Maxime Breden

Maxime Breden is a tenured Assistant Professor in the Department of Applied Mathematics at Ecole Polytechnique, France, where he is part of the CMAP research center. His work focuses on the analytical and numerical study of nonlinear PDEs and dynamical systems, with a particular emphasis on combining both approaches to develop computer-assisted proofs. Breden holds a PhD in Mathematics from ENS Cachan (France) and Université Laval (Canada), co-supervised by Laurent Desvillettes and Jean-Philippe Lessard. Prior to his current role, he completed a postdoctoral fellowship at the Technical University of Munich under Christian Kuehn's supervision.

His research interests span nonlinear partial differential equations, dynamical systems, and numerical analysis. A key theme is leveraging computational methods to rigorously validate solutions and analyze complex systems, such as reaction-diffusion models in biology and physics, pattern formation, and fluid dynamics. His work frequently integrates advanced numerical techniques with theoretical analysis to ensure mathematical rigor.

Breden's recent work emphasizes computer-assisted proofs for nonlinear systems, including studies of Turing instability in heterogeneous media, bifurcation analysis in stochastic flows, and validated numerical methods for PDEs. He has presented his research at leading conferences such as SIAM DS 23 and FoCM 2023.

While no specific student or grant information is detailed in the provided text, his academic trajectory reflects a strong focus on interdisciplinary research at the intersection of pure and applied mathematics.