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D-Index & Metrics

Mathematics

D-Index
33
Citations
8394
World Ranking
2986
National Ranking
1201

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 1999 - Fellow of Alfred P. Sloan Foundation

Overview

Benson Farb is affiliated with the University of Chicago in the United States and works primarily in the field of Mathematics. Their research spans multiple subfields, prominently including Geometry and Topology, Mathematical Physics, Discrete Mathematics and Combinatorics, Algebra and Number Theory, and Computational Theory and Mathematics.

Their work covers a range of topics with an emphasis on Algebraic Geometry and Number Theory, Geometric and Algebraic Topology, and Homotopy and Cohomology in Algebraic Topology. Additional areas of focus include Advanced Algebra and Geometry, Advanced Differential Equations and Dynamical Systems, Geometry and complex manifolds, and Polynomial and algebraic computation.

Benson Farb has published extensively in a variety of academic venues. Frequent publication sites include:

  • arXiv (Cornell University)
  • Journal of Differential Geometry
  • Compositio Mathematica
  • Mathematische Annalen
  • Journal of Algebraic Geometry

Notable recent papers authored by Benson Farb include:

  • The Nielsen realization problem for K3 surfaces (2024, Journal of Differential Geometry)
  • The essential dimension of congruence covers (2021, Compositio Mathematica)
  • Modular functions and resolvent problems (2022, Mathematische Annalen)
  • Resolvent degree, Hilbert's 13th Problem and geometry (2020, L'Enseignement Mathématique)
  • The Nielsen realization problem for K3 surfaces (2021, arXiv (Cornell University))

Frequent co-authors collaborating with Benson Farb include Eduard Looijenga, Jesse Wolfson, Mark Kisin, John Franks, and Peter B. Shalen.

Benson Farb has been recognized with memberships and fellowships in professional organizations. These include being named a Fellow of the American Mathematical Society in 2013 and a Fellow of the Alfred P. Sloan Foundation in 1999.

Best Publications

  • A Primer on Mapping Class Groups (Pms-49)

    Benson Farb;Dan Margalit

  • A primer on mapping class groups

    Unknown

  • Relatively Hyperbolic Groups

    B. Farb

  • FI-modules and stability for representations of symmetric groups

    Thomas Church;Jordan S. Ellenberg;Benson Farb

  • Representation theory and homological stability

    Thomas Church;Benson Farb

  • A rigidity theorem for the solvable Baumslag-Solitar groups

    Benson Farb;Lee Mosher

  • Convex cocompact subgroups of mapping class groups

    Benson Farb;Lee Mosher

  • FI-modules over Noetherian rings

    Thomas Church;Jordan S Ellenberg;Benson Farb;Rohit Nagpal

  • Quasi-isometric rigidity for the solvable Baumslag-Solitar groups, II

    Benson Farb;Lee Mosher

  • On the asymptotic geometry of abelian-by-cyclic groups

    Benson Farb;Lee Mosher

  • Superrigidity and mapping class groups

    Benson Farb;Howard Masur

  • Rank-1 phenomena for mapping class groups

    Benson Farb;Alexander Lubotzky;Yair Minsky

  • Quasi-flats and rigidity in higher rank symmetric spaces

    Alex Eskin;Benson Farb

  • FI-modules and stability for representations of symmetric groups

    Thomas Church;Jordan S. Ellenberg;Benson Farb

  • Some problems on mapping class groups and moduli space

    Benson Farb

  • CURVATURE AND RANK OF TEICHMULLER SPACE

    Jeffrey Brock;Benson Farb

  • Noncommutative Algebra

    Unknown

  • The large-scale geometry of Hilbert modular groups

    Benson Farb;Richard Schwartz

  • Groups of homeomorphisms of one-manifolds III: nilpotent subgroups

    Benson Farb;John Franks

  • The quasi-isometry classification of lattices in semisimple Lie groups

    Benson Farb

  • REAL-ANALYTIC ACTIONS OF LATTICES

    Benson Farb;Peter Shalen

  • Representation stability in cohomology and asymptotics for families of varieties over finite fields

    Thomas Church;Jordan S. Ellenberg;Benson Farb

  • The Torelli geometry and its applications

    Benson Farb;Nikolai V. Ivanov

  • FI-modules over Noetherian rings

    Thomas Church;Jordan S. Ellenberg;Benson Farb;Rohit Nagpal

Frequent Co-Authors

Eduard Looijenga
Eduard Looijenga Utrecht University
John Franks
John Franks Northwestern University
Howard Masur
Howard Masur University of Chicago
Amir H. Mohammadi
Amir H. Mohammadi University of KwaZulu-Natal
Michael M. Wolf
Michael M. Wolf Technical University of Munich
Igor V. Dolgachev
Igor V. Dolgachev University of Michigan–Ann Arbor
Alex Eskin
Alex Eskin University of Chicago
Alexander Lubotzky
Alexander Lubotzky Weizmann Institute of Science

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