From September 2015 to January 2018 I was a post-doc in the Geometry group of the Université Libre de Bruxelles, under the supervision of Joel Fine.
From September 2011 to August 2015 I prepared my Ph.D at the University of Cergy-Pontoise under the supervision of O. Druet et E. Hebey.
Nonlinear Analysis -- Riemannian Einstein metrics -- Constraint equations in General Relativity
In English, with a list of the talks I have given and a teaching record. Link.
Publications in peer-reviewed journals
(With J. Vétois) Compactness of sign-changing solutions to scalar curvature-type equations with bounded negative part, 36 pages, 2018. Accepted for publication in the Journal of Differential Equations. File.
(With J. Fine) Examples of compact Einstein four-manifolds with negative curvature, 57 Page, 2018. Submitted. arXiv:1802.00608.
(With P.D. Thizy) Bubbling above the threshold of the scalar curvature in dimensions four and five, 41 pages, 2017. Accepted for publication in Calculus of Variations and PDEs. hal-01805092
A pointwise finite-dimensional reduction method for Einstein-Lichnerowicz-type systems: the six-dimensional case, Nonlinear Anal. 172 (2018), pp. 200–215. File
A pointwise finite-dimensional reduction method for a fully coupled system of Einstein-Lichnerowicz type, Communications in Contemporary Mathematics 20 (2018), no. 6, 1750076, 72 pp. arXiv:1605.05468.
(With J. Wei) Non-compactness and infinite number of conformal initial data sets in high dimensions, Journal of Functional Analysis 270 (2016), no.2, 718-747. arXiv:1505.02806
Stability and instability of the n-dimensional Einstein-Lichnerowicz constraints system, International Mathematics Research Notices, Vol. 2016 no.8, 1951-2025. arXiv:1502.04233
(With O. Druet) Stability of the Einstein-Lichnerowicz constraint system, Matematische Annalen 362 (2015), no.3, 839-886. arXiv:1312.6574
Effective multiplicity for the Einstein-calar field Lichnerowicz equation, Calculus of Variations and Partial Differential Equations 53 (2015) no.1, 29-64. arXiv:1307.2416
The Einstein-scalar field constraint system in the positive case, Communications in Mathematical Physics 326 (2014), no. 2, 543-557. arXiv:1301.5792
A pointwise finite-dimensional reduction method for Einstein-Lichnerowciz type systems. Proceedings of the BruTo PDE's Conference (Torino, 2-5 May 2016). To appear in the Rendiconti del Seminario Matematico - Università e Politecnico di Torino.