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Areas of Research

Department of Mathematics

The seven institutes in the department cover many important research areas in mathematics.


The Department of Mathematics conducts research in many important and modern fields of mathematics. On the one hand, strong fundamental research and the interplay between mathematical fields play a key role. On the other hand, research topics are inspired by interdisciplinary questions in natural, engineering, life and economic sciences, leading to the development of new mathematical methods and foundations.

Members of the Department of Mathematics participate in the Cluster of Excellence SimTech and in various Collaborative Reseach Centers and Research Training Groups. They maintain strong international and national collaborations, and sustain several large software projects.

Research Areas

Prof. Dr. M. Geck Algebra, Representation theory, algebraic groups and Lie-Algebren, Computer algebra
Prof. Dr. A. Henke Representation theory of groups and algebras, Combinatorial representation theory, Algebraic combinatorics
Prof. Dr. S. König Algebra, Representation theory, Homological and categorical structures
Prof. Dr. M. Griesemer Dynamics and spectral theory of many-particle quantum systems, Variational methods in quantum mechanics
Prof. TeknD T. Weidl Spectral theory, Mathematical physics
Apl. Prof. Dr.  J. Wirth Analysis of partial differential equations, Operator theory, Harmonic analysis in Rn and on Lie groups
Prof. Dr. F. Witt global Analysis

 

Apl.Prof. Dr. W.-P. Düll Nonlinear partial differential equations, Mathematical fluid mechanics, Justification of approximation equations, Multi-scale methods in mathematical modelling
Prof. Dr. C. Scherer Systems theory and optimisation, Analysis of uncertain dynamical systems, Robust controller synthesis
Prof. Dr. G. Schneider
Nonlinear partial differential equations, Diffusive and dispersive dynamics, Multi-scale problems in mathematical modelling

 

Priv.-Doz. Dr. A. Degeratu Differential geometry, Complex geometry, Partial differential equations, Gauge theory, Mathematical physics, Mathematical biology
Prof. Dr. M. Eisermann Geometric topology, Low-dimensional manifolds, Group theory, Algorithms and computer algebra
Apl. Prof.  Dr. A. Kollross Lie group actions, Riemannian homogeneous and symmetric spaces
Prof. Dr. U. Semmelmann Spin geometry and Dirac operators, Geometric differential equations, Holonomy theory and special geometric structures
Prof. Dr. F. Witt Differential and algebraic geometry

 

Priv.-Doz. Dr. A. Degeratu Differential geometry, Complex geometry, Partial differential equations, Gauge theory, Mathematical physics, Mathematical biology
Apl.Prof. Dr. W.-P. Düll Nonlinear partial differential equations, Mathematical fluid mechanics, Justification of approximation equations, Multi-scale methods in mathematical modelling
Prof. Dr. M. Griesemer Dynamics and spectral theory of many-particle quantum systems, Variational methods in quantum mechanics
Priv.-Doz. Dr. P. Lesky Partial differential equations, Spectral theory for self-adjoint operators, Energy estimates for solutions of nonlinear wave equations
Prof. TeknD T. Weidl Spectral theory, Mathematical physics
Prof. Dr. F. Witt Quantum Theory

 

Apl. Prof. Dr. W.-P. Düll Nonlinear partial differential equations, Mathematical fluid mechanics, Justification of approximation equations, Multi-scale methods in mathematical modeling  
Prof. Dr. B. Haasdonk Model reduction and data-based modelling, Numerical simulation, Machine learning
Jun.-Prof. Christina Lienstromberg

Nonlinear partial differential equations: modelling, analysis, mathematical fluid dynamics

Prof. Dr. Nicole Radde Stochastic Modeling and Simulation of cellular systems, Systems-theoretic methods for intracellular regulation mechanisms
Priv.-Doz. Dr. I. Rybak Flows in porous media, numerical methods for multi-scale problems
Prof. Dr. G. Schneider
Nonlinear partial differential equations, Diffusive and dispersive dynamics, Multi-scale problems in mathematical modelling

 

Prof. Dr. A. Barth Stochastic partial differential equations, Uncertainty quantification, Stochastic analysis
Prof. Dr. D. Göddeke High performance computing, GPU computing, Applications in optimisation, geo- and life sciences
Prof. Dr. B. Haasdonk Model reduction and data-based modelling, Numerical simulation, Machine learning
Prof. Dr. B. Hahn-Rigaud
(Dynamic) Inverse Problems / Imaging / Data Analysis and Image Processing
Prof. Dr. C. Rohde Modelling, analysis, simulation with nonlinear partial differential equations, Mathematical fluid mechanics / CFD
Priv.-Doz. Dr. I. Rybak Flows in porous media, Numerical methods for multi-scale problems
Prof. Dr. B. Stamm Numerics of partial differential equations, Atomistic simulations, Eigenvalue problems, Model reduction 
Prof. Dr. B. Hahn-Rigaud
(Dynamic) Inverse Problems / Imaging / Data Analysis and Image Processing
Prof. Dr. C. Scherer Systems theory and optimisation, Analysis of uncertain dynamical systems, Robust controller synthesis

 

Priv.-Doz. Dr. A. Degeratu Differential geometry, Complex geometry, Partial differential equations, Gauge theory, Mathematical physics, Mathematical biology
Apl. Prof. Dr. W.-P. Düll Nionlinear partial differential equations, Mathematical fluid mechanics, Justification of approximation equations, Multi-scale methods in mathematical modelling 
Jun.-Prof. Christina Lienstromberg

Nonlinear partial differential equations: modelling, analysis, mathematical fluid dynamics

Prof. Dr. C. Rohde Modelling, analysis, numerics with nonlinear partial differential equations, Mathematical fluid mechanics / CFD
Prof. Dr. G. Schneider
Nonlinear partial differential equations, Diffusive and dispersive dynamics, Multi-scale problems in mathematical modelling
Apl. Prof. Dr.  J. Wirth Analysis of partial differential equations, Operator theory, Harmonic analysis in Rn and on Lie groups

 

Prof. Dr. C. Hesse Nonparametric theory of estimation, especially deconvolution, Statistical analysis of voting systems, Differential equations with random initial conditions
Jun.-Prof. Dr. M. Oesting Extreme value statistics, spatial statistics, simulation of stochastic processes
 Prof. Dr. Nicole Radde Statistical methods for model calibration with sparse data in systems biology
Prof. Dr. A. Barth Stochastic partial differential equations, Uncertainty quantification, Stochastic analysis
Priv.-Doz. Dr. J. Dippon Stochastic analysis, Stochastic models in biology and medicine, Mathematical finance
Prof. Dr. C. Hesse Nonparametric theory of estimation, especially deconvolution, Statistical analysis of voting systems, Differential equations with random initial conditions
Jun.-Prof. Dr. M. Oesting Extreme value statistics, spatial statistics, simulation of stochastic processes
Prof. Dr. Nicole Radde Stochastic Modeling and Simulation of cellular systems, Statistical methods for model calibration with sparse data in systems biology
Prof. Dr. I. Steinwart Statistical learning theory and machine learning, Cluster analysis, neural networks
Prof. Dr. M. Eisermann Geometric topology, in particular low-dimensional manifolds, Group theory, Algorithms and computer algebra

 

Prof. Dr. D. Göddeke High performance computing, GPU computing, Applications in optimisation, geo- and life sciences
Prof. Dr. B. Stamm Numerics of partial differential equations, Atomistic simulations, Eigenvalue problems, Model reduction 
Prof. Dr. I. Steinwart Efficient implementations of learning algorithms, Applications for learning algorithms, neural networks

 

Contact person for specific project inquiries:

This image shows Dominik  Göddeke

Dominik Göddeke

Prof. Dr.

Vice Dean Mathematics

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