Jean Leray
Jean Leray  

Jean Leray in 1961


Born 
ChantenaysurLoire (today part of Nantes) 
7 November 1906
Died  10 November 1998 La Baule 
(aged 92)
Alma mater  École Normale Supérieure 
Known for  partial differential equations, algebraic topology 
Awards  Malaxa Prize (1938) Feltrinelli Prize (1971) Wolf Prize in Mathematics (1979) Lomonosov Gold Medal (1988) 
Scientific career  
Fields  Mathematics 
Institutions 
University of Nancy University of Paris Collège de France 
Doctoral advisor  Henri Villat 
Doctoral students 
Armand Borel István Fáry 
Jean Leray (French: [ləʁɛ]; 7 November 1906 – 10 November 1998)^{[1]} was a French mathematician, who worked on both partial differential equations and algebraic topology.
Life and career
He was born in ChantenaysurLoire (today part of Nantes). He studied at École Normale Supérieure from 1926 to 1929. He received his Ph.D. in 1933. Leray wrote an important paper that founded the study of weak solutions of the Navier–Stokes equations.^{[2]} Together with Juliusz Schauder, he discovered^{[3]} a topological invariant, now called the Leray–Schauder degree, which they applied to prove the existence of solutions for partial differential equations lacking uniqueness.
From 1938 to 1939 he was professor at the University of Nancy. He did not join the Bourbaki group, although he was close with its founders.
His main work in topology was carried out while he was in a prisoner of war camp in Edelbach, Austria from 1940 to 1945. He concealed his expertise on differential equations, fearing that its connections with applied mathematics could lead him to be asked to do war work.
Leray's work of this period proved seminal to the development of spectral sequences and sheaves.^{[4]} These were subsequently developed by many others,^{[5]} each separately becoming an important tool in homological algebra.
He returned to work on partial differential equations from about 1950.
He was professor at the University of Paris from 1945 to 1947, and then at the Collège de France until 1978.
He was awarded the Malaxa Prize (Romania, 1938), the Grand Prix in mathematical sciences (French Academy of Sciences, 1940), the Feltrinelli Prize (Accademia dei Lincei, 1971), the Wolf Prize in Mathematics (Israel, 1979), and the Lomonosov Gold Medal (Moscow, 1988).
See also
References
 ^ Andler, M. (2006). "Jean Leray. 7 November 1906  10 November 1998: Elected ForMemRS 1983". Biographical Memoirs of Fellows of the Royal Society. 52: 137. doi:10.1098/rsbm.2006.0011.
 ^ Leray, J. (1934). "Sur le mouvement d'un liquide visqueux emplissant l'espace" (PDF). Acta Mathematica. 63: 193–248. doi:10.1007/BF02547354.
 ^ Leray, J.; Schauder, J. (1934). "Topologie et équations fonctionelles". Annales Scientifiques de l'École Normale Supérieure. 51: 45–78. JFM 60.0322.02. Zbl 0009.07301.
 ^ Dieudonné, Jean (1989). A history of algebraic and differential topology 1900–1960. Birkhäuser. pp. 123–141. ISBN 081763388X.
 ^ Miller, Haynes (2000). "Leray in Oflag XVIIA: The origins of sheaf theory, sheaf cohomology, and spectral sequences" (PS).
External links
 O'Connor, John J.; Robertson, Edmund F., "Jean Leray", MacTutor History of Mathematics archive, University of St Andrews.
 Jean Leray at the Mathematics Genealogy Project
 "Jean Leray (1906–1998)", by Armand Borel, Gennadi M. Henkin, and Peter D. Lax, Notices of the American Mathematical Society, vol. 47, no. 3, March 2000.
 Jean Leray Short biography
 1906 births
 1998 deaths
 20thcentury French mathematicians
 Mathematical analysts
 Topologists
 École Normale Supérieure alumni
 Wolf Prize in Mathematics laureates
 Members of the French Academy of Sciences
 Foreign Members of the Royal Society
 Foreign Members of the USSR Academy of Sciences
 Foreign Members of the Russian Academy of Sciences
 Institute for Advanced Study visiting scholars
 PDE theorists
 NancyUniversité faculty