# Research

## Biomathematics

biostatistics, statistics for life sciences, mathematical biology, statistical genetics, brain imaging, statistics for neuroscience, population dynamics, systems biology

## Analytics and Optimization

E-health, optimization of business processes, operations research, call centers, queuing theory, health care logistics, statistics

## Determinism and Randomness

probability theory, stochastics, dynamical systems, stochastic differential equations, random processes, statistical physics

## Geometric Dynamics

symplectic geometry, symmetries in dynamical systems, variational methods, spatial probability, percolation, Morse-Conley-Floer theory

## Modelling and Statistics

statistical models, partial differential equations, mathematical physics, financial mathematics, control theory, industrial mathematics

## Patterns in Complex Systems

statistics of high-dimensional data (neuro-imaging, microarrays), datamining, large systems of nonlinear differential equations, dynamics in biological networks

## Shape and Structure

Algebraic K-theory, number theory, arithmetic algebraic geometry, homotopy theory, symplectic topology, toric topology, infinite-dimensional topology, dimension theory, convex geometry.