Vladimir Arnold

Vladimir Arnold
Vladimir Arnold
Владимир Арнольд
	Arnold in 2008
Born	12 June 1937; Odessa, Ukrainian SSR, Soviet Union
Died	3 June 2010 (aged 72); Paris, France
Citizenship	Soviet Union; Russia;
Alma mater	Moscow State University
Known for	List ADE classification; Arnold's cat map; Arnold conjecture; Arnold diffusion; Arnold invariants; Arnold's Problems; Arnold's rouble problem; Arnold's spectral sequence; Arnold tongue; ABC flow; Arnold–Givental conjecture; Euler–Arnold equation; Gömböc; Gudkov's conjecture; Hilbert–Arnold problem; Hilbert's thirteenth problem; KAM theorem; Kolmogorov–Arnold theorem; Liouville–Arnold theorem; Topological Galois theory; Mathematical Methods of Classical Mechanics; Nearby Lagrangian conjecture; Ordinary Differential Equations
Awards	Shaw Prize (2008) ; State Prize of the Russian Federation (2007) ; Wolf Prize (2001) ; Dannie Heineman Prize for Mathematical Physics (2001) ; Harvey Prize (1994) ; RAS Lobachevsky Prize (1992) ; Crafoord Prize (1982) ; Lenin Prize (1965)
	Scientific career
Fields	Mathematics
Institutions	Paris Dauphine University; Steklov Institute of Mathematics; Independent University of Moscow; Moscow State University
Doctoral advisor	Andrey Kolmogorov
Doctoral students	Rifkat Bogdanov; Alexander Givental; Victor Goryunov; Sabir Gusein-Zade; Emil Horozov; Yulij Ilyashenko; Boris Khesin; Askold Khovanskii; Nikolay Nekhoroshev; Boris Shapiro; Alexander Varchenko; Victor Vassiliev; Vladimir Zakalyukin;

Vladimir Igorevich Arnold (or Arnol'd; Russian: Влади́мир И́горевич Арно́льд, IPA: [vlɐˈdʲimʲɪr ˈiɡərʲɪvʲɪtɕ ɐrˈnolʲt]; 12 June 1937 – 3 June 2010) was a Soviet and Russian mathematician. He is best known for the Kolmogorov–Arnold–Moser theorem regarding the stability of integrable systems, and contributed to several areas, including geometrical theory of dynamical systems, algebra, catastrophe theory, topology, real algebraic geometry, symplectic geometry, differential equations, classical mechanics, differential-geometric approach to hydrodynamics, geometric analysis and singularity theory, including posing the ADE classification problem.

His first main result was the solution of Hilbert's thirteenth problem in 1957 when he was 19. He co-founded three new branches of mathematics: topological Galois theory (with his student Askold Khovanskii), symplectic topology and KAM theory.

Arnold was also a populariser of mathematics. Through his lectures, seminars, and as the author of several textbooks (such as Mathematical Methods of Classical Mechanics and Ordinary Differential Equations) and popular mathematics books, he influenced many mathematicians and physicists. Many of his books were translated into English. His views on education were opposed to those of Bourbaki.

A controversial and often quoted dictum of his is "Mathematics is the part of physics where experiments are cheap".

Arnold received the inaugural Crafoord Prize in 1982, the Wolf Prize in 2001 and the Shaw Prize in 2008.