Nationality American Fields Mathematics | Role Mathematician Name Dennis Sullivan | |
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Institutions City University of New YorkStony Brook University Alma mater Princeton UniversityRice University Doctoral students Harold AbelsonCurtis T. McMullenElmar 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) Awards Wolf Prize in Mathematics, Leroy P. Steele Prize, National Medal of Science for Mathematics and Computer Science Books Restorative Justice: Healing t, The Punishment of Crime i, Geometric Topology: Localizati, Geometric topology, The Struggle to be Huma Similar People Curtis T McMullen, Hal Abelson, Gerald Jay Sussman |
Dennis sullivan simplicity is the point
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.
Contents
- Dennis sullivan simplicity is the point
- Dennis sullivan the algebra of poincare duality and statistics for navier stokes
- Work in topology
- Work in dynamics
- Awards and honors
- Selected publications
- References

Dennis sullivan the algebra of poincare duality and statistics for navier stokes
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.