscher (University of Paris-Sud (Paris XI)), Nadine Badr (University Lyon I), 

Joachim Rehberg (Weierstraß-Institut für Angewandte Analysis und Stochastik 

(WIAS), Berlin): The square root problem for second order, divergence form operators 

with mixed boundary conditions on L p . 

– Joachim Rehberg and Hans-Christoph Kaiser (Weierstraß-Institut für Angewandte 

Analysis und Stochastik (WIAS), Berlin), Günter M. Ziegler (FU Berlin): Optimal 

elliptic Sobolev regularity near three-dimensional multi-material Neumann vertices. 


– Alf Jonsson (Umeå University), Dorothee Knees and Joachim Rehberg (Weierstraß- 

Institut für Angewandte Analysis und Stochastik (WIAS), Berlin): Elliptic and 

parabolic regularity for mixed boundary value problems. 

– Felix Ali Mehmeti and Virginie Régnier (University of Valenciennes and Hainaut- 

Cambresis): Dispersive waves with multiple tunnel effect on a star-shaped network. 


– Prof. Dr. G. P. Galdi (University of Pittsburgh): Analysis of Fluid-Solid-Interactions. 

– Prof. Dr. D. Fang (Zhejiang University Hangzhou): Analysis of Partial Differential 

Equations and Applications. 

– Prof. Dr. C. Tropea (TU Darmstadt): Center of Smart Interfaces. 

– Prof. Dr. Y. Shibata (Waseda University): Complex Fluids. 

– Prof. Dr. Y. Giga (University of Tokyo): The Stokes and Navier-Stokes Equation in 

Spaces of Bounded Functions. 

– Prof. Dr. J. Prüss (Universität Halle-Wittenberg): Dynamics of Liquid Crystal Flows. 

– Prof. Dr. R. Denk und Prof. Dr. R. Racke (Universität Konstanz): Spin Coating. 

– Prof. Dr. S. Monniaux (Paul Cézanne University Aix-Marseille III): Stokes equations 

on Lipschitz domains. 


– Tulane University New Orleans, LA, USA: Graduate Student Exchange Treaty between 

Tulane and TU Darmstadt. 

Priska Jahnke 

– PD Dr. Ivo Radloff (Universität Tübingen): Semistability of restricted tangent bundles 

and a question of I. Biswas. 

– Prof. Dr. Thomas Peternell (Universität Bayreuth): Threefolds with big and nef 

anticanonical bundles II. 

Imke Joormann 

– Group of Dr. René Henrion, Weierstraß-Institut für Angewandte Analysis und 

Stochastik (WIAS), Berlin: Gas Transport Optimization. 

– Group of Dr. Thorsten Koch (Zuse-Institut Berlin): Gas Transport Optimization. 

– Group of Prof. Dr. Alexander Martin (Universität Erlangen-Nürnberg): Gas Transport 

Optimization. 

– Group of Prof. Dr. Werner Römisch (HU Berlin): Gas Transport Optimization. 

240 6 Visitors

– Group of Prof. Dr. Rüdiger Schultz (Universität Duisburg-Essen): Gas Transport Optimization. 

– Group of Prof. Dr. Marc Steinbach (Universität Hannover): Gas Transport Optimization. 

– German Federal Network Agency (Bundesnetzagentur): Project “Technical Capacities 

of Gas Networks”. 

– Open Grid Europe GmbH, formerly E.ON Gastransport GmbH: Project FORNE. 


– Dr. Richard Bödi (ZHAW): Symmetric integer linear programs. 

– Dr. Benjamin Burton (University of Queensland, Brisbane): “Algorithmic Methods 

in Combinatorial Topology”, Go8 Australia-Germany Joint Research Co-operation 

Scheme 2012/13 (German Academic Exchange Service). 

– Prof. Dr. Wolfram Decker (TU Kaiserslautern): Mathematical software. 

– Dr. Anton Dochtermann (Stanford University): Tropical convexity. 

– Ewgenij Gawrilow (TomTom N.V.): Mathematical software. 

– Prof. Dr. Stéphane Gaubert (École Polytechnique): Tropical convexity. 

– Dr. Thilo Rörig (TU Berlin): Mathematical visualization. 

– Prof. Dr. Raman Sanyal (FU Berlin): Tropical convexity. 

– Prof. Dr. Bernd Sturmfels (University of California, Berkeley): Tropical geometry. 

– Prof. Dr. Thorsten Theobald (Universität Frankfurt): Algorithmic geometry. 

– Dr. Stephan Tillmann (University of Sydney): “Algorithmic Methods in Combinatorial 

Topology”, Go8 Australia-Germany Joint Research Co-operation Scheme 2012/13 

(German Academic Exchange Service). 

– Prof. Dr. Günter M. Ziegler (FU Berlin): Polytope theory. 

– Priority Program 1489 (German Research Foundation): “Algorithmic and Experimental 

Methods in Geometry, Algebra, and Number Theory”, Speaker Prof. Dr. Wolfram 

Decker (TU Kaiserslautern). 


– Dr. Laurentiu Leustean (Romanian Academy): Proof Mining in Nonlinear Analysis. 

– Prof. Dr. Jeremy Avigad (CMU): Metastability and fluctuation bounds in ergodic 

theory. 



– Prof. Dr. Luc Devroye (McGill University Montreal): Estimation of a density using 

real and artificial data. 

– Prof. Dr. Augustin Kelava (TU Darmstadt, Institut für Psychologie): Nonparametric 

estimation of a latent variable model. 

– Prof. Dr. Adam Krzyżak (Concordia University Montreal): Adaptive density estimation 

based on real and artificial data. 

– Prof. Dr. Harro Walk (Universität Stuttgart): Weakly universally consistent static 

forecasting of stationary and ergodic time series via local averaging and least squares 

estimates. 

– SFB 666 (TU Darmstadt): Efficient estimation of fatigue parameters. 

– SFB 805 (TU Darmstadt): Estimation of a density in a simulation model. 

Oliver Kolb 

– Prof. Dr. Kathrin Klamroth (Universität Wuppertal), Prof. Dr. Jens Lang (TU Darmstadt), 

Prof. Dr. Günter Leugering (Universität Erlangen-Nürnberg), Prof. Dr. 

Alexander Martin (Universität Erlangen-Nürnberg), Prof. Dr. Martin Oberlack (TU 

Darmstadt), Prof. Dr. Manfred Ostrowski (TU Darmstadt), Hessenwasser GmbH & 

Co. KG, Siemens AG: Diskret-kontinuierliche Optimierung komplexer dynamischer 

Wasserver- und -entsorgungssysteme. Supported by BMBF, 2007-2010. 

Daniela Koller 


order bifurcations - development, production, evaluation”. Speaker Prof. Dr.-Ing. 


Jens Lang 

– Prof. Dr. Jan Verwer (University of Amsterdam and CWI): W-Methods for optimal 

control. 

– Prof. Dr. Weizhang Huang (University of Kansas): Anisotropic mesh methods. 

– Jun.-Prof. Dr. Oliver Kolb (Universität Mannheim): Simulation and optimization of 

gas and water networks. 

– Prof. Dr. Malte Braack (Universität Kiel): Stabilized finite elements for transient flow 

problems. 

– Prof. Dr. Rüdiger Weiner (Universität Halle-Wittenberg): Linearly implicit time integrators. 

– Bodo Erdmann (ZIB): Kardos programming. 

– Prof. Dr. Günter Leugering, Prof. Dr. A. Martin (Universität Erlangen-Nürnberg): 

Modelling, Analysis, Simulation and Optimal Control of Gas Transport in Networked 

Pipelines. Supported by DFG, 2007-2011. 

242 6 Visitors

– SFB 568: “Flow and Combustion in Future Gas Turbines”. Speaker Prof. Dr.-Ing. Johannes 

Janicka (Department of Mechanical Engineering, TU Darmstadt). Supported 

by DFG, 2007-2011. 

– GK 1344: “Instationary System Modelling of Aircraft Turbines”, Speaker Prof. Dr.- 

Ing. Johannes Janicka (Department of Mechanical Engineering, TU Darmstadt). 

Supported by DFG, 2006-2014. 

– SPP 1253: Optimization with PDEs. Supported by DFG, 2009-2012, jointly with Prof. 

Dr. Stefan Ulbrich (TU Darmstadt). 

– Prof. Dr. Jochen Fröhlich (TU Dresden): Large Eddy Simulation with Adaptive Moving 

Meshes, Supported by DFG, Metstroem, 2007-2013. 

– Dr. Nilles, BASF: Numerical Simulation, Modelling and Optimization of Multi-Phase 

and Multi-Scale Combustion Processes. 

Andrew Linshaw 

– Dr. Thomas Creutzig (TU Darmstadt): Vertex algebras. 

– Prof. Dr. Bailin Song (University of Science and Technology of China): Invariant 

theory, geometry of jet schemes and arc spaces. 

– Prof. Dr. Gerald Schwarz (Brandeis University): Invariant theory, geometry of jet 

schemes and arc spaces. 

Ulf Lorenz 

– Prof. Dr.-Ing. Peter Pelz (TU Darmstadt): System optimization of the heating plant in 

the Darmstadtium. 

– VDMA, KSB: System optimization of the heating plant in the Darmstadtium. 

– Prof. Dr. Marco Platzner (Universität Paderborn): Computer Go. 

– Prof. Dr. Alexander Martin (Universität Erlangen-Nürnberg): Quantified Linear Programs. 



of Mechanical Engineering, TU Darmstadt). 

– German Research Foundation (DFG): Erweiterung mathematischer Optimierungsmethoden 

zur Lösung PSPACE-vollständiger Probleme mit Hilfe quantifizierter linearer 

Programme. 

– Microsoft: PhD Sponsorship within the Microsoft Research PhD Scholarship program. 

Hendrik Lüthen 


order bifurcations - development, production, evaluation”. Speaker Prof. Dr.-Ing. 



Sonja Mars 

– Prof. Dr. Alexander Martin (Universität Erlangen-Nürnberg): Solving mixed-integer 

semidefinite programs. 

– Dr. Lars Schewe (Universität Erlangen-Nürnberg): Truss Topology Design and MIS- 

DPs. 




Hannes Meinlschmidt 

– Prof. Dr. Christian Meyer (TU Dortmund): Optimal control of the thermistor problem. 

– Dr. Joachim Rehberg (WIAS Berlin): Optimal control of the thermistor problem. 

Martin Otto 

– Prof. Dr. Georg Gottlob (University of Oxford) and Dr. Vince Barany: Finite controllability 

and finite model properties of guarded logics. 

– Dr. Balder ten Cate (UC Santa Cruz) and Dr. Vince Barany: Finite and algorithmic 

model theory of guarded logics. 

– Dr. Mark Weyer and Achim Blumensath: Boundedness problems. 

– Prof. Dr. Anuj Dawar (Cambridge University): Finite and algorithmic model theory. 

– Prof. Dr. Martin Grohe (HU Berlin, now RWTH Aachen): Linear programming, 

Ehrenfeucht–Fraïssé games and graph isomorphism. 


– PD Dr. Barbara Baumeister (Universität Bielefeld): Permutation Polytopes of Abelian 

Groups. 

– Dr. Benjamin Burton (University of Queensland, Brisbane): “Algorithmic Methods 

in Combinatorial Topology”, Go8 Australia-Germany Joint Research Co-operation 

Scheme 2012/13 (German Academic Exchange Service). 

– Sandra Di Rocco (KTH Stockholm): Polyhedral Adjunction Theory. 

– Prof. Dr. Christian Haase (Universität Frankfurt): Permutation, Cut, and Marginal 

Polytopes; Polyhedral Adjunction Theory; Unimodular Triangulations. 

– PD Dr. Carsten Lange (Pierre-and-Marie-Curie University (Paris VI)): Minkowski Decompositions 

of Generalized Permutahedra. 

– Prof. Dr. Benjamin Nill (Case Western Reserve University, Cleveland): Permutation, 

Cut, and Marginal Polytopes; Polyhedral Adjunction Theory. 

244 6 Visitors

– Prof. Lindsay Piechnik (Duke University): Unimodular Triangulations. 

– Prof. Francisco Santos (University of Santander): Unimodular Triangulations. 

– Prof. Dr. Stephan Tillmann (University of Sydney): “Algorithmic Methods in Combinatorial 

Topology”, Go8 Australia-Germany Joint Research Co-operation Scheme 

2012/13 (German Academic Exchange Service). 

– Priority Program 1489 (German Research Foundation): “Algorithmic and Experimental 

Methods in Geometry, Algebra, and Number Theory”, Speaker: Wolfram Decker. 

Sebastian Pfaff 

– Priority Program (SPP) 1253: “Optimization with Partial Differential Equations”. 

Speaker Prof. Dr. Günter Leugering (Universität Erlangen-Nürnberg). 

Marc Pfetsch 

– Dr. Ralf Borndörfer (Zuse-Institut Berlin): Steiner Connectivity Problems. 

– Group of Dr. René Henrion, Weierstraß-Institut für Angewandte Analysis und 

Stochastik (WIAS), Berlin: Gas Transport Optimization. 

– Prof. Dr. Volker Kaibel (Universität Magdeburg): Symmetries in Integer Programming. 

– Group of Dr. Thorsten Koch (Zuse-Institut Berlin): Gas Transport Optimization. 

– Prof. Dr. Dirk Lorenz (TU Braunschweig): Compressed Sensing. 

– Group of Prof. Dr. Alexander Martin (Universität Erlangen-Nürnberg): Gas Transport 

Optimization. 

– Group of Prof. Dr. Werner Römisch (HU Berlin): Gas Transport Optimization. 

– Group of Prof. Dr. Rüdiger Schultz (Universität Duisburg-Essen): Gas Transport Optimization. 

– Group of Prof. Dr. Marc Steinbach (Universität Hannover): Gas Transport Optimization. 





order bifurcations – development, production, evaluation”. Speaker Prof. Dr.-Ing. 



Speaker: Prof. Dr. Michael Schäfer (Department of Mechanical Engineering, TU 

Darmstadt). 


– German Federal Network Agency (Bundesnetzagentur): Project “Technical Capacities 

of Gas Networks”. 

– Open Grid Europe (OGE): Project FORNE. 

Anne Philipp 

– LOEWE - Research Priority Program: “Cooperative Sensor Communication - Cocoon”. 

Excellence Initiative of Hesse. Speaker Prof. Dr.-Ing. Abdelhak Zoubir (Department 

of Electrical Engineering, TU Darmstadt). 

Jan-Frederik Pietschmann 

– Prof. Dr. Martin Burger (Universität Münster): Flow Characteristics in a Crowded 

Transport Model. 

– Dr. Marie-Therese Wolfram (Universität Wien): Numerical simulation and inverse 

problems related to ion channels. 

– Prof. Dr. Zuzanna Siwy (University of California, Irvine): Modeling and simulation 

of nanopores. 

– Prof. Dr. Henrik Shahgholian (KTH Royal Institute of Technology Stockholm): Numerical 

discretization of Hele-Shaw flow problems. 

Ulrich Reif 

– Fraunhofer IGD, Darmstadt: Ambient B-Splines. 

– Prof. Dr. Kai Hormann (University of Lugano): Generalized Lane-Riesenfeld Algorithms. 

– Dr. Malcolm Sabin (University of Cambridge): Geometric Subdivision Algorithms. 

– Dr. Oleg Davydov (Strathclyde University): Two-Stage Approximation on Domains. 

Steffen Roch 

– Prof. Dr. Bernd Silbermann (TU Chemnitz): Operator theory and numerical analysis. 

– Dr. Marko Lindner (TU Hamburg-Harburg): Spectral theory of band operators. 

– Prof. Dr. Vladimir S. Rabinovich (IPN Mexico/City): Limit operators and their applications 

to the spectral theory of PDE. 

– Prof. Dr. Pedro A. dos Santos (IST Lisbon): Numerical analysis for convolution-type 

operators. 

– Prof. Dr. Torsten Ehrhardt (UC Santa Cruz): Szegö limit theorems. 

246 6 Visitors

Rolf Roth 

– Collaborative Research Centre (SFB) 568: “Flow and Combustion in Future Gas Turbine 

Combustion Chambers”. Speaker Prof. Dr.-Ing. Johannes Janicka (Department 


– Dr. Sven Grundmann (TU Darmstadt): “Kernspintomographie zur Optimierung von 

Transportprozessen in technischen Apparaten”. 

– Prof. Dr.-Ing. Cameron Tropea (TU Darmstadt): “Kernspintomographie zur Optimierung 

von Transportprozessen in technischen Apparaten”. 

Jürgen Saal 

– Prof. Dr. Robert Denk (Universität Konstanz), Prof. Dr. Jörg Seiler: Mixed order 

systems. 

– Prof. Dr. Yoshikazu Giga (University of Tokyo), Prof. Dr. Alex Mahalov (Arizona State 

Universtity): Geophysical flows. 

– Prof. Dr. Jan Prüß (Universität Halle), Prof. Dr. Gieri Simonett (Vanderbilt University): 

Free boundary problems. 

– Prof. Dr. Dieter Bothe (TU Darmstadt): Elektrokinetic fluids. 

– Prof. Dr. Reinhard Racke (Universität Konstanz): Hyperbolic fluid models. 

– Prof. Dr. Bettina Frohnapfel (Karlsruhe Institute of Technology (KIT)), Dr. Tobias 

Baier (TU Darmstadt): Drag control and form optimization. 

Carsten Schäfer 

– LOEWE-Center AdRIA: Technological sector simulation tools. 

Nils Scheithauer 

– Prof. Dr. R. E. Borcherds (UC Berkeley): Automorphic forms and vertex algebras. 

– Prof. Dr. E. Freitag (Universität Heidelberg): Automorphic forms. 

– Prof. Dr. G. Höhn (Kansas State University): Vertex algebras and infinite-dimensional 

Lie algebras. 

Adrian Sichau 

– Collaborative Research Centre (SFB) 805: “Control of uncertainty of load carrying 

systems in mechanical engineering”. Speaker Prof. Dr.-Ing. Holger Hanselka (Department 



Sara Tiburtius 

– SPP 1420: “Biomimetic Materials Research: Functionality by Hierarchical Structuring 

of Materials”. Supported by the German Research Foundation (DFG), 2012-2013, 

joint project of Dr. Alf Gerisch (Department of Mathematics, TU Darmstadt) and Prof. 

Dr. Kay Raum (Julius Wolff Institute and Berlin-Brandenburg School for Regenerative 

Therapies, Charité-Universitätsmedizin Berlin). 

Andreas M. Tillmann 

– Marco Ament (Universität Stuttgart): Visualization of Astronomical Nebulae. 

– Prof. Dr. Rémi Gribonval (INRIA Rennes - Bretagne Atlantique): Complexity of 

Cosparse Projection. 

– Dr. Stefan Guthe (TU Braunschweig): Visualization of Astronomical Nebulae. 

– Christian Kruschel (TU Braunschweig): SPEAR project. 

– Prof. Dr. Dirk A. Lorenz (TU Braunschweig): SPEAR project, Visualization of Astronomical 

Nebulae, Compressed Sensing. 

– Prof. Dr.-Ing. Marcus Magnor (TU Braunschweig): Visualization of Astronomical 

Nebulae. 

– Prof. Dr. Marc E. Pfetsch (TU Darmstadt): SPEAR project, Compressed Sensing, 

Computational Complexity of Recovery Conditions. 

– Prof. Dr. Daniel Weiskopf (Universität Stuttgart): Visualization of Astronomical Nebulae. 

– Stephan Wenger (TU Braunschweig): Visualization of Astronomical Nebulae. 




Darmstadt). 

– Graduate School GSC 1070: “Darmstadt Graduate School of Energy Science and 

Engineering”. German Excellence Initiative. Speakers Prof. Dr. Wolfram Jaegermann, 

Prof. Dr. Johannes Janicka (TU Darmstadt). 

– Excellence Cluster EXC 259: “Center of Smart Interfaces: Understanding and Designing 

Fluid Boundaries (CSI)”. German Excellence Initiative. Speaker Prof. Dr.-Ing. 

Cam Tropea (Department of Mechanical Engineering, TU Darmstadt). 

– Prof. Dr. Matthias Heinkenschloss (Rice University, Houston): PDE-Constrained Optimization, 

Model Reduction. 

– Prof. Dr. Michael Herty (RWTH Aachen), Prof. Dr. Günter Leugering, Dr. Martin 

Gugat (Universität Erlangen-Nürnberg): Optimal control of switched networks for 

nonlinear hyperbolic conservation laws. Supported by DFG within SPP 1253. 

248 6 Visitors

– International Research Training Group IGK 1529: “Mathematical Fluid Mechanics” 

Speaker Prof. Dr. Matthias Hieber (Department of Mathematics, TU Darmstadt). 

– Prof. Dr. Bülent Karasözen (METU, Ankara): DAAD Partnership Project “Optimization 

theory, methods and applications”. 

– Prof. Dr. Jens Lang (TU Darmstadt): Adaptive multilevel SQP-methods for PDAEconstrained 

optimization with restrictions on control and state. Theory and Applications. 

Supported by DFG within SPP 1253. 

– LOEWE-Center: “AdRIA: Adaptronik - Research, Innovation, Application”. Excellence 

Initiative of Hesse. Speaker Prof. Dr.-Ing. Holger Hanselka (Department of Mechanical 

Engineering, TU Darmstadt). 

– LOEWE Research Priority Program: “Cooperative Sensor Communication – Cocoon”. 

Excellence Initiative of Hesse. Speaker Prof. Dr.-Ing. Abdelhak Zoubir (Department 

of Electrical Engineering, TU Darmstadt). 

– SFB 568: “Flow and combustion in future gas turbine combustion chambers”. 

Speaker Prof. Dr.-Ing. Johannes Janicka (Department of Mechanical Engineering, 

TU Darmstadt). 

– SFB 666: “Integral sheet metal design with higher order bifurcations - development, 

production, evaluation”. Speaker Prof. Dr.-Ing. Peter Groche (Department of Mechanical 

Engineering, TU Darmstadt). 

– SFB 805: “Control of uncertainties in load carrying systems of mechanical engineering”. 

Speaker Prof. Dr.-Ing. Holger Hanselka (Department of Mechanical Engineering, 

TU Darmstadt). 

– Dr. Anton Schiela (TU Berlin): Preconditioning Techniques for PDE-Constrained Optimization. 

– Prof. Dr. Michael Ulbrich (TU München): Multilevel Methods for PDE-constrained 

Optimization. 

– zeb/rolfes.schierenbeck.associates (Frankfurt): Mixed-Integer nonlinear optimization 

for credit portfolio optimization. 


– Prof. Dr. M.C. Testik (Hacettepe University, Ankara): CUSUM Monitoring of Serially 

Dependent Processes of Counts. 

– Prof. Dr. H.-Y. Kim (Korea University, Seoul): Statistical Inference for Binomial AR(1) 

Processes. 

– Prof. Dr. P. Pollet (University of Queensland): Count Data Time Series and Metapopulation 

Models. 

– S. Schweer (University of Heidelberg): Modeling and Diagnosing Overdispersion in 

Count Data Time Series. 


Irwin Yousept 

– Prof. Dr. Fredi Tröltzsch (TU Berlin): PDE-constrained optimization in induction 

heating. 

– Prof. Dr. Jürgen Sprekels (HU Berlin, WIAS Berlin): Optimal control in crystal 

growth. 

– Prof. Dr. Michael Hintermüller (HU Berlin): Shape optimization techniques for magnetic 

induction tomography. 

– Prof. Dr. Dirk Pauly (Universität Duisburg-Essen): A posteriori error analysis for 

Maxwell’s equations. 

– Prof. Dr. Juan Carlos De Los Reyes (National Technical University Quito): Optimal 

control of electrorheological fluids. 

– Prof. Dr. Daniel Wachsmuth (Universität Würzburg): Hybrid Tikhonov and grad-div 

regularization. 

– Prof. Dr. Christian Meyer (TU Dortmund): Elliptic optimal control problems with 

nonlocal radiation interface conditions. 

– Dr. Sascha Schnepp (ETH Zürich): Discontinuous Galerkin for time optimal control 

problems of full first-order Maxwell’s equations. 

– Dr. Antoine Laurain (TU Berlin): Shape optimization techniques for magnetic induction 

tomography. 

– Dr. Pierre-Etienne Druet (WIAS Berlin): Optimal control in crystal growth. 

– Dr. Olaf Klein (WIAS Berlin): Optimal control in crystal growth. 

Martin Otto and Martin Ziegler 

– Anuj Dawar and Arno Pauly (Cambridge): Descriptive Complexity in Fragments of 

Dependence Logic with Applications to Computable Real Multivalued Functions. 


– Akitoshi Kawamura (University of Tokyo) and Norbert Müller (Universität Trier): 

Quantitative Theory and Practice of Exact Real Computation. 

– Takakazu Mori (Kyoto Sangyo University): Computability in Stochastics. 

6.6 Secondary Schools and Public Relations 

The department of mathematics is involved in various activities for schools, secondary 

school students, and public relations. In addition to printed information material, the 

department of mathematics presents itself to the public on its web pages. These are clearly 

structured and provide quick links for several target groups as well as links leading to 

specific topics in research and teaching at the department. 

250 6 Visitors

To inform our students about our study programmes in Mathematics, the department publishes 

a comprehensive study guide (“Informationsbroschüre”). The guide “Mathematik 

— Warum? Was? Wozu? Wer? Wie? Wo? Weiteres?”, authored by Prof. Kümmerer, informs 

prospective students about different facets of mathematics and corresponding study 

programmes. In 2012, a new leaflet about our Teacher programme was created, and the 

existing leaflets for our Bachelor programmes were updated in 2011. The guides and 

leaflets are also distributed in schools, on fairs and through our widespread network with 

student service centers at universities all over Germany and regional employment centers. 

The web pages with information for our prospective students have been further improved 

in 2011 and 2012. 

The following is a list of further public relations activities. 

Activities for secondary school students and prospective students 

• Presentation of the department with a stall and several talks at the job and study 

information fair HoBIT, Hochschul- und Berufsinformationstage, three days every 

January: about 17.500 participants during the fair in 2012; with a stall staffed 

by Dr. Weiß (student advisor), professors, academic staff and students (talks by 

Prof. Kohlenbach, Dr. Weiß in 2011, and by Prof. Joswig, Prof. Kümmerer, Dr. Weiß 

in 2012) 

• Presentation of the department and its study programmes at the university information 

day, TUDay, every May: with talks by the student advisor, sample lectures and 

tutorial classes, meetings with students of the department; about 80 participants over 

the course of the day in 2012 (lectures by Prof. Ziegler, PD Kraußhar in 2011, and by 

PD Kraußhar, PD Jahnke in 2012) 

• Annual organization of an afternoon with several talks about mathematics for secondary 

school students , “Darmstädter Schülerinnen- und Schülernachmittag zur 

Mathematik” (organization: Prof. Kohler; talks by Prof. Kohlenbach, Prof. Kohler, 

Dr. Pinkernell, Prof. Scheithauer in 2011, and by Prof. Betz, Prof. Kohler, Prof. Pfetsch, 

Prof. Ziegler in 2012) 

• Annual presentation of the department at the information days for female students, 

“Schnuppertage für Schülerinnen”, with a talk by the student advisor, a sample lecture 

and talks with female mathematicians, about 30 participants in each year (organization: 

Ms Cosulich in 2011 and Ms Schubotz in 2012; talk: student advisor 

Dr. Weiß; lectures by Ms Kürsten in 2011 and PD Jahnke in 2012) 

• Support of the annual organization of the Mathematikolympiade Hessen (third level) 

in cooperation with the Center for Mathematics Bensheim for all grades (about 25 

participants per grade each year) (Prof. Kiehl, academic staff and students). 

As part of the final rounds in 2011 and 2012, mathematical afternoon lectures were 

delivered by Prof. Kiehl and Prof. Scheithauer. 

• Hosting of the Internet portal for secondary school students mathe-zirkel.de with 

information and encouragement for interested secondary school students, including 

a quarterly contest for secondary school students in grade 7 and upwards (Prof. 

Bruder). 

6.6 Secondary Schools and Public Relations 251

• Organization of the Mathematical Modeling Week for secondary school students in 

grade 12 in cooperation with Center for Mathematics Bensheim each October (40 

participants each year) (Prof. Kiehl). 

• Involvement in the annual German Maths Contest (Bundeswettbewerb Mathematik) 

(Prof. Alber, Prof. Roch) 

• 3-day special programme including lectures, exercises and supervised group work 

dedicated to the topic of Logic and The Modelling of Information and Knowledge 

(September 13-15 in 2011, and September 18-20 in 2012) for the year 12 Mathematik 

Leistungskurs/Tutorium of Edith-Stein-Schule (2011) and of Edith-Stein- 

Schule, Eleonorenschule and Alfred-Delp-Schule (2012), respectively (devised and 

taught by Prof. Ziegler and tutors). 

• In connection with the project course “Teaching in Mathematics: Problem Solving” 

(Prof. Bruder, StR Böhnke and participating students, winter semester 2012/13), diverse 

mathematical “Knobelstraßen” for secondary schools were developed and conducted 

at several schools in Darmstadt and Frankfurt. 

Other activities 

• Talk entitled “Mathematik, die beleidigte Königin der Wissenschaften” at the 

Heinrich-Mann Schule in Dietzenbach (March 16, 2011, Prof. Kümmerer) 

• Annual Graduation Event: celebration with friends and family of the graduated students 

(organisation: Prof. Alber and staff in 2011, Prof. Kohlenbach and staff in 

2012). 

• Ernst-Schröder-Colloquia and other activities of the “Ernst-Schröder-Zentrum für Begriffliche 

Wissensverarbeitung”. 

252 6 Visitors

7 Contact 

Address 

Fachbereich Mathematik 

Schlossgartenstraße 7 

D-64289 Darmstadt 

Buildung: S2|15 

Homepage: http://www.mathematik.tu-darmstadt.de 

E-mail: dekan@mathematik.tu-darmstadt.de 

Dean (until March 2011 and from October 2011 until September 2012) 

Prof. Dr. Jan Hendrik Bruinier 

Room: S2|15 - 411 

Phone: +49-(0)6151-16 2387 

E-mail: bruinier@mathematik.tu-darmstadt.de 

Dean (from April 2011 until September 2011) 

Prof. Dr. Karsten Große-Brauckmann 

Room: S2|15 - 305 

Phone: +49-(0)6151-16 3687 

E-mail: kgb@mathematik.tu-darmstadt.de 

Dean (from October 2012) 

Prof. Dr. Burkhard Kümmerer 

Room: S2|15 - 214 

Phone: +49-(0)6151-16 3788 

E-mail: kuemmerer@mathematik.tu-darmstadt.de 

Dean (Deputy, until March 2012) 

Prof. Dr. Stefan Ulbrich 

Room: S4|10 - 123 

Phone: +49-(0)6151-16 2487 

E-mail: ulbrich@mathematik.tu-darmstadt.de 

Dean (Deputy, from April 2012) 

Prof. Dr. Karsten Große-Brauckmann 

Room: S2|15 - 305 

Phone: +49-(0)6151-16 3687 

E-mail: kgb@mathematik.tu-darmstadt.de 

Dean (Studies, until March 2012) 

Prof. Dr. Ulrich Reif 

Room: S2|15 - 306 

Phone: +49-(0)6151-16 2189 

E-mail: reif@mathematik.tu-darmstadt.de 

7 Contact 253

Dean (Studies, from April 2012) 

Prof. Dr. Martin Otto 

Room: S2|15 - 207 

Phone: +49-(0)6151-16 3115 

E-mail: 

otto@mathematik.tu-darmstadt.de 

Department Coordinator 

Dr. Andreas Mars 

Room: S2|15 - 240 

Phone: +49-(0)6151-16 3589 

Fax: +49-(0)6151-16 6535 

E-mail: 

mars@mathematik.tu-darmstadt.de 

Administration 

Claudia Cramer 

Room: S2|15 - 247 

Phone: +49-(0)6151-16 2601 

Fax: +49-(0)6151-16 6535 

Office Hours: Mo - Fr 10.30 - 12.00 

E-mail: 

cramer@mathematik.tu-darmstadt.de 

Administration (Staff) 

Sybille Drexler 

Room: S2|15 - 250 

Phone: +49-(0)6151-16 2193 

Fax: +49-(0)6151-16 6535 

Office Hours: Mo - Th 14.00-15.30, Fr 13.00-14.00 

E-mail: 

drexler@mathematik.tu-darmstadt.de 

Administration (Budget) 

Monika Kammer 

Room: S2|15 - 249 

Phone: +49-(0)6151-16 5526 

Fax: +49-(0)6151-16 6535 

Office Hours: Mo - Fr 10.30-12.00 

E-mail: 

kammer@mathematik.tu-darmstadt.de 

Women’s Representative (until August 2011) 

Laura Cosulich 

Left TU Darmstadt 

Women’s Representative (from September 2011 until September 2012) 

254 7 Contact

Betina Schubotz 

Room: S2|15 - 206 

Phone: +49-(0)6151-16 4686 

E-mail: frauenbeauftragte@mathematik.tu-darmstadt.de 

Women’s Representative (from October 2012) 

Claudia Alfes, Silke Horn, Priska Jahnke and Nicole Lehmann 

E-mail: frauenbeauftragte@mathematik.tu-darmstadt.de 

Students Represantatives 

Room: S2|15 - 347 

Phone: +49-(0)6151-16 4515 / -16 3701 

Fax: +49-(0)6151-16 4011 

E-mail: fachschaft@mathematik.tu-darmstadt.de 

255

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