I am assistant professor (équivalent maitre de conférences) at Ecole Polytechnique, in the department of applied mathematics. I am part of the CMAP.

Reasearch interests

I am mainly interested in the study of nonlinear partial differential equations and dynamical systems, both from an analytical and a numerical point of view. I particularly enjoy problems where both approaches can be combined, leading to computer-assisted proofs.

Keywords: Partial Differential Equations, Dynamical Systems, Approximation Theory, A Posteriori Error Analysis, Computer-Assisted Proofs, Fluid Mechanics, Kinetic Theory, Coagulation-Fragmentation Equations, Cross-Diffusion Systems, Uncertainty Quantification...

I spent my doctoral studies both at the ENS Cachan and Unversité Laval (Canada), under the co-supervision of Laurent Desvillettes and Jean-Philippe Lessard. I defended my PhD thesis, entilted "Partial differential equations and dynamical systems applied to problems coming from physics and biology", on July 10, 2017, at ENS Cachan.

I was then a postdoc at the Technical University of Munich, where I worked in the group of Christian Kuehn.

Contact

Address:

84.20.30

maxime.breden[at]polytechnique.edu