Research interests :
- Probability, isoperimetry, concentration of measure, superconcentration phenomenon.
- Functional inequalities (Logarithmic Sobolev, Poincaré,…).
- Analysis, heat kernels, functional inequalities, geometry of Markov semigroups.
- Statistical mechanics, spin glasses, Gibbs measures.
- Gaussian measures and processes, probability in Banach spaces, convexity.
- Branching random walk, Gaussian Free Field.
- Stein method.
- Optimal transport and Information inequalities.
- Generic chaining and study supremum of processes.