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Mathematics

D-Index
57
Citations
16859
World Ranking
678
National Ranking
343

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2010 - Wolf Prize in Mathematics for his innovative contributions to algebraic topology and conformal dynamics.
  • 2006 - Steele Prize for Lifetime Achievement
  • 1991 - Fellow of the American Association for the Advancement of Science (AAAS)
  • 1991 - Fellow of the American Academy of Arts and Sciences
  • 1983 - Member of the National Academy of Sciences

Overview

Dennis Sullivan is a researcher affiliated with Stony Brook University in the United States. Their primary field of study is Mathematics, with a focus on several subfields including Mathematical Physics, Geometry and Topology, Applied Mathematics, Computational Theory and Mathematics, and Computer Vision and Pattern Recognition.

The main research topics covered by their work include:

  • Homotopy and Cohomology in Algebraic Topology
  • Geometric Analysis and Curvature Flows
  • Algebraic structures and combinatorial models
  • Advanced Operator Algebra Research
  • Navier-Stokes equation solutions
  • Advanced Mathematical Physics Problems
  • Topological and Geometric Data Analysis

They have published papers in various academic venues, including:

  • The Quarterly Journal of Mathematics
  • Astérisque
  • Topology and its Applications
  • Contemporary Mathematics - American Mathematical Society
  • L'Enseignement Mathématique

Recent papers authored or coauthored by Dennis Sullivan include:

  • "Quantitative towers in finite difference calculus approximating the continuum," 2020, The Quarterly Journal of Mathematics
  • "Lattice Hydrodynamics," 2020, Astérisque
  • "Structure on the top homology and related algorithms," 2020, Topology and its Applications
  • "Rokhlin's theorem, a problem and a conjecture," 2021, Contemporary Mathematics - American Mathematical Society
  • "Complément to the Thurston 3D-geometrization picture," 2022, L'Enseignement Mathématique

Frequent coauthors collaborating with Dennis Sullivan include:

  • R. J. Lawrence
  • Nissim Ranade
  • Chandrika Sadanand
  • Alice Kwon
  • Ron Buckmire

Throughout their career, Dennis Sullivan has received various awards and honors reflecting their standing in the mathematical community. These include:

  • Fellow of the American Mathematical Society, 2013
  • Wolf Prize in Mathematics, 2010, for contributions to algebraic topology and conformal dynamics
  • Steele Prize for Lifetime Achievement, 2006
  • Fellow of the American Association for the Advancement of Science (AAAS), 1991
  • Fellow of the American Academy of Arts and Sciences, 1991
  • Member of the National Academy of Sciences, 1983

Best Publications

  • Infinitesimal computations in topology

    Dennis Sullivan

  • Real Homotopy Theory of Kähler Manifolds.

    Pierre Deligne;Phillip Griffiths;John Morgan;John Morgan;Dennis Sullivan

  • The density at infinity of a discrete group of hyperbolic motions

    Dennis Sullivan

  • On the dynamics of rational maps

    R. Mañé;P. Sad;D. Sullivan

  • Quasiconformal homeomorphisms and dynamics I. Solution of the Fatou-Julia problem on wandering domains

    Dennis Sullivan

  • Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups

    Dennis Sullivan

  • On The Ergodic Theory at Infinity of an Arbitrary Discrete Group of Hyperbolic Motions

    Dennis Sullivan

  • String Topology

    Moira Chas;Dennis Sullivan

  • The convergence of circle packings to the Riemann mapping

    Burt Rodin;Dennis Sullivan

  • Cycles for the dynamical study of foliated manifolds and complex manifolds

    Dennis Sullivan

  • Genetics of homotopy theory and the Adams conjecture

    Dennis Sullivan

  • Conformal dynamical systems

    Dennis Sullivan

  • Geometric Topology: Localization, Periodicity and Galois Symmetry: The 1970 MIT Notes

    Dennis P. Sullivan;Dennis Sullivan

  • The homology theory of the closed geodesic problem

    Micheline Vigué-Poirrier;Dennis Sullivan

  • Quasiconformal homeomorphisms and dynamics II: Structural stability implies hyperbolicity for Kleinian groups

    Dennis Sullivan

  • Related aspects of positivity in Riemannian geometry

    Dennis Sullivan

  • Symmetric structures on a closed curve

    Frederick P. Gardiner;Dennis P. Sullivan

  • Currents, flows and diffeomorphisms

    David Ruelle;Dennis Sullivan

  • Function theory, random paths and covering spaces

    Terry Lyons;Dennis Sullivan

  • Disjoint spheres, approximation by imaginary quadratic numbers, and the logarithm law for geodesics

    Dennis Sullivan

Frequent Co-Authors

Michael Shub
Michael Shub City College of New York
Andrew Ranicki
Andrew Ranicki University of Edinburgh
John W. Morgan
John W. Morgan Stony Brook University
Alain Connes
Alain Connes Collège de France
William J. Evans
William J. Evans University of California, Berkeley
David Ruelle
David Ruelle Institut des Hautes Études Scientifiques
Pierre Deligne
Pierre Deligne Institute for Advanced Study
Phillip A. Griffiths
Phillip A. Griffiths Institute for Advanced Study
Jeff Cheeger
Jeff Cheeger Courant Institute of Mathematical Sciences

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