Marc Culler - Author Profile

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Culler, Marc

Author ID:	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
	439 Co-Co-Authors

all top 5

Co-Authors

4	single-authored
26	Shalen, Peter B.
3	Gordon, Cameron McA.
3	Luecke, John
3	Vogtmann, Karen
2	Agol, Ian
2	Boyer, Steven
2	Canary, Richard D.
2	Hersonsky, Sa’ar
2	Zhang, Xingru
1	Anderson, James W.
1	Cooper, Daryl
1	Deblois, Jason
1	Dunfield, Nathan M.
1	Gillet, Henri A.
1	Jaco, William H.
1	Long, Darren D.
1	Morgan, John W.
1	Rubinstein, J. Hyam

all top 5

Serials

5	Proceedings of the American Mathematical Society
4	Inventiones Mathematicae
3	Annals of Mathematics. Second Series
2	Commentarii Mathematici Helvetici
2	Journal of Differential Geometry
2	Proceedings of the London Mathematical Society. Third Series
2	Topology
2	Transactions of the American Mathematical Society
2	Geometry & Topology
2	Algebraic & Geometric Topology
1	Israel Journal of Mathematics
1	Advances in Mathematics
1	Topology and its Applications
1	Journal of the American Mathematical Society
1	Bulletin of the American Mathematical Society. New Series
1	Communications in Analysis and Geometry
1	Journal of Topology

all top 5

Fields

33	Manifolds and cell complexes (57-XX)
12	Group theory and generalizations (20-XX)
5	Functions of a complex variable (30-XX)
2	Combinatorics (05-XX)
1	Topological groups, Lie groups (22-XX)
1	Several complex variables and analytic spaces (32-XX)
1	Geometry (51-XX)
1	Differential geometry (53-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

35 Publications have been cited 1,489 times in 1,134 Documents	Cited by ▼	Year ▼
Dehn surgery on knots. Zbl 0633.57006 Culler, Marc; Gordon, C. McA.; Luecke, J.; Shalen, Peter B.	262	1987
Varieties of group representations and splittings of 3-manifolds. Zbl 0529.57005 Culler, Marc; Shalen, Peter B.	258	1983
Moduli of graphs and automorphisms of free groups. Zbl 0589.20022 Culler, Marc; Vogtmann, Karen	228	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.	182	1994
Group actions on \({\mathbb{R}}\)-trees. Zbl 0658.20021 Culler, Marc; Morgan, John W.	131	1987
Lifting representations to covering groups. Zbl 0582.57001 Culler, Marc	63	1986
Using surfaces to solve equations in free groups. Zbl 0452.20038 Culler, Marc	52	1981
Finite groups of outer automorphisms of a free group. Zbl 0552.20024 Culler, Marc	48	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
The first Betti number of the smallest closed hyperbolic 3-manifold. Zbl 0893.57015 Culler, Marc; Hersonsky, Sa’ar; Shalen, Peter B.	6	1998
Singular surfaces, mod 2 homology, and hyperbolic volume. II. Zbl 1207.57022 Culler, Marc; Shalen, Peter B.	6	2011
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
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
Correction to “Dehn surgery on knots”. Zbl 0645.57006 Culler, M.; Gordon, C. McA.; Luecke, J.; Shalen, P. B.	2	1988
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
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.	182	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.	262	1987
Group actions on \({\mathbb{R}}\)-trees. Zbl 0658.20021 Culler, Marc; Morgan, John W.	131	1987
Moduli of graphs and automorphisms of free groups. Zbl 0589.20022 Culler, Marc; Vogtmann, Karen	228	1986
Lifting representations to covering groups. Zbl 0582.57001 Culler, Marc	63	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	48	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.	258	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	52	1981
Homology equivalent finite groups are isomorphic. Zbl 0399.20046 Culler, Marc	1	1978

all cited Publications top 5 cited Publications

all top 5

Cited by 916 Authors

22	Vogtmann, Karen
20	Garoufalidis, Stavros
20	Zhang, Xingru
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	Ohshika, Ken’ichi
10	Wu, Yingqing
9	Bridson, Martin R.
9	Handel, Michael
9	Ichihara, Kazuhiro
8	Agol, Ian
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	Canary, Richard D.
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
7	Wade, Richard D.
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	Morifuji, Takayuki
6	Nagasato, Fumikazu
6	Pfaff, Catherine
6	Sivek, Steven
6	Tillmann, Stephan
5	Boileau, Michel Charles
5	Bromberg, Kenneth W.
5	Cavicchioli, Alberto
5	Charney, Ruth Michele
5	Curtis, Cynthia L.
5	Domergue, Michel
5	Dumas, David
5	Fioravanti, Elia
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	Morita, Shigeyuki
5	Ozawa, Makoto
5	Paulin, Frédéric
5	Sakasai, Takuya
5	Uyanik, Caglar
5	Vdovina, Alina A.
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
...and 816 more Authors

all top 5

Cited in 166 Serials

97	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
45	Transactions of the American Mathematical Society
43	Geometriae Dedicata
26	Inventiones Mathematicae
24	Mathematische Annalen
23	Advances in Mathematics
23	Duke Mathematical Journal
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
16	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
6	Geometric and Functional Analysis. GAFA
5	Chaos, Solitons and Fractals
5	Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
5	Pacific Journal of Mathematics
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	SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5	Quantum Topology
4	Bulletin of the London Mathematical Society
4	Mathematika
4	Tôhoku Mathematical Journal. Second Series
4	Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4	The New York Journal of Mathematics
4	Selecta Mathematica. New Series
4	Oberwolfach Reports
4	Annales Henri Lebesgue
3	Journal of Geometry and Physics
3	Acta Mathematica Vietnamica
3	Archiv der Mathematik
3	Commentarii Mathematici Helvetici
3	Compositio Mathematica
3	Journal of the Mathematical Society of Japan
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	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
2	Journal of Groups, Complexity, Cryptology
1	Computers & Mathematics with Applications
1	Discrete Mathematics
...and 66 more Serials

all top 5

Cited in 41 Fields

825	Manifolds and cell complexes (57-XX)
438	Group theory and generalizations (20-XX)
89	Functions of a complex variable (30-XX)
70	Algebraic geometry (14-XX)
64	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)
35	Number theory (11-XX)
30	Algebraic topology (55-XX)
29	Topological groups, Lie groups (22-XX)
19	Geometry (51-XX)
19	Global analysis, analysis on manifolds (58-XX)
17	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)
7	\(K\)-theory (19-XX)
7	Functional analysis (46-XX)
7	Computer science (68-XX)
5	General and overarching topics; collections (00-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	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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