I am working in the field of **Stochastic analysis**, **Functional inequalities** and **Optimal transport**.
My main theme of research is the use of Malliavin, semigroup and optimal transport techniques to study functional inequalities and limit theorems for probabilistic infinite dimensional models.
Namely I combine techniques from:

- Stochastic analysis for random measures.
- Random point processes and stochastic geometry.
- Malliavin-Stein approach and limit theorems.
- Functional inequalities for Markov semigroups à la Bakry-Emery.
- Transport inequalities, concentration of measure, log-Sobolev type inequalities.
- Heat kernels, Laplace operators and Ricci curvature on graphs and sub-Riemannian manifolds.

More broadly, I am also interested with many aspects of modern probability such as free probability, rough paths, regularity structures, SPDEs, random geometry, interacting particle systems and their interplays with my field of expertise.