A. Reid

发表

PROFINITE PROPERTIES OF DISCRETE GROUPS

A. Reid, 2013 .

Length equivalent hyperbolic manifolds

C. Leininger, A. Reid, D. McReynolds, 2006 .

Traces, lengths, axes and commensurability

A. Reid, 2014 .

Arithmetic Hyperbolic 3-Manifolds and Orbifolds

A. Reid, C. Maclachlan, 2003 .

Generalized Dedekind sums

A. Reid, D. Long, 2004, math/0409367.

Simon’s conjecture for two-bridge knots

M. Boileau, A. Reid, Shicheng Wang, 2010 .

Simon's conjecture for 2-bridge knots

M. Boileau, A. Reid, Shicheng Wang, 2009, 0903.2898.

The Bianchi groups are separable on geometrically finite subgroups

I. Agol, A. Reid, D. Long, 2001 .

Infinite Coxeter groups are virtually indicarle

A. Reid, D. Cooper, D. Long, 1998, Proceedings of the Edinburgh Mathematical Society.

Commensurability classes of 2-bridge knot complements

A. Reid, G. Walsh, 2006, math/0612473.

Cusps of Minimal Non-compact Arithmetic Hyperbolic 3-orbifolds

T. Chinburg, A. Reid, D. Long, 2008 .

Commensurability classes of 2-bridge knot complements

A. Reid, G. Walsh, 2006, math/0612473.

Length and Eigenvalue Equivalence

C. Leininger, A. Reid, W. Neumann, 2006, math/0606343.

G T ] 1 8 D ec 2 00 6 Commensurability classes of 2-bridge knot complements

A. Reid, G. Walsh, 2006 .

Embedding arithmetic hyperbolic manifolds

A. Kolpakov, A. Reid, Leone Slavich, 2017, 1703.10561.

J un 2 00 6 Length equivalent hyperbolic manifolds 1 Length equivalent hyperbolic manifolds

C. Leininger, A. Reid, D. McReynolds, 2006 .

Sequences of high rank lattices with large systole containing a fixed genus surface group .

A. Reid, D. Long, 2018 .

Some remarks on group actions on hyperbolic 3-manifolds

A. Reid, António Salgueiro, 2022, Art Discret. Appl. Math..

Immersions of punctured 4-manifolds

M. Freedman, P. Teichner, M. Kreck, 2022, 2208.03064.

Length and Torsion in Arithmetic Hyperbolic Orbifolds

A. Reid, C. Maclachlan, 2003 .

Profinite rigidity and surface bundles over the circle

M. Bridson, H. Wilton, A. Reid, 2016, 1610.02410.

LERF and the Lubotzky–Sarnak Conjecture

M. Lackenby, A. Reid, D. Long, 2008, 0804.1305.

Finding fibre faces in finite covers

A. Reid, D. Long, 2008 .

On the virtual Betti numbers of arithmetic hyperbolic 3-manifolds

A. Reid, D. Cooper, D. Long, 2007 .

Covering Spaces of Arithmetic 3-Orbifolds

M. Lackenby, A. Reid, D. Long, 2006, math/0601677.

The co-rank conjecture for 3-manifold groups.

C. Leininger, A. Reid, 2002, math/0202261.

Arithmeticity of Knot Complements

A. Reid, 1991 .

Collisions at infinity in hyperbolic manifolds

A. Reid, D. McReynolds, Matthew Stover, 2012, Mathematical Proceedings of the Cambridge Philosophical Society.

Collisions at innity in hyperbolic manifolds

A. Reid, D. McReynolds, Matthew Stover, 2013 .

Teichmuller Mappings, Quasiconformal Homogeneity, and Non-amenable Covers of Riemann Surfaces

Petra Bonfert-Taylor, G. Martin, A. Reid, 2011 .

The Bianchi groups are subgroup separable on geometrically finite subgroups

I. Agol, A. Reid, D. Long, 1998, math/9811114.

A pr 2 00 8 LERF and the Lubotzky-Sarnak Conjecture

M. Lackenby, A. Reid, D. Long, 2022 .

Infinitely many arithmetic hyperbolic rational homology 3-spheres that bound geometrically

A. Kolpakov, A. Reid, L. Ferrari, 2022, 2203.01997.

The Arithmetic of Hyperbolic 3-Manifolds

A. Reid, C. Maclachlan, 2002 .

Finite foliations and similarity interval exchange maps

A. Reid, D. Cooper, D. Long, 1997 .

All flat manifolds are cusps of hyperbolic orbifolds

A. Reid, D. Long, 2002, math/0204238.

Simple quotients of hyperbolic 3-manifold groups

A. Reid, D. Long, 1998 .

Generalized Hopfian property, minimal Haken manifold, and J. Simon's conjecture for 3-manifold groups

Qing Zhou, A. Reid, Shicheng Wang, 2000, math/0002003.

A combination theorem for Veech subgroups of the mapping class group

C. Leininger, A. Reid, 2004, math/0410041.

Property FA is not a profinite property

A. Lubotzky, A. Reid, Tamunonye Cheetham-West, 2022, 2212.08207.

Twisted group rings which are semi-prime Goldie rings

A. Reid, 1975, Glasgow Mathematical Journal.

Constructing Thin Subgroups in SL(4, R)

A. Reid, D. Long, 2014 .

THIN SURFACE SUBGROUPS IN COCOMPACT LATTICES

A. Reid, D. Long, S. In, 2017 .

All finite groups are involved in the mapping class group

A. Reid, G. Masbaum, 2011, 1106.4261.

Generalised Fibonacci manifolds

A. Reid, C. Maclachlan, 1997 .

Isospectrality and commensurability of arithmetic hyperbolic $2$- and $3$-manifolds

A. Reid, 1992 .

Orders in Quaternion Algebras

A. Reid, C. Maclachlan, 2003 .

A note on Trace-Fields of Kleinian Groups

Alan W. Reid, A. Reid, 1990 .

Zariski dense surface subgroups in SL(3,Z)

M. Thistlethwaite, A. Reid, D. Long, 2011 .

On the profinite rigidity of triangle groups

D. B. McReynolds, A. W. Reid, M. R. Bridson, 2020, Bulletin of the London Mathematical Society.

PROFINITE RIGIDITY

A. Reid, 2019, Proceedings of the International Congress of Mathematicians (ICM 2018).

Determining Fuchsian groups by their finite quotients

M. Bridson, M. Conder, A. Reid, 2014, 1401.3645.

Small Subgroups of

Darren D. Long, Alan W. Reid, A. Reid, 2011, Exp. Math..

Small subgroups of SL(3,Z)

A. Reid, 2010 .

Bundles and finite foliations

A. Reid, D. Cooper, D. Long, 1994 .

Bundles and nite foliations

A. Reid, D. Cooper, D. Long, 1994 .

Heegaard genus and property τ for hyperbolic 3‐manifolds

Darren D. Long, Alexander Lubotzky, Alan W. Reid, 2008 .

Heegaard genus and Property 'tau' for hyperbolic 3-manifolds

A. Lubotzky, A. Reid, D. Long, 2007, 0709.0101.

Hyperbolic structures on knot complements

Alan W. Reid, P. Callahan, P. J. Callahan, 1998 .

Azumaya Algebras and Canonical Components

T. Chinburg, A. Reid, Matthew Stover, 2017, 1706.00952.

Gonality and genus of canonical components of character varieties

Kathleen L. Petersen, A. Reid, 2014, Characters in Low-Dimensional Topology.

Integral points on character varieties

A. Reid, D. Long, 2003 .

Rigidity of cusps in deformations of hyperbolic 3-orbifolds

A. Reid, W. Neumann, 1993 .

Fields of definition of canonical curves

A. Reid, D. Long, 2010 .

Commensurability and the character variety

A. Reid, D. Long, 1999 .

Totally Geodesic Surfaces in Hyperbolic Link Complements

W. Menasco, A. Reid, 1992 .

The Dirac operator on cusped hyperbolic manifolds

A. Reid, B. Martelli, 2022, 2212.06811.

Subgroup separability and virtual retractions of groups

A. Reid, D. Long, 2008 .

LERF, tameness and Simon's conjecture.

A. Reid, 2003 .

Nilpotent Completions of Groups, Grothendieck Pairs, and Four Problems of Baumslag

M. Bridson, A. Reid, 2012, 1211.0493.

TANGLE DECOMPOSITIONS OF TUNNEL NUMBER ONE KNOTS AND LINKS

A. Reid, C. Gordon, 1995 .

Pseudo-Anosov homeomorphisms not arising from branched covers

C. Leininger, A. Reid, 2017, Groups, Geometry, and Dynamics.

Pseudo-Anosov homeomorphism

C. Leininger, A. Reid, 2020 .

Unknotting tunnels in two-bridge knot and link complements

C. Adams, A. Reid, 1996 .

Quasi-Fuchsian surfaces in hyperbolic knot complements

C. Adams, A. Reid, 1993, Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics.

Arithmetic of Hyperbolic Manifolds

Walter D. Neumann, Alan W. Reid, A. Reid, 1992 .

Infinitely Many Knots With NonIntegral Trace

A. Reid, N. Rouse, 2020, Experimental Mathematics.

Constructing 1-cusped isospectral non-isometric hyperbolic 3-manifolds

S. Garoufalidis, A. Reid, 2015, 1509.05309.

Profinite Rigidity, Fibering, and the Figure-Eight Knot

M. Bridson, A. Reid, 2015, What's Next?.

Amalgamation and the invariant trace field of a Kleinian group

A. Reid, W. Neumann, 1991, Mathematical Proceedings of the Cambridge Philosophical Society.

Filling links and spines in 3-manifolds

M. Freedman, C. Leininger, A. Reid, 2020, 2010.15644.

All Known Principal Congruence Links

M. Baker, A. Reid, Matthias Goerner, 2019, 1902.04426.

All principal congruence link groups

M. Baker, A. Reid, Matthias Goerner, 2018, Journal of Algebra.

Systoles of hyperbolic 3-manifolds

C. Adams, A. Reid, 2000, Mathematical Proceedings of the Cambridge Philosophical Society.

Minimal index torsion-free subgroups of Kleinian groups

A. Reid, K. Jones, 1998 .

Systoles of hyperbolic 3-manifolds B

C. Adams, A. Reid, 01267, 2022 .

Totally geodesic hyperbolic 3-manifolds in hyperbolic link complements of tori in $S^4$

A. Reid, Michelle Chu, 2021, 2109.01687.

Embedding closed hyperbolic 3–manifolds in small volume hyperbolic 4–manifolds

A. Reid, Michelle Chu, 2020, Algebraic & Geometric Topology.

Embedding closed hyperbolic 3–manifolds in small volume hyperbolic 4–manifolds

A. Reid, Michelle Chu, 2020, Algebraic and Geometric Topology.

Parametrizing Fuchsian Subgroups of the Bianchi Groups

A. Reid, C. Maclachlan, Alan W. Reid, 1991, Canadian Journal of Mathematics.

Arithmeticity, Discreteness and Volume

A. W. Reid, C. Maclachlan, F. Gehring, 1995, math/9504208.

Notes on Adams' Small Volume Orbifolds

Walter D. Neumann, Alan W. Reid, A. Reid, 1992 .

Discrete Arithmetic Groups

A. Reid, C. Maclachlan, 2003 .

Commensurability classes of arithmetic Kleinian groups and their Fuchsian subgroups

Alan W. Reid, C. Maclachlan, A. Reid, 1987, Mathematical Proceedings of the Cambridge Philosophical Society.

Geodesics and commensurability classes of arithmetic hyperbolic $3$-manifolds

T. Chinburg, A. Reid, D. Long, 2008 .

Closed incompressible surfaces in 2-generator hyperbolic 3-manifolds with a single cusp

A. Reid, D. Long, 1993, Proceedings of the Edinburgh Mathematical Society.

INFINITELY MANY ARITHMETIC ALTERNATING LINKS

A. Reid, 2021 .

Arithmetic knots in closed 3-manifolds

M. Baker, A. Reid, 2002 .

Essential closed surfaces in bounded 3-manifolds

A. Reid, D. Cooper, D. Long, 1997 .

On the geometric boundaries of hyperbolic 4{manifolds

A. Reid, D. Long, 2000, math/0007197.

Hyperbolic manifolds without $\text{spin}^\mathbb{C}$ structures and non-vanishing higher order Stiefel-Whitney classes

A. Reid, Connor Sell, 2023, 2302.08060.

Virtually spinning hyperbolic manifolds

A. Reid, D. Long, 2019, Proceedings of the Edinburgh Mathematical Society.

12 July 2019 VIRTUALLY SPINNING HYPERBOLIC MANIFOLDS

A. Reid, D. Long, 2019 .

Generalized Hopfian Property, a Minimal Haken Manifold, and Epimorphisms Between 3-Manifold Groups

Qing Zhou, A. Reid, Shicheng Wang, 2002 .

Non-Haken 3-manifolds are not large with respect to mappings of non-zero degree

A. Reid, Shicheng Wang, 1999 .

A. Reid, G. Masbaum, 2016, Proceedings of the Steklov Institute of Mathematics.

A. Reid, G. Masbaum, 2014, 1412.3366.

Profinite Rigidity, Kleinian Groups, and the Cofinite Hopf Property

Martin R. Bridson, Alan W. Reid, M. Bridson, 2021, Michigan Mathematical Journal.

Arithmetic Kleinian Groups

A. Reid, C. Maclachlan, 2003 .

A non-Haken hyperbolic $3$-manifold covered by a surface bundle.

A. Reid, 1995 .

The arithmetic structure of tetrahedral groups of hyperbolic isometries

A. Reid, C. Maclachlan, 1989 .

Grothendieck's problem for 3-manifold groups

A. Reid, D. Long, 2011 .

Embedding closed totally geodesic surfaces in Bianchi orbifolds.

A. Reid, Junehyuk Jung, 2020, 2003.05427.

Principal congruence link complements

M. Baker, A. Reid, 2014 .

Embedding closed hyperbolic 3–manifolds in small volume hyperbolic 4–manifolds

A. Reid, M. Chu, Michelle Chu, 2020, Algebraic and Geometric Topology.

Absolute profinite rigidity and hyperbolic geometry

M. Bridson, A. Reid, D. McReynolds, 2018, Annals of Mathematics.

Arithmetic Fuchsian Groups of Genus Zero

A. Reid, C. Maclachlan, D. Long, 2006 .

Eigenvalues of hyperbolic elements in Kleinian groups

A. Reid, D. Long, 2010 .

The geometry and topology of arithmetic hyperbolic 3-manifolds

A. Reid, 2007 .

Generalized Dedekind sums

A. Reid, D. Long, 2004, math/0409367.

On asymmetric hyperbolic manifolds

A. Reid, D. Long, 2005, Mathematical Proceedings of the Cambridge Philosophical Society.

The arithmetic hyperbolic 3-manifold of smallest volume

T. Chinburg, A. Reid, E. Friedman, 2001 .

Invariant Trace‐Fields and Quaternion Algebras of Polyhedral Groups

A. Reid, C. Maclachlan, 1998 .

Kleinian Groups and Hyperbolic Manifolds

A. Reid, C. Maclachlan, 2003 .

Constructing hyperbolic manifolds which bound geometrically

A. Reid, D. Long, 2001 .

Surface subgroups of Coxeter and Artin groups

A. Reid, D. Long, C. Gordon, 2004 .

Hyperbolic manifolds with non-vanishing higher order Stiefel-Whitney classes

A. Reid, Connor Sell, 2023 .

Determining hyperbolic 3-manifolds by their surfaces

A. Reid, D. McReynolds, 2015, Proceedings of the American Mathematical Society.

The genus spectrum of a hyperbolic 3-manifold

A. Reid, D. McReynolds, 2009, 0901.4086.

Constructing thin groups

A. Reid, D. Long, 2012 .

Restricting the topology of 1–cusped arithmetic 3–manifolds

M. Baker, A. Reid, 2013 .

Arithmetic hyperbolic surface bundles

B. Bowditch, A. Reid, C. Maclachlan, 1995 .

A pr 1 99 5 Arithmeticity , Discreteness and Volume

F. Gehring, G. Martin, A. Reid, 2008 .

On Subgroup Separability in Hyperbolic Coxeter Groups

A. Reid, D. Long, 2001 .

The Fundamental Group of the Double of the Figure‐Eight Knot Exterior is GFERF

A. Reid, D. Long, 2001 .

Surface subgroups of Mapping Class groups

A. Reid, 2005 .

On Subgroup Separability in Hyperbolic

A. Reid, D. Long, 2001 .