Department Research Areas
Name |
Key Activities |
---|---|
Univ. Prof. Dr. Gerhard Hiß |
Group and representation theory, in particular algorithmic methods |
PD Dr. Jürgen Müller |
Computational group and representation theory, in particular structure of module categories; sporadic simple groups; symmetric groups; Hecke algebras; algebraic aspects of combinatorics, graph theory, geometry |
Univ. Prof. Dr. Gabriele Nebe |
Representation theory of finite groups and applications to quadratic forms p-adic integral group rings; algorithms for arithmetic groups; Hecke operators for arithmetic groups and their analogues in coding theory; applications of number theory and representation theory for the construction and investigation of dense lattices and good error correcting codes |
Univ. Prof. Dr. Alice Niemeyer | Group theory, in particular algortihmic methods for permutation and matrix groups; simplicial surfaces. |
Univ. Prof. Dr. Eva Zerz |
Algebraic Analysis, Systems and Control Theory |
Name |
Key Activities |
---|---|
JProf. Dr. Sjoerd Dirksen | High-dimensional and noncommutative probability theory, mathematical signal processing, compressive sensing, stochastic analysis |
Univ. Prof. Dr. Hartmut Führ |
Nontrigonometric harmonic analysis, Abstract harmonic analysis, Communication, information |
PD Dr. Harald Günzel |
Continuous optimization, in particular structural researches under generic conditions |
Univ. Prof. Dr. Aloys Krieg |
Analytic number theory, automorphic forms |
Univ. Prof. Dr. Stanislaus Maier-Paape |
Partial Differential Equations, Dynamical Systems, Probability Theory and Stochastic Processes |
Univ. Prof. Dr. Christof Erich Melcher |
Partial differential equations, Pattern formation and topological defects, Applications to mathematical physics and materials science |
Univ. Prof. Dr. Heiko von der Mosel |
Differential Geometry, Calculus of Variations, Partial Differential Equations |
Univ. Prof. Dr. Holger Rauhut |
Applied harmonic analysis, mathematical signal processing, compressive sensing, random matrices, convex optimization |
PD Dr. Alfred Wagner |
Partial Differential Equations, Calculus of Variations |
Univ. Prof. Dr. Sebastian Walcher |
Ordinary differential equations |
Univ. Prof. Dr. Michael Westdickenberg |
Partial Differential Equations, Calculus of Variations, Fluid Mechanics |
Univ. Prof. Dr. Maria G. Westdickenberg |
Partial Differential Equations, Calculus of Variations, Probability Theory and Stochastic Processes |
PD. Dr. Olaf Wittich |
Ordinary stochastic differential equations |
Name |
Key Activities |
---|---|
Univ. Prof. Dr. Johanna Heitzer |
Development and Testing of Appropriate Course Materials; Applied and Interdisciplinary Mathematics; Illustrations, Models, and Films in Mathematics Education; Didactic Analysis of Working Methods Specific to Mathematics; Research into Processes of Mathematical Learning and Understanding; Concept Development and Language in Mathematics; eTests and eLearning for Mathematics; Transition from School to University; Didactics of Mathematics as a Science; History of Mathematics as a Source of Teaching Concepts |
Name |
Key Activities |
---|---|
JProf. Dr. Christina Büsing | Discrete optimization, combinatorial algorithm on graph problems, robust approaches for dealing with uncertainties, application of discrete optimization in health care services |
Univ. Prof. Dr. Erich Grädel |
Mathematical logic; mathematical foundations of computer science; algorithmic model theory; the theory of finite and infinite games, their applications in logic and the specification and verification of reactive systems; descriptive complexity theory; fixed-point logics; automatic structures |
apl. Prof. Dr. Yubao Guo |
Graph theory, discrete optimization, complexity theory, combinatorial analysis |
Univ. Prof. Dr. Arie Koster |
Discrete optimization, integer linear programming, combinatorial algorithms, robust optimization, fixed parameter tractable algorithms |
Univ. Prof. Dr. Eberhard Triesch |
Discrete mathematics, graph theory, search problems |
Name |
Key Activities |
---|---|
JProf. Dr. Benjamin Berkels |
Variational Image Processing, Multimodal and Non-rigid Registration, Segmentation, Medical Image Processing |
Univ. Prof. Dr. Wolfgang Dahmen |
Adaptive solution concepts, nonlinear approximation, Petrov-Galerkin formulations, preconditioning for high order discretizations, reduced basis methods, high dimensional tensor methods, image processing, mathematical learning theory, compressed sensing |
Herr Univ. Prof. Dr. Mike Espig | Efficient numerical treatment of high-dimensional problems by means of tensor formats, high dimensional problems and low tensor rank arithmetic, analysis and development of innovative algorithms for multi-linear tensor notations, approximation in tensor product Hilbert spaces, uncertainty quantification, analysis of high-dimensional data, arithmetic of hierarchical matrices |
Univ. Prof. Dr. Martin Frank |
Approximation Techniques for Kinetic Equations, Numerical Methods for Hyperbolic Balance Laws, Optimization with partial differential equations, Application-oriented mathematics in research and teaching |
Univ. Prof. Dr. Lars Grasedyck |
Numerical methods for high-dimensional approximation. |
Univ. Prof. Dr. Martin Grepl |
Model Order Reduction Techniques, Reduced Basis Methods, Optimization with Partial Differential Equations, Optimal and Feedback Control of Partial Differential Equations |
Univ. Prof. Dr. Michael Herty |
Numerical methods for hyperbolic conservation laws, wave-front tracking, modeling and analysis for kinetic partial differential equations, nonlinear optimization, optimal control and closed loop control for partial differential equations |
apl. Prof. Dr. Siegfried Müller |
Numerical Methods for compressible single- and multiphase flows, finite volume methods, Discontinuous-Galerkin schemes, grid adaptation, multiscale methods |
Univ. Prof. Dr. Sebastian Noelle |
Hyperbolic conservation laws, geophysical flows, finite volume schemes, asymptotic preserving schemes, adjoint error control |
Univ. Prof. Dr. Arnold Reusken |
Numerical Methods for two-phase incompressible flows, multigrid |
Univ. Prof. Dr. Benjamin Stamm | Numerical methods in computational chemistry, eigenvalue problems, a posteriori estimates, reduced basis method |
Univ. Prof. Dr. Manuel Torrilhon |
Approximation Techniques for Kinetic Equations, Boltzmann-Equation, Magnetohydrodynamics, Finite-Volume-Methods, Mathematical Modeling |
Name |
Key Activities |
---|---|
Univ. Prof. Dr. Marco Burkschat |
Applied and mathematical statistics, stochastic modelling, models for ordered data (e.g. order statistics, records), censoring models, reliability theory, dependencies of multidimensional random variables, eLearning (www.emilea.de) |
Univ. Prof. Dr. Erhard Cramer |
Applied statistics, mathematical statistics, statistical procedures for censored data, models of ordered data, extreme value analysis, multivariate statistics, statistical intervals, reliability, eLearning in mathematics, teaching and learning of mathematics and statistics in school |
Univ. Prof. Dr. Udo Kamps |
Applied and mathematical statistics, stochastic modelling, stochastics in engineering, insurance mathematics, reliability theory, special interest in models for ordered data (e.g. order statistics, records) and their applications, eLearning, stochastics in school |
Univ. Prof. Dr. Maria Kateri |
Stochastic modelling, multivariate statistical methods, analysis of categorical, ordinal and longitudinal ordinal data, statistics in engineering, reliability theory, biostatistics, Bayesian statistics, statistical information theory |
Univ. Prof. Dr. Ansgar Steland |
Asymptotic distribution theory, especially invariance principles and their applications, change-points and sequential analysis, mathematics and statistics in finance, high-dimensional statistics, nonparametrics and empirical processes, econometrics, quality control, statistics of stochastic processes, computational statistics, simulation and resampling, stochastics in engineering, especially signal processing and photovoltaics, stochastic modelling, time series analysis |
Name |
Further Information |
---|---|
Univ. Prof. Dr. Rudolf Mathar |
Faculty 6, Chair of Theoretical Information Technology |
Univ. Prof. Dr. Britta Peis | Faculty 8, Chair of Management Science |
Univ. Prof. Dr. Marco Lübbecke |
Faculty 8, Chair of Operations Research |
Univ. Prof. Dr. Ralf-Dieter Hilgers |
Faculty 10, Institut for Medical Statistics |