Department Research Areas

 

Name

Key Activities

Algorithmic Algebra

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

Analysis
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

Didactics of Mathematics

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

Algorithmic Discrete Mathematics
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. Oliver Schaudt Algorithms for discrete structures, parameterized complexity, graph theory

Univ. Prof. Dr. Eberhard Triesch

Discrete mathematics, graph theory, search problems

 

Name

Key Activities

Numerical Analysis, Computational Engineering Science

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

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.
hierarchical matrices, fast solvers for PDEs

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
techniques, fast iterative solvers, finite element methods

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

Statistics / Stochastics

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

Associated Members

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