Professors at the Department of Mathematics

NAME	DEDICATION	RESEARCH INTERESTS	SELECTED LECTURES
Institute of Algebra
Baumann, Ulrike Prof. Dr.	Mathematics / Discrete Structures	• Automorphism Groups of Graphs • Cayley Graphs • Algebraic Methods of Cryptology	• Discrete Structures • Algebraic Graph Theory • Graph Theory • Cryptology
Ganter, Bernhard Prof. Dr.	Algebraic Theory of Structures	• Formal Concept Analysis • Ordered sets and lattices • Algebraic and discrete structures	• Conceptual structures • Order theory • Discrete mathematics
Pöschel, Reinhard Prof. Dr.	Universal Algebra	• Universal Algebra • Algebraic Combinatorics • Clones of Operations and Relations	• Universal Algebra • Function and Relation Algebras • Permutation Groups • Category Theory
Schmidt, Stefan E. Prof. Dr.	Methods of Applied Algebra	• General geometric algebra • Algebraic theory of measurement and data analysis • Algebraic modeling via graphs, categories, weightings, semirings, convolutional structures • Algebraic methods in interdisciplinary research	• Algebraic structures and their applications • Algebraic modeling and categories • Methods of applied algebra • Mathematics, music, communication
Institute of Analysis
Chill, Ralph Prof. Dr.	Functional Analysis	• Functional analysis • Linear and nonlinear evolution equations • Semigroups of operators • Parabolic and hyperbolic partial differential equations	• Functional analysis • Operator theory • Evolution equations • Partial differential equations
Schuricht, Friedemann Prof. Dr.	Nonlinear Analysis	• Nonlinear Analysis • Calculus of Variations • Differential Equations • Continuum Mechanics	• Partial Differential Equations • Calculus of Variations • Functional Analysis • Geometric Measure Theory
Siegmund, Stefan Prof. Dr.	Dynamical Systems and Control	• Dynamical Systems • Differential Equations • Control Theory • Lagrangian Coherent Structures	• Dynamical Systems • Evolution Equations • Control Theory • Functional Analysis
Timmermann, Werner Prof. Dr.	Analysis	• Algebras of Unbounded Operators • Preservers in Algebras of Bounded Operators • Quantum Structures	• Representation Theory for Groups • Functional Analysis • Ergodic Theory • Mathematical Foundations of Quantum Physics
Institute of Geometry
Brehm, Ulrich Prof. Dr.	Geometry / Algorithmic, Computational and Convex Geometry	• Convex Geometry • Discrete Geometry • Combinatorial Topology • Geometric Algebra	• Convex Geometry • Differential Geometry • Algebraic Topology • Non-Euclidean Geometry
Lordick, Daniel Prof. Dr.-Ing.	Constructive and Descriptive Geometry	• Architectural Geometry • Discrete Differential Geometry • Geometry and Art	• Descriptive Geometry • Constructive Geometry • Application of CAD and Rapid Prototyping
Institute of Mathematical Stochastics
Ferger, Dietmar Prof. Dr.	Mathematical Statistics	• Asymptotic Statistics • Empirical Processes and Stochastic Optimization • Irregular Statistical Eexperiments • Stochastic Processes with Structural Breaks	• Stochastic Processes with Structural Breaks • Functional Limit Theorems
Sasvári, Zoltán Prof. Dr.	Stochastic Models / Reliability, Asymptotics	• Positive Definite Functions and their Generalizations • Characteristic Functions of Probability Theory • Stationary and Intrinsically Stationary Processes	• Stationary Processes • Multidimensional Characteristic Functions • The Classical Limit Theorems of Probability Theory • Measure and Integral on Locally Compact Groups • Probability Theory
Schilling, René Prof. Dr.	Probability Theory	• Stochastic Analysis • Jump Processes • Stochastic (Partial) Differential Equations • Pseudo Differential Operators	• Stochastic Calculus • Stochastic Analysis (Malliavin Calculus) • Lévy Processes • Operator Semigroups
Schmidt, Klaus D. Prof. Dr.	Actuarial Mathematics and Risk Theory	• Non-Life Insurance Mathematics • Linear Models • Loss Reserving • Credibility Theory	• Non-Life Insurance Mathematics • Probability Theory • Measure Theory and Integration • Hilbert Space Methods in Probability and Statistics
Institute of Numeric Mathematics
Eppler, Karsten Prof. Dr.	Numerics of Optimal Control	• Optimization Theory • Optimal Control of PDEs • Shape Optimization • Numerics for Integral Equations	• Optimal Control for Elliptic PDE • Shape Optimization for Elliptic PDE
Fischer, Andreas Prof. Dr.	Numerical Optimization	• Nonlinear Optimization and Applications • Complementarity Problems and Variational Inequalities • Nonsmooth and Degenerate Problems • Machine Learning and Applications	• Continuous Optimization • Discrete Optimization • Optimization and Data Classification
Roos, Hans-Görg Prof. Dr.	Numerical Methods of Partial Differential Equations	• Singular Perturbations • Convection-Diffusion-Equations • Finite Element Methods • Robust Discretization	• Numerical Methods for PDE's • Finite Element Methods • Numerical Methods for Singular Perturbed Problems • Wavelets
Institute of Scientific Computing
Padberg-Gehle, Kathrin Jun.-Prof. Dr.	Junior Professorship in Applied Mathematics	• Dynamical Systems • Computational Dynamics • Transport Processes • Modelling	• Computational Dynamics
Axel Voigt, Prof. Dr.	Scientific Computing and Applied Mathematics	• Multiscale Problems in Materials and Bio-Science • Modelling, Analysis and Numerics for nonlinear PDEs • Software Development for Adaptive Finite Elements • High Performance Computing	• Modelling and Simulation • Phase-Field-Crystal Modelling
Wolfgang Walter, Prof. Dr.	Applied Discrete Mathematics	• Numerics with Automatic Result Verification • Interval Mathmatics • Computational Arithmetics • Programming Languages for Scientific Computing
Wensch, Jörg Prof. Dr.	Senior Lectureship in Scientific Computing	• Atmospheric Flow • Finite Volume Methods • Hyperbolic Differential Equations • Time Integration of Ordinary and Semidiscretized PDE	• Time Integration of Nonstiff Systems • Time Integration of Stiff Systems • Numerical Solution of Hyperbolic Differential Equations • Geometric Integration and Hamiltonian Systems
Chair of Mathematics Education
Deschauer, Stefan Prof. Dr.	Didactics of Mathematics	• Didactic Analysis of Essential Ideas and Concepts in Mathematics Education (Gymnasium, Vocational School) • History of Mathematics in a Didactic View	• New Media in Mathematics Education (Gymnasium, Vocational School) • Didactics of Essential Fields in Secondary Education (Sekundarstufe II) • Study Workshop ("Lernwerkstatt") for Studying Activated by Activities in Secondary Education (Sekundarstufe I)

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Professors at the Department of Mathematics

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