Research

I’m interested in the study of the partial differential equations (PDE) at the heart of general relativity: the Einstein equations. My research is twofold:

  • Construction of high-frequency solutions to the Einstein vacuum equations.
  • Stability of black holes as solutions to the Einstein vacuum equations.

Publications and preprints

From most recent to oldest (the dates correspond to the preprints’ publications).

4.   High-frequency solutions to the constraint equations. (June 2022, arXiv:2206.13062) submitted.

3.   High-frequency solutions to the Einstein vacuum equations: local existence in generalised wave gauge. (June 2022, arXiv:2206.12318) submitted.   

2.   Global existence of high-frequency solutions to a semi-linear wave equation with a null structure. (September 2021, arXiv:2109.15204) Asymptotic Analysis, 131(3-4):541–582, 2023.

1.   Einstein vacuum equations with 𝕌(1) symmetry in an elliptic gauge: local well-posedness and blow-up criterium. (January 2021, arXiv:2101.09093) Journal of Hyperbolic Differential Equations, 19(04):635–715, December 2022.

Articles 2, 3 and 4 of this list constitute my PhD thesis, which starts with an introduction written in French.

Seminars and talks

2023

2022

2021

2020

  • Groupe de lecture en relativité (Sorbonne Université, LJLL, September 2020)

2019

Organization

From 2022 onwards, I’m organizing the Reading Group in General Relativity taking place each month at LJLL (Sorbonne Université). The 2022-2023 program consists in reading The linear stability of the Schwarzschild solution to gravitational perturbations by Dafermos-Holzegel-Rodnianski. If you want to join, feel free to contact me!