Jérémie Szeftel

Jérémie Szeftel (* 1977 ) is a French mathematician who deals with partial differential equations.

Szeftel received his doctorate in 2004 under Laurence Halpern at the University of Paris XIII (Calcul pseudo-différentiel et para-différentiel pour l'étude des conditions aux limites absorbantes et des propriétés qualitatives des EDP non linéaires) and completed his habilitation there in 2012. Was a post-doctoral student 2004 to 2009 Instructor and Visiting Assistant Professor at Princeton University . From 2004 he conducted research for the CNRS at the University of Bordeaux, and from 2009 at the École normal supérieure (Paris) . Since 2010 he has been teaching part-time at the École Polytechnique and since 2013 he has been researching for the CNRS at the University of Paris VI (Pierre et Marie Curie) as Senior Researcher (Jacques-Louis Lions Laboratory).

He is particularly concerned with the equations of general relativity (ART) and the nonlinear Schrödinger equation (where he worked particularly with Pierre Raphael and Frank Merle , in particular the existence and stability of blow-up solutions). Together with Sergiu Klainerman and Igor Rodnianski , he proved the conjecture of limited curvature in the GTR (in the Cauchy problem of the vacuum Einstein equations). The work is considered to be a breakthrough in the mathematical understanding of GTR, with which progress may possibly be made possible on another important and open question, the Cosmic Censorship Hypothesis . The conjecture was made 15 years earlier by Sergiu Klainerman and provides a minimal framework in which solutions to the Einstein equations apply. Essentially, it says that for the existence of solutions, the curvature should be square-integrable at the beginning. The time over which the existence of the solution is assured depends only on the -norm of the curvature tensor and a lower bound of the volume radius of the corresponding initial value data. ${\displaystyle L^{2}}$ ${\displaystyle L^{2}}$

In 2014 he was invited speaker at the International Congress of Mathematicians in Seoul (The resolution of the bounded curvature conjecture in general relativity). In 2009 he received the Young Scientist Prize from the Fondation Sciences Mathématiques de Paris. In 2007 he received the Prix Peccot des Collège de France and in 2014 the Alexandre Joannides Prize of the French Academy of Sciences. ${\displaystyle L^{2}}$

Fonts (selection)

• with Klainerman, Rodnianski: The Bounded L2 Curvature Conjecture, Invent. Math., Vol. 202, 2015, pp. 91-216
• with E. Dumas, D. Lannes: Variants of the focusing NLS equation. Derivation, justification and open problems related to filamentation, in: Laser Filamentation, CRM Series in Mathematical Physics, Springer 2016, pp. 19–75

Web links

• Homepage
• Biography on the occasion of the Prize of the Fondation Sciences Mathématiques Paris 2009

Individual evidence

1. ↑ Jérémie Szeftel in the Mathematics Genealogy Project (English)
2. ^ A breakthrough in the mathematical understanding of Einstein's equations, CNRS, 2015