Ian Agol | Academic Influence

Ian Agol's AcademicInfluence.com Rankings

Ian Agol

Mathematics

#286

World Rank

#620

Historical Rank

#138

USA Rank

Measure Theory

#4651

World Rank

#5447

Historical Rank

#1293

USA Rank

mathematics Degrees

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Mathematics

Ian Agol's Degrees

PhD Mathematics University of California, Berkeley
Bachelors Mathematics Princeton University

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Why Is Ian Agol Influential?

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According to Wikipedia, Ian Agol is an American mathematician who deals primarily with the topology of three-dimensional manifolds. Education and career Agol graduated with B.S. in mathematics from the California Institute of Technology in 1992 and obtained his Ph.D. in 1998 from the University of California, San Diego. At UCSD, his advisor was Michael Freedman and his thesis was Topology of Hyperbolic 3-Manifolds. He is a professor at the University of California, Berkeley and a former professor at the University of Illinois at Chicago.

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Ian Agol'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

The virtual Haken conjecture (2012) (517)
Tameness of hyperbolic 3-manifolds (2004) (217)
Criteria for virtual fibering (2007) (187)
Bounds on exceptional Dehn filling (1999) (130)
Lower bounds on volumes of hyperbolic Haken 3-manifolds (1999) (119)
The Computational Complexity of Knot Genus and Spanning Area (2002) (112)
The Bianchi groups are separable on geometrically finite subgroups (2001) (98)
Ideal Triangulations of Pseudo-Anosov Mapping Tori (2010) (73)
The minimal volume orientable hyperbolic 2-cusped 3-manifolds (2008) (49)
The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves and Jason Manning). (2013) (48)
Residual finiteness, QCERF, and fillings of hyperbolic groups (2008) (45)
Finiteness of arithmetic hyperbolic reflection groups (2006) (43)
Finiteness of arithmetic Kleinian reflection groups (2005) (37)
AN ALTERNATE PROOF OF WISE’S MALNORMAL SPECIAL QUOTIENT THEOREM (2014) (35)
Small 3-Manifolds of Large Genus (2002) (30)
Dehn surgery, homology and hyperbolic volume (2005) (30)
Volume change under drilling (2001) (29)
An algorithm to detect laminar 3-manifolds (2002) (29)
Systoles of hyperbolic 4-manifolds (2006) (29)
Singular surfaces, mod 2 homology, and hyperbolic volume, I (2005) (28)
Pseudo‐Anosov stretch factors and homology of mapping tori (2014) (23)
Min-max theory and the energy of links (2012) (21)
3-MANIFOLD KNOT GENUS is NP-complete (2002) (21)
with an appendix by (2013) (17)
Virtual betti numbers of symmetric spaces (2006) (15)
Presentation length and Simon’s conjecture (2010) (10)
Certifying the Thurston Norm via SL(2,ℂ)-twisted Homology (2015) (10)
Virtually fibered Montesinos links (2008) (8)
Ribbon concordance of knots is a partial ordering (2022) (7)
Dynamics of veering triangulations: infinitesimal components of their flow graphs and applications (2022) (6)
Virtual properties of 3-manifolds dedicated to the memory of Bill Thurston (2014) (6)
Congruence RFRS towers (2019) (5)
Structure of the flow and Yamada polynomials of cubic graphs (2018) (4)
Hyperbolic four-manifolds with vanishing Seiberg-Witten invariants (2018) (4)
Tutte relations, TQFT, and planarity of cubic graphs (2015) (4)
Virtually fibred Montesinos Links (2008) (3)
Pants immersed in hyperbolic 3-manifolds (2008) (3)
Guts in Sutured Decompositions and the Thurston Norm (2022) (2)
Embedding Heegaard Decompositions (2019) (1)
Transcendental ending laminations (2004) (1)
The Bianchi groups are subgroup separable on geometrically finite subgroups (1998) (0)
Rigidity in hyperbolic Dehn filling (2019) (0)
Simplifying 3-manifolds in R^4 (2013) (0)
Surveys in 3-manifold topology (2022) (0)
2 4 D ec 2 00 5 Finiteness of arithmetic Kleinian reflection groups (2008) (0)
: Title : On a virtually gutless conjecture of Thurston (2007) (0)
The University of Chicago A Case Demostrating the Absence of Somatic Induction in Drosophila Author ( s ) : (2015) (0)
Peripheral birationality for 3-dimensional convex co-compact $PSL_2\mathbb{C}$ varieties (2022) (0)
Simplifying $3$-manifolds in ${\mathbb{R}}^4$ (2015) (0)
Simplifying 3-manifolds in R (2016) (0)

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