Stephen Smale

Stephen Smale
Stephen Smale
	Smale in 2008
Born	Stephen Smale; July 15, 1930; Flint, Michigan, U.S.
Nationality	American
Education	University of Michigan (BS, PhD)
Known for	List Generalized Poincaré conjecture; Handle decomposition; h-cobordism theorem; Homoclinic orbit; Horseshoe map; Smale conjecture; Smale's problems; Morse–Smale system; Morse–Smale diffeomorphism; Palais–Smale compactness condition; Blum–Shub–Smale machine; Smale–Williams attractor; Morse–Palais lemma; Regular homotopy; Sard's theorem; Sphere eversion; Structural stability; Whitehead torsion; Diffeomorphism
Awards	Wolf Prize (2007); National Medal of Science (1996); Chauvenet Prize (1988) ; Fields Medal (1966); Oswald Veblen Prize in Geometry (1966); Sloan Fellowship (1960)
	Scientific career
Fields	Mathematics
Institutions	Toyota Technological Institute at Chicago; City University of Hong Kong; University of Chicago; Columbia University; University of California, Berkeley
Thesis	Regular Curves on Riemannian Manifolds (1957)
Doctoral advisor	Raoul Bott
Doctoral students	Rufus Bowen; César Camacho; Robert L. Devaney; John Guckenheimer; Morris Hirsch; Nancy Kopell; Jacob Palis; Themistocles M. Rassias; James Renegar; Siavash Shahshahani; Mike Shub

Stephen Smale (born July 15, 1930) is an American mathematician, known for his research in topology, dynamical systems and mathematical economics. He was awarded the Fields Medal in 1966 and spent more than three decades on the mathematics faculty of the University of California, Berkeley (1960–1961 and 1964–1995), where he currently is Professor Emeritus, with research interests in algorithms, numerical analysis and global analysis.

Stephen Smale
Smale in 2008
Born	Stephen Smale (1930-07-15) July 15, 1930 Flint, Michigan, U.S.
Nationality	American
Education	University of Michigan (BS, PhD)
Known for	List Generalized Poincaré conjecture Handle decomposition h-cobordism theorem Homoclinic orbit Horseshoe map Smale conjecture Smale's problems Morse–Smale system Morse–Smale diffeomorphism Palais–Smale compactness condition Blum–Shub–Smale machine Smale–Williams attractor Morse–Palais lemma Regular homotopy Sard's theorem Sphere eversion Structural stability Whitehead torsion Diffeomorphism
Awards	Wolf Prize (2007) National Medal of Science (1996) Chauvenet Prize (1988) Fields Medal (1966) Oswald Veblen Prize in Geometry (1966) Sloan Fellowship (1960)
Scientific career
Fields	Mathematics
Institutions	Toyota Technological Institute at Chicago City University of Hong Kong University of Chicago Columbia University University of California, Berkeley
Thesis	Regular Curves on Riemannian Manifolds (1957)
Doctoral advisor	Raoul Bott
Doctoral students	Rufus Bowen César Camacho Robert L. Devaney John Guckenheimer Morris Hirsch Nancy Kopell Jacob Palis Themistocles M. Rassias James Renegar Siavash Shahshahani Mike Shub