D. D. Long

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All published works

Action	Title	Year	Authors
+	Strongly dense representations of surface groups	2025	D. D. Long Alan W. Reid
+ PDF Chat	Zariski dense surface groups in SL(2k + 1, ℤ)	2024	D. D. Long Morwen Thistlethwaite
+ PDF Chat	Most Hitchin Representations Are Strongly Dense	2024	D. D. Long Alan W. Reid Michael W. Wolff
+ PDF Chat	Constructing thin subgroups of SL(n + 1, ℝ) via bending	2020	Samuel A. Ballas D. D. Long
+	Virtually spinning hyperbolic manifolds	2019	D. D. Long Alan W. Reid
+	WHAT IS...a Thin Group?	2019	Alex Kontorovich D. D. Long Alexander Lubotzky Alan W. Reid
+	What Is... A Thin Group	2018	Alex Kontorovich D. D. Long Alexander Lubotzky Alan W. Reid
+	The dimension of the Hitchin component for triangle groups	2018	D. D. Long Morwen Thistlethwaite
+ PDF Chat	Deforming convex projective manifolds	2018	Daryl Cooper D. D. Long Stephan Tillmann
+	Zariski Dense Surface Subgroups in SL(4, )	2016	D. D. Long Morwen Thistlethwaite
+	Lenstra–Hurwitz cliques and the class number one problem	2016	D. D. Long Morwen Thistlethwaite
+ PDF Chat	Thin surface subgroups in cocompact lattices in $\operatorname{SL}(3,\mathbf{R})$	2016	D. D. Long Alan W. Reid
+ PDF Chat	Constructing thin subgroups commensurable with the figure-eight knot group	2015	Samuel A. Ballas D. D. Long
+ PDF Chat	A generalization of the Epstein-Penner construction to projective manifolds	2015	D. Cooper D. D. Long
+	On convex projective manifolds and cusps	2015	D. Cooper D. D. Long Stephan Tillmann
+ PDF Chat	Constructing Thin Subgroups in SL(4, R)	2013	D. D. Long Alan W. Reid
+	A generalization of the Epstein-Penner construction to projective manifolds	2013	Daryl Cooper D. D. Long
+	Small Subgroups of	2011	D. D. Long Alan W. Reid
+	On Convex Projective Manifolds and Cusps	2011	Daryl Cooper D. D. Long Stephan Tillmann
+ PDF Chat	Grothendieck’s problem for 3-manifold groups	2011	D. D. Long Alan W. Reid
+ PDF Chat	Commensurators of finitely generated nonfree Kleinian groups	2011	Christopher J. Leininger D. D. Long Alan W. Reid
+ PDF Chat	Zariski dense surface subgroups in SL(3<i>,Z</i>)	2011	D. D. Long Alan W. Reid Morwen Thistlethwaite
+	On Convex Projective Manifolds and Cusps	2011	Daryl Cooper D. D. Long Stephan Tillmann
+ PDF Chat	Eigenvalues of hyperbolic elements in Kleinian groups	2010	D. D. Long Alan W. Reid
+ PDF Chat	Constructing non-congruence subgroups of flexible hyperbolic 3-manifold groups	2009	D. Cooper D. D. Long Morwen Thistlethwaite
+ PDF Chat	Geodesics and commensurability classes of arithmetic hyperbolic 3-manifolds	2008	Ted Chinburg Emily Hamilton D. D. Long Alan W. Reid
+ PDF Chat	LERF and the Lubotzky–Sarnak Conjecture	2008	Marc Lackenby D. D. Long Alan W. Reid
+ PDF Chat	Covering Spaces of Arithmetic 3-Orbifolds	2008	Marc Lackenby D. D. Long Alan W. Reid
+ PDF Chat	Finding fibre faces in finite covers	2008	D. D. Long Alan W. Reid
+ PDF Chat	Cusps of Minimal Non-compact Arithmetic Hyperbolic 3-orbifolds	2008	Ted Chinburg D. D. Long Alan W. Reid
+	LERF and the Lubotzky-Sarnak conjecture	2008	Marc Lackenby D. D. Long Alan W. Reid
+ PDF Chat	On the virtual Betti numbers of arithmetic hyperbolic 3–manifolds	2007	Daryl Cooper D. D. Long Alan W. Reid
+ PDF Chat	Flexing closed hyperbolic manifolds	2007	Daryl Cooper D. D. Long Morwen Thistlethwaite
+ PDF Chat	Heegaard genus and property τ for hyperbolic 3-manifolds	2007	D. D. Long Alexander Lubotzky Alan W. Reid
+	Subgroup separability and virtual retractions of groups	2007	D. D. Long Alan W. Reid
+	Heegaard genus and Property 'tau' for hyperbolic 3-manifolds	2007	D. D. Long Alexander Lubotzky Alan W. Reid
+ PDF Chat	Arithmetic Fuchsian Groups of Genus Zero	2006	D. D. Long Colin M. MacLachlan Alan W. Reid
+	Computing Varieties of Representations of Hyperbolic 3-Manifolds into SL(4, ℝ)	2006	Daryl Cooper D. D. Long Morwen Thistlethwaite
+	Covering spaces of arithmetic 3-orbifolds	2006	Marc Lackenby D. D. Long Alan W. Reid
+ PDF Chat	On asymmetric hyperbolic manifolds	2005	D. D. Long Alan W. Reid
+ PDF Chat	Generalized Dedekind sums	2004	D. D. Long Alan W. Reid
+	Surface subgroups of Coxeter and Artin groups	2004	C. McA. Gordon D. D. Long Alan W. Reid
+ PDF Chat	Integral points on character varieties	2003	D. D. Long Alan W. Reid
+ PDF Chat	All flat manifolds are cusps of hyperbolic orbifolds	2002	D. D. Long Alan W. Reid
+	Pseudomodular surfaces	2002	D. D. Long Alan W. Reid
+ PDF Chat	THE FUNDAMENTAL GROUP OF THE DOUBLE OF THE FIGURE-EIGHT KNOT EXTERIOR IS GFERF	2001	D. D. Long Alan W. Reid
+ PDF Chat	The Bianchi Groups Are Separable On Geometrically Finite Subgroups	2001	Ian Agol D. D. Long A. W. Reid
+ PDF Chat	Some surface subgroups survive surgery	2001	Daryl Cooper D. D. Long
+ PDF Chat	Constructing hyperbolic manifolds which bound geometrically	2001	D. D. Long Alan W. Reid
+	On Subgroup Separability in Hyperbolic	2001	D. D. Long Alan W. Reid
+	None	2001	D. D. Long A. W. Reid
+ PDF Chat	On the geometric boundaries of hyperbolic 4–manifolds	2000	D. D. Long Alan W. Reid
+	Free actions of finite groups on rational homology 3-spheres	2000	D. Cooper D. D. Long
+ PDF Chat	Virtually Haken Dehn-filling	1999	D. Cooper D. D. Long
+ PDF Chat	Commensurability and the character variety	1999	D. D. Long A. W. Reid
+ PDF Chat	Free Products with Amalgamation and <i>p</i>-Adic Lie Groups	1998	D. D. Long Alan W. Reid
+	On the Burau representation modulo a small prime	1998	Daryl Cooper D. D. Long
+ PDF Chat	On the Burau representation modulo a small prime	1998	Daryl Cooper D. D. Long
+ PDF Chat	On Fuchsian Groups with the Same Set of Axes	1998	D. D. Long Alan W. Reid
+ PDF Chat	Infinite Coxeter groups are virtually indicarle	1998	D. Cooper D. D. Long Alan W. Reid
+	Representation theory and the A-polynomial of a knot	1998	D. Cooper D. D. Long
+ PDF Chat	Foliations of some 3-manifolds which fiber over the circle	1998	D. Cooper D. D. Long
+ PDF Chat	Simple quotients of hyperbolic 3-manifold groups	1998	D. D. Long Alan W. Reid
+	The Bianchi groups are subgroup separable on geometrically finite subgroups	1998	Ian Agol D. D. Long Alan W. Reid
+	Trimming	1998	Daryl Cooper D. D. Long
+	On the Burau representation modulo a small prime	1998	Daryl Cooper D. D. Long
+	A presentation for the image of Burau(4) ⊗ Z2	1997	D. Cooper D. D. Long
+ PDF Chat	The <i>A</i> -Polynomial has Ones in the Corners	1997	D. Cooper D. D. Long
+	Finite foliations and similarity interval exchange maps	1997	D. Cooper D. D. Long Alan W. Reid
+ PDF Chat	Essential closed surfaces in bounded 3-manifolds	1997	D. Cooper D. D. Long Alan W. Reid
+	A Kleinian group with contractible quotient not simply connected at infinity	1996	Daryl Cooper D. D. Long
+	REMARKS ON THE A-POLYNOMIAL OF A KNOT	1996	D. Cooper D. D. Long
+	Splitting Groups of Signature (1;n)	1996	D. D. Long Colin M. MacLachlan Alan W. Reid
+	Bundles and finite foliations	1994	D. Cooper D. D. Long Alan W. Reid
+ PDF Chat	Plane curves associated to character varieties of 3-manifolds	1994	D. Cooper Marc Culler Henri Gillet D. D. Long Peter B. Shalen
+ PDF Chat	Closed incompressible surfaces in 2-generator hyperbolic 3-manifolds with a single cusp	1993	D. D. Long Alan W. Reid
+ PDF Chat	Roots of unity and the character variety of a knot complement	1993	D. Cooper D. D. Long
+	The Burau representation is not faithful for n ≥ 6	1993	D. D. Long M. Paton
+	Derivative Varieties and the Pure Braid Group	1993	D. Cooper D. D. Long
+	An Undetected Slope in a Knot Manifold	1992	Darryl Cooper D. D. Long
+ PDF Chat	Casson's invariant and surgery on knots	1992	Charles Frohman D. D. Long
+	Representing Knot Groups Into SL(2, C )	1992	D. Cooper D. D. Long
+ PDF Chat	Representing knot groups into 𝑆𝐿(2,𝐶)	1992	D. Cooper D. D. Long
+	Subgroup separability and 3-manifold groups	1991	D. D. Long Graham A. Niblo
+ PDF Chat	On pseudo-Anosov maps which extend over two handlebodies	1990	D. D. Long
+	On the linear representation of braid groups, II	1989	D. D. Long
+	On the linear representation of braid groups	1989	D. D. Long
+ PDF Chat	On the Linear Representation of Braid Groups	1989	D. D. Long
+ PDF Chat	Engulfing and Subgroup Separability for Hyperbolic Groups	1988	D. D. Long
+	Bounding laminations	1988	D. D. Long
+	VIRTUAL BETTI NUMBERS OF SOME HYPERBOLIC 3-MANIFOLDS	1988	Shozo Kojima D. D. Long
+ PDF Chat	Engulfing and subgroup separability for hyperbolic groups	1988	D. D. Long
+	On the Mal'cev quotients of certain hyperbolic link groups	1987	Stephen P. Humphries D. D. Long
+ PDF Chat	Immersions and Embeddings of Totally Geodesic Surfaces	1987	D. D. Long
+ PDF Chat	Discs in compression bodies	1986	D. D. Long
+	A note on the normal subgroups of mapping class groups	1986	D. D. Long
+	Hyperbolic 3-manifolds and surface automorphisms	1986	D. D. Long H. R. Morton
+	Algorithmic compression of surface automorphisms	1985	Andrew Casson D. D. Long
+	Constructing pseudo-Anosov maps	1985	D. D. Long
+	Strongly plus-amphicheiral knots are algebraically slice	1984	D. D. Long
+	PLANAR KERNELS IN SURFACE GROUPS	1984	D. D. Long

Common Coauthors

Coauthor	Papers Together
Alan W. Reid	43
D. Cooper	19
Daryl Cooper	13
Morwen Thistlethwaite	8
A. W. Reid	4
Alexander Lubotzky	4
Stephan Tillmann	4
Marc Lackenby	4
Ian Agol	2
Alex Kontorovich	2
Samuel A. Ballas	2
Colin M. MacLachlan	2
Ted Chinburg	2
Shozo Kojima	1
Charles Frohman	1
C. McA. Gordon	1
Darryl Cooper	1
Henri Gillet	1
Stephen P. Humphries	1
Peter B. Shalen	1
Andrew Casson	1
Marc Culler	1
H. R. Morton	1
Christopher J. Leininger	1
Michael W. Wolff	1
M. Paton	1
Graham A. Niblo	1
Emily Hamilton	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Geometry and Topology of Manifolds	2007	William P. Thurston	21
+	Varieties of Group Representations and Splittings of 3-Manifolds	1983	Marc Culler Peter B. Shalen	16
+ PDF Chat	Immersions and Embeddings of Totally Geodesic Surfaces	1987	D. D. Long	14
+	Subgroups of Surface Groups are Almost Geometric	1978	Peter Scott	14
+ PDF Chat	Groups of integral representation type	1980	Hyman Bass	13
+	Computing Varieties of Representations of Hyperbolic 3-Manifolds into SL(4, ℝ)	2006	Daryl Cooper D. D. Long Morwen Thistlethwaite	9
+ PDF Chat	The Bianchi Groups Are Separable On Geometrically Finite Subgroups	2001	Ian Agol D. D. Long A. W. Reid	9
+ PDF Chat	Arithmetic of Hyperbolic Manifolds	1992	Colin M. MacLachlan Alan W. Reid	9
+	Dehn Surgery on Knots	1987	Marc Culler C. McA. Gordon John Luecke Peter B. Shalen	9
+ PDF Chat	Essential closed surfaces in bounded 3-manifolds	1997	D. Cooper D. D. Long Alan W. Reid	7
+	Discrete Subgroups of Semisimple Lie Groups	1991	Gregori Aleksandrovitch Margulis	7
+ PDF Chat	Zariski dense surface subgroups in SL(3<i>,Z</i>)	2011	D. D. Long Alan W. Reid Morwen Thistlethwaite	7
+ PDF Chat	The deformation spaces of convex [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /]-structures on 2-orbifolds	2005	Suhyoung Choi William M. Goldman	7
+ PDF Chat	Simple quotients of hyperbolic 3-manifold groups	1998	D. D. Long Alan W. Reid	7
+ PDF Chat	Plane curves associated to character varieties of 3-manifolds	1994	D. Cooper Marc Culler Henri Gillet D. D. Long Peter B. Shalen	7
+	Three-Dimensional Geometry and Topology	1997	William P. Thurston Silvio Levy	7
+	Compact Clifford-Klein forms of symmetric spaces	1963	Armand Borel	6
+ PDF Chat	Affine linear sieve, expanders, and sum-product	2009	Jean Bourgain Alex Gamburd Peter Sarnak	6
+ PDF Chat	Computing Arithmetic Invariants of 3-Manifolds	2000	David Coulson Oliver Goodman Craig D. Hodgson Walter D. Neumann	6
+	The Arithmetic of Hyperbolic 3-Manifolds	2003	Colin M. MacLachlan Alan W. Reid	6
+ PDF Chat	Arithmetic Subgroups of Algebraic Groups	1962	Armand Borel Harish-chandra Harish-Chandra	6
+ PDF Chat	On the boundary curves of incompressible surfaces	1982	Allen Hatcher	6
+	Braids, Links, and Mapping Class Groups	1974	Joan S. Birman	6
+ PDF Chat	Convex real projective structures on compact surfaces	1990	William M. Goldman	6
+	Strong Approximation for Zariski-dense Subgroups of Semi-Simple Algebraic Groups	1984	Boris Weisfeiler	6
+	The algebraic theory of quadratic forms	1973	T. Y. Lam	6
+ PDF Chat	Three dimensional manifolds, Kleinian groups and hyperbolic geometry	1982	William P. Thurston	6
+	Arithmetic of Hyperbolic Manifolds	1992	Walter D. Neumann Alan W. Reid	6
+	Bounded, separating, incompressible surfaces in knot manifolds	1984	Marc Culler Peter B. Shalen	6
+ PDF Chat	Anosov flows, surface groups and curves in projective space	2006	François Labourie	5
+	Subgroup separability and 3-manifold groups	1991	D. D. Long Graham A. Niblo	5
+	ON GROUPS OF UNIT ELEMENTS OF CERTAIN QUADRATIC FORMS	1972	É. B. Vinberg	5
+	Constructing pseudo-Anosov maps	1985	D. D. Long	5
+ PDF Chat	Foundations of Hyperbolic Manifolds	2006	John G. Ratcliffe	5
+	On subgroups ofGL n (F p )	1987	Madhav V. Nori	5
+ PDF Chat	Hyperbolic monodromy groups for the hypergeometric equation and Cartan involutions	2014	Elena Fuchs Chen Meiri Peter Sarnak	5
+	Convexes divisibles II	2003	Yves Benoist	5
+ PDF Chat	Algebraic number theory	1999	Kazuya Katô Nobushige Kurokawa Takeshi Saito	5
+ PDF Chat	Shrinkwrapping and the taming of hyperbolic 3-manifolds	2005	Danny Calegari David Gabai	5
+	Discrete Groups of Motions of Spaces of Constant Curvature	1993	É. B. Vinberg O. V. Shvartsman	5
+ PDF Chat	Heegaard splittings, the virtually Haken conjecture and Property (τ)	2006	Marc Lackenby	5
+	Incompressible surfaces in 2-bridge knot complements	1985	Allen Hatcher William P. Thurston	5
+	Bundles and finite foliations	1994	D. Cooper D. D. Long Alan W. Reid	5
+	Automorphisms of Surfaces after Nielsen and Thurston	1988	Andrew Casson Steven A. Bleiler	5
+ PDF Chat	Déformations de connexions localement plates	1968	Jean-Louis Koszul	4
+	A note on the normal subgroups of mapping class groups	1986	D. D. Long	4
+	Introduction to Arithmetic Groups	2015	Dave Witte Morris	4
+	Convexes divisibles III	2005	Yves Benoist	4
+ PDF Chat	A note on groups with separable finitely generated subgroups	1987	R. G. Burns A. Karrass D. Solitar	4
+ PDF Chat	The Burau representation is unitary	1984	Craig C. Squier	4