I am an assistant professor at the Mathematical Institute of Charles University.
My research is centered on convex geometry, in particular
- isoperimetric-type and other geometric inequalities,
- stochastic and integral geometry, kinematic formulas.
These two areas have origins in such famous questions of
antiquity as Dido's problem and Buffon's needle problem.
I am especially interested in the interplay between them,
where algebraic theory of valuations plays the key role.