# zbMATH — the first resource for mathematics

## Agol, Ian

Compute Distance To:
 Author ID: agol.ian Published as: Agol, Ian; Agol, I. Homepage: http://math.berkeley.edu/~ianagol/ External Links: MGP · ORCID · Wikidata · Google Scholar · MathOverflow · dblp Awards: Clay Research Award (2009) · Breakthrough Prize in Mathematics (2015)
 Documents Indexed: 31 Publications since 2000 Biographic References: 2 Publications
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#### Co-Authors

 11 single-authored 3 Thurston, William Paul 2 Culler, Marc 2 Dunfield, Nathan M. 2 Groves, Daniel P. 2 Hass, Joel 2 Krushkal, Vyacheslav S. 2 Manning, Jason Fox 2 Shalen, Peter B. 2 Storm, Peter A. 1 Arroja Neves, André 1 Belolipetsky, Mikhail V. 1 Boyer, Steven 1 Calegari, Danny Matthew Cornelius 1 Farb, Benson 1 Freedman, Michael Hartley 1 Gabai, David 1 Kerckhoff, Steve 1 Lei, Tan 1 Leininger, Christopher J. 1 Li, Tao 1 Lin, Francesco 1 Liu, Yi 1 Long, Darren D. 1 Margalit, Dan 1 Marques, Fernando Codá 1 McMullen, Curtis Tracy 1 Minsky, Yair N. 1 Mosher, Lee 1 Reid, Alan W. 1 Walsh, Genevieve S. 1 Weeks, Jeff 1 Whyte, Kevin 1 Wood, Carol 1 Zhang, Xingru
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#### Serials

 5 Geometry & Topology 3 Journal of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Journal of Topology 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Notices of the American Mathematical Society 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Documenta Mathematica 1 Annals of Mathematics. Second Series 1 Algebraic & Geometric Topology 1 Groups, Geometry, and Dynamics 1 Forum of Mathematics, Pi
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#### Fields

 27 Manifolds and cell complexes (57-XX) 7 Group theory and generalizations (20-XX) 4 Functions of a complex variable (30-XX) 4 Differential geometry (53-XX) 3 Number theory (11-XX) 2 Combinatorics (05-XX) 2 Topological groups, Lie groups (22-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Algebraic topology (55-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Global analysis, analysis on manifolds (58-XX)

#### Citations contained in zbMATH Open

27 Publications have been cited 506 times in 405 Documents Cited by Year
The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves and Jason Manning). Zbl 1286.57019
Agol, Ian
2013
Criteria for virtual fibering. Zbl 1148.57023
Agol, Ian
2008
Bounds on exceptional Dehn filling. Zbl 0959.57009
Agol, Ian
2000
Lower bounds on volumes of hyperbolic Haken 3-manifolds. Zbl 1155.58016
Agol, Ian; Storm, Peter A.; Thurston, William P.; Dunfield, Nathan
2007
The Bianchi groups are separable on geometrically finite subgroups. Zbl 1067.20067
Agol, I.; Long, D. D.; Reid, A. W.
2001
Ideal triangulations of pseudo-Anosov mapping tori. Zbl 1335.57026
Agol, Ian
2011
The computational complexity of knot genus and spanning area. Zbl 1098.57003
Agol, Ian; Hass, Joel; Thurston, William
2006
Residual finiteness, QCERF and fillings of hyperbolic groups. Zbl 1229.20037
Agol, Ian; Groves, Daniel; Manning, Jason Fox
2009
Finiteness of arithmetic Kleinian reflection groups. Zbl 1102.30042
Agol, Ian
2006
The minimal volume orientable hyperbolic 2-cusped 3-manifolds. Zbl 1203.57006
Agol, Ian
2010
Pants immersed in hyperbolic 3-manifolds. Zbl 1178.57017
Agol, Ian
2009
Finiteness of arithmetic hyperbolic reflection groups. Zbl 1194.22011
Agol, Ian; Belolipetsky, Mikhail; Storm, Peter; Whyte, Kevin
2008
Singular surfaces, mod 2 homology, and hyperbolic volume, I. Zbl 1195.57037
Agol, Ian; Culler, Marc; Shalen, Peter B.
2010
Presentation length and Simon’s conjecture. Zbl 1237.57002
Agol, Ian; Liu, Yi
2012
Dehn surgery, homology and hyperbolic volume. Zbl 1129.57019
Agol, Ian; Culler, Marc; Shalen, Peter B.
2006
Bounds on exceptional Dehn filling. II. Zbl 1201.57011
Agol, Ian
2010
Virtual properties of 3-manifolds. Zbl 1379.57001
Agol, Ian
2014
3-manifold knot genus is NP-complete. Zbl 1192.68305
Agol, Ian; Hass, Joel; Thurston, William
2002
Min-max theory and the energy of links. Zbl 1335.57009
Agol, Ian; Marques, Fernando C.; Neves, André
2016
Volume change under drilling. Zbl 1031.57014
Agol, Ian
2002
Small 3-manifolds of large genus. Zbl 1039.57008
Agol, Ian
2003
An algorithm to detect laminar 3-manifolds. Zbl 1037.57008
Agol, Ian; Li, Tao
2003
Pseudo-Anosov stretch factors and homology of mapping tori. Zbl 1388.37033
Agol, Ian; Leininger, Christopher J.; Margalit, Dan
2016
An alternate proof of Wise’s malnormal special quotient theorem. Zbl 1380.20047
Agol, Ian; Groves, Daniel; Fox Manning, Jason
2016
Virtually fibered Montesinos links. Zbl 1168.57004
Agol, Ian; Boyer, Steven; Zhang, Xingru
2008
Tutte relations, TQFT, and planarity of cubic graphs. Zbl 1365.05137
Agol, Ian; Krushkal, Vyacheslav
2016
Certifying the Thurston norm via SL$$(2,\mathbb{C})$$-twisted homology. Zbl 1452.57011
Agol, Ian; Dunfield, Nathan M.
2020
Certifying the Thurston norm via SL$$(2,\mathbb{C})$$-twisted homology. Zbl 1452.57011
Agol, Ian; Dunfield, Nathan M.
2020
Min-max theory and the energy of links. Zbl 1335.57009
Agol, Ian; Marques, Fernando C.; Neves, André
2016
Pseudo-Anosov stretch factors and homology of mapping tori. Zbl 1388.37033
Agol, Ian; Leininger, Christopher J.; Margalit, Dan
2016
An alternate proof of Wise’s malnormal special quotient theorem. Zbl 1380.20047
Agol, Ian; Groves, Daniel; Fox Manning, Jason
2016
Tutte relations, TQFT, and planarity of cubic graphs. Zbl 1365.05137
Agol, Ian; Krushkal, Vyacheslav
2016
Virtual properties of 3-manifolds. Zbl 1379.57001
Agol, Ian
2014
The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves and Jason Manning). Zbl 1286.57019
Agol, Ian
2013
Presentation length and Simon’s conjecture. Zbl 1237.57002
Agol, Ian; Liu, Yi
2012
Ideal triangulations of pseudo-Anosov mapping tori. Zbl 1335.57026
Agol, Ian
2011
The minimal volume orientable hyperbolic 2-cusped 3-manifolds. Zbl 1203.57006
Agol, Ian
2010
Singular surfaces, mod 2 homology, and hyperbolic volume, I. Zbl 1195.57037
Agol, Ian; Culler, Marc; Shalen, Peter B.
2010
Bounds on exceptional Dehn filling. II. Zbl 1201.57011
Agol, Ian
2010
Residual finiteness, QCERF and fillings of hyperbolic groups. Zbl 1229.20037
Agol, Ian; Groves, Daniel; Manning, Jason Fox
2009
Pants immersed in hyperbolic 3-manifolds. Zbl 1178.57017
Agol, Ian
2009
Criteria for virtual fibering. Zbl 1148.57023
Agol, Ian
2008
Finiteness of arithmetic hyperbolic reflection groups. Zbl 1194.22011
Agol, Ian; Belolipetsky, Mikhail; Storm, Peter; Whyte, Kevin
2008
Virtually fibered Montesinos links. Zbl 1168.57004
Agol, Ian; Boyer, Steven; Zhang, Xingru
2008
Lower bounds on volumes of hyperbolic Haken 3-manifolds. Zbl 1155.58016
Agol, Ian; Storm, Peter A.; Thurston, William P.; Dunfield, Nathan
2007
The computational complexity of knot genus and spanning area. Zbl 1098.57003
Agol, Ian; Hass, Joel; Thurston, William
2006
Finiteness of arithmetic Kleinian reflection groups. Zbl 1102.30042
Agol, Ian
2006
Dehn surgery, homology and hyperbolic volume. Zbl 1129.57019
Agol, Ian; Culler, Marc; Shalen, Peter B.
2006
Small 3-manifolds of large genus. Zbl 1039.57008
Agol, Ian
2003
An algorithm to detect laminar 3-manifolds. Zbl 1037.57008
Agol, Ian; Li, Tao
2003
3-manifold knot genus is NP-complete. Zbl 1192.68305
Agol, Ian; Hass, Joel; Thurston, William
2002
Volume change under drilling. Zbl 1031.57014
Agol, Ian
2002
The Bianchi groups are separable on geometrically finite subgroups. Zbl 1067.20067
Agol, I.; Long, D. D.; Reid, A. W.
2001
Bounds on exceptional Dehn filling. Zbl 0959.57009
Agol, Ian
2000
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#### Cited by 473 Authors

 15 Friedl, Stefan 11 Agol, Ian 10 Reid, Alan W. 10 Shalen, Peter B. 9 Wise, Daniel T. 9 Zalesskii, Pavel 7 Culler, Marc 7 Groves, Daniel P. 7 Lackenby, Marc 7 Liu, Yi 7 Sisto, Alessandro 6 Dunfield, Nathan M. 6 Futer, David 6 Hagen, Mark F. 6 Koberda, Thomas 5 Atkinson, Christopher K. 5 Belolipetsky, Mikhail V. 5 Haglund, Frédéric 5 Leininger, Christopher J. 5 Li, Tao 5 Manning, Jason Fox 5 Rubinstein, J. Hyam 5 Sun, Hongbin 5 Tillmann, Stephan 5 Vidussi, Stefano 4 Baker, Mark D. 4 Bergeron, Nicolas 4 Boileau, Michel Charles 4 Boyer, Steven 4 Burton, Benjamin A. 4 Calegari, Danny Matthew Cornelius 4 Guéritaud, François 4 Huang, Jingyin 4 Ichihara, Kazuhiro 4 Long, Darren D. 4 Ma, Jiming 4 Zhang, Xingru 3 Bridson, Martin R. 3 Deblois, Jason 3 Derbez, Pierre 3 Jaikin-Zapirain, Andrei 3 Kitayama, Takahiro 3 Linowitz, Benjamin 3 Lück, Wolfgang 3 Margalit, Dan 3 Martínez-Pedroza, Eduardo 3 McReynolds, David Ben 3 Minasyan, Ashot 3 Minsky, Yair N. 3 Ni, Yi 3 Qiu, Ruifeng 3 Raimbault, Jean 3 Rieck, Yo’av 3 Sauer, Roman 3 Segerman, Henry 3 Storm, Peter A. 3 Suzuki, Masaaki 3 Taylor, Samuel Joseph 3 Tran, Anh Tuan 3 Wang, Shi Cheng 3 Wilkes, Gareth 3 Wilton, Henry John Rutley 2 Adams, Colin C. 2 Arroja Neves, André 2 Baldwin, John A. 2 Beeker, Benjamin 2 Behrstock, Jason A. 2 Bestvina, Mladen 2 Brock, Jeffrey F. 2 Chagas, Sheila C. 2 Champanerkar, Abhijit 2 Chepoi, Victor D. 2 Cooper, Daryl 2 Dahmani, François 2 De Mesmay, Arnaud 2 Delzant, Thomas 2 Frigerio, Roberto 2 Genevois, Anthony 2 Giambrone, Adam 2 Girão, Darlan 2 Görner, Matthias 2 Grunewald, Fritz J. 2 Guirardel, Vincent 2 Guo, Xiao 2 Guzman, Rosemary K. 2 Hodgson, Craig D. 2 Hoste, Jim 2 Hull, Michael B. 2 Ishikawa, Masaharu 2 Kalfagianni, Efstratia 2 Kang, Ensil 2 Kapovich, Michael 2 Kharlampovich, Olga G. 2 Kielak, Dawid 2 Kim, Sang-Hyun 2 Kin, Eiko 2 Kionke, Steffen 2 Kofman, Ilya 2 Kojima, Sadayoshi 2 Lakeland, Grant S. ...and 373 more Authors
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#### Cited in 94 Serials

 37 Algebraic & Geometric Topology 26 Geometry & Topology 22 Geometriae Dedicata 22 Proceedings of the American Mathematical Society 19 Transactions of the American Mathematical Society 19 Topology and its Applications 15 Journal of Knot Theory and its Ramifications 14 Israel Journal of Mathematics 13 Groups, Geometry, and Dynamics 10 Advances in Mathematics 9 Journal of the American Mathematical Society 8 Journal of Topology 7 Duke Mathematical Journal 7 Journal of Algebra 7 Geometric and Functional Analysis. GAFA 6 Annales de l’Institut Fourier 6 Inventiones Mathematicae 6 Mathematische Annalen 6 Journal of Group Theory 5 Mathematische Zeitschrift 5 International Journal of Algebra and Computation 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Experimental Mathematics 5 Annals of Mathematics. Second Series 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Discrete & Computational Geometry 4 Bulletin of the American Mathematical Society. New Series 4 Journal of the European Mathematical Society (JEMS) 4 Proceedings of the Steklov Institute of Mathematics 4 Winter Braids Lecture Notes 3 Compositio Mathematica 3 Transformation Groups 3 Journal of Topology and Analysis 2 Communications in Mathematical Physics 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Rocky Mountain Journal of Mathematics 2 Commentarii Mathematici Helvetici 2 Indiana University Mathematics Journal 2 Journal of the London Mathematical Society. Second Series 2 Journal of Pure and Applied Algebra 2 Nagoya Mathematical Journal 2 Tohoku Mathematical Journal. Second Series 2 Ergodic Theory and Dynamical Systems 2 International Journal of Mathematics 2 L’Enseignement Mathématique. 2e Série 2 Bulletin des Sciences Mathématiques 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Journal of the Institute of Mathematics of Jussieu 2 Science China. Mathematics 1 American Mathematical Monthly 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 ACM Transactions on Mathematical Software 1 Acta Mathematica 1 Illinois Journal of Mathematics 1 Journal of Combinatorial Theory. Series A 1 Journal of Combinatorial Theory. Series B 1 Journal of Computer and System Sciences 1 Journal of Differential Geometry 1 Journal of Functional Analysis 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 Algorithmica 1 Computational Geometry 1 The Journal of Geometric Analysis 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 New Zealand Journal of Mathematics 1 Calculus of Variations and Partial Differential Equations 1 Selecta Mathematica. New Series 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Doklady Mathematics 1 Theory of Computing Systems 1 Conformal Geometry and Dynamics 1 Communications in Contemporary Mathematics 1 Journal of High Energy Physics 1 Annales Henri Poincaré 1 Advances in Geometry 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Groups, Complexity, Cryptology 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Bulletin of Mathematical Sciences 1 Forum of Mathematics, Pi 1 Forum of Mathematics, Sigma 1 Research in the Mathematical Sciences 1 Annals of $$K$$-Theory 1 Transactions of the American Mathematical Society. Series B 1 Journal of Applied and Computational Topology
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#### Cited in 35 Fields

 289 Manifolds and cell complexes (57-XX) 175 Group theory and generalizations (20-XX) 32 Differential geometry (53-XX) 27 Topological groups, Lie groups (22-XX) 25 Functions of a complex variable (30-XX) 21 Number theory (11-XX) 21 Dynamical systems and ergodic theory (37-XX) 18 Computer science (68-XX) 16 Combinatorics (05-XX) 15 Geometry (51-XX) 14 Global analysis, analysis on manifolds (58-XX) 10 Convex and discrete geometry (52-XX) 10 Algebraic topology (55-XX) 7 Associative rings and algebras (16-XX) 7 Several complex variables and analytic spaces (32-XX) 6 $$K$$-theory (19-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Functional analysis (46-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Mathematical logic and foundations (03-XX) 3 Algebraic geometry (14-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Category theory; homological algebra (18-XX) 2 Measure and integration (28-XX) 2 General topology (54-XX) 2 Probability theory and stochastic processes (60-XX) 2 Information and communication theory, circuits (94-XX) 1 Abstract harmonic analysis (43-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX)

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