Welcome to my webpage! I am currently associate professor (maitre de conference, HDR), in Universite Rennes 1, France. My main reserch area is at the intersection of probability, geometry and mathematical physics, with a particular interest in the study of hypoelliptic diffusions, including a class of diffusions intrinsically associated with any relativistic spacetime, called relativistic diffusions. I have also been involved in the study of Smoluchowski coagulation equation, which describes the macroscopic evolution of some interacting particle system. In the recent years, I have developed a personal approach of rough paths and I have been working on singular stochastic PDEs, for which I have taken part to the development of the paracontrolled approach to the subject.

Click here for a brief CV. Click on the following links to find the webpages of my present or former PhD students Pierre Perruchaud, Antoine Mouzard and Hugo Eulry.

Keywords

• Singular PDEs, paracontrolled calculus, regularity structures
• Rough paths, mean field stochastic rough differential equations, rough dynamics on paths space, rough flows
• Stochastic differental geometry, Lorentzian geometry
• Sub-Riemannian geometry, Malliavin calculus
• Particle systems, coupling method, nonlinear Markov processes

Scientific publishing -- The Annales Henri Lebesgue is a generalist journal of mathematics, fully open access and free of author charges. This non-profit journal is supported by public institutions. It publishes high-quality articles from any area of mathematics, from the most applied to the most abstract, with the aim of highlighting beautiful mathematical inventions.

Grants

• 2019-2022: Member of the GdR TRAG on rough paths theory and related topics.
• 2018-2021: Member of the GdR Renorm on renormalisation.
• 2017-2021: P.I. of the ANR Grant SINGULAR.
• 2011-2015: P.I. of the ANR Grant "Retour Post-doctorant", 11-PDOC-0025.