- Convex Geometry and Integral Geometry
Support Measures and their generalizations, translative integral geometry, projection functions, zonoids, geometric and functional inequalities, stability results, valuations (additive functionals), tensor functionals and applications, geometric measures theory and fractals
- Stochastic Geometry
Stationary and non-stationary random stes und point processes, measures of direction of random sets, associated bodies and zonoids, contact distributions, random tessellations, hard-core particle processes, random polytopes and limit theorems, random fields and Gaussian processes