# Mathematical Research in Darmstadt

Our department consists of eight working groups, each of which covers a certain area of mathematics. On this page, you find a concise overview over the groups. A click on the headline of each group brings you to their respective home page.

### Algebra

Bruinier, Hofmann, Kümmerer, Li, von Pippich, Richarz, Scheithauer, Wedhorn.

Research topics include algebraic geometry, number theory, automorphic forms, vertex algebras.

### Analysis

Alber, Bothe, Farwig, Hieber, Roch.

Research topics include partial differential equations, functional analysis, harmonic analysis, evolution equations, fluid dynamics, reaction diffusion systems.

### Didactics

Bruder, Kümmerer.

Research topics include didactics of mathematics, quantum probability theory.

### Geometry and Approximation

Große-Brauckmann, Reif.

Research topics include spline surfaces, subdivision surfaces, surface theory, geometric variational pro-

blems, Riemannian geometry.

### Logic

Kohlenbach, Otto, Streicher.

Research topics include proof theory, reconstruction theory, finite and algorithmic model theory, comple-

xity theory.

### Numerical Analysis and Scientific Computing

Egger, Erath, Giesselmann, Kiehl, Lang.

Research topics include numerical solutions of differential equations, uncertainty quantification, model reduction, reactive flows, optimal control of networks.

### Optimization

Disser, Pfetsch, Schwartz, Ulbrich, Wollner.

Research topics include discrete and combinatorial optimization, nonlinear optimization, optimization with partial differential equations, online optimization, equilibrium problems, mixed integer-nonlinear optimization, optimization under uncertainty, optimization in machine learning.

### Probability and Statistics

Aurzada, Betz, Kohler.

Research topics include statistical mechanics, persis-

tence probabilities, Levy processes, condensation, non-parametric statistics.