Dennis Sullivan: Difference between revisions
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==Awards and honors== |
==Awards and honors== |
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*1971 [[Oswald Veblen Prize in Geometry]] |
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Awards include the 1971 [[Oswald Veblen Prize in Geometry]]; the 1981 [[Prix Élie Cartan]] of the [[French Academy of Sciences]]; the [[King Faisal International Prize for Science]] in 1994; the 2004 [[National Medal of Science]]; the 2006 AMS [[Steele Prize]] for Lifetime Achievement; the [[Wolf Prize in Mathematics]] in 2010 for "his contributions to algebraic topology and conformal dynamics"<ref>[http://www.israelnationalnews.com/News/News.aspx/135820 Winners of Prestigious Wolf Prize Announced]</ref> and the 2014 [[Balzan Prize]] in mathematics (pure or applied). |
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*1981 [https://de.wikipedia.org/wiki/Prix_%C3%89lie_Cartan Prix Élie Cartan], [[French Academy of Sciences]] |
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*1994 [[King Faisal International Prize for Science]] |
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*2004 [[National Medal of Science]] |
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*2006 [[Steele Prize]] for lifetime achievement |
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*2010 [[Wolf Prize in Mathematics]], for "his contributions to algebraic topology and conformal dynamics"<ref>[http://www.israelnationalnews.com/News/News.aspx/135820 Winners of Prestigious Wolf Prize Announced]</ref> |
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*2014 [[Balzan Prize]] in Mathematics (pure or applied) |
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==Selected publications== |
==Selected publications== |
Revision as of 18:31, 9 October 2014
Dennis Parnell Sullivan | |
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Born | |
Nationality | American |
Alma mater | Princeton University Rice University |
Known for | Work in topology, dynamical systems |
Awards | Balzan Prize (2014) Wolf Prize in Mathematics (2010) Leroy P. Steele Prize (2006) National Medal of Science (2004) Oswald Veblen Prize in Geometry (1971) |
Scientific career | |
Fields | Mathematics |
Institutions | City University of New York Stony Brook University |
Doctoral advisor | William Browder |
Doctoral students | Harold Abelson Curtis T. McMullen Elmar Winkelnkemper |
Dennis Parnell Sullivan (born February 12, 1941[1]) is an American mathematician. He is known for work in topology, both algebraic and geometric, and on dynamical systems. He holds the Albert Einstein Chair at the City University of New York Graduate Center, and is a professor at Stony Brook University.
Work in topology
He received his B.A. in 1963 from Rice University and his doctorate in 1966 from Princeton University. His Ph.D. thesis, entitled Triangulating homotopy equivalences, was written under the supervision of William Browder, and was a contribution to surgery theory. He was a permanent member of the Institut des Hautes Études Scientifiques from 1974 to 1997.
Sullivan is one of the founders of the surgery method of classifying high-dimensional manifolds, along with Browder, Sergei Novikov and C. T. C. Wall. In homotopy theory, Sullivan put forward the radical concept that spaces could directly be localised, a procedure hitherto applied to the algebraic constructs made from them. He founded (along with Daniel Quillen) rational homotopy theory.
The Sullivan conjecture, proved in its original form by Haynes Miller, states that the classifying space BG of a finite group G is sufficiently different from any finite CW complex X, that it maps to such an X only 'with difficulty'; in a more formal statement, the space of all mappings BG to X, as pointed spaces and given the compact-open topology, is weakly contractible. This area has generated considerable further research. (Both these matters are discussed in his 1970 MIT notes.)
Work in dynamics
In 1985, he proved the No wandering domain theorem. The Parry-Sullivan invariant is named after him and the English mathematician Bill Parry.
In 1987, he proved Thurston's conjecture about the approximation of the Riemann map by circle packings together with Burton Rodin.
Awards and honors
- 1971 Oswald Veblen Prize in Geometry
- 1981 Prix Élie Cartan, French Academy of Sciences
- 1994 King Faisal International Prize for Science
- 2004 National Medal of Science
- 2006 Steele Prize for lifetime achievement
- 2010 Wolf Prize in Mathematics, for "his contributions to algebraic topology and conformal dynamics"[2]
- 2012 Fellow, American Mathematical Society[3]
- 2014 Balzan Prize in Mathematics (pure or applied)
Selected publications
- Sullivan, Dennis (1977), "Infinitesimal computations in topology", Publ. I.H.E.S., 47: 269–331, MR 0646078
References
- ^ Phillips, Anthony (2005), "Dennis Sullivan", in Takhtadzhi͡a︡n, Leon Armenovich (ed.), Graphs and patterns in mathematics and theoretical physics, Providence: AMS Bookstore, p. xiii, ISBN 0-8218-3666-8
{{citation}}
: External link in
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suggested) (help). - ^ Winners of Prestigious Wolf Prize Announced
- ^ List of Fellows of the American Mathematical Society, retrieved 2013-08-05.
External links
- Homotopy theory
- 20th-century American mathematicians
- 21st-century American mathematicians
- Topologists
- Princeton University alumni
- Rice University alumni
- State University of New York at Stony Brook faculty
- City University of New York faculty
- CUNY Graduate Center faculty
- National Medal of Science laureates
- 1941 births
- Living people
- ISI highly cited researchers
- Members of the United States National Academy of Sciences
- Recipients of the Great Cross of the National Order of Scientific Merit (Brazil)
- Fellows of the American Mathematical Society