Research Interests

In general I am interested in high-dimensional phenomena at the crossroads between analysis, geometry and probability theory.

1. Geometric Functional Analysis
   • Geometry of convex bodies and random convex sets
   • Local theory of Lp spaces
   • Structure of Operator ideals and matrix spaces
   • Geometry of projective tensor products
   • s-Numbers of compact operators
2. Probability Theory
   • Non-asymptotic theory of random matrices
   • Limit theorems and Large deviations for geometric structures
   • Large deviations for lacunary series
   • Order statistics 
3. Information-based Complexity
   • High-dimensional numerical integration
   • Dispersion of point sets
   • Random Information in approximation problems