Welcome to my webpage! I am currently professor in Universite Bretagne Occidentale, France. My main reserch area is at the intersection of probability, geometry and mathematical physics. Recently I have mainly been working on problems involving rough paths and singular stochastic PDEs. I keep 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.

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, Hugo Eulry and Nicolas Moench.

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

• 2023-2028: P.I. of the ANR Grant SMOOTH on singular SPDEs and dispersive PDEs with random initial conditions.
• 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.