Research groups

The spectrum of research at the Department ranges from theoretical basics to specific applications. The fields of research represented here cover an especially wide area within mathematics (especially when measured against the absolute staffing level of the Department):

Discrete Mathematics
Algebra and number theory, graph theory, analysis of algorithms, analytic combinatorics, cryptography
Discrete Optimization
Algorithms for NP-hard combinatorial and for continuous convex and non-convex optimisation, semi-definite programming, active set methods
Dynamic Systems
Non-autonomous and numerical dynamics, bifurcation theory
Inverse Problems
Regularisation, image processing, parameter identification in partial differential equations, non-linear acoustics, hysteresis models
Stochastic Optimization
Stochastic algorithms, analysis of nonsmooth and infinite-dimensional problems, systems with partial differential equations

There are active collaborations between these areas and with the Department of Statistics, in particular within the key research strength “Multiple Perspectives in Optimization”.

A complete list of all research projects at the Department of Mathematics can be found in the Research Documentation (FoDok).