Research interests
- Integral Geometry (Valuations, Kinematic formulas)
- Finsler Geometry (Holmes-Thompson and Busemann volumes, Hilbert geometries)
- Riemannian geometry (in particular, questions related to curvature)
- Geometric inequalities (isoperimetric inequality, Brunn-Minkowski, Blaschke-Santaló, Alexandrov-Fenchel, Mahler conjecture etc.)
- Geometric Measure Theory (Legendrian cycles, Metric Measure Theory)