Research Fields
Research at the Department of Mathematics covers many areas of mathematics. On the one hand innermathematical questions play a key role. It is particularly fruitful to study the relationship of various mathematical fields among themselves and to apply methods of one field to another. Furthermore, many interesting problems are motivated by problems in the natural and engineering sciences and economics. Current topics include the following fields:

Prof. Dr. S. König 
Algebra, representation theory, homological and categorical structures 
Prof. Dr. M. Geck 
Representation theory, groups of Lie type, computer algebra 
Prof. Dr. A. Henke 
Representation theory of groups and algebras, combinatorial representation theory, algebraic combinatorics 
Prof. Dr. Wolfgang Rump 
Categorical representation theory, quantum theory and Igroups, triangulated categories 

Prof. TeknD T. Weidl 
Spectral theory, mathematical physics 
Prof. Dr. G. Schneider

Nonlinear partial differential equations, justification of amplitude equations, diffusive and dispersive dynamics 
Prof. Dr. M. Griesemer 
Dynamics of quantum systems, justification of amplitude equations, diffusive and dispersive dynamics 
Prof. Dr. J. Pöschel 
Dynamical systems, stability theory of Hamiltonian systems, KAM theory, astropaleobotany 
Priv.Doz. P. Lesky 
Partial differential equations, spectral theory for selfadjoint operators,
resonance and decay occuring by solutions of waveequations in unbounded domains, energy estimates for solutions of nonlinear wave equations 
Priv.Doz. J. Wirth 
Analysis of partial differential equations, operator theory, harmonic analysis in R^{n} and on Lie groups 
Priv.Doz. W.P. Düll 
Nonlinear partial differential equations, mathematical fluid mechanics, justification of approximation equations 

Prof. Dr. C. Rohde 
Nonlinear partial differential equations, modeling, analysis, numerics, mathematical fluid mechanics/CFD 
Prof. Dr. K.G. Siebert 
Numerical analysis and scientific computing, partial differential equations 
Prof. Dr. D. Göddeke 
Highperformance computing, parallel numerics, fast solvers 
Prof. Dr. B. Haasdonk 
Model reduction, numerical analysis, scientific computing 
Jun.Prof. Dr. A. Barth 
Solution theory and numerical analysis for stochastic partial differential equations, stochastic analysis 
Priv.Doz. Dr. I. Rybak 
Flows in porous media, averaging theories, numerical methods for multiscale problems 

Prof. Dr. U. Semmelmann 
Spin geometry and Dirac operators, geometric differential equations, Holonomy theory and special geometric structures 
Prof. Dr. F. Witt 
Gauge theory, special holonomy, complex geometry 
Prof. Dr. M. Eisermann 
Geometric topology, especially lowdimensional manifolds; knot theory and Zopf groups, their representations and invariants; group theory, algorithms and computer algebra 
Prof. Dr. W. Kimmerle 
Group and representation rings, crystallography, integral group rings and lattices, representation theory of groups and group theory automorphisms of simplicial complexes 
Priv.Doz. Dr. M. Hamilton 
4dimensional manifolds, geometric topology, mathematical and theoretical physics 
Priv.Doz. Dr. A. Kollross 
Lie group actions, Riemannian homogeneous and symmetric spaces 

Prof. Dr. I. Steinwart 
Statistical learning theory and machine learning, theory and implementation of kernelbased learning methods, cluster analysis 
Prof. Dr. C. Hesse 
Nonparametric estimation theory, especially deconvolution; statistical analysis of voting systems; differential equations with noisy data; stochastic dynamics of manybody systems 
Prof. Dr. U. R. Freiberg 
Stochastic processes and fractal path properties, potential theory on fractals, dimension theory of random fractals 
Priv.Doz. Dr. J. Dippon 
Stochastic analysis, stochastic models in life sciences, mathematical finance 