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Mathematics

D-Index
41
Citations
8934
World Ranking
1879
National Ranking
800

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 1987 - Fellow of Alfred P. Sloan Foundation

Overview

William M. Goldman is affiliated with the University of Maryland, College Park in the United States. Their main field of study is Mathematics, with an extensive concentration in Geometry and Topology, Mathematical Physics, Computational Theory and Mathematics, Applied Mathematics, and Algebra and Number Theory.

Their research work covers a range of topics including:

  • Geometric and Algebraic Topology
  • Homotopy and Cohomology in Algebraic Topology
  • Mathematical Dynamics and Fractals
  • Advanced Algebra and Geometry
  • Algebraic Geometry and Number Theory
  • Geometric Analysis and Curvature Flows
  • Advanced Topics in Algebra

William M. Goldman has contributed to several publication venues, frequently publishing in:

  • Contemporary Mathematics - American Mathematical Society
  • arXiv (Cornell University)
  • Geographical Review
  • Annales Henri Lebesgue
  • Forum Mathematicum

Among recent papers, the following are notable for their contribution to mathematics and related fields:

  • "Proper actions of discrete groups of affine transformations," 2020, arXiv (Cornell University)
  • "Tameness of Margulis space-times with parabolics," 2022, Forum Mathematicum
  • "RELATING WEATHER TRENDS AND RESIDENCE LENGTH TO LOCAL CLIMATE CHANGE CONCERNS IN KNOXVILLE, TENNESSEE," 2023, Geographical Review
  • "Non-ergodicity on SU(2) and SU(3) character varieties of the once-punctured torus," 2024, Annales Henri Lebesgue
  • "Parallelism on Lie groups and Fox's free differential calculus," 2020, Contemporary Mathematics - American Mathematical Society

Frequent co-authors with whom William M. Goldman has collaborated include:

  • Giovanni Forni
  • Sean Lawton
  • Carlos Matheus
  • Todd A. Drumm
  • Daniel Burow

William M. Goldman's work also includes book publications, notably the book titled Geometric Structures on Manifolds published by the American Mathematical Society in 2022.

Their career has been marked by recognition within the mathematical community, having received honors such as:

  • Fellow of the American Mathematical Society, 2013
  • Fellow of Alfred P. Sloan Foundation, 1987

Best Publications

  • The Symplectic Nature of Fundamental Groups of Surfaces

    William M Goldman

  • Invariant functions on Lie groups and Hamiltonian flows of surface group representations

    William M. Goldman

  • Complex Hyperbolic Geometry

    William Mark Goldman

  • The deformation theory of representations of fundamental groups of compact Kähler manifolds

    William M. Goldman;John J. Millson

  • Topological components of spaces of representations.

    William M. Goldman

  • Convex real projective structures on compact surfaces

    William M. Goldman

  • Three-dimensional affine crystallographic groups☆

    David Fried;William M Goldman

  • Projective structures with Fuchsian holonomy

    William M. Goldman

  • Convex real projective structures on closed surfaces are closed

    Suhyoung Choi;William M. Goldman

  • Ergodic theory on moduli spaces

    William M. Goldman

  • Affine manifolds with nilpotent holonomy

    David Fried;William Goldman;Morris W. Hirsch

  • GEOMETRIC STRUCTURES ON MANIFOLDS AND VARIETIES OF REPRESENTATIONS

    Unknown

  • The modular group action on real SL(2)–characters of a one-holed torus

    William M Goldman

  • Local rigidity of discrete groups acting on complex hyperbolic space.

    W. M. Goldman;J. J. Millson

  • The homotopy invariance of the Kuranishi space

    William M. Goldman;John J. Millson

  • Nonstandard Lorentz space forms

    William M. Goldman

  • Topology and Geometry.

    William Goldman;Glen E. Bredon

  • Complex hyperbolic ideal triangle groups.

    W.M. Goldman;John R. Parker

  • Representations of fundamental groups of surfaces

    William M. Goldman

  • Notes on a paper of Mess

    Lars Andersson;Thierry Barbot;Riccardo Benedetti;Francesco Bonsante

  • The fundamental group of a compact flat Lorentz space form is virtually polycyclic

    William M. Goldman;Yoshinobu Kamishima

  • Trace Coordinates on Fricke spaces of some simple hyperbolic surfaces

    William M. Goldman

Frequent Co-Authors

Morris W. Hirsch
Morris W. Hirsch University of California, Berkeley
Gregory Margulis
Gregory Margulis Yale University
Walter D. Neumann
Walter D. Neumann Columbia University
Alexander Lubotzky
Alexander Lubotzky Weizmann Institute of Science
Michael Kapovich
Michael Kapovich University of California, Davis
Kirill Krasnov
Kirill Krasnov University of Nottingham

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