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Department of Mathematics

Areas of Research

The six 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

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Prof. Dr. M. Geck Representation theory, 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

 

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. J. Pöschel Dynamical systems, Stability of Hamiltonian systems, KAM-theory
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
Prof. Dr. U. R. Freiberg Analysis and stochastics on fractals, Random fractals, Krein-Feller-theory, Quantum graphs, Graphs and networks
Priv.-Doz. Dr. M. Hamilton  4-dimensional manifolds, Geometric topology, Mathematical and theoretical physics
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 geometry, Complex 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. M. Hamilton  4-dimensional manifolds, Geometric topology, Mathematical and theoretical physics
Priv.-Doz. Dr. P. Lesky Partial differential equations, Spectral theory for self-adjoint operators, Energy estimates for solutions of nonlinear wave equations
Prof. Dr. J. Pöschel Dynamical systems, Mathematical and theoretical physics, KAM-theory
Prof. TeknD T. Weidl Spectral theory, Mathematical physics
Prof. Dr. F. Witt Mathematical and theoretical physics

 

Apl. Prof. Dr. W.-P. Düll Nonlinear partial differential equations, Mathematical fluid mechanics, Justification of approximation equations, Multi-scale methods in mathematical modeling  
Priv.-Doz. Dr. J. Giesselmann Hyperbolic conservation laws, Compressible multi-phase flow
Prof. Dr. B. Haasdonk Model reduction and data-based modelling, Numerical simulation, Machine learning
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. 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. 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 
Priv.-Doz. Dr. J. Giesselmann Hyperbolic conservation laws, Compressible multi-phase flow
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. 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. U. R. Freiberg Analysis and stochastics on fractals, Random fractals, Krein-Feller-theory, Quantum graphs, Graphs and networks
Prof. Dr. C. Hesse Nonparametric theory of estimation, especially deconvolution, Statistical analysis of voting systems, Differential equations with random initial conditions
Prof. Dr. I. Steinwart Statistical learning theory and machine learning, Cluster analysis
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. I. Steinwart Efficient implementations of learning algorithms, Applications for learning algorithms

 

Contact person for specific project inquiries:

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Prof. Dr.

Christian Rohde

Prodekan Mathematik