Benson Farb

5.1k total citations · 2 hit papers
65 papers, 1.8k citations indexed

About

Benson Farb is a scholar working on Geometry and Topology, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Benson Farb has authored 65 papers receiving a total of 1.8k indexed citations (citations by other indexed papers that have themselves been cited), including 56 papers in Geometry and Topology, 43 papers in Mathematical Physics and 15 papers in Computational Theory and Mathematics. Recurrent topics in Benson Farb's work include Geometric and Algebraic Topology (42 papers), Homotopy and Cohomology in Algebraic Topology (28 papers) and Algebraic Geometry and Number Theory (12 papers). Benson Farb is often cited by papers focused on Geometric and Algebraic Topology (42 papers), Homotopy and Cohomology in Algebraic Topology (28 papers) and Algebraic Geometry and Number Theory (12 papers). Benson Farb collaborates with scholars based in United States, Netherlands and China. Benson Farb's co-authors include Dan Margalit, Thomas M. Church, Lee Mosher, Jordan S. Ellenberg, R. Keith Dennis, Alex Eskin, Howard Masur, Peter B. Shalen, Richard Evan Schwartz and David Fisher and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

Benson Farb

58 papers receiving 1.6k citations

Hit Papers

A Primer on Mapping Class... 2011 2026 2016 2021 2011 2017 100 200 300
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. A Primer on Mapping Class Groups
    2011 363 citations Benson Farb, Dan Margalit Princeton University Press eBooks profile →
  2. A Primer on Mapping Class Groups (PMS-49)
    2017 187 citations Benson Farb, Dan Margalit Princeton University Press eBooks profile →

Author Peers

Peers are selected by citation overlap in the author's most active subfields. citations · hero ref

Author Last Decade Papers Cites
Benson Farb 1.6k 1.3k 305 291 279 65 1.8k
Walter D. Neumann 1.6k 1.0× 1.1k 0.8× 414 1.4× 354 1.2× 243 0.9× 83 1.8k
Robion Kirby 1.5k 0.9× 1.3k 1.0× 314 1.0× 217 0.7× 233 0.8× 27 1.7k
Egbert Brieskorn 1.3k 0.8× 684 0.5× 251 0.8× 291 1.0× 262 0.9× 25 1.5k
Alexandru Dimca 1.1k 0.7× 598 0.4× 342 1.1× 301 1.0× 108 0.4× 118 1.3k
Eduard Looijenga 1.4k 0.9× 955 0.7× 175 0.6× 217 0.7× 204 0.7× 57 1.7k
Sylvain E. Cappell 935 0.6× 898 0.7× 143 0.5× 183 0.6× 225 0.8× 73 1.2k
Igor Dolgachev 1.4k 0.9× 859 0.6× 280 0.9× 256 0.9× 139 0.5× 58 1.6k
Finn F. Knudsen 1.1k 0.7× 718 0.5× 144 0.5× 255 0.9× 143 0.5× 15 1.3k
Mladen Bestvina 2.1k 1.3× 1.8k 1.4× 460 1.5× 580 2.0× 234 0.8× 63 2.3k
Alain Valette 785 0.5× 1.2k 0.9× 180 0.6× 152 0.5× 192 0.7× 69 1.4k

Countries citing papers authored by Benson Farb

Since Specialization
Citations

This map shows the geographic impact of Benson Farb's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Benson Farb with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Benson Farb more than expected).

Fields of papers citing papers by Benson Farb

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Benson Farb. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Benson Farb. The network helps show where Benson Farb may publish in the future.

Co-authorship network of co-authors of Benson Farb

This figure shows the co-authorship network connecting the top 25 collaborators of Benson Farb. A scholar is included among the top collaborators of Benson Farb based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Benson Farb. Benson Farb is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Farb, Benson. (2022). Global rigidity of the period mapping. Journal of Algebraic Geometry. 33(2). 199–212.
2.
3.
Farb, Benson, et al.. (2019). Coincidences between homological densities, predicted by arithmetic. Advances in Mathematics. 352. 670–716. 7 indexed citations
4.
Church, Thomas M. & Benson Farb. (2013). Representation theory and homological stability. Advances in Mathematics. 245. 250–314. 58 indexed citations
5.
Church, Thomas M., Jordan S. Ellenberg, & Benson Farb. (2012). FI-modules: a new approach to stability for S_n-representations. arXiv (Cornell University). 7 indexed citations
6.
Farb, Benson, et al.. (2011). Arithmetic Groups vs. Mapping Class Groups: Similarities, Analogies and Differences. Oberwolfach Reports. 8(2). 1637–1708. 1 indexed citations
7.
Farb, Benson & Dan Margalit. (2011). A Primer on Mapping Class Groups. Princeton University Press eBooks. 363 indexed citations breakdown →
8.
Farb, Benson, et al.. (2011). Irreducible Sp-representations and subgroup distortion in the mapping class group. Commentarii Mathematici Helvetici. 86(3). 537–556. 7 indexed citations
9.
Farb, Benson, Christopher J. Leininger, & Dan Margalit. (2011). Small dilatation pseudo-Anosov homeomorphisms and 3-manifolds. Advances in Mathematics. 228(3). 1466–1502. 10 indexed citations
10.
Farb, Benson. (2009). Group actions and Helly's theorem. Advances in Mathematics. 222(5). 1574–1588. 10 indexed citations
11.
Farb, Benson, et al.. (2007). The Casson invariant and the word metric on the Torelli group. Comptes Rendus Mathématique. 345(8). 449–452.
12.
Brock, Jeffrey & Benson Farb. (2006). Curvature and rank of Teichmüller space. American Journal of Mathematics. 128(1). 1–22. 25 indexed citations
13.
Brendle, Tara & Benson Farb. (2004). Every mapping class group is generated by 6 involutions. Journal of Algebra. 278(1). 187–198. 15 indexed citations
14.
Brendle, Tara & Benson Farb. (2003). Every mapping class group is generated by 3 torsion elements and by 7 involutions. arXiv (Cornell University). 2 indexed citations
15.
Farb, Benson. (2003). Geometry and Topology of 3-Dimensional Manifolds. OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information). 25(1-2). 1–6.
16.
Farb, Benson & Peter B. Shalen. (2002). Real-analytic, volume-preserving actions of lattices on 4-manifolds. Comptes Rendus Mathématique. 334(11). 1011–1014. 4 indexed citations
17.
Bridson, Martin R. & Benson Farb. (2001). A remark about actions of lattices on free groups. Topology and its Applications. 110(1). 21–24. 8 indexed citations
18.
Farb, Benson & Peter B. Shalen. (2000). Lattice actions, 3-manifolds and homology. Topology. 39(3). 573–587. 4 indexed citations
19.
Farb, Benson & Howard Masur. (1998). Superrigidity and mapping class groups. Topology. 37(6). 1169–1176. 42 indexed citations
20.
Farb, Benson. (1994). Relatively hyperbolic and automatic groups with applications to negatively curved manifolds. UMI eBooks. 11 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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