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Reid, Alan W.

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Author ID: reid.alan-w Recent zbMATH articles by "Reid, Alan W."
Published as: Reid, Alan W.; Reid, A. W.; Reid, Alan
External Links: MGP
Documents Indexed: 113 Publications since 1987, including 5 Books
Reviewing Activity: 7 Reviews
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Serials

6 Mathematical Proceedings of the Cambridge Philosophical Society
6 Proceedings of the American Mathematical Society
5 Mathematical Research Letters
5 Geometry & Topology
5 Algebraic & Geometric Topology
4 Bulletin of the London Mathematical Society
4 Mathematische Annalen
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 IMRN. International Mathematics Research Notices
3 Duke Mathematical Journal
3 Experimental Mathematics
3 Pure and Applied Mathematics Quarterly
2 Journal of Algebra
2 Journal of the London Mathematical Society. Second Series
2 Topology
2 Journal of Knot Theory and its Ramifications
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Communications in Analysis and Geometry
2 Annals of Mathematics. Second Series
2 Contemporary Mathematics
2 Groups, Geometry, and Dynamics
1 Israel Journal of Mathematics
1 Chaos, Solitons and Fractals
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Canadian Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Commentarii Mathematici Helvetici
1 Geometriae Dedicata
1 Illinois Journal of Mathematics
1 Inventiones Mathematicae
1 Journal of Differential Geometry
1 Journal of Pure and Applied Algebra
1 Journal für die Reine und Angewandte Mathematik
1 Mathematika
1 Pacific Journal of Mathematics
1 Transactions of the American Mathematical Society
1 Journal of the American Mathematical Society
1 Geometric and Functional Analysis. GAFA
1 Journal of the Australian Mathematical Society. Series A
1 Notices of the American Mathematical Society
1 The New York Journal of Mathematics
1 Transformation Groups
1 Acta Mathematica Sinica. English Series
1 Oberwolfach Reports
1 Graduate Texts in Mathematics
1 Ohio State University Mathematical Research Institute Publications
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Topology
1 Journal of Topology and Analysis
1 Publicações Matemáticas do IMPA

Publications by Year

Citations contained in zbMATH Open

92 Publications have been cited 975 times in 651 Documents Cited by Year
The arithmetic of hyperbolic 3-manifolds. Zbl 1025.57001
Maclachlan, Colin; Reid, Alan W.
163
2003
Arithmetic of hyperbolic manifolds. Zbl 0777.57007
Neumann, Walter D.; Reid, Alan W.
47
1992
Essential closed surfaces in bounded 3-manifolds. Zbl 0896.57009
Cooper, D.; Long, D. D.; Reid, A. W.
33
1997
Arithmeticity of knot complements. Zbl 0847.57013
Reid, Alan W.
32
1991
The Bianchi groups are separable on geometrically finite subgroups. Zbl 1067.20067
Agol, I.; Long, D. D.; Reid, A. W.
31
2001
On the geometric boundaries of hyperbolic 4-manifolds. Zbl 0961.57011
Long, D. D.; Reid, A. W.
25
2000
Commensurability classes of arithmetic Kleinian groups and their Fuchsian subgroups. Zbl 0632.30043
Maclachlan, C.; Reid, A. W.
25
1987
Isospectrality and commensurability of arithmetic hyperbolic 2- and 3- manifolds. Zbl 0776.58040
Reid, Alan W.
24
1992
Arithmeticity, discreteness and volume. Zbl 0889.30031
Gehring, F. W.; Maclachlan, C.; Martin, G. J.; Reid, A. W.
20
1997
A note on trace-fields of Kleinian groups. Zbl 0706.20038
Reid, Alan W.
20
1990
Subgroup separability and virtual retractions of groups. Zbl 1169.57003
Long, D. D.; Reid, A. W.
19
2008
Tangle decompositions of tunnel number one knots and links. Zbl 0841.57012
Gordon, C. McA.; Reid, A. W.
18
1995
The arithmetic hyperbolic \(3\)-manifold of smallest volume. Zbl 1008.11015
Chinburg, Ted; Friedman, Eduardo; Jones, Kerry. N.; Reid, Alan W.
18
2001
Determining Fuchsian groups by their finite quotients. Zbl 1361.20037
Bridson, M. R.; Conder, M. D. E.; Reid, A. W.
17
2016
The arithmetic structure of tetrahedral groups of hyperbolic isometries. Zbl 0668.20038
Maclachlan, C.; Reid, A. W.
14
1989
Simon’s conjecture for two-bridge knots. Zbl 1211.57004
Boileau, Michel; Boyer, Steve; Reid, Alan W.; Wang, Shicheng
13
2010
Unknotting tunnels in two-bridge knot and link complements. Zbl 0873.57006
Adams, Colin C.; Reid, Alan W.
13
1996
All flat manifolds are cusps of hyperbolic orbifolds. Zbl 0998.57038
Long, D. D.; Reid, A. W.
13
2002
Surface subgroups of Coxeter and Artin groups. Zbl 1057.20031
Gordon, C. McA.; Long, D. D.; Reid, A. W.
12
2004
Arithmetic Fuchsian groups of genus zero. Zbl 1107.20037
Long, D. D.; Maclachlan, C.; Reid, A. W.
12
2006
Commensurability classes of 2-bridge knot complements. Zbl 1154.57001
Reid, Alan W.; Walsh, Genevieve S.
12
2008
Geodesics and commensurability classes of arithmetic hyperbolic 3-manifolds. Zbl 1169.53030
Chinburg, T.; Hamilton, E.; Long, D. D.; Reid, A. W.
12
2008
Totally geodesic surfaces in hyperbolic link complements. Zbl 0769.57014
Menasco, William; Reid, Alan W.
11
1992
Constructing hyperbolic manifolds which bound geometrically. Zbl 0992.57023
Long, D. D.; Reid, A. W.
11
2001
Rigidity of cusps in deformations of hyperbolic 3-orbifolds. Zbl 0813.57013
Neumann, Walter D.; Reid, Alan W.
11
1993
Bundles and finite foliations. Zbl 0858.57015
Cooper, D.; Long, D. D.; Reid, A. W.
11
1994
Arithmetic hyperbolic surface bundles. Zbl 0830.57008
Bowditch, B. H.; Maclachlan, C.; Reid, A. W.
10
1995
Hyperbolic structures on knot complements. Zbl 0935.57017
Callahan, P. J.; Reid, A. W.
10
1998
Simple quotients of hyperbolic 3-manifold groups. Zbl 0891.57012
Long, D. D.; Reid, A. W.
10
1998
Parametrizing Fuchsian subgroups of the Bianchi groups. Zbl 0739.20020
Maclachlan, C.; Reid, A. W.
9
1991
Zariski dense surface subgroups in \(\mathrm{SL}(3,\mathbb Z)\). Zbl 1253.22007
Long, Darren D.; Reid, Alan W.; Thistlethwaite, Morwen
9
2011
A non-Haken hyperbolic 3-manifold covered by a surface bundle. Zbl 0817.57014
Reid, Alan W.
9
1995
Surface subgroups and subgroup separability in 3-manifold topology. Paper from the 25th Brazilian mathematics colloquium—colóquio Brasileiro de matemática, Rio de Janeiro, Brazil, July 24–29, 2005. Zbl 1074.57010
Long, Darren; Reid, Alan W.
9
2005
Systoles of hyperbolic 3-manifolds. Zbl 0958.57015
Adams, Colin C.; Reid, Alan W.
9
2000
The co-rank conjecture for 3-manifold groups. Zbl 0983.57001
Leininger, Christopher J.; Reid, Alan W.
9
2002
A combination theorem for Veech subgroups of the mapping class group. Zbl 1099.57002
Leininger, C. J.; Reid, A. W.
8
2006
Length and eigenvalue equivalence. Zbl 1158.53032
Leininger, C. J.; McReynolds, D. B.; Neumann, W. D.; Reid, A. W.
8
2007
Heegaard genus and property \({\tau}\) for hyperbolic 3-manifolds. Zbl 1158.57018
Long, D. D.; Lubotzky, A.; Reid, A. W.
8
2008
Non-Haken 3-manifolds are not large with respect to mappings of non-zero degree. Zbl 0930.57012
Reid, Alan W.; Wang, Shicheng
8
1999
Arithmetic knots in closed 3-manifolds. Zbl 1023.57008
Baker, M. D.; Reid, A. W.
8
2002
Generalised Fibonacci manifolds. Zbl 0890.57023
Maclachlan, C.; Reid, A. W.
8
1997
All finite groups are involved in the mapping class group. Zbl 1254.57018
Masbaum, Gregor; Reid, Alan W.
8
2012
Small subgroups of SL\((3,\mathbb Z)\). Zbl 1269.57002
Long, D. D.; Reid, A. W.
8
2011
Profinite rigidity and surface bundles over the circle. Zbl 1439.57006
Bridson, Martin R.; Reid, Alan W.; Wilton, Henry
7
2017
Covering spaces of arithmetic 3-orbifolds. Zbl 1155.57022
Lackenby, Marc; Long, Darren D.; Reid, Alan W.
7
2008
Amalgamation and the invariant trace field of a Kleinian group. Zbl 0728.57009
Neumann, Walter D.; Reid, Alan W.
7
1991
Commensurability and the character variety. Zbl 0962.57006
Long, D. D.; Reid, A. W.
7
1999
On subgroup separability in hyperbolic Coxeter groups. Zbl 1062.20044
Long, D. D.; Reid, A. W.
7
2001
Quasi-Fuchsian surfaces in hyperbolic knot complements. Zbl 0795.57008
Adams, Colin C.; Reid, Alan W.
7
1993
Pseudomodular surfaces. Zbl 1083.20043
Long, D. D.; Reid, A. W.
7
2002
Minimal index torsion-free subgroups of Kleinian groups. Zbl 0890.57016
Jones, Kerry N.; Reid, Alan W.
7
1998
Principal congruence link complements. Zbl 1322.57015
Baker, Mark D.; Reid, Alan W.
6
2014
The genus spectrum of a hyperbolic 3-manifold. Zbl 1301.53039
McReynolds, D. B.; Reid, A. W.
6
2014
Cusps of minimal non-compact arithmetic hyperbolic 3-orbifolds. Zbl 1193.57008
Chinburg, Ted; Long, Darren; Reid, Alan W.
6
2008
Infinite Coxeter groups are virtually indicable. Zbl 0915.20018
Cooper, D.; Long, D. D.; Reid, A. W.
6
1998
Closed hyperbolic 3-manifolds whose closed geodesics all are simple. Zbl 0783.53028
Chinburg, Ted; Reid, Alan W.
6
1993
Finite foliations and similarity interval exchange maps. Zbl 0873.57023
Cooper, D.; Long, D. D.; Reid, A. W.
6
1997
Totally geodesic surfaces in hyperbolic 3-manifolds. Zbl 0714.57010
Reid, Alan W.
6
1991
Collisions at infinity in hyperbolic manifolds. Zbl 1290.57027
McReynolds, D. B.; Reid, Alan W.; Stover, Matthew
5
2013
Teichmüller mappings, quasiconformal homogeneity, and non-amenable covers of Riemann surfaces. Zbl 1239.30007
Bonfert-Taylor, Petra; Martin, Gaven; Reid, Alan W.; Taylor, Edward C.
5
2011
Surface subgroups of mapping class groups. Zbl 1306.57015
Reid, Alan W.
5
2006
Commensurators of finitely generated nonfree Kleinian groups. Zbl 1237.20044
Leininger, Christopher; Long, Darren D.; Reid, Alan W.
5
2011
Integral points on character varieties. Zbl 1048.57009
Long, D. D.; Reid, A. W.
5
2003
Grothendieck’s problem for 3-manifold groups. Zbl 1250.57027
Long, Darren D.; Reid, Alan W.
4
2011
On Fuchsian groups with the same set of axes. Zbl 0935.20038
Long, D. D.; Reid, A. W.
4
1998
Embedding arithmetic hyperbolic manifolds. Zbl 1446.57022
Kolpakov, Alexander; Reid, Alan W.; Slavich, Leone
4
2018
Nilpotent completions of groups, Grothendieck pairs, and four problems of Baumslag. Zbl 1334.20030
Bridson, Martin R.; Reid, Alan W.
4
2015
Traces, lengths, axes and commensurability. Zbl 1322.57002
Reid, Alan W.
3
2014
Profinite properties of discrete groups. Zbl 1354.20018
Reid, Alan W.
3
2015
Notes on Adams’ small volume orbifolds. Zbl 0773.57009
Neumann, Walter D.; Reid, Alan W.
3
1992
All principal congruence link groups. Zbl 1431.57025
Baker, M. D.; Goerner, M.; Reid, A. W.
3
2019
On the virtual Betti numbers of arithmetic hyperbolic 3-manifolds. Zbl 1140.57002
Cooper, D.; Long, D. D.; Reid, A. W.
3
2007
LERF and the Lubotzky-Sarnak conjecture. Zbl 1157.57009
Lackenby, Marc; Long, Darren D.; Reid, Alan W.
3
2008
VOL3 and other exceptional hyperbolic 3-manifolds. Zbl 0963.57007
Jones, K. N.; Reid, A. W.
3
2001
Splitting groups of signature \((1;n)\). Zbl 0861.20047
Long, D. D.; Maclachlan, C.; Reid, A. W.
3
1996
The fundamental group of the double of the figure-eight knot exterior is GFERF. Zbl 1034.57014
Long, D. D.; Reid, A. W.
3
2001
Profinite rigidity, fibering, and the figure-eight knot. Zbl 1452.57013
Bridson, Martin R.; Reid, Alan W.
3
2020
On asymmetric hyperbolic manifolds. Zbl 1065.57022
Long, D. D.; Reid, A. W.
2
2005
Non-simple geodesics in hyperbolic 3-manifolds. Zbl 0865.57017
Jones, Kerry N.; Reid, Alan W.
2
1994
Geodesic intersections in arithmetic hyperbolic 3-manifolds. Zbl 0887.57015
Jones, Kerry N.; Reid, Alan W.
2
1997
Pseudo-Anosov homeomorphisms not arising from branched covers. Zbl 1445.37033
Leininger, Christopher J.; Reid, Alan W.
2
2020
Absolute profinite rigidity and hyperbolic geometry. Zbl 1455.57028
Bridson, Martin; McReynolds, David Ben; Reid, Alan; Spitler, Ryan
2
2020
Principal congruence links: class number greater than 1. Zbl 1411.57006
Baker, Mark D.; Reid, A. W.
2
2018
Finding fibre faces in finite covers. Zbl 1148.57003
Long, D. D.; Reid, A. W.
1
2008
Topology ’90. Contributions from a research semester in low dimensional topology, held at Ohio State University, Columbus, OH (USA), from Feb. through June 1990. Zbl 0747.00024
Apanasov, Boris (ed.); Neumann, Walter D. (ed.); Reid, Alan W. (ed.); Siebenmann, Laurent (ed.)
1
1992
Eigenvalues of hyperbolic elements in Kleinian groups. Zbl 1205.20053
Long, D. D.; Reid, A. W.
1
2010
Exceptional regions and associated exceptional hyperbolic 3-manifolds (with an appendix by Alan W. Reid). Zbl 1146.57027
Champanerkar, Abhijit; Lewis, Jacob; Lipyanskiy, Max; Meltzer, Scott; Reid, Alan W.
1
2007
Generalized Dedekind sums. Zbl 1082.11021
Long, D. D.; Reid, A. W.
1
2004
Invariant trace-fields and quaternion algebras of polyhedral groups. Zbl 0922.57009
Maclachlan, C.; Reid, A. W.
1
1998
Many cusped hyperbolic 3-manifolds do not bound geometrically. Zbl 1436.57030
Kolpakov, Alexander; Reid, Alan W.; Riolo, Stefano
1
2020
What is \(\dots\) a thin group? Zbl 1423.20060
Kontorovich, Alex; Long, D. Darren; Lubotzky, Alexander; Reid, Alan W.
1
2019
Gonality and genus of canonical components of character varieties. Zbl 1467.57012
Petersen, Kathleen L.; Reid, Alan W.
1
2020
Profinite rigidity, fibering, and the figure-eight knot. Zbl 1452.57013
Bridson, Martin R.; Reid, Alan W.
3
2020
Pseudo-Anosov homeomorphisms not arising from branched covers. Zbl 1445.37033
Leininger, Christopher J.; Reid, Alan W.
2
2020
Absolute profinite rigidity and hyperbolic geometry. Zbl 1455.57028
Bridson, Martin; McReynolds, David Ben; Reid, Alan; Spitler, Ryan
2
2020
Many cusped hyperbolic 3-manifolds do not bound geometrically. Zbl 1436.57030
Kolpakov, Alexander; Reid, Alan W.; Riolo, Stefano
1
2020
Gonality and genus of canonical components of character varieties. Zbl 1467.57012
Petersen, Kathleen L.; Reid, Alan W.
1
2020
All principal congruence link groups. Zbl 1431.57025
Baker, M. D.; Goerner, M.; Reid, A. W.
3
2019
What is \(\dots\) a thin group? Zbl 1423.20060
Kontorovich, Alex; Long, D. Darren; Lubotzky, Alexander; Reid, Alan W.
1
2019
Embedding arithmetic hyperbolic manifolds. Zbl 1446.57022
Kolpakov, Alexander; Reid, Alan W.; Slavich, Leone
4
2018
Principal congruence links: class number greater than 1. Zbl 1411.57006
Baker, Mark D.; Reid, A. W.
2
2018
Profinite rigidity and surface bundles over the circle. Zbl 1439.57006
Bridson, Martin R.; Reid, Alan W.; Wilton, Henry
7
2017
Determining Fuchsian groups by their finite quotients. Zbl 1361.20037
Bridson, M. R.; Conder, M. D. E.; Reid, A. W.
17
2016
Nilpotent completions of groups, Grothendieck pairs, and four problems of Baumslag. Zbl 1334.20030
Bridson, Martin R.; Reid, Alan W.
4
2015
Profinite properties of discrete groups. Zbl 1354.20018
Reid, Alan W.
3
2015
Principal congruence link complements. Zbl 1322.57015
Baker, Mark D.; Reid, Alan W.
6
2014
The genus spectrum of a hyperbolic 3-manifold. Zbl 1301.53039
McReynolds, D. B.; Reid, A. W.
6
2014
Traces, lengths, axes and commensurability. Zbl 1322.57002
Reid, Alan W.
3
2014
Collisions at infinity in hyperbolic manifolds. Zbl 1290.57027
McReynolds, D. B.; Reid, Alan W.; Stover, Matthew
5
2013
All finite groups are involved in the mapping class group. Zbl 1254.57018
Masbaum, Gregor; Reid, Alan W.
8
2012
Zariski dense surface subgroups in \(\mathrm{SL}(3,\mathbb Z)\). Zbl 1253.22007
Long, Darren D.; Reid, Alan W.; Thistlethwaite, Morwen
9
2011
Small subgroups of SL\((3,\mathbb Z)\). Zbl 1269.57002
Long, D. D.; Reid, A. W.
8
2011
Teichmüller mappings, quasiconformal homogeneity, and non-amenable covers of Riemann surfaces. Zbl 1239.30007
Bonfert-Taylor, Petra; Martin, Gaven; Reid, Alan W.; Taylor, Edward C.
5
2011
Commensurators of finitely generated nonfree Kleinian groups. Zbl 1237.20044
Leininger, Christopher; Long, Darren D.; Reid, Alan W.
5
2011
Grothendieck’s problem for 3-manifold groups. Zbl 1250.57027
Long, Darren D.; Reid, Alan W.
4
2011
Simon’s conjecture for two-bridge knots. Zbl 1211.57004
Boileau, Michel; Boyer, Steve; Reid, Alan W.; Wang, Shicheng
13
2010
Eigenvalues of hyperbolic elements in Kleinian groups. Zbl 1205.20053
Long, D. D.; Reid, A. W.
1
2010
Subgroup separability and virtual retractions of groups. Zbl 1169.57003
Long, D. D.; Reid, A. W.
19
2008
Commensurability classes of 2-bridge knot complements. Zbl 1154.57001
Reid, Alan W.; Walsh, Genevieve S.
12
2008
Geodesics and commensurability classes of arithmetic hyperbolic 3-manifolds. Zbl 1169.53030
Chinburg, T.; Hamilton, E.; Long, D. D.; Reid, A. W.
12
2008
Heegaard genus and property \({\tau}\) for hyperbolic 3-manifolds. Zbl 1158.57018
Long, D. D.; Lubotzky, A.; Reid, A. W.
8
2008
Covering spaces of arithmetic 3-orbifolds. Zbl 1155.57022
Lackenby, Marc; Long, Darren D.; Reid, Alan W.
7
2008
Cusps of minimal non-compact arithmetic hyperbolic 3-orbifolds. Zbl 1193.57008
Chinburg, Ted; Long, Darren; Reid, Alan W.
6
2008
LERF and the Lubotzky-Sarnak conjecture. Zbl 1157.57009
Lackenby, Marc; Long, Darren D.; Reid, Alan W.
3
2008
Finding fibre faces in finite covers. Zbl 1148.57003
Long, D. D.; Reid, A. W.
1
2008
Length and eigenvalue equivalence. Zbl 1158.53032
Leininger, C. J.; McReynolds, D. B.; Neumann, W. D.; Reid, A. W.
8
2007
On the virtual Betti numbers of arithmetic hyperbolic 3-manifolds. Zbl 1140.57002
Cooper, D.; Long, D. D.; Reid, A. W.
3
2007
Exceptional regions and associated exceptional hyperbolic 3-manifolds (with an appendix by Alan W. Reid). Zbl 1146.57027
Champanerkar, Abhijit; Lewis, Jacob; Lipyanskiy, Max; Meltzer, Scott; Reid, Alan W.
1
2007
Arithmetic Fuchsian groups of genus zero. Zbl 1107.20037
Long, D. D.; Maclachlan, C.; Reid, A. W.
12
2006
A combination theorem for Veech subgroups of the mapping class group. Zbl 1099.57002
Leininger, C. J.; Reid, A. W.
8
2006
Surface subgroups of mapping class groups. Zbl 1306.57015
Reid, Alan W.
5
2006
Surface subgroups and subgroup separability in 3-manifold topology. Paper from the 25th Brazilian mathematics colloquium—colóquio Brasileiro de matemática, Rio de Janeiro, Brazil, July 24–29, 2005. Zbl 1074.57010
Long, Darren; Reid, Alan W.
9
2005
On asymmetric hyperbolic manifolds. Zbl 1065.57022
Long, D. D.; Reid, A. W.
2
2005
Surface subgroups of Coxeter and Artin groups. Zbl 1057.20031
Gordon, C. McA.; Long, D. D.; Reid, A. W.
12
2004
Generalized Dedekind sums. Zbl 1082.11021
Long, D. D.; Reid, A. W.
1
2004
The arithmetic of hyperbolic 3-manifolds. Zbl 1025.57001
Maclachlan, Colin; Reid, Alan W.
163
2003
Integral points on character varieties. Zbl 1048.57009
Long, D. D.; Reid, A. W.
5
2003
All flat manifolds are cusps of hyperbolic orbifolds. Zbl 0998.57038
Long, D. D.; Reid, A. W.
13
2002
The co-rank conjecture for 3-manifold groups. Zbl 0983.57001
Leininger, Christopher J.; Reid, Alan W.
9
2002
Arithmetic knots in closed 3-manifolds. Zbl 1023.57008
Baker, M. D.; Reid, A. W.
8
2002
Pseudomodular surfaces. Zbl 1083.20043
Long, D. D.; Reid, A. W.
7
2002
The Bianchi groups are separable on geometrically finite subgroups. Zbl 1067.20067
Agol, I.; Long, D. D.; Reid, A. W.
31
2001
The arithmetic hyperbolic \(3\)-manifold of smallest volume. Zbl 1008.11015
Chinburg, Ted; Friedman, Eduardo; Jones, Kerry. N.; Reid, Alan W.
18
2001
Constructing hyperbolic manifolds which bound geometrically. Zbl 0992.57023
Long, D. D.; Reid, A. W.
11
2001
On subgroup separability in hyperbolic Coxeter groups. Zbl 1062.20044
Long, D. D.; Reid, A. W.
7
2001
VOL3 and other exceptional hyperbolic 3-manifolds. Zbl 0963.57007
Jones, K. N.; Reid, A. W.
3
2001
The fundamental group of the double of the figure-eight knot exterior is GFERF. Zbl 1034.57014
Long, D. D.; Reid, A. W.
3
2001
On the geometric boundaries of hyperbolic 4-manifolds. Zbl 0961.57011
Long, D. D.; Reid, A. W.
25
2000
Systoles of hyperbolic 3-manifolds. Zbl 0958.57015
Adams, Colin C.; Reid, Alan W.
9
2000
Non-Haken 3-manifolds are not large with respect to mappings of non-zero degree. Zbl 0930.57012
Reid, Alan W.; Wang, Shicheng
8
1999
Commensurability and the character variety. Zbl 0962.57006
Long, D. D.; Reid, A. W.
7
1999
Hyperbolic structures on knot complements. Zbl 0935.57017
Callahan, P. J.; Reid, A. W.
10
1998
Simple quotients of hyperbolic 3-manifold groups. Zbl 0891.57012
Long, D. D.; Reid, A. W.
10
1998
Minimal index torsion-free subgroups of Kleinian groups. Zbl 0890.57016
Jones, Kerry N.; Reid, Alan W.
7
1998
Infinite Coxeter groups are virtually indicable. Zbl 0915.20018
Cooper, D.; Long, D. D.; Reid, A. W.
6
1998
On Fuchsian groups with the same set of axes. Zbl 0935.20038
Long, D. D.; Reid, A. W.
4
1998
Invariant trace-fields and quaternion algebras of polyhedral groups. Zbl 0922.57009
Maclachlan, C.; Reid, A. W.
1
1998
Essential closed surfaces in bounded 3-manifolds. Zbl 0896.57009
Cooper, D.; Long, D. D.; Reid, A. W.
33
1997
Arithmeticity, discreteness and volume. Zbl 0889.30031
Gehring, F. W.; Maclachlan, C.; Martin, G. J.; Reid, A. W.
20
1997
Generalised Fibonacci manifolds. Zbl 0890.57023
Maclachlan, C.; Reid, A. W.
8
1997
Finite foliations and similarity interval exchange maps. Zbl 0873.57023
Cooper, D.; Long, D. D.; Reid, A. W.
6
1997
Geodesic intersections in arithmetic hyperbolic 3-manifolds. Zbl 0887.57015
Jones, Kerry N.; Reid, Alan W.
2
1997
Unknotting tunnels in two-bridge knot and link complements. Zbl 0873.57006
Adams, Colin C.; Reid, Alan W.
13
1996
Splitting groups of signature \((1;n)\). Zbl 0861.20047
Long, D. D.; Maclachlan, C.; Reid, A. W.
3
1996
Tangle decompositions of tunnel number one knots and links. Zbl 0841.57012
Gordon, C. McA.; Reid, A. W.
18
1995
Arithmetic hyperbolic surface bundles. Zbl 0830.57008
Bowditch, B. H.; Maclachlan, C.; Reid, A. W.
10
1995
A non-Haken hyperbolic 3-manifold covered by a surface bundle. Zbl 0817.57014
Reid, Alan W.
9
1995
Bundles and finite foliations. Zbl 0858.57015
Cooper, D.; Long, D. D.; Reid, A. W.
11
1994
Non-simple geodesics in hyperbolic 3-manifolds. Zbl 0865.57017
Jones, Kerry N.; Reid, Alan W.
2
1994
Rigidity of cusps in deformations of hyperbolic 3-orbifolds. Zbl 0813.57013
Neumann, Walter D.; Reid, Alan W.
11
1993
Quasi-Fuchsian surfaces in hyperbolic knot complements. Zbl 0795.57008
Adams, Colin C.; Reid, Alan W.
7
1993
Closed hyperbolic 3-manifolds whose closed geodesics all are simple. Zbl 0783.53028
Chinburg, Ted; Reid, Alan W.
6
1993
Arithmetic of hyperbolic manifolds. Zbl 0777.57007
Neumann, Walter D.; Reid, Alan W.
47
1992
Isospectrality and commensurability of arithmetic hyperbolic 2- and 3- manifolds. Zbl 0776.58040
Reid, Alan W.
24
1992
Totally geodesic surfaces in hyperbolic link complements. Zbl 0769.57014
Menasco, William; Reid, Alan W.
11
1992
Notes on Adams’ small volume orbifolds. Zbl 0773.57009
Neumann, Walter D.; Reid, Alan W.
3
1992
Topology ’90. Contributions from a research semester in low dimensional topology, held at Ohio State University, Columbus, OH (USA), from Feb. through June 1990. Zbl 0747.00024
Apanasov, Boris; Neumann, Walter D.; Reid, Alan W.; Siebenmann, Laurent
1
1992
Arithmeticity of knot complements. Zbl 0847.57013
Reid, Alan W.
32
1991
Parametrizing Fuchsian subgroups of the Bianchi groups. Zbl 0739.20020
Maclachlan, C.; Reid, A. W.
9
1991
Amalgamation and the invariant trace field of a Kleinian group. Zbl 0728.57009
Neumann, Walter D.; Reid, Alan W.
7
1991
Totally geodesic surfaces in hyperbolic 3-manifolds. Zbl 0714.57010
Reid, Alan W.
6
1991
A note on trace-fields of Kleinian groups. Zbl 0706.20038
Reid, Alan W.
20
1990
The arithmetic structure of tetrahedral groups of hyperbolic isometries. Zbl 0668.20038
Maclachlan, C.; Reid, A. W.
14
1989
Commensurability classes of arithmetic Kleinian groups and their Fuchsian subgroups. Zbl 0632.30043
Maclachlan, C.; Reid, A. W.
25
1987
all top 5

Cited by 617 Authors

44 Reid, Alan W.
16 Long, Darren D.
14 McReynolds, David Ben
12 Cooper, Daryl
12 Zalesskii, Pavel
11 Leininger, Christopher J.
10 Belolipetsky, Mikhail V.
10 Lackenby, Marc
10 Linowitz, Benjamin
10 Maclachlan, Colin
10 Stover, Matthew
9 Baker, Mark D.
8 Calegari, Danny Matthew Cornelius
7 Agol, Ian
7 Bridson, Martin R.
7 Martin, Gaven J.
7 Vesnin, Andrei Yu.
6 Adams, Colin C.
6 Baker, Kenneth L.
6 Lubotzky, Alexander
6 Masters, Joseph D.
6 Neumann, Walter David
6 Ozawa, Makoto
6 Rahm, Alexander Daniel
6 Rapinchuk, Andrei S.
6 Rosenberger, Gerhard
6 Tschantz, Steven Thomas
6 Wilkes, Gareth
6 Wilton, Henry John Rutley
5 Boileau, Michel Charles
5 Chinburg, Ted
5 Deblois, Jason
5 Dunfield, Nathan M.
5 Friedl, Stefan
5 Garoufalidis, Stavros
5 Grunewald, Fritz J.
5 Haglund, Frédéric
5 Kellerhals, Ruth
5 Kolpakov, Alexander A.
5 Mednykh, Aleksandr Dmitrievich
5 Ratcliffe, John G.
5 Sisto, Alessandro
5 Wang, Shi Cheng
5 Wise, Daniel T.
4 Boyer, Steven
4 Detinko, Alla S.
4 Emery, Vincent
4 Eudave-Muñoz, Mario
4 Flannery, Dane Laurence
4 Futer, David
4 Görner, Matthias
4 Hoste, Jim
4 Jones, Kerry N.
4 Kim, Sang-Hyun
4 Liu, Yi
4 Markovic, Vladimir
4 Marshall, Timothy H.
4 Masbaum, Gregor
4 Nakanishi, Toshihiro
4 Purcell, Jessica S.
4 Raimbault, Jean
4 Shanahan, Patrick D.
4 Slavich, Leone
4 Suzuki, Masaaki
4 Walsh, Genevieve S.
3 Ballas, Samuel A.
3 Bourgain, Jean
3 Bowditch, Brian H.
3 Brock, Jeffrey F.
3 Cavicchioli, Alberto
3 Chagas, Sheila C.
3 Chesebro, Eric
3 del Río, Angel
3 Džambić, Amir
3 Everitt, Brent
3 Friedman, Eduardo C.
3 Funar, Louis
3 Gehring, Frederick William
3 Gelbukh, Irina
3 Geninska, Slavyana
3 Hagen, Mark F.
3 Hoffman, Neil R.
3 Hulpke, Alexander Jörg
3 Jaikin-Zapirain, Andrei
3 Jespers, Eric
3 Kammeyer, Holger
3 Koberda, Thomas
3 Lakeland, Grant S.
3 Martelli, Bruno
3 McMullen, Curtis Tracy
3 Meyer, Jeffrey S.
3 Miatello, Roberto Jorge
3 Milićević, Djordje
3 Miller, Nicholas
3 Mj, Mahan
3 Montesinos-Amilibia, José María
3 Moroianu, Sergiu
3 Nagasato, Fumikazu
3 Nakamura, Gou
3 Patel, Priyam
...and 517 more Authors
all top 5

Cited in 139 Serials

49 Algebraic & Geometric Topology
40 Proceedings of the American Mathematical Society
37 Geometriae Dedicata
37 Geometry & Topology
30 Transactions of the American Mathematical Society
25 Topology and its Applications
23 Journal of Algebra
20 Journal of Knot Theory and its Ramifications
19 Duke Mathematical Journal
13 Experimental Mathematics
11 Journal of Pure and Applied Algebra
11 Geometric and Functional Analysis. GAFA
10 Inventiones Mathematicae
10 Journal of Topology
9 Israel Journal of Mathematics
8 Mathematische Zeitschrift
8 Journal of the American Mathematical Society
8 Transformation Groups
8 Conformal Geometry and Dynamics
8 Groups, Geometry, and Dynamics
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 Mathematische Annalen
7 Annals of Mathematics. Second Series
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Journal of Number Theory
6 Siberian Mathematical Journal
6 Bulletin of the American Mathematical Society. New Series
6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 Bulletin of the Australian Mathematical Society
5 Mathematics of Computation
5 Advances in Mathematics
5 Annales de l’Institut Fourier
5 Computational Methods and Function Theory
4 Kodai Mathematical Journal
4 Michigan Mathematical Journal
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 International Journal of Mathematics
4 International Journal of Algebra and Computation
4 Journal of the European Mathematical Society (JEMS)
3 Chaos, Solitons and Fractals
3 Journal of Geometry and Physics
3 Acta Arithmetica
3 Acta Mathematica Vietnamica
3 Archiv der Mathematik
3 Bulletin of the London Mathematical Society
3 Indiana University Mathematics Journal
3 Publications Mathématiques
3 Proceedings of the London Mathematical Society. Third Series
3 Results in Mathematics
3 Annals of Global Analysis and Geometry
3 Expositiones Mathematicae
3 Selecta Mathematica. New Series
3 Boletín de la Sociedad Matemática Mexicana. Third Series
3 Journal of Group Theory
3 Winter Braids Lecture Notes
2 Communications in Mathematical Physics
2 Rocky Mountain Journal of Mathematics
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Compositio Mathematica
2 Hiroshima Mathematical Journal
2 Journal of the London Mathematical Society. Second Series
2 Journal of the Mathematical Society of Japan
2 Manuscripta Mathematica
2 Pacific Journal of Mathematics
2 Ergodic Theory and Dynamical Systems
2 Differential Geometry and its Applications
2 The Journal of Geometric Analysis
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Topology Proceedings
2 The New York Journal of Mathematics
2 Electronic Research Announcements of the American Mathematical Society
2 Journal of the Institute of Mathematics of Jussieu
2 Oberwolfach Reports
2 International Journal of Number Theory
2 Proceedings of the Steklov Institute of Mathematics
2 Journal of Topology and Analysis
2 Research in the Mathematical Sciences
1 American Mathematical Monthly
1 Nuclear Physics. B
1 Russian Mathematical Surveys
1 The Mathematical Intelligencer
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Algebra and Logic
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
1 Czechoslovak Mathematical Journal
1 Glasgow Mathematical Journal
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Nachrichten
1 Mathematica Slovaca
1 Mathematika
1 Memoirs of the American Mathematical Society
1 Nagoya Mathematical Journal
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Revista Colombiana de Matemáticas
1 Tohoku Mathematical Journal. Second Series
1 Tokyo Journal of Mathematics
1 Discrete & Computational Geometry
1 \(K\)-Theory
1 Sugaku Expositions
...and 39 more Serials
all top 5

Cited in 40 Fields

407 Manifolds and cell complexes (57-XX)
284 Group theory and generalizations (20-XX)
130 Number theory (11-XX)
95 Functions of a complex variable (30-XX)
77 Topological groups, Lie groups (22-XX)
67 Differential geometry (53-XX)
35 Global analysis, analysis on manifolds (58-XX)
29 Dynamical systems and ergodic theory (37-XX)
29 Geometry (51-XX)
27 Algebraic geometry (14-XX)
21 Combinatorics (05-XX)
16 Several complex variables and analytic spaces (32-XX)
14 Associative rings and algebras (16-XX)
14 Algebraic topology (55-XX)
12 Convex and discrete geometry (52-XX)
10 \(K\)-theory (19-XX)
6 General topology (54-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Quantum theory (81-XX)
4 General and overarching topics; collections (00-XX)
4 Computer science (68-XX)
4 Relativity and gravitational theory (83-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Nonassociative rings and algebras (17-XX)
3 Information and communication theory, circuits (94-XX)
2 History and biography (01-XX)
2 Mathematical logic and foundations (03-XX)
2 Field theory and polynomials (12-XX)
2 Commutative algebra (13-XX)
2 Partial differential equations (35-XX)
2 Functional analysis (46-XX)
2 Probability theory and stochastic processes (60-XX)
1 Category theory; homological algebra (18-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Abstract harmonic analysis (43-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Numerical analysis (65-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year