Ian Agol

1.9k total citations
25 papers, 535 citations indexed

About

Ian Agol is a scholar working on Geometry and Topology, Mathematical Physics and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Ian Agol has authored 25 papers receiving a total of 535 indexed citations (citations by other indexed papers that have themselves been cited), including 23 papers in Geometry and Topology, 13 papers in Mathematical Physics and 6 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Ian Agol's work include Geometric and Algebraic Topology (23 papers), Mathematical Dynamics and Fractals (8 papers) and Homotopy and Cohomology in Algebraic Topology (7 papers). Ian Agol is often cited by papers focused on Geometric and Algebraic Topology (23 papers), Mathematical Dynamics and Fractals (8 papers) and Homotopy and Cohomology in Algebraic Topology (7 papers). Ian Agol collaborates with scholars based in United States, Canada and United Kingdom. Ian Agol's co-authors include William P. Thurston, D. D. Long, Joel Hass, Daniel Groves, Jason Fox Manning, Yi Liu, Peter B. Shalen, Marc Culler, Kevin Whyte and Tao Li and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Pacific Journal of Mathematics.

In The Last Decade

Ian Agol

25 papers receiving 489 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Ian Agol United States 11 492 389 137 132 89 25 535
Andreĭ Vesnin Russia 12 399 0.8× 224 0.6× 159 1.2× 81 0.6× 72 0.8× 72 443
Craig D. Hodgson Australia 11 489 1.0× 334 0.9× 151 1.1× 80 0.6× 161 1.8× 16 548
Daryl Cooper United States 10 328 0.7× 261 0.7× 70 0.5× 82 0.6× 104 1.2× 27 377
Lee Mosher United States 16 566 1.2× 475 1.2× 113 0.8× 106 0.8× 111 1.2× 33 609
J. Scott Carter United States 10 568 1.2× 404 1.0× 230 1.7× 123 0.9× 24 0.3× 26 596
Ian Hambleton Canada 14 601 1.2× 555 1.4× 127 0.9× 76 0.6× 93 1.0× 60 700
Andrew Casson United States 8 647 1.3× 546 1.4× 138 1.0× 97 0.7× 131 1.5× 10 698
Alan W. Reid United States 18 1.1k 2.2× 859 2.2× 308 2.2× 148 1.1× 173 1.9× 89 1.1k
Alberto Cavicchioli Italy 13 378 0.8× 282 0.7× 196 1.4× 172 1.3× 19 0.2× 104 475
Hamish Short France 19 803 1.6× 524 1.3× 293 2.1× 382 2.9× 62 0.7× 31 860

Countries citing papers authored by Ian Agol

Since Specialization
Citations

This map shows the geographic impact of Ian Agol'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 Ian Agol with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Ian Agol more than expected).

Fields of papers citing papers by Ian Agol

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Ian Agol. 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 Ian Agol. The network helps show where Ian Agol may publish in the future.

Co-authorship network of co-authors of Ian Agol

This figure shows the co-authorship network connecting the top 25 collaborators of Ian Agol. A scholar is included among the top collaborators of Ian Agol 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 Ian Agol. Ian Agol 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.
Agol, Ian, et al.. (2024). Dynamics of veering triangulations: infinitesimal components of their flow graphs and applications. Algebraic & Geometric Topology. 24(6). 3401–3453. 2 indexed citations
2.
Agol, Ian, et al.. (2022). Congruence RFRS towers. Annales de l’institut Fourier. 73(1). 307–333. 1 indexed citations
3.
Agol, Ian, Daniel Groves, & Jason Fox Manning. (2016). An Alternate Proof Of Wise's Malnormal Special\nQuotient Theorem.. Figshare. 10 indexed citations
4.
Agol, Ian, Christopher J. Leininger, & Dan Margalit. (2016). Pseudo-Anosov stretch factors and homology of mapping tori. Journal of the London Mathematical Society. 93(3). 664–682. 7 indexed citations
5.
Agol, Ian. (2013). The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves and Jason Manning). Documenta Mathematica. 18. 1045–1087. 133 indexed citations
6.
Agol, Ian & Yi Liu. (2011). Presentation length and Simon’s conjecture. Journal of the American Mathematical Society. 25(1). 151–187. 12 indexed citations
7.
Agol, Ian, Marc Culler, & Peter B. Shalen. (2010). Singular surfaces, mod 2 homology, and hyperbolic volume, I. Transactions of the American Mathematical Society. 362(7). 3463–3498. 4 indexed citations
8.
Agol, Ian. (2010). The minimal volume orientable hyperbolic 2-cusped 3-manifolds. Proceedings of the American Mathematical Society. 138(10). 3723–3732. 19 indexed citations
9.
Agol, Ian, Daniel Groves, & Jason Fox Manning. (2009). Residual finiteness, QCERF and fillings of hyperbolic groups. Geometry & Topology. 13(2). 1043–1073. 20 indexed citations
10.
Agol, Ian, Steven Boyer, & Xingru Zhang. (2008). Virtually fibered Montesinos links. Journal of Topology. 1(4). 993–1018. 4 indexed citations
11.
Agol, Ian. (2008). Criteria for virtual fibering. Journal of Topology. 1(2). 269–284. 72 indexed citations
12.
Agol, Ian, et al.. (2007). Lower bounds on volumes of hyperbolic Haken 3-manifolds. Journal of the American Mathematical Society. 20(4). 1053–1077. 40 indexed citations
13.
Agol, Ian, Marc Culler, & Peter B. Shalen. (2006). Dehn surgery, homology and hyperbolic volume. Algebraic & Geometric Topology. 6(5). 2297–2312. 10 indexed citations
14.
Agol, Ian, Joel Hass, & William P. Thurston. (2005). The computational complexity of knot genus and spanning area. Transactions of the American Mathematical Society. 358(9). 3821–3850. 29 indexed citations
15.
Agol, Ian, et al.. (2003). An algorithm to detect laminar 3-manifolds. 10 indexed citations
16.
Agol, Ian. (2003). Small 3-Manifolds of Large Genus. Geometriae Dedicata. 102(1). 53–64. 10 indexed citations
17.
Agol, Ian, Joel Hass, & William P. Thurston. (2002). 3-manifold knot genus is NP-complete. 2 indexed citations
18.
Agol, Ian, Joel Hass, & William P. Thurston. (2002). 3-manifold knot genus is NP-complete. 761–766. 10 indexed citations
19.
Agol, Ian, et al.. (2001). The Bianchi Groups Are Separable On Geometrically Finite Subgroups. Annals of Mathematics. 153(3). 599–599. 46 indexed citations
20.
Agol, Ian. (2000). Bounds on exceptional Dehn filling. Geometry & Topology. 4(1). 431–449. 55 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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