Albert Fathi

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Albert Fathi (born October 27, 1951 in Egypt ) is an Egyptian- French mathematician . He deals with dynamic systems and is currently a professor at the École normal supérieure de Lyon .

Fathi attended the Collège des frères Lasalle in Cairo and grew up bilingually (French, Arabic). At the age of ten he came to Paris as a political refugee and studied at the École normal supérieure in Saint-Cloud . He received his doctorate in 1980 under Laurence Siebenmann at the University of Paris-South (Transformations et homéomorphismes préservant la mesure). From 1987 to 1992 he was a professor at the University of Florida . Since 1992 he has been teaching at the ENS in Lyon (Unité de mathématiques pures et appliquées, UMPA). He also taught at the École polytechnique .

He was visiting scholar at the Institute for Advanced Study (1986/87), at the Universidad Complutense de Madrid (Instituto de Matemática Interdisciplinar), in Nanjing , Cambridge and at the MSRI . In 2013 he received the Sophie Germain Prize . He is a member of the Institut Universitaire de France.

He was speaker at the International Congress of Mathematicians 2014 in Seoul (Weak KAM Theory: the connection between Aubry-Mather theory and viscosity solutions of the Hamilton-Jacobi equation).

Fonts (selection)

  • The Weak KAM Theorem in Lagrangian Dynamics, Cambridge University Press 2012
  • with François Laudenbach , Valentin Poénaru Thurston 's Work on Surfaces , Princeton University Press 2012 (originally Travaux de Thurston , Asterisque, Volume 65/66, 1979)
  • Editor with Jean-Christophe Yoccoz Dynamical systems: Michael Herman memorial volume , Cambridge University Press 2006
  • with Michael Shub , Remi Langevin Global stability of dynamical systems , Springer Verlag 1987
  • Editor with Yong-Geun Oh, Claude Viterbo Symplectic topology and measure preserving dynamical systems , AMS 2010 (Summer Conference, Snowbird 2007)
  • Systèmes dynamiques, Ecole Polytechnique 1997
  • Dehn twists and pseudo-Anosov diffeomorphisms. Invent. Math. 87 (1987) no. 1, 129-151.
  • Théorème KAM faible et théorie de Mather sur les systèmes lagrangiens. CR Acad. Sci. Paris Sér. I Math. 324 (1997) no. 9, 1043-1046.
  • with Antonio Siconolfi : Existence of C1 critical subsolutions of the Hamilton-Jacobi equation. Invent. Math. 155 (2004), no. 2, 363-388.
  • with Antonio Siconolfi: PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians. Calc. Var. Partial Differential Equations 22 (2005), no. 2, 185-228.
  • with Alessio Figalli : Optimal transportation on non-compact manifolds. Israel J. Math. 175 (2010), 1-59.

Web links

Individual evidence

  1. ^ Albert Fathi in the Mathematics Genealogy Project (English) Template: MathGenealogyProject / Maintenance / id usedand dissertation in the catalog of the Bibliotheque Nationale, Paris
  2. ↑ The results of his dissertation were published (according to the catalog of the Bibliotheque Nationale) in Deformation of open embeddings of Q-manifolds , Transactions of the American mathematical Society, 224, 1976, 427–435 (with YM Visetti), Le groupe des transformations de [ 0, 1] qui préservent la mesure de Lebesgue est un groupe simple , Israel Journal of Mathematics, 29, 1978, 302-308 and Structure of the group of homeomorphisms preserving a good measure on a compact manifold ( Memento from March 4, 2016 in Internet Archive ) , Annales scientifiques de l'École normal supérieure, 4e série, 13, 1980, 45-93
  3. ↑ IAS
  4. ↑ To receive the Sophie Germain Prize at the ENS Lyon
personal data
SURNAME Fathi, Albert
BRIEF DESCRIPTION French-Egyptian mathematician
DATE OF BIRTH October 27, 1951
PLACE OF BIRTH Egypt