Professor at the LPSM (Laboratoire de Probabilités, Statistique et Modélisation), at Sorbonne Université
Member of the Dynamics, probability, geometry team
Mail :
Postal address : Sorbonne Université, LPSM – 4, place Jussieu – F-75005 Paris
Office : 16-26 120


In Master 1 : Probabilités approfondies – UE MU4MA011
In Master 2 : Convergence de mesures, Grandes déviations, Percolation (CGP)

I am deputy director of the Master of mathematics, in charge of the M1.


Research topics

My work is related, more or less directly, to the probabilistic study of gauge theories, on a two-dimensional Euclidean space-time or on graphs. I have studied the Yang-Mills measure on surfaces, its semi-classical limit, its “large N” limit. In the last few years, I have been interested in the geometry and statistical physics of graphs with a vector bundle and a connection.

In my work, I use parts of the differential geometry of principal bundles, the representation theory of classical compact Lie groups and symmetric groups, the theory of large random matrices, non-commutative probability, in particular free probability, the theory of determinantal point processes. I have occasionally used potential theory in the complex plane and large deviations.

Among the things I have not yet worked with, I am particularly interested in Chern–Simons theory and the Wess–Zumino–Witten model, quantum deformations of the Yang–Mills measure, the theory of regularity structures.

  • The number of prefixes of minimal factorisations of a cycle. Electron. J. Combin, 23 (2016) no. 3.
  • Topological quantum field theories and Markovian random fields. Bull. Sci. Math., 135 (2011) no. 6-7, 629–649.
  • Construction et étude à l'échelle microscopique de la mesure de Yang–Mills sur les surfaces compactes. C. R. Math. Acad. Sci. Paris, 330 (2000) no. 11.