Maxime Gazeau

Presentation

I am currently a post-doctoral fellow in the department of Mathematics at University of Toronto under the supervision of Catherine Sulem and Walter Craig.

Before that I was working with Christophe Besse and Guillaume Dujardin.

I completed my PhD in october 2012 at the center of Applied Mathematics (CMAP, UMR 7641 Ecole Polytechnique CNRS) under the supervision of Anne de Bouard.

Research interests

Stochastic partial differential equations (SPDEs): Existence and uniqueness, wave propagation in dispersive and nonlinear medium, random perturbations.

Asymptotic analysis: Approximation diffusion theory, weak convergence of probability measures.

Stochastic numerical analysis: Strong order of convergence for nonlinear SPDEs, conservative schemes, numerical simulations.

Nonlinear optics: Birefringence, polarization mode dispersion (PMD), soliton propagation, rogue waves in birefringent fibers.

Monte Carlo methods: Adaptive multilevel splitting for rare events simulations.

Water waves equation. To learn more.