Université Libre de Bruxelles CP 218

Service d'Analyse

Office 7.102, Phone: +32 2 650 58 52

Campus Plaine - NO building, 7th floor

Boulevard du Triomphe B-1050 Bruxelles, Belgique.

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.

- (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. Accepted for publication in the
*Journal of the American Mathematical Society*. 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 Partial Differential Equations*. hal-01805092 - A pointwise finite-dimensional reduction method for Einstein-Lichnerowicz-type systems: the six-dimensional case,
*Nonlinear Analysis*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*.