Algebra and number theory, graph theory, analysis of algorithms, analytic combinatorics, cryptography
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):
Non-autonomous and numerical dynamics, bifurcation theory
Regularisation, image processing, parameter identification in partial differential equations, non-linear acoustics, hysteresis models
Algorithms for NP-hard combinatorial and for continuous convex and non-convex optimisation, semi-definite programming, active set methods
A complete list of all research projects at the Department of Mathematics can be found in the Research Documentation (FoDok).