Research interests

I study the Einstein equations of general relativity. My general goal is to understand the long time behaviour (local/global existence, stability) of the solutions to the associated Cauchy problem. During my PhD (under the supervision of Jérémie Szeftel), I obtained results when part of the initial data for the Cauchy problem are prescribed on characteristic hypersurfaces. In my post-doc with Gustav Holzegel, I started working on the (in)stability of the Kerr-anti-de Sitter family of black holes.

Publications and preprints

• with Gustav Holzegel: Mode stability results for the Teukolsky equations on Kerr-anti-de Sitter spacetimes, Class. Quantum Grav. 40, 4 (2023), 43 pages, arXiv, journal.
• Global nonlinear stability of Minkowski space for spacelike-characteristic initial data, submitted, October 2020, 252 pages, arXiv.
• with Stefan Czimek: The spacelike-characteristic Cauchy problem of general relativity in low regularity, Ann. PDE 8, 22 (2022), 63 pages, arXiv, journal.
• with Stefan Czimek: The canonical foliation on null hypersurfaces in low regularity, Ann. PDE 8, 23 (2022), 77 pages, arXiv, journal.

Miscellaneous

• Le problème de Cauchy spatial-caractéristique avec courbure L² en relativité générale, proceedings of the Séminaire Laurent Schwartz (here is a link).
• Les défis mathématiques des équations d'Einstein, article dans la revue publiée pour le 22ème Salon Culture et Jeux Mathématiques.
• Ma thèse dans Tangente, article pour l'édition de Janvier-Février 2022 du magazine Tangente, en partenariat avec la SMF.
• The manuscript of my PhD thesis.
• A short CV in french.