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 assistant professor (maitre de conference), 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 (homogeneous or not), which describes the macroscopic evolution of some interacting particle system. I have recently developped a personal approach of rough paths which offers numerous perspectives, to the study of stochastic flows of maps and homogenisation problems in particular. Motivated by some questions about Yang-Mills theory, I have also started looking at some problems on singular stochastic PDEs.
(Click here for a brief CV .)

Applications for a two year post-doc position on singular PDEs, to be started between Sept. 1st 2017 and March 1st 2018, are open. Applicants should have a strong background in analysis, probability, or theoretical physics. Only applicants with a PhD defended after Sept. 1st 2014can apply. The application should contain: a CV (including publication list), at least one recommendation letter, a scan of your PhD diploma.

Anyone interested in applying to an Indiviual Fellowship (= postdoc position) from the ERC to work on singular PDEs is also welcome to contact me. The ERC call ends Sept. 14, 2017, so contact should be taken no later than end of June 2017. Only applicants with a strong background in analysis, probability, or theoretical physics will be considered.


  • 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


  • 2017-2021: ANR Grant SINGULAR
  • 2011-2015: ANR Grant "Retour Post-doctorant", 11-PDOC-0025.