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Dunfield, Nathan M.

Author ID: dunfield.nathan-m Recent zbMATH articles by "Dunfield, Nathan M."
Published as: Dunfield, Nathan M.; Dunfield, Nathan
External Links: MGP · Wikidata
all top 5

Co-Authors

7 single-authored
7 Garoufalidis, Stavros
3 Brown, Nathanial P.
3 Calegari, Danny Matthew Cornelius
3 Perry, Greg
3 Thurston, William Paul
2 Agol, Ian
2 Brock, Jeffrey F.
2 Kionke, Steffen
2 Obeidin, Malik
2 Raimbault, Jean
2 Rasmussen, Jacob A.
2 Rudd, Cameron Gates
2 Shumakovitch, Alexander N.
2 Thistlethwaite, Morwen B.
2 Thurston, Dylan Paul
1 Aaber, John W.
1 Allison, James T.
1 Andersen, Jørgen Ellegaard
1 Bar-Natan, Dror
1 Baseilhac, Stéphane
1 Benedetti, Riccardo
1 Boileau, Michel Charles
1 Boyd, David William
1 Calegari, Frank
1 Carter, J. Scott
1 Culler, Marc
1 Deloup, Florian L.
1 Fenn, Roger A.
1 Ferrand, Emmanuel
1 Friedl, Stefan
1 Givans, Zane R.
1 Gong, Sherry
1 Goussarov, Mikhail
1 Guadagnini, Enore
1 Gukov, Sergei
1 Habiro, H.
1 Hansen, Søren Kold
1 Harikae, Toshio
1 Hirani, Anil N.
1 Hockenhull, Thomas
1 Hoffman, Neil R.
1 Jackson, Nicholas
1 James, Kai A.
1 Jones, Vaughan Frederick Randal
1 Kashaev, Rinat M.
1 Kawahigashi, Yasuyuki
1 Kerler, Thomas
1 Kidwell, Mark Elliot
1 Kohno, Toshitake
1 Kricker, Andrew
1 Le, Thang Tu Quoc
1 Lescop, Christine
1 Licata, Joan E.
1 Lipshitz, Robert
1 Marengon, Marco
1 Masbaum, Gregor
1 Massuyeau, Gwénaël
1 Morton, Hugh R.
1 Murakami, Hitoshi
1 Murakami, Jun
1 Nakanishi, Yasutaka
1 Ohtsuki, Tomotada
1 Ohyama, Yoshiyuki
1 Okamoto, Miyuki
1 Okuda, Nobuki
1 Peddada, Satya R. T.
1 Pilo, Luigi
1 Polyak, Michael
1 Przytycki, Józef Henryk
1 Ramakrishnan, Dinakar
1 Roberts, Justin
1 Rodriguez-Villegas, Fernando
1 Rourke, Colin P.
1 Rozansky, Lev
1 Rubinstein, J. Hyam
1 Sanderson, Brian J.
1 Sato, Nobuya
1 Schütz, Dirk
1 Stanford, Theodore B.
1 Stoimenow, Alexander
1 Storm, Peter A.
1 Takata, Toshie
1 Tiozzo, Giulio
1 Turaev, Vladimir Georgievich
1 Viro, Oleg Ya.
1 Willerton, Simon
1 Willis, Michael
1 Wong, Helen M.
1 Yokota, Yoshiyuki
1 Yoon, Seokbeom
1 Zeidner, Lawrence E.

Publications by Year

Citations contained in zbMATH Open

34 Publications have been cited 637 times in 555 Documents Cited by Year
The superpolynomial for knot homologies. Zbl 1118.57012
Dunfield, Nathan M.; Gukov, Sergei; Rasmussen, Jacob
136
2006
Finite covers of random 3-manifolds. Zbl 1111.57013
Dunfield, Nathan M.; Thurston, William P.
59
2006
Lower bounds on volumes of hyperbolic Haken 3-manifolds. Zbl 1155.58016
Agol, Ian; Storm, Peter A.; Thurston, William P.; Dunfield, Nathan
53
2007
Cyclic surgery, degrees of maps of character curves, and volume rigidity for hyperbolic manifolds. Zbl 0928.57012
Dunfield, Nathan M.
51
1999
Laminations and groups of homeomorphisms of the circle. Zbl 1025.57018
Calegari, Danny; Dunfield, Nathan M.
49
2003
The virtual Haken conjecture: Experiments and examples. Zbl 1037.57015
Dunfield, Nathan M.; Thurston, William P.
29
2003
Twisted Alexander polynomials of hyperbolic knots. Zbl 1266.57008
Dunfield, Nathan M.; Friedl, Stefan; Jackson, Nicholas
25
2012
A random tunnel number one 3-manifold does not fiber over the circle. Zbl 1139.57018
Dunfield, Nathan M.; Thurston, Dylan P.
21
2006
Automorphic forms and rational homology 3-spheres. Zbl 1103.57007
Calegari, Frank; Dunfield, Nathan M.
21
2006
Non-triviality of the \(A\)-polynomial for knots in \(S^3\). Zbl 1063.57012
Dunfield, Nathan M.; Garoufalidis, Stavros
20
2004
Closed surface bundles of least volume. Zbl 1205.57018
Aaber, John W.; Dunfield, Nathan
20
2010
Orderability and Dehn filling. Zbl 1392.57012
Culler, Marc; Dunfield, Nathan M.
16
2018
Injectivity radii of hyperbolic integer homology 3-spheres. Zbl 1312.57022
Brock, Jeffrey F.; Dunfield, Nathan M.
15
2015
Alexander and Thurston norms of fibered 3-manifolds. Zbl 1049.57012
Dunfield, Nathan M.
14
2001
On geometric aspects of diffuse groups. With an appendix by Nathan Dunfield. Zbl 1410.22004
Kionke, Steffen; Raimbault, Jean
13
2016
Asymmetric hyperbolic \(L\)-spaces, Heegaard genus, and Dehn filling. Zbl 1351.57022
Dunfield, Nathan M.; Hoffman, Neil R.; Licata, Joan E.
11
2015
A table of boundary slopes of Montesinos knots. Zbl 0967.57014
Dunfield, Nathan M.
11
2001
Incompressibility criteria for spun-normal surfaces. Zbl 1281.57012
Dunfield, Nathan M.; Garoufalidis, Stavros
10
2012
Examples of non-trivial roots of unity at ideal points of hyperbolic 3-manifolds. Zbl 0923.57004
Dunfield, Nathan M.
10
1999
Norms on the cohomology of hyperbolic 3-manifolds. Zbl 1379.57023
Brock, Jeffrey F.; Dunfield, Nathan M.
9
2017
Quantum invariants of random 3-manifolds. Zbl 1236.57017
Dunfield, Nathan M.; Wong, Helen
8
2011
Certifying the Thurston norm via SL\((2,\mathbb{C})\)-twisted homology. Zbl 1452.57011
Agol, Ian; Dunfield, Nathan M.
8
2020
Floer homology, group orderability, and taut foliations of hyperbolic 3-manifolds. Zbl 1469.57020
Dunfield, Nathan M.
8
2020
The least spanning area of a knot and the optimal bounding chain problem. Zbl 1283.68357
Dunfield, Nathan M.; Hirani, Anil N.
6
2011
A census of exceptional Dehn fillings. Zbl 1460.57021
Dunfield, Nathan M.
6
2020
A knot without a nonorientable essential spanning surface. Zbl 1421.57008
Dunfield, Nathan M.
4
2016
Behavior of knot invariants under genus 2 mutation. Zbl 1231.57005
Dunfield, Nathan M.; Garoufalidis, Stavros; Shumakovitch, Alexander; Thistlethwaite, Morwen
4
2010
Increasing the number of fibered faces of arithmetic hyperbolic 3-manifolds. Zbl 1195.57038
Dunfield, Nathan M.; Ramakrishnan, Dinakar
4
2010
Commensurability of 1-cusped hyperbolic 3-manifolds. Zbl 0986.57005
Calegari, Danny; Dunfield, Nathan M.
3
2002
Counting essential surfaces in \(3\)-manifolds. Zbl 1490.57017
Dunfield, Nathan M.; Garoufalidis, Stavros; Rubinstein, J. Hyam
2
2022
Colorings of the plane. I. Zbl 0846.05030
Brown, Nathanial; Dunfield, Nathan; Perry, Greg
1
1993
Colorings of the plane. II. Zbl 0846.05031
Brown, Nathanial; Dunfield, Nathan; Perry, Greg
1
1994
Colorings of the plane. III. Zbl 0846.05032
Brown, Nathanial; Dunfield, Nathan; Perry, Greg
1
1994
An ascending HNN extension of a free group inside \(\text{SL}_2\mathbb{C}\). Zbl 1159.20016
Calegari, Danny; Dunfield, Nathan M.
1
2006
Counting essential surfaces in \(3\)-manifolds. Zbl 1490.57017
Dunfield, Nathan M.; Garoufalidis, Stavros; Rubinstein, J. Hyam
2
2022
Certifying the Thurston norm via SL\((2,\mathbb{C})\)-twisted homology. Zbl 1452.57011
Agol, Ian; Dunfield, Nathan M.
8
2020
Floer homology, group orderability, and taut foliations of hyperbolic 3-manifolds. Zbl 1469.57020
Dunfield, Nathan M.
8
2020
A census of exceptional Dehn fillings. Zbl 1460.57021
Dunfield, Nathan M.
6
2020
Orderability and Dehn filling. Zbl 1392.57012
Culler, Marc; Dunfield, Nathan M.
16
2018
Norms on the cohomology of hyperbolic 3-manifolds. Zbl 1379.57023
Brock, Jeffrey F.; Dunfield, Nathan M.
9
2017
On geometric aspects of diffuse groups. With an appendix by Nathan Dunfield. Zbl 1410.22004
Kionke, Steffen; Raimbault, Jean
13
2016
A knot without a nonorientable essential spanning surface. Zbl 1421.57008
Dunfield, Nathan M.
4
2016
Injectivity radii of hyperbolic integer homology 3-spheres. Zbl 1312.57022
Brock, Jeffrey F.; Dunfield, Nathan M.
15
2015
Asymmetric hyperbolic \(L\)-spaces, Heegaard genus, and Dehn filling. Zbl 1351.57022
Dunfield, Nathan M.; Hoffman, Neil R.; Licata, Joan E.
11
2015
Twisted Alexander polynomials of hyperbolic knots. Zbl 1266.57008
Dunfield, Nathan M.; Friedl, Stefan; Jackson, Nicholas
25
2012
Incompressibility criteria for spun-normal surfaces. Zbl 1281.57012
Dunfield, Nathan M.; Garoufalidis, Stavros
10
2012
Quantum invariants of random 3-manifolds. Zbl 1236.57017
Dunfield, Nathan M.; Wong, Helen
8
2011
The least spanning area of a knot and the optimal bounding chain problem. Zbl 1283.68357
Dunfield, Nathan M.; Hirani, Anil N.
6
2011
Closed surface bundles of least volume. Zbl 1205.57018
Aaber, John W.; Dunfield, Nathan
20
2010
Behavior of knot invariants under genus 2 mutation. Zbl 1231.57005
Dunfield, Nathan M.; Garoufalidis, Stavros; Shumakovitch, Alexander; Thistlethwaite, Morwen
4
2010
Increasing the number of fibered faces of arithmetic hyperbolic 3-manifolds. Zbl 1195.57038
Dunfield, Nathan M.; Ramakrishnan, Dinakar
4
2010
Lower bounds on volumes of hyperbolic Haken 3-manifolds. Zbl 1155.58016
Agol, Ian; Storm, Peter A.; Thurston, William P.; Dunfield, Nathan
53
2007
The superpolynomial for knot homologies. Zbl 1118.57012
Dunfield, Nathan M.; Gukov, Sergei; Rasmussen, Jacob
136
2006
Finite covers of random 3-manifolds. Zbl 1111.57013
Dunfield, Nathan M.; Thurston, William P.
59
2006
A random tunnel number one 3-manifold does not fiber over the circle. Zbl 1139.57018
Dunfield, Nathan M.; Thurston, Dylan P.
21
2006
Automorphic forms and rational homology 3-spheres. Zbl 1103.57007
Calegari, Frank; Dunfield, Nathan M.
21
2006
An ascending HNN extension of a free group inside \(\text{SL}_2\mathbb{C}\). Zbl 1159.20016
Calegari, Danny; Dunfield, Nathan M.
1
2006
Non-triviality of the \(A\)-polynomial for knots in \(S^3\). Zbl 1063.57012
Dunfield, Nathan M.; Garoufalidis, Stavros
20
2004
Laminations and groups of homeomorphisms of the circle. Zbl 1025.57018
Calegari, Danny; Dunfield, Nathan M.
49
2003
The virtual Haken conjecture: Experiments and examples. Zbl 1037.57015
Dunfield, Nathan M.; Thurston, William P.
29
2003
Commensurability of 1-cusped hyperbolic 3-manifolds. Zbl 0986.57005
Calegari, Danny; Dunfield, Nathan M.
3
2002
Alexander and Thurston norms of fibered 3-manifolds. Zbl 1049.57012
Dunfield, Nathan M.
14
2001
A table of boundary slopes of Montesinos knots. Zbl 0967.57014
Dunfield, Nathan M.
11
2001
Cyclic surgery, degrees of maps of character curves, and volume rigidity for hyperbolic manifolds. Zbl 0928.57012
Dunfield, Nathan M.
51
1999
Examples of non-trivial roots of unity at ideal points of hyperbolic 3-manifolds. Zbl 0923.57004
Dunfield, Nathan M.
10
1999
Colorings of the plane. II. Zbl 0846.05031
Brown, Nathanial; Dunfield, Nathan; Perry, Greg
1
1994
Colorings of the plane. III. Zbl 0846.05032
Brown, Nathanial; Dunfield, Nathan; Perry, Greg
1
1994
Colorings of the plane. I. Zbl 0846.05030
Brown, Nathanial; Dunfield, Nathan; Perry, Greg
1
1993
all top 5

Cited by 607 Authors

33 Morozov, Alexei Yurievich
25 Mironov, Andrei D.
16 Garoufalidis, Stavros
16 Gukov, Sergei
16 Morozov, Andreĭ Alekseevich
15 Dunfield, Nathan M.
10 Purcell, Jessica Shepherd
8 Boyer, Steven
8 Calegari, Danny Matthew Cornelius
8 Ramadevi, Pichai
8 Sułkowski, Piotr
7 Friedl, Stefan
7 Morifuji, Takayuki
7 Shalen, Peter B.
7 Zhang, Xingru
6 Culler, Marc
6 Ekholm, Tobias
6 Futer, David
6 Gorsky, Eugene
6 Ham, Ji-Young
6 Kucharski, Piotr
6 Leininger, Christopher J.
6 Manion, Andrew
6 Morozov, Al’bert Dmitrievich
6 Nawata, Satoshi
6 Tillmann, Stephan
6 Tran, Anh Tuan
5 Agol, Ian
5 Atkinson, Christopher K.
5 Baik, Hyungryul
5 Clay, Adam
5 Lee, Joongul
5 Manolescu, Ciprian
5 Mattman, Thomas W.
5 Petri, Bram
5 Şengün, Mehmet Haluk
5 Watson, Liam
5 Wood, Melanie Matchett
4 Baker, Kenneth L.
4 Benard, Leo
4 Calegari, Frank
4 Cherednik, Ivan V.
4 Dimofte, Tudor Dan
4 Fenley, Sérgio R.
4 Ishikawa, Masaharu
4 Kitayama, Takahiro
4 Porti, Joan
4 Reid, Alan W.
4 Rodríguez-Migueles, José Andrés
4 Rubinstein, J. Hyam
4 Samperton, Eric
4 Singh, Vivek Kumar
4 Smirnov, Andrey V.
4 Stošić, Marko
4 Zodinmawia
3 Arthamonov, Semeon
3 Baldwin, John A.
3 Berger, Tobias
3 Bergeron, Nicolas
3 Boileau, Michel Charles
3 Bucher, Michelle
3 Burger, Marc
3 Champanerkar, Abhijit
3 Cremaschi, Tommaso
3 Dowlin, Nathan
3 Even-Zohar, Chaim
3 Farber, Michael S.
3 Funar, Louis
3 Gadre, Vaibhav S.
3 Gordon, Cameron McA.
3 Hogancamp, Matthew
3 Ichihara, Kazuhiro
3 Iozzi, Alessandra
3 Itoyama, Hiroshi
3 Kang, Ensil
3 Kim, Sang-Hyun
3 Koberda, Thomas
3 Kofman, Ilya
3 Lackenby, Marc
3 Le, Thang Tu Quoc
3 Lubotzky, Alexander
3 Margalit, Dan
3 McMullen, Curtis Tracy
3 Ng, Lenhard L.
3 Nowik, Tahl
3 Oblomkov, Alexei A.
3 Park, Sunghyuk
3 Potrie, Rafael
3 Raimbault, Jean
3 Rolfsen, Dale
3 Savini, Alessio
3 Shakirov, Shamil
3 Shimokawa, Koya
3 Sivek, Steven
3 Vafa, Cumrun
3 Walsh, Genevieve S.
2 Aganagic, Mina
2 Akbulut, Selman
2 Awata, Hidetoshi
2 Baseilhac, Stéphane
...and 507 more Authors
all top 5

Cited in 119 Serials

50 Algebraic & Geometric Topology
34 Geometry & Topology
32 Journal of High Energy Physics
26 Journal of Knot Theory and its Ramifications
19 Proceedings of the American Mathematical Society
16 Topology and its Applications
14 Experimental Mathematics
13 Journal of Topology
12 Geometriae Dedicata
12 Transactions of the American Mathematical Society
11 Nuclear Physics. B
10 Communications in Mathematical Physics
10 Advances in Mathematics
10 Annales de l’Institut Fourier
9 Letters in Mathematical Physics
9 Duke Mathematical Journal
9 International Journal of Mathematics
8 Inventiones Mathematicae
7 International Journal of Modern Physics A
7 Theoretical and Mathematical Physics
6 Commentarii Mathematici Helvetici
6 Journal of the London Mathematical Society. Second Series
5 Bulletin of the London Mathematical Society
5 Journal of Algebra
5 Mathematische Annalen
5 Bulletin of the American Mathematical Society. New Series
4 Israel Journal of Mathematics
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Acta Mathematica Vietnamica
4 Compositio Mathematica
4 Journal für die Reine und Angewandte Mathematik
4 Osaka Journal of Mathematics
4 Discrete & Computational Geometry
4 Journal of the American Mathematical Society
4 Geometric and Functional Analysis. GAFA
4 The New York Journal of Mathematics
4 Journal of the Institute of Mathematics of Jussieu
4 Groups, Geometry, and Dynamics
4 Journal of Topology and Analysis
3 Journal of Geometry and Physics
3 Fundamenta Mathematicae
3 Indiana University Mathematics Journal
3 Journal of Differential Geometry
3 Journal of the Mathematical Society of Japan
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Selecta Mathematica. New Series
3 Annals of Mathematics. Second Series
3 Journal of the European Mathematical Society (JEMS)
3 Annales Henri Poincaré
3 Oberwolfach Reports
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Quantum Topology
3 Winter Braids Lecture Notes
2 Discrete Mathematics
2 Physics Letters. B
2 Michigan Mathematical Journal
2 Proceedings of the London Mathematical Society. Third Series
2 Ergodic Theory and Dynamical Systems
2 Sugaku Expositions
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 International Journal of Algebra and Computation
2 International Journal of Number Theory
2 Research in the Mathematical Sciences
1 Modern Physics Letters A
1 Computers & Mathematics with Applications
1 Discrete Applied Mathematics
1 Russian Mathematical Surveys
1 Mathematics of Computation
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Canadian Mathematical Bulletin
1 Glasgow Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Combinatorial Theory. Series A
1 Journal of the Korean Mathematical Society
1 Journal of Pure and Applied Algebra
1 Kodai Mathematical Journal
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
1 Memoirs of the American Mathematical Society
1 Nagoya Mathematical Journal
1 Proceedings of the Japan Academy. Series A
1 SIAM Journal on Numerical Analysis
1 Tôhoku Mathematical Journal. Second Series
1 Annals of Pure and Applied Logic
1 Random Structures & Algorithms
1 Computational Geometry
1 L’Enseignement Mathématique. 2e Série
1 Proceedings of the National Academy of Sciences of the United States of America
1 Russian Mathematics
1 Calculus of Variations and Partial Differential Equations
1 Annales Mathématiques Blaise Pascal
1 Journal of Lie Theory
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Sbornik: Mathematics
1 Discrete and Continuous Dynamical Systems
1 Transformation Groups
1 Journal of Group Theory
1 Communications of the Korean Mathematical Society
1 Advances in Geometry
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
...and 19 more Serials
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Cited in 40 Fields

448 Manifolds and cell complexes (57-XX)
105 Group theory and generalizations (20-XX)
76 Quantum theory (81-XX)
52 Global analysis, analysis on manifolds (58-XX)
45 Dynamical systems and ergodic theory (37-XX)
42 Differential geometry (53-XX)
37 Algebraic geometry (14-XX)
33 Number theory (11-XX)
33 Topological groups, Lie groups (22-XX)
27 Combinatorics (05-XX)
21 Functions of a complex variable (30-XX)
19 Nonassociative rings and algebras (17-XX)
17 Algebraic topology (55-XX)
14 Order, lattices, ordered algebraic structures (06-XX)
14 Probability theory and stochastic processes (60-XX)
10 Associative rings and algebras (16-XX)
10 Category theory; homological algebra (18-XX)
10 Several complex variables and analytic spaces (32-XX)
10 Special functions (33-XX)
10 Computer science (68-XX)
9 Geometry (51-XX)
9 Convex and discrete geometry (52-XX)
8 Relativity and gravitational theory (83-XX)
7 General and overarching topics; collections (00-XX)
6 Commutative algebra (13-XX)
4 History and biography (01-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
3 Mathematical logic and foundations (03-XX)
3 Functional analysis (46-XX)
2 General algebraic systems (08-XX)
2 \(K\)-theory (19-XX)
2 Numerical analysis (65-XX)
2 Operations research, mathematical programming (90-XX)
1 Field theory and polynomials (12-XX)
1 Partial differential equations (35-XX)
1 Difference and functional equations (39-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 General topology (54-XX)
1 Statistics (62-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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