Stephen Smale, born on 15 July 1930, is an American mathematician known for his research in topology, dynamical systems and mathematical economics. He was born in Flint, Michigan, entered the University of Michigan in 1948 and earned his PhD there in 1957 under Raoul Bott. He was awarded the Fields Medal in 1966 and spent more than three decades on the mathematics faculty of the University of California, Berkeley, where he later held emeritus status, with research interests in algorithms, numerical analysis and global analysis. Early in his career he worked on the higher-dimensional Poincare conjecture.
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Source Wikipedia: Stephen Smale
Mentored
Source Morris Hirsch (Wikipedia)
Principal Result
Source Wikipedia: Stephen Smale
Proofs Credited
Source H-cobordism (Wikipedia)
Source Sphere eversion, Wikipedia
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1. Wikipedia: Stephen Smale
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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 a professor emeritus, with research interests in algorithms, numerical analysis and global analysis.
Principal Result: Smale's Theorem (Sphere Eversion), Article text
Smale's theorem has been reproved and extended a few times, notably to higher dimensions in the form of the Smale conjecture, as well as to other topological types.
View the Source2. MacTutor History of Mathematics, University of St Andrews: Stephen Smale
MacTutor History of Mathematics, University of St AndrewsQuick Info: BornQuote, Quick Info: Born
15 July 1930
3. International Mathematical Union: Fields Medal
International Mathematical UnionThe Fields Medalists, chronologically listedQuote, The Fields Medalists, chronologically listed
Stephen Smale
4. Wolf Foundation: Wolf Prize in Mathematics laureates
Morris Hirsch (Wikipedia)
Mentored: Morris Hirsch, LeadQuote, Mentored: Morris Hirsch, Lead
under supervision of Edwin Spanier and Stephen Smale
H-cobordism (Wikipedia)
Proofs Credited: H-Cobordism Theorem, LeadQuote, Proofs Credited: H-Cobordism Theorem, Lead
The theorem was first proved by Stephen Smale for which he received the Fields Medal and is a fundamental result in the theory of high-dimensional manifolds.
Sphere eversion, Wikipedia
Proofs Credited: Smale's Theorem (Sphere Eversion), LeadQuote, Proofs Credited: Smale's Theorem (Sphere Eversion), Lead
An existence proof for crease-free sphere eversion was first created by Stephen Smale (1958).
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