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Author ID: bowditch.brian-h Recent zbMATH articles by "Bowditch, Brian H."
Published as: Bowditch, Brian H.; Bowditch, B. H.; Bowditch, Brian
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 64 Publications since 1988, including 2 Books
Co-Authors: 8 Co-Authors with 7 Joint Publications
164 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

59 Publications have been cited 1,220 times in 853 Documents Cited by Year
Relatively hyperbolic groups. Zbl 1259.20052
Bowditch, B. H.
143
2012
Tight geodesics in the curve complex. Zbl 1185.57011
Bowditch, Brian H.
90
2008
Geometrical finiteness with variable negative curvature. Zbl 0877.57018
Bowditch, B. H.
79
1995
Cut points and canonical splittings of hyperbolic groups. Zbl 0911.57001
Bowditch, Brian H.
77
1998
Geometrical finiteness for hyperbolic groups. Zbl 0789.57007
Bowditch, B. H.
76
1993
A topological characterisation of hyperbolic groups. Zbl 0906.20022
Bowditch, Brian H.
55
1998
Intersection numbers and the hyperbolicity of the curve complex. Zbl 1119.32006
Bowditch, Brian H.
53
2006
Notes on Gromov’s hyperbolicity criterion for path-metric spaces. Zbl 0843.20031
Bowditch, B. H.
47
1991
Convergence groups and configuration spaces. Zbl 0952.20032
Bowditch, B. H.
45
1999
Markoff triples and quasifuchsian groups. Zbl 0928.11030
Bowditch, B. H.
43
1998
Uniform hyperbolicity of the curve graphs. Zbl 1330.57023
Bowditch, Brian H.
42
2014
Treelike structures arising from continua and convergence groups. Zbl 0961.20034
Bowditch, B. H.
29
1999
A proof of McShane’s identity via Markoff triples. Zbl 0854.57009
Bowditch, B. H.
27
1996
A short proof that a subquadratic isoperimetric inequality implies a linear one. Zbl 0835.53051
Bowditch, B. H.
25
1995
The Cannon-Thurston map for punctured-surface groups. Zbl 1138.57020
Bowditch, Brian H.
24
2007
Peripheral splittings of groups. Zbl 1037.20041
Bowditch, B. H.
23
2001
Connectedness properties of limit sets. Zbl 0938.20033
Bowditch, B. H.
22
1999
Natural triangulations associated to a surface. Zbl 0649.32017
Bowditch, B. H.; Epstein, D. B. A.
21
1988
Coarse median spaces and groups. Zbl 1283.20048
Bowditch, Brian H.
19
2013
Planar groups and the Seifert conjecture. Zbl 1056.20029
Bowditch, Brian H.
16
2004
Boundaries of geometrically finite groups. Zbl 0926.20027
Bowditch, B. H.
15
1999
A 4-dimensional Kleinian group. Zbl 0876.57020
Bowditch, B. H.; Mess, G.
14
1994
Embedding median algebras in products of trees. Zbl 1330.20062
Bowditch, Brian H.
13
2014
Large-scale rigidity properties of the mapping class groups. Zbl 1427.20056
Bowditch, Brian H.
13
2018
A variation of McShane’s identity for once-punctured torus bundles. Zbl 0872.57015
Bowditch, B. H.
12
1997
Boundaries of strongly accessible hyperbolic groups. Zbl 0918.20027
Bowditch, B. H.
11
1998
Discrete parabolic groups. Zbl 0793.53029
Bowditch, B. H.
11
1993
A variation on the unique product property. Zbl 1033.20040
Bowditch, B. H.
10
2000
Arithmetic hyperbolic surface bundles. Zbl 0830.57008
Bowditch, B. H.; Maclachlan, C.; Reid, A. W.
10
1995
Some results on the geometry of convex hulls in manifolds of pinched negative curvature. Zbl 0967.53022
Bowditch, B. H.
10
1994
Archimedean actions on median pretrees. Zbl 1034.20022
Bowditch, Brian H.; Crisp, John
10
2001
Stacks of hyperbolic spaces and ends of 3-manifolds. Zbl 1297.57044
Bowditch, B. H.
9
2013
Some properties of median metric spaces. Zbl 1376.20044
Bowditch, Brian H.
9
2016
Notes on locally CAT(1) spaces. Zbl 0865.53035
Bowditch, B. H.
8
1995
A course on geometric group theory. Zbl 1103.20037
Bowditch, Brian H.
8
2006
Continuously many quasiisometry classes of \(2\)-generator groups. Zbl 0924.20032
Bowditch, B. H.
8
1998
Length bounds on curves arising from tight geodesics. Zbl 1148.57024
Bowditch, Brian H.
8
2007
Hyperbolic 3-manifolds and the geometry of the curve complex. Zbl 1081.53032
Bowditch, Brian H.
8
2005
Large-scale rank and rigidity of the Teichmüller metric. Zbl 1398.32014
Bowditch, Brian H.
8
2016
Singular Euclidean structures on surfaces. Zbl 0748.57003
Bowditch, Brian H.
7
1991
Atoroidal surface bundles over surfaces. Zbl 1195.20045
Bowditch, Brian H.
7
2009
Minkowskian subspaces of non-positively curved metric spaces. Zbl 0843.53040
Bowditch, B. H.
6
1995
Notes on Tameness. Zbl 1222.57012
Bowditch, Brian H.
6
2010
Group actions on trees and dendrons. Zbl 1128.57300
Bowditch, B. H.
6
1998
Splittings of finitely generated groups over two-ended subgroups. Zbl 0988.20027
Bowditch, Brian H.
6
2002
Hausdorff dimension and dendritic limit sets. Zbl 1077.57014
Bowditch, Brian H.
6
2005
Systems of bands in hyperbolic 3-manifolds. Zbl 1154.57015
Bowditch, Brian H.
4
2007
Invariance of coarse median spaces under relative hyperbolicity. Zbl 1275.20045
Bowditch, Brian H.
4
2013
The angel game in the plane. Zbl 1222.91011
Bowditch, Brian H.
3
2007
The minimal volume of the plane. Zbl 0796.53038
Bowditch, B. H.
2
1993
Rigidity of the strongly separating curve graph. Zbl 1441.30059
Bowditch, Brian
2
2016
An upper bound for injectivity radii in convex cores. Zbl 1272.57012
Bowditch, Brian H.
2
2013
Quasi-isometric maps between direct products of hyperbolic spaces. Zbl 1367.20051
Bowditch, Brian H.
2
2016
Large-scale rank and rigidity of the Weil-Petersson metric. Zbl 1471.57013
Bowditch, Brian H.
1
2020
Quasiconvexity of bands in hyperbolic 3-manifolds. Zbl 1361.57020
Bowditch, Brian H.
1
2014
A class of incomplete non-positively curved manifolds. Zbl 0867.53039
Bowditch, B. H.
1
1996
Groups acting on Cantor sets and the end structure of graphs. Zbl 1050.57002
Bowditch, Brian H.
1
2002
Projections of the sphere graph to the arc graph of a surface. Zbl 1486.57029
Bowditch, Brian H.; Iezzi, Francesca
1
2018
The action of the mapping class group on the space of geodesic rays of a punctured hyperbolic surface. Zbl 1456.20042
Bowditch, Brian H.; Sakuma, Makoto
1
2018
Large-scale rank and rigidity of the Weil-Petersson metric. Zbl 1471.57013
Bowditch, Brian H.
1
2020
Large-scale rigidity properties of the mapping class groups. Zbl 1427.20056
Bowditch, Brian H.
13
2018
Projections of the sphere graph to the arc graph of a surface. Zbl 1486.57029
Bowditch, Brian H.; Iezzi, Francesca
1
2018
The action of the mapping class group on the space of geodesic rays of a punctured hyperbolic surface. Zbl 1456.20042
Bowditch, Brian H.; Sakuma, Makoto
1
2018
Some properties of median metric spaces. Zbl 1376.20044
Bowditch, Brian H.
9
2016
Large-scale rank and rigidity of the Teichmüller metric. Zbl 1398.32014
Bowditch, Brian H.
8
2016
Rigidity of the strongly separating curve graph. Zbl 1441.30059
Bowditch, Brian
2
2016
Quasi-isometric maps between direct products of hyperbolic spaces. Zbl 1367.20051
Bowditch, Brian H.
2
2016
Uniform hyperbolicity of the curve graphs. Zbl 1330.57023
Bowditch, Brian H.
42
2014
Embedding median algebras in products of trees. Zbl 1330.20062
Bowditch, Brian H.
13
2014
Quasiconvexity of bands in hyperbolic 3-manifolds. Zbl 1361.57020
Bowditch, Brian H.
1
2014
Coarse median spaces and groups. Zbl 1283.20048
Bowditch, Brian H.
19
2013
Stacks of hyperbolic spaces and ends of 3-manifolds. Zbl 1297.57044
Bowditch, B. H.
9
2013
Invariance of coarse median spaces under relative hyperbolicity. Zbl 1275.20045
Bowditch, Brian H.
4
2013
An upper bound for injectivity radii in convex cores. Zbl 1272.57012
Bowditch, Brian H.
2
2013
Relatively hyperbolic groups. Zbl 1259.20052
Bowditch, B. H.
143
2012
Notes on Tameness. Zbl 1222.57012
Bowditch, Brian H.
6
2010
Atoroidal surface bundles over surfaces. Zbl 1195.20045
Bowditch, Brian H.
7
2009
Tight geodesics in the curve complex. Zbl 1185.57011
Bowditch, Brian H.
90
2008
The Cannon-Thurston map for punctured-surface groups. Zbl 1138.57020
Bowditch, Brian H.
24
2007
Length bounds on curves arising from tight geodesics. Zbl 1148.57024
Bowditch, Brian H.
8
2007
Systems of bands in hyperbolic 3-manifolds. Zbl 1154.57015
Bowditch, Brian H.
4
2007
The angel game in the plane. Zbl 1222.91011
Bowditch, Brian H.
3
2007
Intersection numbers and the hyperbolicity of the curve complex. Zbl 1119.32006
Bowditch, Brian H.
53
2006
A course on geometric group theory. Zbl 1103.20037
Bowditch, Brian H.
8
2006
Hyperbolic 3-manifolds and the geometry of the curve complex. Zbl 1081.53032
Bowditch, Brian H.
8
2005
Hausdorff dimension and dendritic limit sets. Zbl 1077.57014
Bowditch, Brian H.
6
2005
Planar groups and the Seifert conjecture. Zbl 1056.20029
Bowditch, Brian H.
16
2004
Splittings of finitely generated groups over two-ended subgroups. Zbl 0988.20027
Bowditch, Brian H.
6
2002
Groups acting on Cantor sets and the end structure of graphs. Zbl 1050.57002
Bowditch, Brian H.
1
2002
Peripheral splittings of groups. Zbl 1037.20041
Bowditch, B. H.
23
2001
Archimedean actions on median pretrees. Zbl 1034.20022
Bowditch, Brian H.; Crisp, John
10
2001
A variation on the unique product property. Zbl 1033.20040
Bowditch, B. H.
10
2000
Convergence groups and configuration spaces. Zbl 0952.20032
Bowditch, B. H.
45
1999
Treelike structures arising from continua and convergence groups. Zbl 0961.20034
Bowditch, B. H.
29
1999
Connectedness properties of limit sets. Zbl 0938.20033
Bowditch, B. H.
22
1999
Boundaries of geometrically finite groups. Zbl 0926.20027
Bowditch, B. H.
15
1999
Cut points and canonical splittings of hyperbolic groups. Zbl 0911.57001
Bowditch, Brian H.
77
1998
A topological characterisation of hyperbolic groups. Zbl 0906.20022
Bowditch, Brian H.
55
1998
Markoff triples and quasifuchsian groups. Zbl 0928.11030
Bowditch, B. H.
43
1998
Boundaries of strongly accessible hyperbolic groups. Zbl 0918.20027
Bowditch, B. H.
11
1998
Continuously many quasiisometry classes of \(2\)-generator groups. Zbl 0924.20032
Bowditch, B. H.
8
1998
Group actions on trees and dendrons. Zbl 1128.57300
Bowditch, B. H.
6
1998
A variation of McShane’s identity for once-punctured torus bundles. Zbl 0872.57015
Bowditch, B. H.
12
1997
A proof of McShane’s identity via Markoff triples. Zbl 0854.57009
Bowditch, B. H.
27
1996
A class of incomplete non-positively curved manifolds. Zbl 0867.53039
Bowditch, B. H.
1
1996
Geometrical finiteness with variable negative curvature. Zbl 0877.57018
Bowditch, B. H.
79
1995
A short proof that a subquadratic isoperimetric inequality implies a linear one. Zbl 0835.53051
Bowditch, B. H.
25
1995
Arithmetic hyperbolic surface bundles. Zbl 0830.57008
Bowditch, B. H.; Maclachlan, C.; Reid, A. W.
10
1995
Notes on locally CAT(1) spaces. Zbl 0865.53035
Bowditch, B. H.
8
1995
Minkowskian subspaces of non-positively curved metric spaces. Zbl 0843.53040
Bowditch, B. H.
6
1995
A 4-dimensional Kleinian group. Zbl 0876.57020
Bowditch, B. H.; Mess, G.
14
1994
Some results on the geometry of convex hulls in manifolds of pinched negative curvature. Zbl 0967.53022
Bowditch, B. H.
10
1994
Geometrical finiteness for hyperbolic groups. Zbl 0789.57007
Bowditch, B. H.
76
1993
Discrete parabolic groups. Zbl 0793.53029
Bowditch, B. H.
11
1993
The minimal volume of the plane. Zbl 0796.53038
Bowditch, B. H.
2
1993
Notes on Gromov’s hyperbolicity criterion for path-metric spaces. Zbl 0843.20031
Bowditch, B. H.
47
1991
Singular Euclidean structures on surfaces. Zbl 0748.57003
Bowditch, Brian H.
7
1991
Natural triangulations associated to a surface. Zbl 0649.32017
Bowditch, B. H.; Epstein, D. B. A.
21
1988
all top 5

Cited by 786 Authors

19 Bowditch, Brian H.
18 Dahmani, François
17 Sisto, Alessandro
16 Mj, Mahan
16 Osin, Denis V.
14 Guirardel, Vincent
14 Rodríguez García, José Manuel
13 Kapovich, Michael
11 Paulin, Frédéric
11 Tan, Ser Peow
10 Groves, Daniel P.
10 Kapovich, Ilya
10 Papasoglu, Panos
9 Fujiwara, Koji
9 Hamenstädt, Ursula
9 Levitt, Gilbert
9 Sigarreta Almira, José María
9 Swenson, Eric L.
8 Behrstock, Jason A.
8 Martínez-Pedroza, Eduardo
8 Oh, Hee
8 Ohshika, Ken’ichi
8 Peigné, Marc
8 Przytycki, Piotr
7 Abbott, Carolyn R.
7 Bromberg, Kenneth W.
7 Hillman, Jonathan Arthur
7 Hruska, G. Christopher
7 Kleiner, Bruce
7 Parkkonen, Jouni
7 Rafi, Kasra
7 Simmons, David
7 Wise, Daniel T.
7 Yang, Wenyuan
6 Bestvina, Mladen
6 Druţu, Cornelia
6 Manning, Jason Fox
6 Potyagailo, Leonid
6 Sakuma, Makoto
5 Belegradek, Igor
5 Brock, Jeffrey F.
5 Canary, Richard D.
5 Cashen, Christopher H.
5 Coulon, Rémi
5 Dal’bo, Françoise
5 Dussaule, Matthieu
5 Gekhtman, Ilya
5 Genevois, Anthony
5 Gerasimov, Victor N.
5 Gruber, Dominik
5 Hagen, Mark F.
5 Hume, David
5 Leininger, Christopher J.
5 Maher, Joseph
5 Minsky, Yair N.
5 Mosher, Lee
5 Osajda, Damian L.
5 Pal, Abhijit
5 Sapir, Mark Valentinovich
5 Shi, Enhui
5 Webb, Richard C. H.
4 Aougab, Tarik
4 Arzhantseva, Goulnara N.
4 Baik, Hyungryul
4 Bermudo, Sergio
4 Calegari, Danny Matthew Cornelius
4 Carballosa, Walter
4 Cooper, Daryl
4 Haulmark, Matthew
4 Hensel, Sebastian Wolfgang
4 Ivanov, Aleksander A.
4 Koberda, Thomas
4 Ma, Jiming
4 Mackay, John M.
4 Maloni, Sara
4 Mangahas, Johanna
4 Margalit, Dan
4 Mihalik, Michael L.
4 Mohammadi, Amir
4 Parker, John R.
4 Rivin, Igor
4 Rosenberger, Gerhard
4 Sambusetti, Andrea
4 Schleimer, Saul
4 Taylor, Samuel Joseph
4 Urbański, Mariusz
4 Wilton, Henry John Rutley
4 Wright, Nick J.
4 Zhang, Ying
3 Agol, Ian
3 André, Simon
3 Aramayona, Javier
3 Baker, Mark D.
3 Bartels, Arthur C.
3 Bonfert-Taylor, Petra
3 Bumagin, Inna
3 Charitos, Charalampos
3 Chepoi, Victor D.
3 de Cornulier, Yves
3 Delzant, Thomas
...and 686 more Authors
all top 5

Cited in 162 Serials

59 Geometriae Dedicata
50 Geometry & Topology
47 Algebraic & Geometric Topology
44 Groups, Geometry, and Dynamics
42 Transactions of the American Mathematical Society
33 Topology and its Applications
25 Proceedings of the American Mathematical Society
24 International Journal of Algebra and Computation
20 Israel Journal of Mathematics
20 Annales de l’Institut Fourier
20 Duke Mathematical Journal
20 Inventiones Mathematicae
19 Geometric and Functional Analysis. GAFA
16 Ergodic Theory and Dynamical Systems
15 Advances in Mathematics
15 Mathematische Annalen
14 Mathematische Zeitschrift
13 Journal of the American Mathematical Society
12 Journal of Algebra
12 Journal of Topology and Analysis
9 Conformal Geometry and Dynamics
8 Journal of the European Mathematical Society (JEMS)
7 Compositio Mathematica
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Journal of Group Theory
7 Journal of Topology
6 Mathematical Proceedings of the Cambridge Philosophical Society
6 Journal of Pure and Applied Algebra
6 Journal für die Reine und Angewandte Mathematik
6 L’Enseignement Mathématique. 2e Série
5 Acta Mathematica
5 Bulletin of the London Mathematical Society
5 Discrete & Computational Geometry
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 Experimental Mathematics
5 Annals of Mathematics. Second Series
4 Communications in Algebra
4 Discrete Mathematics
4 Journal of the London Mathematical Society. Second Series
4 Michigan Mathematical Journal
4 International Journal of Mathematics
4 Journal of Knot Theory and its Ramifications
4 Electronic Research Announcements of the American Mathematical Society
4 Annales Academiae Scientiarum Fennicae. Mathematica
4 Journal de l’École Polytechnique – Mathématiques
3 American Mathematical Monthly
3 Communications in Mathematical Physics
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Commentarii Mathematici Helvetici
3 Publications Mathématiques
3 Memoirs of the American Mathematical Society
3 Pacific Journal of Mathematics
3 Results in Mathematics
3 The Journal of Geometric Analysis
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Transformation Groups
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Discrete Applied Mathematics
2 Journal of Geometry and Physics
2 Glasgow Mathematical Journal
2 Journal of Combinatorial Theory. Series B
2 Journal of Differential Geometry
2 Journal of Functional Analysis
2 Monatshefte für Mathematik
2 Proceedings of the Japan Academy. Series A
2 Proceedings of the London Mathematical Society. Third Series
2 Tôhoku Mathematical Journal. Second Series
2 Tokyo Journal of Mathematics
2 Bulletin of the Korean Mathematical Society
2 Acta Mathematica Hungarica
2 Revista Matemática Iberoamericana
2 Publicacions Matemàtiques
2 Differential Geometry and its Applications
2 Bulletin of the American Mathematical Society. New Series
2 Expositiones Mathematicae
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Journal of Mathematical Sciences (New York)
2 Acta Mathematica Sinica. English Series
2 Annales Henri Poincaré
2 Journal of the Australian Mathematical Society
2 Journal of the Institute of Mathematics of Jussieu
2 Complex Variables and Elliptic Equations
2 Journal of Modern Dynamics
2 Science China. Mathematics
2 Kyoto Journal of Mathematics
2 Symmetry
2 Forum of Mathematics, Pi
2 Analysis and Geometry in Metric Spaces
2 Arnold Mathematical Journal
2 Transactions of the American Mathematical Society. Series B
2 Winter Braids Lecture Notes
2 Annales Henri Lebesgue
1 International Journal of Modern Physics B
1 Bulletin of the Australian Mathematical Society
1 Computers & Mathematics with Applications
1 Journal of Mathematical Physics
1 Mathematical Notes
1 Nonlinearity
1 Rocky Mountain Journal of Mathematics
1 Beiträge zur Algebra und Geometrie
...and 62 more Serials
all top 5

Cited in 45 Fields

514 Group theory and generalizations (20-XX)
398 Manifolds and cell complexes (57-XX)
140 Differential geometry (53-XX)
129 Functions of a complex variable (30-XX)
117 Dynamical systems and ergodic theory (37-XX)
82 Topological groups, Lie groups (22-XX)
67 Combinatorics (05-XX)
52 Several complex variables and analytic spaces (32-XX)
36 Number theory (11-XX)
33 General topology (54-XX)
30 Geometry (51-XX)
22 Global analysis, analysis on manifolds (58-XX)
20 Probability theory and stochastic processes (60-XX)
17 Measure and integration (28-XX)
17 Convex and discrete geometry (52-XX)
16 Functional analysis (46-XX)
14 Algebraic topology (55-XX)
13 Mathematical logic and foundations (03-XX)
13 Algebraic geometry (14-XX)
12 Order, lattices, ordered algebraic structures (06-XX)
12 Computer science (68-XX)
9 Abstract harmonic analysis (43-XX)
7 Partial differential equations (35-XX)
6 Associative rings and algebras (16-XX)
5 Category theory; homological algebra (18-XX)
5 \(K\)-theory (19-XX)
4 General and overarching topics; collections (00-XX)
4 Operator theory (47-XX)
4 Biology and other natural sciences (92-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Real functions (26-XX)
3 Potential theory (31-XX)
3 Ordinary differential equations (34-XX)
3 Numerical analysis (65-XX)
3 Quantum theory (81-XX)
3 Statistical mechanics, structure of matter (82-XX)
3 Relativity and gravitational theory (83-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 History and biography (01-XX)
2 Nonassociative rings and algebras (17-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Information and communication theory, circuits (94-XX)
1 General algebraic systems (08-XX)
1 Special functions (33-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

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