Page Personnelle de Bruno Premoselli

I am currently a Post-doctoral researcher 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

- Sep. 2015 - Jun. 2018: 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.
Equations aux dérivées partielles non linéaires / Nonlinear PDEs.
Equations de contraintes en Relativité Générale / Constraint equations in General Relativity.
Physique Mathématique / Mathematical Physics.

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. arXiv:1605.05468

Conférences données / Talks I have given

Workshop in Geometric Analysis and General Relativity, BANFF Research Station (July 17-22)
Workshop ''General Relativity: From Geometry to Amplitudes'', Isaac Newton Institute for Mathematical Sciences (June 27 - July 1st)
Bruxelles-Torino seminars in PDEs, Università di Torino (May 2-5, 2016)
Analysis seminar, University of Lorraine, Nancy (March 8, 2016)
Analysis seminar, Max Planck Insitut fur Mathematik, Leipzig (Jan. 29, 2016, during a two-weeks invitation)
Journée de Géométrie, University Paris-Est Créteil (Nov. 23, 2015)
Nonlinear analysis and PDE seminar, Université Libre de Bruxelles (Oct. 16, 2015)
Numerical analysis and PDE seminar, Laboratoire de Mathématiques d'Orsay (Oct 8, 2015)
IHP Seminar (Oct 7, 2015, in the context of a three-months program in Mathematical General Relativity)
Thematic School: Geometric aspects in General Relativity, University of Montpellier (Sep 30, 2015)
Séminaire Commun d'Analyse Géométrique, CIRM, Marseilles (Sep 4, 2015)
Differential Geometry seminar, Université Libre de Bruxelles (July 7, 2015)
Meeting ''Mini-courses in Mathematical Analysis'', University of Padova (June 22-26, 2015)
Working group in Statistical Physics, University of Lorraine, Nancy (June 11, 2015).
Fifth Central European Relativity Seminar (CERS5), Budapest (Feb. 26-28, 2015)
General Relativity seminar, Laboratoire Jacques-Louis Lions, Paris 6 University Jussieu (Feb. 11, 2015)
Conference ''Mathematical Physics'', University of Nantes (Feb 2-6, 2015, as part of the thematic semester ``PDEs and large time asymptotics'', Centre Henri Lebesgue).
Nonlinear PDEs seminar, Laboratoire LAGA, Paris 13 University, Villetaneuse (Nov 28, 2014).
Differential Geometry seminar, Institut Elie Cartan, University of Lorraine, Nancy (Nov 18, 2014).
Differential geometry, Mathematical Physics and PDE seminar, University of British Columbia, Vancouver (Nov 11 2014, during a one-week invitation)
Geometry seminar, University of Nantes (Oct 2, 2014 )
Geometry seminar, Institut Mathématique de Jussieu, Paris 7 University (Sep 29, 2014)
Geometry and Analysis seminar, University of Nice, (Sep 11, 2014)
Conference ''Nonlinear PDEs in geometry and physics", Notre-Dame University, IN, (Jun 17, 2014, during a two-week invitation)
Geometry, PDEs and Mathematical Physics seminar, Laboratoire AGM, Cergy-Pontoise University (Apr 7, 2014)

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