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Author ID: culler.marc Recent zbMATH articles by "Culler, Marc"
Published as: Culler, Marc; Culler, M.
External Links: MGP · Wikidata
Documents Indexed: 36 Publications since 1978
Co-Authors: 18 Co-Authors with 32 Joint Publications
429 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

35 Publications have been cited 1,474 times in 1,119 Documents Cited by Year
Dehn surgery on knots. Zbl 0633.57006
Culler, Marc; Gordon, C. McA.; Luecke, J.; Shalen, Peter B.
261
1987
Varieties of group representations and splittings of 3-manifolds. Zbl 0529.57005
Culler, Marc; Shalen, Peter B.
254
1983
Moduli of graphs and automorphisms of free groups. Zbl 0589.20022
Culler, Marc; Vogtmann, Karen
226
1986
Plane curves associated to character varieties of 3-manifolds. Zbl 0842.57013
Cooper, D.; Culler, M.; Gillet, H.; Long, D. D.; Shalen, P. B.
180
1994
Group actions on \({\mathbb{R}}\)-trees. Zbl 0658.20021
Culler, Marc; Morgan, John W.
130
1987
Lifting representations to covering groups. Zbl 0582.57001
Culler, Marc
60
1986
Using surfaces to solve equations in free groups. Zbl 0452.20038
Culler, Marc
51
1981
Finite groups of outer automorphisms of a free group. Zbl 0552.20024
Culler, Marc
47
1984
Bounded, separating, incompressible surfaces in knot manifolds. Zbl 0542.57011
Culler, M.; Shalen, P. B.
34
1984
Paradoxical decompositions, 2-generator Kleinian groups, and volumes of hyperbolic 3-manifolds. Zbl 0769.57010
Culler, Marc; Shalen, Peter B.
24
1992
Free Kleinian groups and volumes of hyperbolic 3-manifolds. Zbl 0860.57011
Anderson, James W.; Canary, Richard D.; Culler, Marc; Shalen, Peter B.
22
1996
Incompressible surfaces in once-punctured torus bundles. Zbl 0515.57002
Culler, M.; Jaco, W.; Rubinstein, H.
21
1982
A group theoretic criterion for property FA. Zbl 0865.20024
Culler, Marc; Vogtmann, Karen
20
1996
Orderability and Dehn filling. Zbl 1392.57012
Culler, Marc; Dunfield, Nathan M.
16
2018
Approximation by maximal cusps in boundaries of deformation spaces of Kleinian groups. Zbl 1069.57004
Canary, Richard D.; Culler, Marc; Hersonsky, Sa’ar; Shalen, Peter B.
13
2003
Dehn surgery, homology and hyperbolic volume. Zbl 1129.57019
Agol, Ian; Culler, Marc; Shalen, Peter B.
13
2006
The boundary of outer space in rank two. Zbl 0786.57002
Culler, Marc; Vogtmann, Karen
12
1991
Singular surfaces, mod 2 homology, and hyperbolic volume, I. Zbl 1195.57037
Agol, Ian; Culler, Marc; Shalen, Peter B.
11
2010
Margulis numbers for Haken manifolds. Zbl 1257.57022
Culler, Marc; Shalen, Peter B.
10
2012
Dehn surgery on knots. Zbl 0571.57008
Culler, Marc; Gordon, C. McA.; Luecke, J.; Shalen, Peter B.
9
1985
4-free groups and hyperbolic geometry. Zbl 1244.57030
Culler, Marc; Shalen, Peter B.
8
2012
Volumes of hyperbolic Haken manifolds. I. Zbl 0862.57008
Culler, Marc; Shalen, Peter B.
8
1994
Singular surfaces, mod 2 homology, and hyperbolic volume. II. Zbl 1207.57022
Culler, Marc; Shalen, Peter B.
6
2011
The first Betti number of the smallest closed hyperbolic 3-manifold. Zbl 0893.57015
Culler, Marc; Hersonsky, Sa’ar; Shalen, Peter B.
6
1998
Characteristic subsurfaces and Dehn filling. Zbl 1078.57019
Boyer, Steve; Culler, Marc; Shalen, Peter B.; Zhang, Xingru
5
2005
Boundary slopes of knots. Zbl 0941.57019
Culler, Marc; Shalen, Peter B.
5
1999
Characteristic subsurfaces, character varieties and Dehn fillings. Zbl 1147.57002
Boyer, Steve; Culler, Marc; Shalen, Peter B.; Zhang, Xingru
5
2008
Knots with only two strict essential surfaces. Zbl 1083.57005
Culler, Marc; Shalen, Peter B.
4
2004
Volumes of hyperbolic Haken manifolds. II. Zbl 0902.57022
Culler, Marc; Shalen, Peter B.
3
1997
Incompressible surfaces, hyperbolic volume, Heegaard genus and homology. Zbl 1187.57020
Culler, Marc; Deblois, Jason; Shalen, Peter B.
2
2009
Correction to “Dehn surgery on knots”. Zbl 0645.57006
Culler, M.; Gordon, C. McA.; Luecke, J.; Shalen, P. B.
2
1988
Hyperbolic volume and mod \(p\) homology. Zbl 0801.57008
Culler, Marc; Shalen, Peter B.
2
1993
The volume of a hyperbolic 3-manifold with Betti number 2. Zbl 0813.57014
Culler, Marc; Shalen, Peter B.
2
1994
Betti numbers and injectivity radii. Zbl 1176.57020
Culler, Marc; Shalen, Peter B.
1
2009
Homology equivalent finite groups are isomorphic. Zbl 0399.20046
Culler, Marc
1
1978
Orderability and Dehn filling. Zbl 1392.57012
Culler, Marc; Dunfield, Nathan M.
16
2018
Margulis numbers for Haken manifolds. Zbl 1257.57022
Culler, Marc; Shalen, Peter B.
10
2012
4-free groups and hyperbolic geometry. Zbl 1244.57030
Culler, Marc; Shalen, Peter B.
8
2012
Singular surfaces, mod 2 homology, and hyperbolic volume. II. Zbl 1207.57022
Culler, Marc; Shalen, Peter B.
6
2011
Singular surfaces, mod 2 homology, and hyperbolic volume, I. Zbl 1195.57037
Agol, Ian; Culler, Marc; Shalen, Peter B.
11
2010
Incompressible surfaces, hyperbolic volume, Heegaard genus and homology. Zbl 1187.57020
Culler, Marc; Deblois, Jason; Shalen, Peter B.
2
2009
Betti numbers and injectivity radii. Zbl 1176.57020
Culler, Marc; Shalen, Peter B.
1
2009
Characteristic subsurfaces, character varieties and Dehn fillings. Zbl 1147.57002
Boyer, Steve; Culler, Marc; Shalen, Peter B.; Zhang, Xingru
5
2008
Dehn surgery, homology and hyperbolic volume. Zbl 1129.57019
Agol, Ian; Culler, Marc; Shalen, Peter B.
13
2006
Characteristic subsurfaces and Dehn filling. Zbl 1078.57019
Boyer, Steve; Culler, Marc; Shalen, Peter B.; Zhang, Xingru
5
2005
Knots with only two strict essential surfaces. Zbl 1083.57005
Culler, Marc; Shalen, Peter B.
4
2004
Approximation by maximal cusps in boundaries of deformation spaces of Kleinian groups. Zbl 1069.57004
Canary, Richard D.; Culler, Marc; Hersonsky, Sa’ar; Shalen, Peter B.
13
2003
Boundary slopes of knots. Zbl 0941.57019
Culler, Marc; Shalen, Peter B.
5
1999
The first Betti number of the smallest closed hyperbolic 3-manifold. Zbl 0893.57015
Culler, Marc; Hersonsky, Sa’ar; Shalen, Peter B.
6
1998
Volumes of hyperbolic Haken manifolds. II. Zbl 0902.57022
Culler, Marc; Shalen, Peter B.
3
1997
Free Kleinian groups and volumes of hyperbolic 3-manifolds. Zbl 0860.57011
Anderson, James W.; Canary, Richard D.; Culler, Marc; Shalen, Peter B.
22
1996
A group theoretic criterion for property FA. Zbl 0865.20024
Culler, Marc; Vogtmann, Karen
20
1996
Plane curves associated to character varieties of 3-manifolds. Zbl 0842.57013
Cooper, D.; Culler, M.; Gillet, H.; Long, D. D.; Shalen, P. B.
180
1994
Volumes of hyperbolic Haken manifolds. I. Zbl 0862.57008
Culler, Marc; Shalen, Peter B.
8
1994
The volume of a hyperbolic 3-manifold with Betti number 2. Zbl 0813.57014
Culler, Marc; Shalen, Peter B.
2
1994
Hyperbolic volume and mod \(p\) homology. Zbl 0801.57008
Culler, Marc; Shalen, Peter B.
2
1993
Paradoxical decompositions, 2-generator Kleinian groups, and volumes of hyperbolic 3-manifolds. Zbl 0769.57010
Culler, Marc; Shalen, Peter B.
24
1992
The boundary of outer space in rank two. Zbl 0786.57002
Culler, Marc; Vogtmann, Karen
12
1991
Correction to “Dehn surgery on knots”. Zbl 0645.57006
Culler, M.; Gordon, C. McA.; Luecke, J.; Shalen, P. B.
2
1988
Dehn surgery on knots. Zbl 0633.57006
Culler, Marc; Gordon, C. McA.; Luecke, J.; Shalen, Peter B.
261
1987
Group actions on \({\mathbb{R}}\)-trees. Zbl 0658.20021
Culler, Marc; Morgan, John W.
130
1987
Moduli of graphs and automorphisms of free groups. Zbl 0589.20022
Culler, Marc; Vogtmann, Karen
226
1986
Lifting representations to covering groups. Zbl 0582.57001
Culler, Marc
60
1986
Dehn surgery on knots. Zbl 0571.57008
Culler, Marc; Gordon, C. McA.; Luecke, J.; Shalen, Peter B.
9
1985
Finite groups of outer automorphisms of a free group. Zbl 0552.20024
Culler, Marc
47
1984
Bounded, separating, incompressible surfaces in knot manifolds. Zbl 0542.57011
Culler, M.; Shalen, P. B.
34
1984
Varieties of group representations and splittings of 3-manifolds. Zbl 0529.57005
Culler, Marc; Shalen, Peter B.
254
1983
Incompressible surfaces in once-punctured torus bundles. Zbl 0515.57002
Culler, M.; Jaco, W.; Rubinstein, H.
21
1982
Using surfaces to solve equations in free groups. Zbl 0452.20038
Culler, Marc
51
1981
Homology equivalent finite groups are isomorphic. Zbl 0399.20046
Culler, Marc
1
1978
all top 5

Cited by 905 Authors

22 Vogtmann, Karen
20 Zhang, Xingru
18 Garoufalidis, Stavros
18 Kapovich, Ilya
18 Shalen, Peter B.
17 Culler, Marc
15 Horbez, Camille
15 Tran, Anh Tuan
14 Levitt, Gilbert
13 Bestvina, Mladen
13 Boyer, Steven
13 Cooper, Daryl
13 Lustig, Martin
13 Reid, Alan W.
13 Teragaito, Masakazu
12 Guirardel, Vincent
12 Gukov, Sergei
12 Motegi, Kimihiko
11 Baker, Kenneth L.
11 Dunfield, Nathan M.
11 Gordon, Cameron McA.
11 Matignon, Daniel
11 Porti, Joan
10 Wu, Yingqing
9 Handel, Michael
9 Ichihara, Kazuhiro
9 Ohshika, Ken’ichi
8 Agol, Ian
8 Bridson, Martin R.
8 Dimofte, Tudor Dan
8 Eudave-Muñoz, Mario
8 Futer, David
8 Martino, Armando
8 Purcell, Jessica Shepherd
8 Taylor, Samuel Joseph
8 Wang, Shi Cheng
7 Calegari, Danny Matthew Cornelius
7 Kitayama, Takahiro
7 Long, Darren D.
7 Luecke, John
7 Minsky, Yair N.
7 Mosher, Lee
7 Qiu, Ruifeng
7 Rafi, Kasra
7 Saito, Toshio
7 Sułkowski, Piotr
6 Benard, Leo
6 Boden, Hans U.
6 Brock, Jeffrey F.
6 Feighn, Mark E.
6 Francaviglia, Stefano
6 Gelca, Răzvan
6 Hilion, Arnaud
6 Hoffman, Neil R.
6 Lawton, Sean
6 Marché, Julien
6 Nagasato, Fumikazu
6 Pfaff, Catherine
6 Sivek, Steven
6 Tillmann, Stephan
6 Wade, Richard D.
5 Boileau, Michel Charles
5 Bromberg, Kenneth W.
5 Canary, Richard D.
5 Cavicchioli, Alberto
5 Charney, Ruth Michele
5 Curtis, Cynthia L.
5 Domergue, Michel
5 Dumas, David
5 Frohman, Charles D.
5 Gaboriau, Damien
5 Ham, Ji-Young
5 Jensen, Craig A.
5 Leininger, Christopher J.
5 Miyazaki, Katura
5 Montesinos-Amilibia, José María
5 Morifuji, Takayuki
5 Morita, Shigeyuki
5 Ozawa, Makoto
5 Paulin, Frédéric
5 Sakasai, Takuya
5 Uyanik, Caglar
5 Walker, Alden
5 Walsh, Genevieve S.
5 Yoon, Seokbeom
4 Algom-Kfir, Yael
4 Baker, Mark D.
4 Baldwin, John A.
4 Ben Abdelghani, Leila
4 Bux, Kai-Uwe
4 Chiswell, Ian M.
4 Darcy, Isabel K.
4 Deruelle, Arnaud
4 Dowdall, Spencer
4 Dubois, Jérôme
4 Arango Florentino, Carlos Armindo
4 Friedl, Stefan
4 Gabai, David
4 González-Prieto, Ángel
4 Guerch, Yassine
...and 805 more Authors
all top 5

Cited in 164 Serials

95 Algebraic & Geometric Topology
84 Topology and its Applications
72 Journal of Knot Theory and its Ramifications
55 Geometry & Topology
47 Proceedings of the American Mathematical Society
44 Transactions of the American Mathematical Society
43 Geometriae Dedicata
26 Inventiones Mathematicae
24 Mathematische Annalen
23 Duke Mathematical Journal
21 Advances in Mathematics
21 Journal of Algebra
19 Groups, Geometry, and Dynamics
18 Journal of Pure and Applied Algebra
18 Journal of Topology
17 Mathematische Zeitschrift
16 Mathematical Proceedings of the Cambridge Philosophical Society
15 Annales de l’Institut Fourier
15 International Journal of Algebra and Computation
13 Israel Journal of Mathematics
13 International Journal of Mathematics
12 Journal of the London Mathematical Society. Second Series
12 Bulletin of the American Mathematical Society. New Series
11 Communications in Mathematical Physics
11 Journal of Topology and Analysis
10 Communications in Algebra
10 Proceedings of the Edinburgh Mathematical Society. Series II
10 Journal of High Energy Physics
9 Journal of the American Mathematical Society
9 Experimental Mathematics
9 Journal of Group Theory
8 Proceedings of the London Mathematical Society. Third Series
8 Ergodic Theory and Dynamical Systems
7 Memoirs of the American Mathematical Society
7 Michigan Mathematical Journal
7 Osaka Journal of Mathematics
6 Letters in Mathematical Physics
5 Chaos, Solitons and Fractals
5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
5 Pacific Journal of Mathematics
5 Geometric and Functional Analysis. GAFA
5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 Boletín de la Sociedad Matemática Mexicana. Third Series
5 Conformal Geometry and Dynamics
5 Annals of Mathematics. Second Series
5 Quantum Topology
4 Mathematika
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 The New York Journal of Mathematics
4 Selecta Mathematica. New Series
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Annales Henri Lebesgue
3 Journal of Geometry and Physics
3 Acta Mathematica Vietnamica
3 Archiv der Mathematik
3 Bulletin of the London Mathematical Society
3 Commentarii Mathematici Helvetici
3 Compositio Mathematica
3 Journal of the Mathematical Society of Japan
3 Tôhoku Mathematical Journal. Second Series
3 Sugaku Expositions
3 Turkish Journal of Mathematics
3 Transformation Groups
3 Journal of the European Mathematical Society (JEMS)
3 Acta Mathematica Sinica. English Series
3 Communications in Contemporary Mathematics
3 Journal of the Australian Mathematical Society
3 Oberwolfach Reports
3 EMS Surveys in Mathematical Sciences
2 Bulletin of the Australian Mathematical Society
2 Mathematical Notes
2 Nuclear Physics. B
2 Physics Letters. B
2 Rocky Mountain Journal of Mathematics
2 Theoretical and Mathematical Physics
2 The Mathematical Intelligencer
2 Beiträge zur Algebra und Geometrie
2 Acta Mathematica
2 Algebra and Logic
2 Glasgow Mathematical Journal
2 Illinois Journal of Mathematics
2 Publications Mathématiques
2 Journal of Combinatorial Theory. Series A
2 Journal für die Reine und Angewandte Mathematik
2 Tokyo Journal of Mathematics
2 Publicacions Matemàtiques
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Expositiones Mathematicae
2 Algebra Colloquium
2 Annales Mathématiques Blaise Pascal
2 Sbornik: Mathematics
2 Advances in Geometry
2 Journal of Modern Dynamics
2 Forum of Mathematics, Sigma
2 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions
2 Research in the Mathematical Sciences
2 Proceedings of the American Mathematical Society. Series B
1 Computers & Mathematics with Applications
1 Discrete Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
...and 64 more Serials
all top 5

Cited in 41 Fields

815 Manifolds and cell complexes (57-XX)
430 Group theory and generalizations (20-XX)
88 Functions of a complex variable (30-XX)
70 Algebraic geometry (14-XX)
62 Combinatorics (05-XX)
54 Dynamical systems and ergodic theory (37-XX)
43 Quantum theory (81-XX)
41 Differential geometry (53-XX)
36 Several complex variables and analytic spaces (32-XX)
34 Number theory (11-XX)
30 Algebraic topology (55-XX)
28 Topological groups, Lie groups (22-XX)
19 Geometry (51-XX)
19 Global analysis, analysis on manifolds (58-XX)
16 Category theory; homological algebra (18-XX)
10 Commutative algebra (13-XX)
9 Nonassociative rings and algebras (17-XX)
9 Convex and discrete geometry (52-XX)
9 Probability theory and stochastic processes (60-XX)
9 Biology and other natural sciences (92-XX)
8 Functional analysis (46-XX)
7 \(K\)-theory (19-XX)
6 Computer science (68-XX)
5 Mathematical logic and foundations (03-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Associative rings and algebras (16-XX)
5 Difference and functional equations (39-XX)
5 General topology (54-XX)
4 General and overarching topics; collections (00-XX)
4 History and biography (01-XX)
4 Special functions (33-XX)
4 Relativity and gravitational theory (83-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
2 Abstract harmonic analysis (43-XX)
2 Numerical analysis (65-XX)
1 General algebraic systems (08-XX)
1 Real functions (26-XX)
1 Ordinary differential equations (34-XX)
1 Integral transforms, operational calculus (44-XX)
1 Mechanics of particles and systems (70-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

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