The Institute of Mathematics consists of 14 research groups researching and teaching about various aspects of mathematics.
- Algebraic Geometry (van Straten, Ruddat)
- Arithmetic Geometry (Blickle)
- Computer Algebra (de Jong)
- Homotopy Theory (Rahn)
- Motivic homotopy theory (Bachmann)
- Topology and Geometry (Lehn, Hog-Angeloni)
- Number Theory (Müller-Stach, Pfister)
The Research Group Number Theory is currently working on period numbers and period domains. A special focus is the theory and geometry of Shimura varieties.
- Applied Analysis (Rendall, Fröhlich, Kraus, Schneider)
The group 'Applied Analysis' is concerned with applications of analysis both outside and within mathematics. Key topics are mathematical biology and differential geometry.
- Functional Analysis (Kostrykin, Tolksdorf)
In our group, we study the emergence and development of mathematical and
scientific concepts and theories in their respective historical and
This group represents all facets of numerical analysis, ranging from modelling aspects to scientific computing. Specific research questions include partial differential equations, in particular hyperbolic conservation laws, inverse problems and numerical linear algebra, adaptive discretization schemes and numerical optimization. Applications arise from fluid dynamics, soft matter physics as well as medicine and biology.
We are concerned with mathematical modelling and analysis of randomness. Our research focus is on interacting particle systems, branching processes, stochastic analysis, statistics of stochastic processes, applications in population- and neuro-biology and in statistical physics.