Dennis Sullivan
| Dennis Parnell Sullivan | |
|---|---|
 |
|
| Born |
February 12, 1941 Port Huron, Michigan |
| Nationality | American |
| Fields | Mathematics |
| Institutions |
City University of New York Stony Brook University |
| Alma mater |
Princeton University Rice University |
| Doctoral advisor | William Browder |
| Doctoral students |
Harold Abelson Curtis T. McMullen Elmar Winkelnkemper |
| Known for | Work in topology, dynamical systems |
| Notable 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) |
Dennis Parnell Sullivan (born February 12, 1941) 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.
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.
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