Benson Farb

Q: What Schools Are Affiliated With Benson Farb

Benson Farb is affiliated with the following schools: University of California, Berkeley, Princeton University, University of Chicago, Cornell University

Benson Farb's AcademicInfluence.com Rankings

Benson Farb

Mathematics

#838

World Rank

#1491

Historical Rank

#368

USA Rank

Measure Theory

#2759

World Rank

#3295

Historical Rank

#795

USA Rank

mathematics Degrees

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Mathematics

Benson Farb's Degrees

PhD Mathematics University of California, Berkeley

Why Is Benson Farb Influential?

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According to Wikipedia, Benson Stanley Farb is an American mathematician at the University of Chicago. His research fields include geometric group theory and low-dimensional topology. Early life A native of Norristown, Pennsylvania, Farb earned his bachelor's degree from Cornell University. In 1994, he obtained his doctorate from Princeton University, under supervision of William Thurston.

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Benson Farb's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

A primer on mapping class groups (2013) (1638)
A Primer on Mapping Class Groups (Pms-49) (2011) (907)
FI-modules and stability for representations of symmetric groups (2012) (342)
Representation theory and homological stability (2010) (219)
FI-modules over Noetherian rings (2012) (160)
Convex cocompact subgroups of mapping class groups (2001) (138)
Relatively Hyperbolic Groups (1998) (130)
Quasi-flats and rigidity in higher rank symmetric spaces (1997) (116)
Some problems on mapping class groups and moduli space (2006) (113)
Rank-1 phenomena for mapping class groups (2001) (107)
Superrigidity and mapping class groups (1998) (107)
Curvature and rank of Teichmüller space (2001) (91)
On the asymptotic geometry of abelian-by-cyclic groups (2000) (89)
The quasi-isometry classification of lattices in semisimple Lie groups (1997) (89)
Quasi-isometric rigidity for the solvable Baumslag-Solitar groups, II (1998) (84)
Representation stability in cohomology and asymptotics for families of varieties over finite fields (2013) (79)
The large-scale geometry of Hilbert modular groups (1996) (78)
Groups of homeomorphisms of one-manifolds III: nilpotent subgroups (2001) (75)
The Torelli geometry and its applications (2003) (72)
The Extrinsic Geometry of Subgroups and the Generalized Word Problem (1994) (54)
Real-analytic actions of lattices (1999) (53)
FI-modules: a new approach to stability for S_n-representations (2012) (51)
The lower central series and pseudo-Anosov dilatations (2006) (48)
Group actions and Helly's theorem (2008) (43)
The Degree Theorem in Higher Rank (2001) (42)
Problems on Mapping Class Groups And Related Topics (2006) (42)
Representation Stability (2014) (42)
The geometry of surface-by-free groups (2000) (42)
Problems on automorphism groups of nonpositively curved polyhedral complexes and their lattices (2008) (41)
Rank one phenomena for mapping class groups (2000) (39)
Isometries, rigidity and universal covers (2005) (38)
A rigidity theorem for the solvable Baumslag-Solitar groups (1998) (38)
Filling-invariants at infinity for manifolds of nonpositive curvature (1995) (37)
Every mapping class group is generated by 6 involutions (2003) (37)
Minimal Entropy Rigidity for Lattices in Products of Rank One Symmetric Spaces (2001) (33)
Problems on the geometry of finitely generated solvable groups (2000) (32)
Small dilatation pseudo-Anosov homeomorphisms and 3-manifolds (2011) (32)
Irreducible $\Sp$-representations and subgroup distortion in the mapping class group (2007) (31)
Topology and arithmetic of resultants , I (2016) (30)
A stability conjecture for the unstable cohomology of SL_n Z, mapping class groups, and Aut(F_n) (2012) (29)
Relatively hyperbolic and automatic groups with applications to negatively curved manifolds (1994) (26)
Etale homological stability and arithmetic statistics (2015) (24)
Geometry, Rigidity, and Group Actions (2011) (24)
Small dilatation pseudo-Anosovs and 3-manifolds (2009) (24)
Groups of real-analytic diffeomorphisms of the circle (2002) (23)
The Rational Cohomology of the Mapping Class Group Vanishes in its Virtual Cohomological Dimension (2011) (22)
Infinite generation of the kernels of the Magnus and Burau representations (2009) (21)
Commensurations of Out(Fn) (2007) (21)
Topology and arithmetic of resultants, I: spaces of rational maps (2015) (18)
Coincidences between homological densities, predicted by arithmetic (2019) (16)
Teichmuller geometry of moduli space, I: Distance minimizing rays and the Deligne-Mumford compactification (2008) (16)
Parameterized Abel–Jacobi maps and abelian cycles in the Torelli group (2010) (15)
Some recent applications of the barycenter method in geometry (2002) (15)
Integrality in the Steinberg module and the top-dimensional cohomology of SLn OK (2015) (15)
A remark about actions of lattices on free groups (2001) (15)
Group actions on one-manifolds, II: Extensions of H\ (2001) (14)
Resolvent degree, Hilbert’s 13th Problem and geometry (2018) (13)
Geometry of the Wiman–Edge pencil, I: algebro-geometric aspects (2017) (13)
The Birman–Craggs–Johnson homomorphism and abelian cycles in the Torelli group (2006) (13)
Every mapping class group is generated by 3 torsion elements and by 7 involutions (2003) (13)
The intrinsic asymmetry and inhomogeneity of Teichmüller space (2008) (12)
Groups of Homeomorphisms of One-Manifolds, I: Actions of Nonlinear Groups (2001) (12)
Harmonic splittings of surfaces (2000) (11)
Groups of Homeomorphisms of One-Manifolds, I: (2020) (11)
The Nielsen realization problem for K3 surfaces (2021) (11)
Lattice actions, 3-manifolds and homology (2000) (10)
Hidden symmetries and arithmetic manifolds (2004) (10)
Moving homology classes in finite covers of graphs (2015) (9)
The essential dimension of congruence covers (2019) (9)
On the geometric nature of characteristic classes of surface bundles (2011) (9)
Commensurability invariants for nonuniform tree lattices (2004) (9)
Real-analytic, volume-preserving actions of lattices on 4-manifolds (2002) (8)
K_g is not finitely generated (2009) (8)
Finite covers of graphs, their primitive homology, and representation theory (2016) (8)
A Strong Schottky Lemma for Nonpositively Curved Singular Spaces (2001) (8)
Coincidences of homological densities, predicted by arithmetic (2016) (8)
Corrigendum to “ Topology and arithmetic of resultants , I ” , New York J . Math . 22 ( 2016 ) , 801 – 821 (2019) (7)
Erratum for "The degree theorem in higher rank" (2014) (7)
Teichmuller geometry of moduli space, II: M(S) seen from far away (2008) (7)
Commensurations of Out(F_n) (2006) (7)
Geometry of the Wiman Pencil, I: Algebro-Geometric Aspects. (2017) (6)
Separability of Solvable Subgroups in Linear Groups (2004) (6)
$\mathcal{K}_{g}$ is not finitely generated (2006) (6)
Combing Lattices in Semisimple Lie Groups (1995) (5)
The Casson invariant and the word metric on the Torelli group (2007) (5)
Topology and arithmetic of resultants, II: the resultant $=1$ hypersurface (with an appendix by C. Cazanave) (2015) (4)
Quasi-isometric rigidity for the solvable (1997) (4)
Modular functions and resolvent problems (2019) (4)
Arithmeticity of the monodromy of the Wiman–Edge pencil (2019) (4)
Torelli buildings and their automorphisms (2014) (4)
Moduli Spaces of Riemann Surfaces (2013) (3)
Rigidity, Locally Symmetric Varieties, and the Grothendieck-Katz Conjecture (2009) (3)
Global rigidity of the period mapping (2021) (3)
The Grothendieck-Katz Conjecture for certain locally symmetric varieties (2008) (3)
Geometry of the Wiman–Edge pencil and the Wiman curve (2019) (3)
$\mathcal{K}_{g}$ is not finitely generated (2004) (3)
Essential dimension via prismatic cohomology (2021) (2)
The Jacobson Radical (1993) (2)
Arithmetic Groups vs. Mapping Class Groups: Similarities, Analogies and Differences (2011) (2)
A vanishing theorem for the homology of discrete subgroups of Sp(n, 1) and F4–20 (2016) (2)
Rigidity of moduli spaces and algebro-geometric constructions (2023) (1)
Hidden symmetry and arithmetic manifolds (2004) (1)
A G ] 1 3 N ov 2 01 5 Topology and arithmetic of resultants , II : the resultant = 1 hypersurface (2015) (1)
Every mapping class group is generated by 3 elements of finite order (2003) (1)
Parametrized Abel-Jacobi maps, a question of Johnson, and a homological stability conjecture for the Torelli group (2010) (1)
The Brauer Group (1993) (1)
LATTICES IN TREES AND HIGHER DIMENSIONAL COMPLEXES (2008) (1)
Higher period maps, a question of Johnson, and a homological stability conjecture for the Torelli group (2009) (1)
TOPIC PROPOSAL THE TOPOLOGY OF SURFACE BUNDLES (2012) (0)
Chapter Fifteen. Thurston’S Proof (2011) (0)
A stability conjecture for the unstable cohomology of mapping class groups , SL n Z , and Aut ( F n ) (2012) (0)
G T ] 6 S ep 2 00 1 Curvature and rank of Teichmüller space (2008) (0)
Chapter Twelve. Moduli Space (2011) (0)
Chapter Ten. Teichmüller Space (2011) (0)
Geometry of the Wiman–Edge pencil, I: algebro-geometric aspects (2018) (0)
Chapter Three. Dehn Twists (2011) (0)
Chapter Two. Mapping Class Group Basics (2011) (0)
J an 2 00 1 A strong Schottky Lemma for nonpositively curved singular spaces To John Stallings on his sixty-fifth birthday (2008) (0)
Chapter Nine. Braid Groups (2011) (0)
A T ] 2 0 O ct 2 01 7 Coincidences between homological densities , predicted by arithmetic (2017) (0)
The Space of Polynomials from 1540 to Today (2014) (0)
Topic Proposal: Configuration spaces and algebraic functions (2020) (0)
Burnside’s Theorem and Representations of Finite Groups (1993) (0)
Math 317 - Algebraic Topology (2012) (0)
J un 2 02 0 Irreducible Sp-representations and subgroup distortion in the mapping class group (2020) (0)
A vanishing theorem for the homology of discrete subgroups of $\mathrm{Sp}(n,1)$ and $\mathrm{F}_4^{-20}$ (2015) (0)
A ug 2 00 0 The geometry of surface-by-free groups (2008) (0)
BUNDLES, STIEFEL–WHITNEY CLASSES, & BRAID GROUPS (2015) (0)
Statement from the Editors (1992) (0)
Topic Proposal Applying Representation Stability to Arithmetic Statistics (2015) (0)
Chapter Eleven. Teichmüller Geometry (2011) (0)
Chapter Thirteen. The Nielsen–Thurston Classification (2011) (0)
Topic Proposal Cohomology of Configuration Spaces and Representation Stability (2018) (0)
Chapter Four. Generating The Mapping Class Group (2011) (0)
Geometry and Topology of 3-Dimensional Manifolds (2003) (0)
Chapter Fourteen. Pseudo-Anosov Theory (2011) (0)
TOPIC PROPOSAL THE MAPPING CLASS GROUP AND THE MODULI SPACE OF RIEMANN SURFACES (2014) (0)
Chapter One. Curves, Surfaces, and Hyperbolic Geometry (2011) (0)
Chapter Seven. Torsion (2011) (0)
Geometry of the Wiman–Edge pencil and the Wiman curve (2020) (0)
G R ] 2 2 Ju n 20 01 Convex cocompact subgroups of mapping class groups (0)
Erratum (2005) (0)
The extremal symmetry of arithmetic simplicial complexes (2010) (0)
2 2 Ju n 20 01 Convex cocompact subgroups of mapping class groups (0)
TOPOLOGICAL ENTROPY OF SIMPLE BRAIDS (2021) (0)
Topology and arithmetic of resultants, II: moduli spaces of magnetic monopoles (2015) (0)
Ju n 20 05 Isometries , rigidity and universal covers (2008) (0)
Contemporary Mathematics Representation stability in cohomology and asymptotics for families of varieties over finite fields (2013) (0)
A ug 2 00 4 Separability of Solvable Subgroups in Linear Groups (2009) (0)
Throught the Looking Glass: Symmetry, the Fourth Dimension, and Beyond (2014) (0)
Chapter Eight. The Dehn–Nielsen–Baer Theorem (2011) (0)
D G ] 1 0 M ay 2 00 4 Hidden symmetries and arithmetic manifolds (2022) (0)
Proposal : Rigidity of Lattices in Semisimple Lie Groups (2011) (0)
Commensurations of out(Fn) . Dynamics on blowups of the projective plane . Harish-Chandra homomorphisms and symplectic reflection algebras for wreath-products . Homological projective duality . Sur les équations d'Halphen et les actions de SL[2](c) (2007) (0)
The Global Dimension of a Ring (1993) (0)
Primitive Rings and the Density Theorem (1993) (0)
Moduli spaces and period mappings of genus one fibered K3 surfaces (2023) (0)
Chapter Six. The Symplectic Representation and the Torelli Group (2011) (0)
Moving homology classes in finite covers of graphs (2017) (0)
CURVATURE AND RANK OF TEICHMÜLLER SPACE By JEFFREY BROCK and BENSON FARB (2006) (0)
Ju l 2 00 4 Separability of Solvable Subgroups in Linear Groups (2008) (0)
Lattices in automorphism groups of polyhedral complexes (2007) (0)
The Brauer Group of a Commutative Ring (1993) (0)
Chapter Five. Presentations And Low-Dimensional Homology (2011) (0)
Root-Finding Algorithms and Hilbert ’ s 13 th Problem (2015) (0)
D G ] 8 M ar 2 00 0 Harmonic Splittings of Surfaces (2008) (0)
SMALL TORSION GENERATING SETS FOR MAPPING CLASS GROUPS (2020) (0)
Central Simple Algebras (1993) (0)
Semisimple Modules & Rings and the Wedderburn Structure Theorem (1993) (0)
Studying the mapping class group of a surface through its actions R (2008) (0)
g is not finitely generated (2009) (0)

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What Schools Are Affiliated With Benson Farb?

Benson Farb is affiliated with the following schools:

Benson Farb's Academic­Influence.com Rankings