Sylvia Serfaty

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From left: Sylvia Serfaty, Etienne Sandier, Tristan Rivière, Oberwolfach 2002

Sylvia Serfaty (* 1975 ) is a French mathematician.

Serfaty studied from 1994 to 1998 at normal École supérieure (diploma in 1995) and in 1999 at the University of Paris-Sud in Orsay with Fabrice Bethuel doctorate (Etude de l'mathematique equation de Ginzburg-Landau de la supraconductivite). From 1998 she was at the Ecole Normale Superieure de Cachan as a scientist for the CNRS . In 2001 she became Assistant Professor, 2003 Associate Professor and 2007 Professor at the Courant Institute of Mathematical Sciences of New York University (from 2009 Global Distinguished Professor of Mathematics). From 2008 she was also a professor at the University of Paris VI (Pierre et Marie Curie) (Laboratoire Jacques Louis Lions).

She became known for her work on the Ginzburg-Landau model (which her teachers Fabrice Béthuel had already done pioneering work with Haïm Brezis and Frédéric Hélein ), which describes superconductivity phenomena and is also a simple model for a gauge theory . In these investigations, she precisely determined the three critical strengths of magnetic fields at which phase transitions occur:

  • at the first value the formation of stable eddies,
  • in the second, the transition to surface superconductivity (the eddies are so densely packed there that they begin to overlap),
  • at the third value the superconducting phase is lost.

In 2003 she was a Sloan Fellow. In 2004 she received the EMS Prize (lecture: Vortices in the Ginzburg-Landau-Model of Superconductivity ). In 2006 she was invited speaker on the same topic at the International Congress of Mathematicians (ICM) in Madrid and in 2018 she is plenary speaker at the ICM in Rio ( Systems of points with Coulomb interactions ). In 2012 she received the Henri Poincaré Prize . In 2012 she gave a plenary lecture at the European Congress of Mathematicians (ECM) in Krakow ( Renormalized energy, Abrikosov lattice and log gases ). In 2019 Serfaty was elected to the American Academy of Arts and Sciences .

Fonts

  • with Etienne Sandier: Vortices in the magnetic Ginzburg-Landau model (= Progress in Non-Linear Differential Equations and their Applications. 70). Birkhäuser, Boston MA et al. 2007, ISBN 978-0-8176-4316-4 .
  • Vortices in the Ginzburg-Landau model of superconductivity. In: Marta Sanz-Solé , Javier Soria, Juan Luis Varona, Joan Verdera (Eds.): Proceedings of the International Congress of Mathematicians. Madrid, August 22-30, 2006. Volume 3: Invited Lectures. European Mathematical Society, Zurich 2006, ISBN 3-03719-022-1 , pp. 267-290.
  • with Robert Kohn : A deterministic-control-based approach to motion by curvature. In: Communications on Pure and Applied Mathematics . Volume 59, No. 3, 2006, pp. 344-407, doi : 10.1002 / cpa.20101 .
  • with Étienne Sandier: Gamma-convergence of gradient flows with applications to Ginzburg-Landau. In: Communications on Pure and Applied Mathematics. Volume 57, No. 12, 2004, pp. 1627-1672, doi : 10.1002 / cpa.20046 .
  • with Étienne Sandier: A rigorous derivation of a free-boundary problem arising in superconductivity. In: Annales scientifiques de l'École normal supérieure . Series 4, Volume 33, No. 4, 2000, pp. 561-592, doi : 10.1016 / S0012-9593 (00) 00122-1 .
  • Local minimizers for the Ginzburg-Landau energy near critical magnetic field. Part I. In: Communications in Contemporary Mathematics. Volume 1, No. 2, 1999, pp. 213-254, doi : 10.1142 / S0219199799000109 ; Part II. In: Communications in Contemporary Mathematics. Volume 1, No. 3, 1999, pp. 295-333, doi : 10.1142 / S0219199799000134 .

Web links

supporting documents

  1. ↑ Short biography on the occasion of the Henri Poincaré Prize at the CNRS, photo , accessed on September 21, 2013
  2. ↑ Arxiv
personal data
SURNAME Serfaty, Sylvia
BRIEF DESCRIPTION French mathematician
DATE OF BIRTH 1975