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Hello! I am a postdoctoral researcher at INSA Rouen Normandie. I defended my Ph.D. on the 15th of december 2022, under the supervision of Hasnaa Zidani and Frédéric Jean. The subject of my thesis is to study optimal control problems and Hamilton-Jacobi equations in certain classes of metric spaces (CAT(K) spaces, 2-Wasserstein spaces over Riemannian manifolds, sets of positive reach,...). The main result of my thesis is the introduction of a new framework that allows to study viscosity solutions of first order Hamilton-Jacobi equations, in a unified way, on all the above examples of metric spaces, which, roughly, fall under the category of geodesic spaces with one curvature bound in the sense of Alexandrov.


Download my Résumé.


Download my Ph.D manuscript.