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
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
Optimisation
Algorithms for NP-hard combinatorial and for continuous convex and non-convex optimisation, semi-definite programming, active set methods

There are active cooperation projects between these fields of research and with the Department of Statistics, including those within the framework of the “Modelling – Simulation – Optimisation” at Karl Popper Doctoral College.

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