PhD student (fourth-year) at Laboratoire Jacques-Louis Lions.

I am working under the supervision of Jérémie Szeftel.

firstname.lastname at upmc.fr

Office 15-16-301

Laboratoire Jacques-Louis Lions

Sorbonne Université

4, place Jussieu, 75252 Paris Cedex 05

A short CV can be found here

I am interested in mathematical general relativity with particular emphasis at low-regularity solutions of the Einstein equations. My work is in connection with the bounded `L ^{2}` curvature theorem and uses the techniques developped around this result : nonlinear evolution and elliptic PDEs at low regularity, geometry of spacelike and null hypersurfaces, the framework of the proof of the nonlinear stability of Minkowski by Christodoulou-Klainerman. I am also interested in trapped surface formation mechanism.

- "Le problème de Cauchy spatial-caractéristique avec courbure
`L`en relativité générale", proceedings of the Séminaire Laurent Schwartz, 2019.^{2}

It gives a (PDEist-friendly) introduction and overview of the two papers below. - (with Stefan Czimek) "The spacelike-characteristic Cauchy problem of general relativity in low regularity" arXiv:1909.07355
- (with Stefan Czimek) "The canonical foliation on null hypersurfaces in low regularity" arXiv:1909.07345

**The spacelike-characteristic bounded**`L`curvature theorem:^{2}- 10th Central European Relativity Seminar, Potsdam-Golm, February 2020
- Séminaire Laurent Schwartz de l'Ecole polytechnique, November 2019
- Seminar on mathematical general relativity, Laboratoire Jacques-Louis Lions, May 2019

- Reading group on the article "Causal geometry of Einstein-vacuum spacetimes with finite curvature flux" (by Sergiu Klainerman and Igor Rodnianski) (October 2019, General relativity reading group, LJLL)
- "Low regularity characteristic Cauchy problem in general relativity" (June 2019, PhD seminar, LJLL)
- "Bootstrap techniques for nonlinear equations" (October 2018, PhD mini-courses, LJLL)
- Reading group on the article "Characterisation of the energy of gaussian beams on lorentzian manifolds - with applications to black holes spacetimes" by Jan Sbierski (here is a link) (October 2018, General relativity reading group, LJLL)
- Reading group on the article "A global analysis proof of the stability of Minkowski and the polyhomogeneity of the metric" by Peter Hintz and András Vasy (here is a link) (January 2018, General relativity reading group)
- "Spherical harmonics, weighted Sobolev spaces and Poisson's problem" (November 2017, PhD mini-courses, LJLL)
- "Well-posedness results for nonlinear wave equations in low regularity" (March 2017, PhD seminar, LJLL)
- "Some shocks and explosions phenomena in semilinear and quasilinear wave equations" (February 2017, PhD mini-courses, ENS)
- "Physical motivations for the Einstein Equations" (November 2015, PhD mini-courses, ENS)

Here is the web page of the reading group in general relativity that Cécile Huneau and I organise.

I was the organiser of a monthly two hours mini-course by/for PhD students in analysis of PDE topics at the Laboratoire Jacques-Louis Lions.

A more precise description and list of talks for the years 2017-2018 can be found here .
The new organisers are Ludovic Godard-Cadillac and Fatima-Ezzahra Jabiri.

During my PhD I have been a teaching assistant at Sorbonne Université for the following courses

- Sequences, series and improper integrals (Second year undergraduate)
- Topology and differential calculus (Third year undergraduate)
- Functional analysis (Third year undergraduate)
- Linear Algebra (First year undergraduate)