Albert Fathi (born 27 October 1951, in
Egypt
Egypt ( , ), officially the Arab Republic of Egypt, is a country spanning the Northeast Africa, northeast corner of Africa and Western Asia, southwest corner of Asia via the Sinai Peninsula. It is bordered by the Mediterranean Sea to northe ...
) is an Egyptian-
French
French may refer to:
* Something of, from, or related to France
** French language, which originated in France
** French people, a nation and ethnic group
** French cuisine, cooking traditions and practices
Arts and media
* The French (band), ...
mathematician. He specializes in
dynamical system
In mathematics, a dynamical system is a system in which a Function (mathematics), function describes the time dependence of a Point (geometry), point in an ambient space, such as in a parametric curve. Examples include the mathematical models ...
s and is currently a professor at the
Georgia Institute of Technology
The Georgia Institute of Technology (commonly referred to as Georgia Tech, GT, and simply Tech or the Institute) is a public university, public research university and Institute of technology (United States), institute of technology in Atlanta, ...
.
Fathi attended the ''Collège des frères Lasalle'' in
Cairo
Cairo ( ; , ) is the Capital city, capital and largest city of Egypt and the Cairo Governorate, being home to more than 10 million people. It is also part of the List of urban agglomerations in Africa, largest urban agglomeration in Africa, L ...
and grew up bilingual in
French
French may refer to:
* Something of, from, or related to France
** French language, which originated in France
** French people, a nation and ethnic group
** French cuisine, cooking traditions and practices
Arts and media
* The French (band), ...
and
Arabic
Arabic (, , or , ) is a Central Semitic languages, Central Semitic language of the Afroasiatic languages, Afroasiatic language family spoken primarily in the Arab world. The International Organization for Standardization (ISO) assigns lang ...
. At age ten, he came as a political refugee to
Paris
Paris () is the Capital city, capital and List of communes in France with over 20,000 inhabitants, largest city of France. With an estimated population of 2,048,472 residents in January 2025 in an area of more than , Paris is the List of ci ...
and studied at the
École normale supérieure
École or Ecole may refer to:
* an elementary school in the French educational stages normally followed by Secondary education in France, secondary education establishments (collège and lycée)
* École (river), a tributary of the Seine flowing i ...
in
Saint-Cloud
Saint-Cloud () is a French commune in the western suburbs of Paris, France, from the centre of Paris. Like other communes of Hauts-de-Seine such as Marnes-la-Coquette, Neuilly-sur-Seine and Vaucresson, Saint-Cloud is one of France's wealthie ...
. He received in 1980 his PhD from the
University of Paris 11 under
Laurence Siebenmann with thesis ''Transformations et homéomorphismes préservant la mesure''. From 1987 to 1992 he was a professor at the
University of Florida
The University of Florida (Florida or UF) is a public university, public land-grant university, land-grant research university in Gainesville, Florida, United States. It is a senior member of the State University System of Florida and a preem ...
. Since 1992 he has taught at the
École normale supérieure de Lyon
École or Ecole may refer to:
* an elementary school in the French educational stages normally followed by secondary education establishments (collège and lycée)
* École (river), a tributary of the Seine flowing in région Île-de-France
* Éco ...
(unit of pure and applied mathematics). He has also taught at the
École polytechnique
(, ; also known as Polytechnique or l'X ) is a ''grande école'' located in Palaiseau, France. It specializes in science and engineering and is a founding member of the Polytechnic Institute of Paris.
The school was founded in 1794 by mat ...
.
He has been a visiting professor at the
Institute for Advanced Study
The Institute for Advanced Study (IAS) is an independent center for theoretical research and intellectual inquiry located in Princeton, New Jersey. It has served as the academic home of internationally preeminent scholars, including Albert Ein ...
(1986/87), at the
Universidad Complutense de Madrid
The Complutense University of Madrid (, UCM; ) is a public research university located in Madrid. Founded in Alcalá in 1293 (before relocating to Madrid in 1836), it is one of the oldest operating universities in the world, and one of Spain's ...
(Instituto de Matemática Interdisciplinar), in
Nanjing
Nanjing or Nanking is the capital of Jiangsu, a province in East China. The city, which is located in the southwestern corner of the province, has 11 districts, an administrative area of , and a population of 9,423,400.
Situated in the Yang ...
, in
Cambridge
Cambridge ( ) is a List of cities in the United Kingdom, city and non-metropolitan district in the county of Cambridgeshire, England. It is the county town of Cambridgeshire and is located on the River Cam, north of London. As of the 2021 Unit ...
and at
MSRI. In 2013 he received the
Sophie Germain Prize The Sophie Germain Prize (in French: ''Prix Sophie Germain'') is an annual mathematics prize awarded by the French Academy of Sciences to researchers who have carried out fundamental research in mathematics. The award has been conferred every year ...
. He is a member of the Institut Universitaire de France.
At the
International Congress of Mathematicians
The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU).
The Fields Medals, the IMU Abacus Medal (known before ...
in 2014 in
Seoul
Seoul, officially Seoul Special Metropolitan City, is the capital city, capital and largest city of South Korea. The broader Seoul Metropolitan Area, encompassing Seoul, Gyeonggi Province and Incheon, emerged as the world's List of cities b ...
, Fathi was an Invited Speaker with talk ''Weak KAM Theory: the connection between Aubry-Mather theory and viscosity solutions of the
Hamilton–Jacobi equation
In physics, the Hamilton–Jacobi equation, named after William Rowan Hamilton and Carl Gustav Jacob Jacobi, is an alternative formulation of classical mechanics, equivalent to other formulations such as Newton's laws of motion, Lagrangian mecha ...
''.
Selected publications
* The Weak KAM Theorem in Lagrangian Dynamics, Cambridge University Press 201
Preliminayr version of ''Weak KAM Theorem in Lagrangian Dynamics''* with François Laudenbach,
Valentin Poénaru
Valentin Alexandre Poénaru (born 1932 in Bucharest) is a Romanian– French mathematician. He was a Professor of Mathematics at University of Paris-Sud, specializing in low-dimensional topology.
Life and career
Born in Bucharest, Romania, he d ...
: ''Thurston´s Work on Surfaces'', Princeton University Press 2012
(originally published in ''Travaux de Thurston'', Asterisque, tome 65/66, 1979)
* editor with
Jean-Christophe Yoccoz
Jean-Christophe Yoccoz (29 May 1957 – 3 September 2016) was a French mathematician. He was awarded a Fields Medal in 1994, for his work on dynamical systems. Yoccoz died on 3 September 2016 at the age of 59.
Biography
Yoccoz attended the Lyc� ...
: ''Dynamical systems:
Michael Herman memorial volume'', Cambridge University Press 2006
* with
Michael Shub
Michael Ira Shub (born August 17, 1943) is an American mathematician who has done research into dynamical systems and the complexity of real number algorithms.
Career 1967: Ph.D. and early career
In 1967, Shub obtained his Ph.D. degree at the U ...
, 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
Alessio Figalli (; born 2 April 1984) is an Italian mathematician working primarily on the calculus of variations and partial differential equations.
He was awarded the Peccot-Vimont Prize and the Peccot Lectures in 2012, the EMS Prize in 201 ...
''Optimal transportation on non-compact manifolds'' Israel Journal of Mathematics
'' Israel Journal of Mathematics'' is a peer-reviewed mathematics journal published by the Hebrew University of Jerusalem ( Magnes Press).
History
Founded in 1963, as a continuation of the ''Bulletin of the Research Council of Israel'' (Section ...
175 (2010), 1–59.
References
{{DEFAULTSORT:Fathi, Albert
1951 births
Living people
Egyptian emigrants to France
20th-century French mathematicians
21st-century French mathematicians
Institute for Advanced Study visiting scholars
University of Florida faculty
Academic staff of Paris-Sud University
Dynamical systems theorists