The research is concentrated in three focuses: partial differential equations; geometry, groups and topology; stochastic models. This is complemented by several individual projects.
Partiel Differential Equations
This focus works as well on foundations as on appications in sciences and engineering. This plays a central role in the research topics of KIT.
The DFG research training group "Analysis, Simulation and Design nanotechnological processes" is part of this research focus.
Geometry, Groups und Topology
This research focus covers a broard spectrum in mathematical fundamental research in geometry, topology, algebraic geometry, and geometric group theory.
This research focus covers many fields in mathematical stochastics including statial stochastics and stochastic geometry (with a coordinated DFG Reseach Group on Geometry and Physics of Spatial Random Systems), statistical model validation, and stochastic processes in finance.