• APPELL, Prof. Dr. Jürgen
    Geometric Analysis 
  • BORZI, Prof. Dr. Alfio
    Scientific Computing
    • Numerical solution of PDE optimization problems
    • Development and analysis of multigrid methods
    • Analysis of discretization schemes for partial differential equations
    • Simulation and optimization with uncertainty
    • Analysis and control of quantum systems
    • Modeling and simulation of bio-chemical and life science processes
    • Image analysis and inverse problems
    • Modeling and control of multi-agent differential systems
    • Stochastic differential models
    • Fokker-Planck equations and related control problems 
  • DASHKOVSKIY, Prof. Dr. Sergey
    Dynamical Systems and Control Theory
    • Nonlinear systems theory
    • Stability of nonlinear systems
    • Large scale interconnected systems
    • Infinite-dimensional systems
    • Hybrid and impulsive systems
    • Input-to-state stability
    • Mathematical modeling with differential equations 
  • DIRR, Dr. Gunther
    Non-linear Control Theory
    • Bilinear and non-linear systems
    • Quantum control
    • Ensembe controllability
    [Research]  [Publications] 
  • DOBROWOLSKI, Prof. Dr. Manfred
    Applied Analysis 
  • FALK, Prof. Dr. Michael
    Mathematical Statistics
    Research Interests: extreme value analysis, i.e., the analysis of large observations, in particular of large multivariate observations
  • FISCHER, Prof. Dr. Tom
    Financial Mathematics
    The main research focus of this working group lies on structural models under systemic risk. Of particular interest are:
    • Structural models of financial networks
    • Existence and uniqueness of price equilibria in financial networks
    • Distributional effects of asset cross-ownership
    • Financial contagion
    • Efficient valuation algorithms in financial networks
  • GÖB, Prof. Dr. Rainer
    Industrial Statistics
    • Acceptance Sampling, Audit Sampling, Control Sampling
    • Statistical Process Monitoring 
  • GRAHL, PD Dr. Jürgen
    Complex Analysis
    • Normal and quasi-normal families
    • Value distribution of entire and meromorphic functions, Nevanlinna theory, uniqueness problems
    • Bloch's Principle
  • GRIESMAIER, Prof. Dr. Roland
    Inverse Problems
    • Inverse and ill-posed problems
    • Inverse acoustic and electromagnetic source and scattering problems
    • Electrical impedance tomographie
    • Numerical methods for acoustic and electromagnetic wave propagation
  • GRUNDHÖFER, Prof. Dr. Theo
    • Tits buildings and groups, in particular generalized polygons with homogeneity conditions
    • Topological geometry
    • Nearfields 
  • HAHN, Prof. Dr. Bernadette
    Mathematical 4D Microscope Modelling, Image Analysis and Data Processing
    • Time-dependent inverse problems
    • Theory and algorithms for imaging methods
    • Image and data analysis 
  • HENNECKE, Prof. Dr. Martin
    Didactics of Computer Science
  • HÜPER, Prof. Dr. Knut
    Applied Differential Geometry
    • Optimization on smooth manifolds
    • Robotics
    • Computer Vision
    • Nonholonomic systems
  • KANZOW, Prof. Dr. Christian
  • KLINGENBERG, Prof. Dr. Christian
    Mathematical Fluid Mechanics
    • compressible gas dynamics, magnetohydrodynamics
    • kinetic modeling, modeling plasma and mixtures
    • modeling macroscopic fluid flow equations via microscopic interacting particle systems
    • theory of hyperbolic conservation laws: well-posedness, relaxation limits, discontinuous flux conservation laws, kinetic formulation
    • numerics for hyperbolic conservation laws: finite volume schemes, approximate Riemann solvers, discontinuous Galerkin methods, moving mesh methods
    • well-balanced schemes applied to shallow water system with temperature gradients (Ripa system) and Euler equations with gravity
    • astrophysical applications: accretion discs, protostellar jets, turbulence modeling, large eddy simulations, star formation, galaxy formation  
  • KRAUS, PD Dr. Daniela
    Geometric Analysis
    • geometric partial differential equations
    • conformal metrics
    • critical points of holomorphic functions
  • MAROHN, Prof. Dr. Frank
    Mathematical Statistic
  • MÜLLER, Prof. Dr. Peter
  • ROTH, Prof. Dr. Oliver
    Complex Analysis
    • Geometric Function Theory
    • Complex and Conformal Geometry
    • Banach and Hilbert spaces of holomorphic functions
    • Loewner Theory
    [Research]  [Publications] 
  • SCHLÖMERKEMPER , Prof. Dr. Anja
    Mathematics in the Sciences
    • Calculus of variations
    • Partial Differential Equations
    • Multiscale methods
    • Fields of application: magnetoelastic solids and fluids; elasticity theory; shape memory alloys; fracture ...
    [Research]  [Publications] 
  • SILLER , Prof. Dr. Hans-Stefan
    Didactics of Mathematics
    The didactics of mathematics addresses teaching and learning of mathematics. In the course of this, the understanding of mathematics is not a simple accumulation of knowledge but an activity and an attitude.
    In Würzburg, the didactics of mathematics especially focuses on the following research areas:
    • The teaching and learning of mathematical conceptualization
    • The significance of innovative technologies for the teaching and learning of mathematics, especially with regard to the use of digital tools (e.g. hand-held-calculators in mathematics classrooms or creating online-textbooks)
    • The development of web-based material for pre-service-teacher-training
    • The development of a mathematics laboratory
    • The progress of mathematics classes in primary schools
    • Mathematical modelling in class
    • Assessment in mathematics class 
  • STEUDING, Prof. Dr. Jörn
    Number Theory
    The Number Theory working group investigates various topics in analytic, elementary, and algebraic number theory; the recent focus is on:
    • value distribution of the Riemann zeta-function and other L-functions (incl. distribution of zeros, order of growth, universality),
    • complex continued fractions (by means from ergodic theory),
    • Algebraic Graph Theory (Ramanujan graphs, Ihara's zeta-function),
    • History of Number Theory. 
  • WACHSMUTH, Prof. Dr. Daniel
    Optimal control of partial differential equations
    • Focus on non-smooth and non-convex problems
    • Regularization techniques and numerical analysis
    • Algorithms to compute approximate solutions
  • WALDMANN, Prof. Dr. Stefan
    Mathematical Physics
    At the chair "Mathematical Physics" we work mainly within pure mathematics concerning questions from classical geometric mechanics and quantum theory. In particuar, we are interested in the transition from classical physics to quantum physics. Not very precisely, this is usually called quantization, even though there is neither a generally accepted way nor conditions on such a proceedure. This lack of a clear physical requirement makes it an ideal field for mathematical physics, as here one can analyse the relevant structures and physical ideals by mathematical means to obtain precise suggestions in form of general existence and classification results on quantization. Questions on physical interpretations of the results complete our work.

    In detail, we work on the following topics:
    • Differential geometric formulations of mechanics within symplectic and Poisson geometry including the study of Poisson algebras.
    • Algebraic formulations of symmetries and phase space reduction.
    • Deformation quantization and star products, Quantization of phase space reduction.
    • Morita equivalence of *-algebras, in particular those from deformation quantization.
    • Representation theory of obsevable algebras in deformation quantization.
    • Convergence of formal star products and analysis of the classical limit.
    • Star products in infinite dimensions.
    • Applications of deformation quantization in noncommutative geometry.
    [Research]  [Publications] 
  • WEIGAND, Prof. Dr. Hans-Georg
    Didactics of Mathematics  
  • ZILLOBER, PD Dr. Christian
    Nonlinear Programming
    • Structural optimization
    • Topology optimization
    • Interior point methods
    [Research] [Publications]