## The “Queen of Sciences”

As the language of the natural sciences, mathematics is considered to be abstract, and yet it permeates many areas of everyday life. Basic research provides the foundation for numerous applications in medicine, technology, and economics.
Research fields for mathematicians therefore range from very abstract topics such as algebra, topology, and representation theory to the encryption of messages on the internet, the calculation of satellite trajectories, the simulation of chemical and physical processes, the planning and evaluation of clinical trials in medicine, and the development of new strategies for financial markets.
The Faculty of Mathematics offers a broad spectrum of research topics from basic research to applied mathematics, with the opportunity to investigate most of the issues mentioned above.

## Fields of Research

Prof. Dr. Alberto Abbondandolo

Prof. Dr. Uwe Abresch

Differential Geometry

PD Dr. Nicolai Bissantz

Statistics (mathematical and applied, in particular statistical problems in inverse problem theory, image reconstruction and application in science/IT/life sciences)

Jun.-Prof. Dr. Barney Bramham

Symplectic Geometry an Hamiltonian Systems

Jun.-Prof. Dr. Maike Buchin

Algorithms and Complexity, in particular Computational Geometry

Prof. Dr. Herold Dehling

Probability Theory and its Applications

Prof. Dr. Holger Dette

Mathematical Statistics

Prof. Dr. Peter Eichelsbacher

Stochastics and Didactics

Jun.-Prof. Dr. Sebastian Faust

Applied Cryptography, in particular, foundations of hardware cryptography, cryptocurrencies and protocol design

Prof. i.R. Dr. Hubert Flenner

Algebra and Geometry

Prof. Dr. Peter Heinzner

Transformation Groups

Prof. i.R. Dr. Dr. h.c. mult. Alan T. Huckleberry

Complex Analysis

Jun.-Prof. Dr. Sabine Jansen

Mathematical physics and applied probability, in particular: statistical mechanics and quantum many body theory, metastability, condensation phenomena in stochastic models

Prof. Dr. Eike Kiltz

Foundations of Cryptography

Prof. Dr. Gerhard Knieper

Differential Geometry and Dynamical Systems

Prof. Dr. Christian Kreuzer

Numerical Mathematics

Prof. Dr. Christof Külske

Mathematical Physics

Prof. Dr. Gerd Laures

Algebraic Topology

Prof. Dr. Gregor Leander

Design and analysis of symmetric cryptography including Block Cipher, Hash functions, and Lightweight Cryptography

Prof. Dr. Alexander May

Cryptology and IT-Security

Prof. Dr. Markus Reineke

Algebra, in particular representation theory and algebraic geometry

Prof. Dr. Gerhard Röhrle

Algebra: Lie Theory, Algebraic Groups, Representation Theory, Hyperplane Arrangements

Prof. Dr. Katrin Rolka

Beliefs; Bilingual Learning and Teaching, Conceptual Change, Student Conceptions, Qualitative and Quantitative Research Methods

Prof. Dr. Hans. U. Simon

Theoretical Computer Science: Efficient Algorithms, Complexity Theory, Combinatorial Optimization, Machine Learning, Cryptography

Prof. i.R. Dr. Uwe Storch

Algebra

Prof. Dr. Christoph Thäle

Spatial stochastics: stochastic geometry and geometric probability / point processes / limit theorems for spatial random structures

Prof. Dr. Rüdiger Verfürth

Numerical Mathematics: Numerical Solutions of Partial Differential Equations

Jun.-Prof. Dr. Markus Weimar

Numerical Analysis / (Nonlinear) Approximation Theory / Regularity Theory for Operator Equations / Function Spaces / Wavelets / High-dimensional Problems

Prof. Dr. Jörg Winkelmann

Complex Geometry