- Singular SPDEs
- Paracontrolled calculus
- Stochastic Quantization
- Variational methods
PhD in Mathematics
University of Rennes
Masters degree in Pure Mathematics
University of Rennes
Agrégation de Mathématiques
ENS Rennes
- May 2025, ANR ADA Conference, Lyon
- February 2025, DynQua Conference 2025, Angers
- November 2024, Journées EDP Auvergne-Rhône-Alpes, LJK Grenoble
- June 2025, ANR Smooth Conference, Lyon
- November 2025, Probability, Analysis and Mathematical Physics, Nanterre
I am mostly interested in the study of singular SPDEs using the tools from paracontrolled calculus. I defended my PhD thesis “Anderson stochastic quantization and paracontrolled calculus : stochastic PDEs in a singular environment.” in June 2024. Some of the results obtained during my PhD include:
- a fine comparison property between the Green functions of the Anderson Hamiltonian and the usual Laplace Beltrami operator;
- a variational construction of an invariant measure to the polynomial $\Phi_2$ model driven by the Anderson operator;
- a global solution theory for the same model starting from deterministic rough data;
- probabilistic properties of the dynamics.
Starting from September 2024, I work on related topics at UMPA, ENS Lyon, under the supervision of Nikolay Tzvetkov.
Ergodicity of the Anderson $Φ^4_2$ model 2025
We consider the parabolic stochastic quantization equation associated to the $\Phi^4_2$ model on the torus in a spatial white noise environment. We study the long time behavior of this heat equation with independent multiplicative white noise and additive spacetime white noise and prove convergence towards a unique invariant measure.
Non-local quasilinear singular SPDEs 2024
We study a counterpart to the quasilinear generalized parabolic Anderson model on the 2-dimensional torus where the coefficients are nonlocal functionals of the solution.
Anderson stochastic quantization equation 2024
H. Eulry - A. Mouzard - T. Robert
We study the parabolic defocusing stochastic quantization equation with both mutliplicative spatial white noise and an independant space-time white noise forcing, on compact surfaces, with polynomial nonlinearity.
Variational methods for some singular stochastic elliptic PDEs 2022
I. Bailleul - H. Eulry - T. Robert
We use some tools from nonlinear analysis to study two examples of singular stochastic elliptic PDEs that cannot be solved by the contraction principle or the Schauder fixed point theorem.
- May 2025, Journée d’équipe, ENS Lyon
- March 2025, Journée jeunes analystes et modélisateurs, ICJ Lyon.
- March 2025, Institut Denis Poisson seminar, Orléans.
- Februray 2025, DynQua Conference 2025, Angers.
- November 2024, Journées EDP Auvergne-Rhône-Alpes, LJK Grenoble.
- June 2024, Analysis seminar, IECL Nancy.
- January 2024, Nicolas Perkowski’s team seminar, Freie Universität, Berlin.
- October 2023, Landau seminar, IRMAR, Rennes.
- October 2023, ANR Smooth Workshop, Institut Elie Cartan de Lorraine, Nancy.
- October 2022, Nicolas Perkowski’s team seminar, Freie Universität, Berlin.
- May 2022, ”Rough paths, stochastic partial differential equations and related topics” seminar, Technische Universität, Berlin.