Ismael Bailleul's home page

Bat. 22, office 302
(+33) 02 23 23 63 69
ismael.bailleul at
Institut de recherche mathematiques de Rennes
263 Avenue du General Leclerc
35042 RENNES

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 developped a personal approach of rough paths which offers numerous perspectives, to the study of stochastic flows of maps and homogenisation problems in particular. I am also interested in the study of 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 (from 2015). Click on the following links to find the webpages of my PhD students Pierre Perruchaud and Antoine Mouzard.


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

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.

Event -- Together with J. Angst and P. Graczyk, we organise a conference on Stochastic Differential Geometry and Mathematical Physcis, 6-10 July 2020, within the 2020 Thematic Semester on Mathematical Physics, by the Henri Lebesgue Center of Mathematics -- see here the full Agenda Lebesgue.


  • 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.