- Mathematical research often starts from concrete problems that result from the increasing mathematization of the natural and social sciences. All questions that have a quantitative, structural, algorithmic, dynamic or geometric component are questions of mathematics. On the other hand, mathematics develops internal questions that are just as fruitful.
- Basic research in core areas of mathematics is carried out at the Mathematical Institute. The focus is on: Algebraic Geometry, Analysis, Mathematical Physics and Numerics, Differential Geometry and Topology, Geometry and Topology, Mathematical Logic as well as Stochastics and Financial Mathematics.