Research

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

Professors: Bruinier, Hofmann, Kümmerer, Li, von Pippich, Richarz, Scheithauer, Wedhorn. Research topics include algebraic geometry, number theory, automorphic forms, vertex algebras.

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Analysis

Professors: Bothe, Egert, Haller-Dintelmann, Hieber, Modena, Roch, Stinner. Research topics include partial differential equations, functional analysis, harmonic analysis, evolution equations, fluid dynamics, reaction diffusion systems.

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Didactics

Professors: Bruder, Krüger, Kümmerer Schweitzer. Research topics include didactics of mathematics, quantum probability theory.

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Geometry and Approximation

Professors: Große-Brauckmann, Mäder-Baumdicker, Reif. Research topics include spline surfaces, subdivision surfaces, surface theory, geometric variational problems, Riemannian geometry.

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Logic

Professors: Freund, Kohlenbach, Otto, Schweitzer, Streicher. Research topics include proof theory, recursion theory, finite and algorithmic model theory, complexity theory.

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Numerical Analysis and Scientific Computing

Professors: Giesselmann, Lang, Tscherpel. Research topics include numerical approximation of differential equations, uncertainty quantification, model reduction and adaptivity.

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Optimization

Professors: 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.

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Probability and Statistics

Professors: Aurzada, Betz, Kohler. Research topics include statistical mechanics, persistence probabilities, Levy processes, condensation, non-parametric statistics.

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