# Ronan Herry

• #### Current projects

With N. Gozlan, Multi-marginal transport and higher order functional inequalities.

With G. Peccati, Universality for the limit of super-concentrated random variables.

• #### Short bio

In , I graduated with great honours in the master program in analysis and probability of the Université Paris Dauphine. During that program I had the opportunity to confirm my knowledges in the classical theory of stochastic calculus and PDE through advanced lectures. I also got familiar with some research subjects in that field. In particular, I had the occasion to work with D. Chafaï on Bakry-Emery $\Gamma$-calculus in sub-Riemannian geometry (a subject I discovered by pure randomness during a school at IHP).
More particularly, I was interested in the log-Sobolev inequality on the simplest non-trivial Carnot group: the Heisenberg group. Since the standard technique of $\Gamma$-calculus could not work and that direct computations do not lead to an optimal constant, I adapted an argument of L. Gross based on an exact log-Sobolev inequality on the two-points space. The non-commutativity yields a weighted gradient.

N. Gozlan and G. Peccati offered me to keep on working in the field of functional inequalities as a PhD student co-supervised by the two of them. Roughly speaking, I try to understand the geometry of (eventually non-smooth) spaces (graphs, infinite dimensional spaces from probability theory, sub-Riemannian manifolds). To that extend, I study:

• the classical (Gaussian) and less classical (Poisson, Rademacher) infinite dimensional stochastic analysis;
• the geometry of Markov generators and their chaos;
• optimal transport and functional inequalities (concentration, log-Sobolev, isoperimetric, super-concentration);
• geometric measure theory and metric differential calculus (heat equation on metric spaces).

Since I arrived in Luxembourg, I also gained interest, at the heuristic level, in free probability and the geometry used in physical mathematics.

You can find a more detailed curriculum on my LinkedIn page.

• #### Other duties

Since , together with my friend François Petit, I co-organise the PhD Seminar of the mathematics department of the University of Luxembourg.

Since , I animate a regular working group on functional inequalities and the KLS and Variance conjecture (page web under construction).

Since , I am in charge of tutorial sessions in linear algebra for first year students.

Since , I organise a workshop in probability where people of the research group explain their current work.