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Dennis Sullivan

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Nationality
  
American

Doctoral advisor
  
Fields
  
Mathematics

Role
  
Mathematician

Name
  
Dennis Sullivan


Dennis Sullivan sbccstonybrookeduhappeningswpcontentuploads

Born
  
February 12, 1941 (age 83) Port Huron, Michigan (
1941-02-12
)

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

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 wwwbalzanorguploadSullivanDennisPremioBalzan

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


Work in topology

Dennis Sullivan Dennis Sullivan Wikipedia

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.

Dennis Sullivan Stony Brook Professor Dennis Sullivan Receives Balzan Prize for

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.

Dennis Sullivan String Topology Dennis Sullivan YouTube

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"
  • 2012 Fellow of the American Mathematical Society
  • 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

    Dennis Sullivan Wikipedia