Egyptian-French mathematician
Albert Fathi (born 27 October 1951, in Egypt ) is an Egyptian-French mathematician. He specializes in dynamical systems and is currently a professor at the Georgia Institute of Technology .
Fathi attended the Collège des frères Lasalle in Cairo and grew up bilingual in French and Arabic . At age ten, he came as a political refugee to Paris and studied at the École normale supérieure in Saint-Cloud . He received in 1980 his PhD from the University of Paris 11 under Laurence Siebenmann with thesis Transformations et homéomorphismes préservant la mesure .[ 1] [ 2] From 1987 to 1992 he was a professor at the University of Florida . Since 1992 he has taught at the École normale supérieure de Lyon (unit of pure and applied mathematics). He has also taught at the École polytechnique .
He has been a visiting professor at the Institute for Advanced Study (1986/87),[ 3] at the Universidad Complutense de Madrid (Instituto de Matemática Interdisciplinar), in Nanjing , in Cambridge and at MSRI . In 2013 he received the Sophie Germain Prize .[ 4] He is a member of the Institut Universitaire de France.
At the International Congress of Mathematicians in 2014 in Seoul , Fathi was an Invited Speaker with talk Weak KAM Theory: the connection between Aubry-Mather theory and viscosity solutions of the Hamilton–Jacobi equation .
Selected publications
The Weak KAM Theorem in Lagrangian Dynamics, Cambridge University Press 2012 Preliminayr version of Weak KAM Theorem in Lagrangian Dynamics
with François Laudenbach, Valentin Poénaru : Thurston´s Work on Surfaces , Princeton University Press 2012[ 5] (originally published in Travaux de Thurston , Asterisque, tome 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. Comptes Rendus de l'Académie des Sciences, Série I 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 Journal of Mathematics 175 (2010), 1–59.
References
^ Albert Fathi at the Mathematics Genealogy Project and dissertation in the catalogue of the Bibliotheque Nationale, Paris
^ The results of his dissertation were published (according to the catalogue of the Bibliotheque Nationale) in Deformation of open embeddings of Q-manifolds , Transactions of the American mathematical Society, vol. 224, 1976, 427–435 (with Y. M. Visetti), Le groupe des transformations de [0, 1] qui préservent la mesure de Lebesgue est un groupe simple , Israel Journal of Mathematics , vol. 29, 1978, 302-308 and Structure of the group of homeomorphisms preserving a good measure on a compact manifold , Annales Scientifiques de l'École Normale Supérieure, 4e série, tome 13, 1980, 45-93
^ "Albert Fathi" . Institute for Advanced Study . Retrieved 2017-10-27 .
^ "| École normale supérieure de Lyon" . www.ens-lyon.eu (in French). Retrieved 2017-10-27 .
^ Margalit, Dan (2014). "Review: Thurston's work on surfaces by Albert Fathi, François Laudenbach, and Valentin Poénaru; trans. by Djun Kim and Dan Margalit" (PDF) . Bull. Am. Math. Soc . New Series. 51 (1): 151–161. doi :10.1090/S0273-0979-2013-01419-8 .
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