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 Robert J. Zimmer 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

align trajectories

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.

A Primer on Mapping Class Groups

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

2017 187 citations Benson Farb, Dan Margalit Princeton University Press eBooks profile →

Peers

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

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20 of 20 papers shown

#	Work	Indexed citations
1	Rigidity of moduli spaces and algebro-geometric constructions 2021 ·Benson Farb	0
2	Coincidences between homological densities, predicted by arithmetic 2019 ·Advances in Mathematics ·Benson Farb, (unknown), Melanie Matchett Wood	7
3	Representation theory and homological stability 2013 ·Advances in Mathematics ·Thomas M. Church, Benson Farb	58
4	FI-modules: a new approach to stability for S_n-representations 2012 ·arXiv (Cornell University) ·Thomas M. Church, Jordan S. Ellenberg, Benson Farb	7
5	Arithmetic Groups vs. Mapping Class Groups: Similarities, Analogies and Differences 2011 ·Oberwolfach Reports ·Benson Farb, Lizhen Ji, (unknown), Werner Müller	1
6	A Primer on Mapping Class Groups breakdown → 2011 ·Princeton University Press eBooks ·Benson Farb, Dan Margalit	363
7	Irreducible Sp-representations and subgroup distortion in the mapping class group 2011 ·Commentarii Mathematici Helvetici ·(unknown), Benson Farb, Andrew Putman	7
8	Small dilatation pseudo-Anosov homeomorphisms and 3-manifolds 2011 ·Advances in Mathematics ·Benson Farb, Christopher J. Leininger, Dan Margalit	10
9	Group actions and Helly's theorem 2009 ·Advances in Mathematics ·Benson Farb	10
10	The Casson invariant and the word metric on the Torelli group 2007 ·Comptes Rendus Mathématique ·(unknown), Benson Farb, Andrew Putman	0
11	The Birman–Craggs–Johnson homomorphism and abelian cycles in the Torelli group 2007 ·Mathematische Annalen ·Tara Brendle, Benson Farb	5
12	Curvature and rank of Teichmüller space 2006 ·American Journal of Mathematics ·Jeffrey Brock, Benson Farb	25
13	Every mapping class group is generated by 6 involutions 2004 ·Journal of Algebra ·Tara Brendle, Benson Farb	15
14	Every mapping class group is generated by 3 torsion elements and by 7 involutions 2003 ·arXiv (Cornell University) ·Tara Brendle, Benson Farb	2
15	Geometry and Topology of 3-Dimensional Manifolds 2003 ·OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) ·Benson Farb	0
16	Real-analytic, volume-preserving actions of lattices on 4-manifolds 2002 ·Comptes Rendus Mathématique ·Benson Farb, Peter B. Shalen	4
17	A remark about actions of lattices on free groups 2001 ·Topology and its Applications ·Martin R. Bridson, Benson Farb	8
18	Lattice actions, 3-manifolds and homology 2000 ·Topology ·Benson Farb, Peter B. Shalen	4
19	Superrigidity and mapping class groups 1998 ·Topology ·Benson Farb, Howard Masur	42
20	Relatively hyperbolic and automatic groups with applications to negatively curved manifolds 1994 ·UMI eBooks ·Benson Farb	11

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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