Jessica S. Purcell

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All published works

Action	Title	Year	Authors
+ PDF Chat	Alternating links on nonorientable surfaces and Klein-bottly alternating links	2024	Jessica S. Purcell Lecheng Su
+ PDF Chat	Triangulations of the 3-sphere with knotted edge	2024	Dionne Ibarra Daniel V. Mathews Jessica S. Purcell Jonathan Spreer
+ PDF Chat	Volume bounds for hyperbolic rod complements in the 3-torus	2024	Norman Do Connie On Yu Hui Jessica S. Purcell
+ PDF Chat	The triangulation complexity of fibred 3–manifolds	2024	Marc Lackenby Jessica S. Purcell
+ PDF Chat	Excluding cosmetic surgeries on hyperbolic 3-manifolds	2024	David Futer Jessica S. Purcell Saul Schleimer
+ PDF Chat	On the geometry of rod packings in the 3‐torus	2024	Connie On Yu Hui Jessica S. Purcell
+ PDF Chat	The triangulation complexity of elliptic and sol 3-manifolds	2024	Marc Lackenby Jessica S. Purcell
+	Alternating links on surfaces and&nbsp;volume bounds	2024	Efstratia Kalfagianni Jessica S. Purcell
+ PDF Chat	Arithmetic modular links	2023	Tali Pinsky Jessica S. Purcell José Andrés Rodríguez‐Migueles
+	Low-dimensional Topology	2023	Stefan Friedl Yoav Moriah Jessica S. Purcell Saul Schleimer
+ PDF Chat	A-polynomials of fillings of the Whitehead sister	2023	Joshua Howie Daniel V. Mathews Jessica S. Purcell E. Thompson
+ PDF Chat	Constructing knots with specified geometric limits	2023	Urs Fuchs Jessica S. Purcell John M. Stewart
+ PDF Chat	Geometric triangulations and highly twisted links	2023	Sophie L. Ham Jessica S. Purcell
+	Hyperbolic and satellite Lorenz links obtained by twisting	2023	Thiago de Paiva Jessica S. Purcell
+	Arithmetic modular links	2023	José Andrés Rodríguez Migueles Tali Pinsky Jessica S. Purcell
+	Geometry of fully augmented links in doubled 3-manifolds	2023	Jessica S. Purcell C.N. Reid John M. Stewart
+	Polynomial bounds for surfaces in alternating link complements in 3-manifolds	2023	Jessica S. Purcell Anastasiia Tsvietkova
+	Satellites and Lorenz knots	2022	Thiago de Paiva Jessica S. Purcell
+ PDF Chat	Effective drilling and filling of tame hyperbolic 3-manifolds	2022	David Futer Jessica S. Purcell Saul Schleimer
+ PDF Chat	Right-angled polyhedra and alternating links	2022	Abhijit Champanerkar Ilya Kofman Jessica S. Purcell
+ PDF Chat	Effective bilipschitz bounds on drilling and filling	2022	David Futer Jessica S. Purcell Saul Schleimer
+	Constructing knots with specified geometric limits	2022	Urs Fuchs Jessica S. Purcell John M. Stewart
+	Standard position for surfaces in link complements in arbitrary 3-manifolds	2022	Jessica S. Purcell Anastasiia Tsvietkova
+	Large volume fibred knots of fixed genus	2022	David Futer Jessica S. Purcell Saul Schleimer
+	A symplectic basis for 3-manifold triangulations	2022	Daniel V. Mathews Jessica S. Purcell
+	The triangulation complexity of elliptic and sol 3-manifolds	2022	Marc Lackenby Jessica S. Purcell
+	On the geometry of rod packings in the 3-torus	2022	Connie On Yu Hui Jessica S. Purcell
+	Effective drilling and filling of tame hyperbolic 3-manifolds	2021	David Futer Jessica S. Purcell Saul Schleimer
+	Satellites and Lorenz knots	2021	Thiago de Paiva Jessica S. Purcell
+	A-Polynomials of fillings of the Whitehead sister	2021	Joshua Howie Daniel V. Mathews Jessica S. Purcell E. Thompson
+ PDF Chat	Geometric structures on manifolds	2020	Jessica S. Purcell
+	Hyperbolic Knot Theory	2020	Jessica S. Purcell
+	Twist knots and augmented links	2020	Jessica S. Purcell
+	A brief introduction to hyperbolic knots	2020	Jessica S. Purcell
+	Calculating in hyperbolic space	2020	Jessica S. Purcell
+	Two-bridge knots and links	2020	Jessica S. Purcell
+	Decomposition of the figure-8 knot	2020	Jessica S. Purcell
+	Hyperbolic Knot Theory	2020	Jessica S. Purcell
+	Discrete groups and the thick-thin decomposition	2020	Jessica S. Purcell
+	Algebraic sets and the 𝐴-polynomial	2020	Jessica S. Purcell
+	Hyperbolic structures and triangulations	2020	Jessica S. Purcell
+	Alternating knots and links	2020	Jessica S. Purcell
+	Ford domains and canonical polyhedra	2020	Jessica S. Purcell
+	Essential surfaces	2020	Jessica S. Purcell
+ PDF Chat	State graphs and fibered state surfaces	2020	Darlan Girão Jessica S. Purcell
+	Alternating links on surfaces and volume bounds	2020	Efstratia Kalfagianni Jessica S. Purcell
+	Hyperbolic Knot Theory	2020	Jessica S. Purcell
+	A-polynomials, Ptolemy equations and Dehn filling	2020	Joshua Howie Daniel V. Mathews Jessica S. Purcell
+	Geometric triangulations and highly twisted links	2020	Sophie L. Ham Jessica S. Purcell
+	Alternating links on surfaces and volume bounds	2020	Efstratia Kalfagianni Jessica S. Purcell
+ PDF Chat	Treewidth, crushing and hyperbolic volume	2019	Clément Maria Jessica S. Purcell
+	Effective bilipschitz bounds on drilling and filling.	2019	David Futer Jessica S. Purcell Saul Schleimer
+	Geometry of alternating links on surfaces	2019	Joshua Howie Jessica S. Purcell
+	On the tree-width of knot diagrams	2019	Saul Schleimer Arnaud de Mesmay Jessica S. Purcell Eric Sedgwick
+ PDF Chat	A Survey of Hyperbolic Knot Theory	2019	David Futer Efstratia Kalfagianni Jessica S. Purcell
+	On the tree-width of knot diagrams	2019	Arnaud de Mesmay Jessica S. Purcell Saul Schleimer Eric Sedgwick
+	The triangulation complexity of fibred 3-manifolds	2019	Marc Lackenby Jessica S. Purcell
+	Right-angled polyhedra and alternating links	2019	Abhijit Champanerkar Ilya Kofman Jessica S. Purcell
+ PDF Chat	Geometry of biperiodic alternating links	2018	Abhijit Champanerkar Ilya Kofman Jessica S. Purcell
+	On the tree-width of knot diagrams	2018	Arnaud de Mesmay Jessica S. Purcell Saul Schleimer Eric Sedgwick
+	Effective distance between nested Margulis tubes	2018	David Futer Jessica S. Purcell Saul Schleimer
+ PDF Chat	Cusp shape and tunnel number	2018	Vinh Xuan Dang Jessica S. Purcell
+	Diagram uniqueness of even plats	2018	Yoav Moriah Jessica S. Purcell
+ PDF Chat	Spacious knots	2018	Autumn E. Kent Jessica S. Purcell
+	On the tree-width of knot diagrams	2018	Arnaud de Mesmay Jessica S. Purcell Saul Schleimer Eric Sedgwick
+	Geometry of alternating links on surfaces	2017	Joshua Howie Jessica S. Purcell
+ PDF Chat	Diagram uniqueness for highly twisted plats	2017	Yoav Moriah Jessica S. Purcell
+ PDF Chat	Geometry of planar surfaces and exceptional fillings	2017	Neil Hoffman Jessica S. Purcell
+	Cusp shape and tunnel number	2017	Vinh Xuan Dang Jessica S. Purcell
+	Geometry of alternating links on surfaces	2017	Joshua Howie Jessica S. Purcell
+ PDF Chat	Essential twisted surfaces in alternating link complements	2016	Marc Lackenby Jessica S. Purcell
+ PDF Chat	Volume bounds for weaving knots	2016	Abhijit Champanerkar Ilya Kofman Jessica S. Purcell
+ PDF Chat	Geometrically and diagrammatically maximal knots	2016	Abhijit Champanerkar Ilya Kofman Jessica S. Purcell
+ PDF Chat	Cusp volumes of alternating knots	2016	Marc Lackenby Jessica S. Purcell
+ PDF Chat	Bitwist manifolds and two-bridge knots	2016	James Cannon William Floyd LeeR Lambert Walter Parry Jessica S. Purcell
+	Independence of volume and genus 𝑔 bridge numbers	2016	Jessica S. Purcell Alexander Zupan
+	Diagram uniqueness for highly twisted knots	2016	Yoav Moriah Jessica S. Purcell
+ PDF Chat	Volumes of Montesinos links	2016	Kathleen Finlinson Jessica S. Purcell
+	Diagram uniqueness for highly twisted knots	2016	Yoav Moriah Jessica S. Purcell
+	Spacious knots	2016	Autumn E. Kent Jessica S. Purcell
+	Density spectra for knots	2015	Abhijit Champanerkar Ilya Kofman Jessica S. Purcell
+	Independence of volume and genus $g$ bridge numbers	2015	Jessica S. Purcell Alexander Zupan
+ PDF Chat	Volume and geometry of homogeneously adequate knots	2015	Paige Bartholomew Shane McQuarrie Jessica S. Purcell Kai Weser
+	Density spectra for knots	2015	Abhijit Champanerkar Ilya Kofman Jessica S. Purcell
+ PDF Chat	Hyperbolic semi-adequate links	2015	David Futer Efstratia Kalfagianni Jessica S. Purcell
+	Independence of volume and genus $g$ bridge numbers	2015	Jessica S. Purcell Alexander Zupan
+	Density spectra for knots	2015	Abhijit Champanerkar Ilya Kofman Jessica S. Purcell
+ PDF Chat	Quasifuchsian state surfaces	2014	David Futer Efstratia Kalfagianni Jessica S. Purcell
+ PDF Chat	Geodesics and Compression Bodies	2014	Marc Lackenby Jessica S. Purcell
+ PDF Chat	Geodesic systems of tunnels in hyperbolic 3–manifolds	2014	Stephan D. Burton Jessica S. Purcell
+	Volume and geometry of homogeneously adequate knots	2014	Paige Bartholomew Shane McQuarrie Jessica S. Purcell Kai Weser
+ PDF Chat	Jones polynomials, volume and essential knot surfaces: a survey	2014	David Futer Efstratia Kalfagianni Jessica S. Purcell
+ PDF Chat	Dehn filling and the geometry of unknotting tunnels	2013	Daryl Cooper David Futer Jessica S. Purcell
+	Geodesics and compression bodies	2013	Marc Lackenby Jessica S. Purcell
+ PDF Chat	Explicit Dehn filling and Heegaard splittings	2013	David Futer Jessica S. Purcell
+	Cusp volumes of alternating knots	2013	Jessica S. Purcell
+	Geodesics and compression bodies	2013	Marc Lackenby Jessica S. Purcell
+ PDF Chat	Guts of Surfaces and the Colored Jones Polynomial	2012	David Futer Efstratia Kalfagianni Jessica S. Purcell
+	Discussion and Questions	2012	David Futer Efstratia Kalfagianni Jessica S. Purcell
+	I-Bundles and Essential Product Disks	2012	David Futer Efstratia Kalfagianni Jessica S. Purcell
+	Decomposition into 3-Balls	2012	David Futer Efstratia Kalfagianni Jessica S. Purcell
+	Applications	2012	David Futer Efstratia Kalfagianni Jessica S. Purcell
+	Ideal Polyhedra	2012	David Futer Efstratia Kalfagianni Jessica S. Purcell
+	Introduction	2012	David Futer Efstratia Kalfagianni Jessica S. Purcell
+	Montesinos Links	2012	David Futer Efstratia Kalfagianni Jessica S. Purcell
+	Guts and Fibers	2012	David Futer Efstratia Kalfagianni Jessica S. Purcell
+	Diagrams Without Non-prime Arcs	2012	David Futer Efstratia Kalfagianni Jessica S. Purcell
+	VOLUMES OF CHAIN LINKS	2012	J. Kaiser Jessica S. Purcell C. R. Rollins
+	Jones polynomials, volume, and essential knot surfaces: a survey	2011	David Futer Efstratia Kalfagianni Jessica S. Purcell
+	Volumes of chain links	2011	J. Kaiser Jessica S. Purcell C. R. Rollins
+ PDF Chat	Volume bounds for generalized twisted torus links	2011	Abhijit Champanerkar David Futer Ilya Kofman Walter D. Neumann Jessica S. Purcell
+ PDF Chat	An introduction to fully augmented links	2011	Jessica S. Purcell
+	Guts of surfaces and the colored Jones polynomial	2011	David Futer Efstratia Kalfagianni Jessica S. Purcell
+	Jones polynomials, volume, and essential knot surfaces: a survey	2011	David Futer Efstratia Kalfagianni Jessica S. Purcell
+	Volumes of chain links	2011	J. Kaiser Jessica S. Purcell C. R. Rollins
+ PDF Chat	Slopes and colored Jones polynomials of adequate knots	2010	David Futer Efstratia Kalfagianni Jessica S. Purcell
+ PDF Chat	Cusp Areas of Farey Manifolds and Applications to Knot Theory	2010	David Futer Efstratia Kalfagianni Jessica S. Purcell
+ PDF Chat	The length of unknotting tunnels	2010	Daryl Cooper Marc Lackenby Jessica S. Purcell
+ PDF Chat	Geometric limits of knot complements	2010	Jessica S. Purcell Juan Souto
+ PDF Chat	On multiply twisted knots that are Seifert fibered or toroidal	2010	Jessica S. Purcell
+ PDF Chat	Hyperbolic geometry of multiply twisted knots	2010	Jessica S. Purcell
+ PDF Chat	On diagrammatic bounds of knot volumes and spectral invariants	2009	David Futer Efstratia Kalfagianni Jessica S. Purcell
+ PDF Chat	Symmetric links and {C}onway sums: volume and {J}ones polynomial	2009	David Futer Efstratia Kalfagianni Jessica S. Purcell
+	On multiply twisted knots that are Seifert fibered or toroidal	2009	Jessica S. Purcell
+ PDF Chat	Cusp shapes under cone deformation	2008	Jessica S. Purcell
+ PDF Chat	Slope lengths and generalized augmented links	2008	Jessica S. Purcell
+ PDF Chat	Links with no exceptional surgeries	2007	David Futer Jessica S. Purcell
+ PDF Chat	Volumes of highly twisted knots and links	2007	Jessica S. Purcell
+	Hyperbolic geometry of multiply twisted knots	2007	Jessica S. Purcell
+	Slope lengths and generalized augmented links	2007	Jessica S. Purcell
+	Dehn filling, volume, and the Jones polynomial	2006	David Futer Efstratia Kalfagianni Jessica S. Purcell
+	Dehn filling, volume, and the Jones polynomial	2006	David Futer Efstratia Kalfagianni Jessica S. Purcell
+	Cusp shapes of hyperbolic link complements and Dehn filling	2004	Jessica S. Purcell
+	Cusp shapes under cone deformation	2004	Jessica S. Purcell

Common Coauthors

Coauthor	Papers Together
David Futer	34
Efstratia Kalfagianni	26
Saul Schleimer	12
Marc Lackenby	10
Abhijit Champanerkar	9
Ilya Kofman	9
Joshua Howie	6
Yoav Moriah	5
Daniel V. Mathews	5
Eric Sedgwick	4
Arnaud de Mesmay	4
C. R. Rollins	3
Thiago de Paiva	3
J. Kaiser	3
Connie On Yu Hui	3
John M. Stewart	3
Alexander Zupan	3
E. Thompson	2
Autumn E. Kent	2
Paige Bartholomew	2
Shane McQuarrie	2
Tali Pinsky	2
Urs Fuchs	2
Kai Weser	2
Sophie L. Ham	2
Vinh Xuan Dang	2
Daryl Cooper	2
Anastasiia Tsvietkova	2
C.N. Reid	1
Juan Souto	1
José Andrés Rodríguez Migueles	1
José Andrés Rodríguez‐Migueles	1
Darlan Girão	1
Kathleen Finlinson	1
Jonathan Spreer	1
LeeR Lambert	1
Clément Maria	1
Norman Do	1
William Floyd	1
Walter Parry	1
Neil Hoffman	1
Lecheng Su	1
Walter D. Neumann	1
Dionne Ibarra	1
Stefan Friedl	1
James Cannon	1
Stephan D. Burton	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	The volume of hyperbolic alternating link complements	2004	Marc Lackenby	34
+	The geometry and topology of three-manifolds	1979	William P. Thurston	32
+ PDF Chat	Word hyperbolic Dehn surgery	2000	Marc Lackenby	28
+ PDF Chat	Dehn filling, volume, and the Jones polynomial	2008	David Futer Efstratia Kalfagianni J. Purcel	27
+	Lower bounds on volumes of hyperbolic Haken 3-manifolds	2007	Ian Agol Peter A. Storm William P. Thurston	22
+	Closed incompressible surfaces in alternating knot and link complements	1984	William W. Menasco	20
+ PDF Chat	Three dimensional manifolds, Kleinian groups and hyperbolic geometry	1982	William P. Thurston	19
+	The Jones polynomial and graphs on surfaces	2007	Oliver T. Dasbach David Futer Efstratia Kalfagianni Xiao-Song Lin Neal W. Stoltzfus	18
+ PDF Chat	ESSENTIAL STATE SURFACES FOR KNOTS AND LINKS	2011	Makoto Ozawa	18
+ PDF Chat	Links with no exceptional surgeries	2007	David Futer Jessica S. Purcell	18
+ PDF Chat	Universal bounds for hyperbolic Dehn surgery	2005	Craig D. Hodgson Steven P. Kerckhoff	17
+ PDF Chat	Bounds on exceptional Dehn filling	2000	Ian Agol	16
+ PDF Chat	Guts of Surfaces and the Colored Jones Polynomial	2012	David Futer Efstratia Kalfagianni Jessica S. Purcell	14
+ PDF Chat	Symmetric links and {C}onway sums: volume and {J}ones polynomial	2009	David Futer Efstratia Kalfagianni Jessica S. Purcell	14
+ PDF Chat	Volumes of highly twisted knots and links	2007	Jessica S. Purcell	13
+ PDF Chat	Bounds on exceptional Dehn filling II	2010	Ian Agol	13
+ PDF Chat	Thrice-punctured spheres in hyperbolic $3$-manifolds	1985	Colin Adams	13
+ PDF Chat	Cusp Areas of Farey Manifolds and Applications to Knot Theory	2010	David Futer Efstratia Kalfagianni Jessica S. Purcell	12
+ PDF Chat	Cusp shapes under cone deformation	2008	Jessica S. Purcell	12
+ PDF Chat	On canonical triangulations of once-punctured torus bundles and two-bridge link complements	2006	François Guéritaud	11
+ PDF Chat	Three dimensional manifolds, Kleinian groups and hyperbolic geometry	1983	William P. Thurston	11
+ PDF Chat	On the head and the tail of the colored Jones polynomial	2006	Oliver T. Dasbach Xiao-Song Lin	10
+	Volumes of hyperbolic manifolds with geodesic boundary	1994	Yosuke Miyamoto	10
+ PDF Chat	THE NEXT SIMPLEST HYPERBOLIC KNOTS	2004	Abhijit Champanerkar Ilya Kofman Eric Patterson	10
+ PDF Chat	A volumish theorem for the Jones polynomial of alternating knots	2007	Oliver T. Dasbach Xiao-Song Lin	10
+	Strong rigidity ofQ-rank 1 lattices	1973	Gopal Prasad	10
+	Some links with non-trivial polynomials and their crossing-numbers	1988	W. B. R. Lickorish Morwen Thistlethwaite	10
+	Waist size for cusps in hyperbolic 3-manifolds	2002	Colin Adams	10
+ PDF Chat	Hyperbolic semi-adequate links	2015	David Futer Efstratia Kalfagianni Jessica S. Purcell	9
+ PDF Chat	On the density of geometrically finite Kleinian groups	2004	Jeffrey Brock Kenneth Bromberg	9
+	Knots and Links	1976	Dale Rolfsen	9
+ PDF Chat	Rigidity of hyperbolic cone-manifolds and hyperbolic Dehn surgery	1998	Craig D. Hodgson Steven P. Kerckhoff	9
+	An Introduction to Knot Theory	1997	W. B. R. Lickorish	9
+ PDF Chat	Noncompact Fuchsian and quasi-Fuchsian surfaces in hyperbolic 3–manifolds	2007	Colin Adams	8
+ PDF Chat	Hyperbolic geometry of multiply twisted knots	2010	Jessica S. Purcell	8
+ PDF Chat	Slope lengths and generalized augmented links	2008	Jessica S. Purcell	8
+ PDF Chat	Knots are determined by their complements	1989	C. McA. Gordon John Luecke	8
+ PDF Chat	Euclidean decompositions of noncompact hyperbolic manifolds	1988	D. B. A. Epstein Robert Penner	8
+ PDF Chat	Cusp geometry of fibered 3-manifolds	2014	David Futer Saul Schleimer	8
+	KNOTS WITH BOUNDED CUSP VOLUME YET LARGE TUNNEL NUMBER	1999	Mario Eudave-Muñoz John Luecke	8
+ PDF Chat	Examples of canonical decompositions of hyperbolic link complements	1995	Makoto Sakuma Jeffrey R. Weeks	8
+	Lower bounds on volumes of hyperbolic Haken 3-manifolds	1999	Ian Agol Nathan M. Dunfield Peter A. Storm William P. Thurston	8
+ PDF Chat	Geometrically and diagrammatically maximal knots	2016	Abhijit Champanerkar Ilya Kofman Jessica S. Purcell	8
+	On the Kauffman polynomial of an adequate link	1988	Morwen Thistlethwaite	8
+ PDF Chat	Distance and bridge position	2005	David Bachman Saul Schleimer	7
+ PDF Chat	On diagrammatic bounds of knot volumes and spectral invariants	2009	David Futer Efstratia Kalfagianni Jessica S. Purcell	7
+ PDF Chat	Homotopy Equivalences of 3-Manifolds with Boundaries	1979	Klaus Johannson	7
+	A Representation of Orientable Combinatorial 3-Manifolds	1962	W. B. R. Lickorish	7
+	Cusp size bounds from singular surfaces in hyperbolic 3-manifolds	2005	Colin Adams A. Colestock Jim Fowler W. D. Gillam E. Katerman	7
+ PDF Chat	A Lower Bound for the Volume of Hyperbolic 3-Manifolds	1987	Robert Meyerhoff	7