Page Personnelle de Bruno Premoselli

I am currently a FNRS Post-doctoral researcher (Chargé de Recherches FNRS) in the Geometry group of the Université Libre de Bruxelles.

bruno.premoselli[@] ulb [.] ac [.] be

Département de mathématique

Faculté des sciences


Coordonnées / Contact

Professional Address:

Service de Géométrie Différentielle
Université Libre de Bruxelles CP 218
Boulevard du Triomphe B-1050 Bruxelles, Belgium.

How to reach me:

Campus Plaine - NO builidng, Level 7, Office 7.127.

Formation / Education

- Oct. 2017 - Sep. 2020: Chargé de Recherche FNRS at the Université Libre de Bruxelles
- Sep. 2015 - Sep. 2017: Post-doctoral position at the Université Libre de Bruxelles, under the supervision of Joel Fine .
- Sep. 2012 - Aug. 2015: Allocataire moniteur Normalien at the University of Cergy-Pontoise
- Dec. 5, 2014:  Ph.D  thesis, "Constraint equations in a scalar field theory". Advisors: Olivier DRUET (Université Claude Bernard Lyon 1) and Emmanuel HEBEY (University of Cergy-Pontoise).
- Sep. 2008 - Aug. 2012: ENS Lyon - Jul. 2011: "Agrégation de Mathématiques" (rank: 15).
- Jan. 2011: Master at the University  Claude Bernard Lyon 1.

Intérêts de Recherche / Research Interests

Analyse non linéaire sur les variétés / Nonlinear Analysis on manifolds.

Einstein equations in dimension 4 / Equations d'Einstein en dimension 4.

Equations de contraintes en Relativité Générale / Constraint equations in General Relativity.

Curriculum Vitae


[1] The Einstein-scalar field constraint system in the positive case, Communications in Mathematical Physics 326 (2014), no. 2, 543-557. arXiv:1301.5792
[2] 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
[3] Stability of the Einstein-Lichnerowicz constraint system (with Olivier Druet), Matematische Annalen 362 (2015), no.3, 839-886. arXiv:1312.6574
[4] Stability and instability of the n-dimensional Einstein-Lichnerowicz constraints system, International Mathematics Research Notices, Vol. 2016 no.8, 1951-2025. arXiv:1502.04233
[5] Non-compactness and infinite number of conformal initial data sets in high dimensions (with Juncheng Wei), Journal of Functional Analysis 270 (2016), no.2, 718-747. arXiv:1505.02806
[6] A pointwise finite-dimensional reduction method for a fully coupled system of Einstein-Lichnerowicz type, 59 pages, 2016. To appear in Communications in Contemporary Mathematics. arXiv:1605.05468
[7] A pointwise finite-dimensional reduction method for Einstein-Lichnerowicz-type systems: the six-dimensional case, 19 pages, 2017. Submitted.
[8] Bubbling above the threshold of the scalar curvature in dimensions four and five (with Pierre-Damien Thizy), 41 pages, 2017. Submitted.
[9] Compact Einstein manifolds with negative curvature (with Joel Fine), in preparation.

 A detailed list of the talks I have given and the courses I have taught can be found in my Curriculum Vitae.