Working Groups and Research Areas
Research areas and research groups
- Algebra and Number theory
Alfes, Claudia Automorphic forms, number theory Baumeister, Barbara Algebra, in particular group theory and algebraic combinatorics Botero, Ana Maria Algebraic and arithmetic geometry (toric and tropical varieties), connections to Arakelov intersection theory Crawley-Boevey, William Representation theory of algebras, algebraic geometry Götze, Friedrich Analytical number theory Hebestreit, Fabian Algebraic K-theory Hoffmann, Werner Non-commutative harmonic analysis, automorphic forms Krause, Henning Representation theory of finite-dimensional algebras, homological algebra Kühne, Lukas Combinatorial algebra Lau, Eike Algebra and number theory, arithmetic geometry Lederle, Waltraud Measurable and geometric group theory, topological groups Spieß, Michael Representation theory of groups, Arithmetic geometry Vial, Charles Algebraic geometry, motives, cycles on algebraic varieties Voll, Christopher Asymptotic group theory - Mathematics education
Gerlach (geb. Tiedemann), Kerstin Inclusive maths classes Kleine, Michael Mathematics in lower secondary education Lüken, Miriam M. Early mathematical education Peter-Koop, Andrea Mathematics in primary education, diagnostics and support Rottmann, Thomas Primary school teaching methodology, inclusion, learning processes Salle, Alexander Mathematics in upper secondary education,
Digital media in mathematics lessons- Analysis
Baake, Michael Harmonic analysis Banas, Lubomir Partial differential equations, optimal control Diening, Lars Regularity and existence theory of non-linear PDEs, function spaces Erbar, Matthias Partial differential equations, interacting particle systems, optimal transport Ferrari, Giorgio (Economics) Stochastic control, Optimal stopping problems Glogic, Irfan Analysis of non-linear differential equations Grigoryan, Alexander Partial differential equations on Riemannian manifolds, analysis on graphs, function theory on fractals Herr, Sebastian Real harmonic analysis, Partial differential equations Hoffmann, Werner Non-commutative harmonic analysis Hofmanová, Martina Stochastic partial differential equations Kaßmann, Moritz Analysis, integro-differential operators Röckner, Michael Stochastic partial differential equations, Fokker–Planck–Kolmogorov equations, theory of Dirichlet forms - Geometry and Topology
Baake, Michael Aperiodic order, discrete geometry Bauer, Stefan Geometry and topology Botero, Ana Maria Algebraic and arithmetic geometry (toric and tropical varieties) Bux, Kai-Uwe Groups and rooms Erbar, Matthias The geometry of metric spaces Grigoryan, Alexander Analysis and stochastics on graphs and fractals Hebestreit, Fabian Homotopy theory, differential topology Krause, Henning Triangulated categories Kühne, Lukas Geometric combinatorics, hypersurface arrangements, matroids, polytopes Lau, Eike Arithmetic geometry Lederle, Waltraud Measurable and geometric group theory, topological groups Spieß, Michael Arithmetic and algebraic geometry Vial, Charles Algebraic geometry - Numerical analysis
Banas, Lubomir Numerical methods for (stochastic) partial differential equations, optimal control Diening, Lars Numerical analysis of non-linear PDEs, function spaces - Stochastics and Statistics
Akemann, Gernot (Physics) Mathematical physics, Random matrices Baake, Ellen (Faculty of Engineering) Mathematical population genetics, stochastic methods in evolutionary biology Banas, Lubomir Numerical methods for stochastic partial differential equations Coja-Oghlan, Amin Probabilistic combinatorics, phase transitions, random matrices Ferrari, Giorgio (Wirtschaftswissenschaften) Stochastic control, optimal stopping problems, stochastic games Gentz, Barbara Random dynamical systems, Stochastic processes in the natural sciences Grigoryan, Alexander Markov processes on graphs and fractals Götze, Friedrich Probability theory, Mathematical statistics Hofmanová, Martina Stochastic partial differential equations Kaßmann, Moritz Theory of Dirichlet forms, Markov jump processes Riedel, Frank
(Economics)Mathematical financial markets, Decision fheory under uncertainty, Risk measures Röckner, Michael Stochastic analysis, stochastic partial differential equations, stochastic processes Wachtel, Vitali Probability theory, Stochastic processes, Random media Wahl, Martin Mathematical statistics, High-dimensional statistics, Statistical learning theory - Mathematical aspects of other sciences
Akemann, Gernot (Physik) Mathematical physics, Random matrices and applications Baake, Ellen (Faculty of Engineering) Biomathematics, Mathematical population genetics, Mathematical immunobiology Baake, Michael Mathematical physics, Mathematical biology, Harmonic analysis Banas, Lubomir Scientific computing, Numerical methods for stochastic partial differential equations (applied aspects) Coja-Oghlan, Amin Algorithms and complexity theory, mathematical physics of disordered systems Erbar, Matthias Interacting particle systems, optimal transport (applied aspects) Ferrari, Giorgio (Economics) Mathematical economic research, Mathematical financial markets, Stochastic control Riedel, Frank (Economics) Mathematical economic research, Mathematical financial markets, Decision theory, Game theory Wahl, Martin Statistical learning theory (links to computer science/data science)