My research lies at the intersection between probability, geometry and analysis. In particular, I study functional inequalities for hypoelliptic operators (both in finite-dimensional and infinite-dimensional settings), such as logarithmic Sobolev inequalities, Poincaré inequalities, etc.

 

Papers:

• Logarithmic Sobolev inequalities on non-isotropic Heisenberg groups: with M. Gordina, arxiv, Journal of Functional Analysis, 2022.