Stephen Smale

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
NationalityAmerican
EducationUniversity of Michigan (BS, PhD)
Known forGeneralized Poincaré conjecture
Handle decomposition
Homoclinic orbit
Smale's horseshoe
Smale's theorem
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
AwardsWolf Prize (2007)
National Medal of Science (1996)
Chauvenet Prize (1988)
Fields Medal (1966)
Oswald Veblen Prize in Geometry (1966)
Sloan Fellowship (1960)
Scientific career
FieldsMathematics
InstitutionsToyota Technological Institute at Chicago
City University of Hong Kong
University of Chicago
Columbia University
University of California, Berkeley
ThesisRegular Curves on Riemannian Manifolds (1957)
Doctoral advisorRaoul Bott
Doctoral studentsRufus Bowen
César Camacho
Robert L. Devaney
John Guckenheimer
Morris Hirsch
Nancy Kopell
Jacob Palis
Themistocles M. Rassias
James Renegar
Siavash Shahshahani
Mike Shub
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