Ara Basmajian

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All published works

Action	Title	Year	Authors
+	Tubes and Steklov Eigenvalues in Negatively Curved Manifolds	2025	Ara Basmajian Jade Brisson Asma Hassannezhad Antoine Métras
+	Prime orthogeodesics, concave cores and families of identities on hyperbolic surfaces	2024	Ara Basmajian Hugo Parlier Ser Peow Tan
+ PDF Chat	A Bers type classification of big mapping classes	2024	Ara Basmajian Yassin Chandran
+ PDF Chat	Tubes in complex hyperbolic manifolds	2024	Ara Basmajian Youngju Kim
+ PDF Chat	Orthosystoles and orthokissing numbers	2024	Federica Fanoni Ara Basmajian
+ PDF Chat	Counting cusp excursions of reciprocal geodesics	2024	Ara Basmajian Robert Suzzi Valli
+ PDF Chat	Tubes in Complex Hyperbolic Manifolds	2024	Ara Basmajian Youngju Kim
+	The shortest non-simple closed geodesics on hyperbolic surfaces	2023	Ara Basmajian Hugo Parlier Hanh D. Vo
+	Bounded geometry with no bounded pants decomposition	2023	Ara Basmajian Hugo Parlier Nicholas G. Vlamis
+	Low-lying geodesics on the modular surface and necklaces	2023	Ara Basmajian Mingkun Liu
+	Tubes and Steklov eigenvalues in negatively curved manifolds	2023	Ara Basmajian Jade Brisson Asma Hassannezhad Antoine Métras
+ PDF Chat	Combinatorial growth in the modular group	2022	Ara Basmajian Robert Suzzi Valli
+ PDF Chat	The type problem for Riemann surfaces via Fenchel–Nielsen parameters	2022	Ara Basmajian Hrant Hakobyan Dragomir Šarić
+	The shortest non-simple closed geodesics on hyperbolic surfaces	2022	Ara Basmajian Hugo Parlier Hanh D. Vo
+	Bounded geometry with no bounded pants decomposition	2021	Ara Basmajian Hugo Parlier Nicholas G. Vlamis
+	There are no exotic ladder surfaces	2020	Ara Basmajian Nicholas G. Vlamis
+	Prime orthogeodesics, concave cores and families of identities on hyperbolic surfaces	2020	Ara Basmajian Hugo Parlier Ser Peow Tan
+	The type problem for Riemann surfaces via Fenchel-Nielsen parameters	2020	Ara Basmajian Hrant Hakobyan Dragomir Šarić
+	There are no exotic ladder surfaces	2020	Ara Basmajian Nicholas G. Vlamis
+	Combinatorial Growth in the Modular Group	2020	Ara Basmajian Robert Suzzi Valli
+ PDF Chat	Geodesically Complete Hyperbolic Structures	2017	Ara Basmajian Dragomir Šarić
+ PDF Chat	Geometric filling curves on surfaces	2017	Ara Basmajian Hugo Parlier Juan Souto
+	In the tradition of Ahlfors-Bers, VII : 6th Ahlfors-Bers Colloquium, October 23-26, 2014, Yale University, New Haven, CT	2017	Ahlfors-Bers Colloquium Ara Basmajian Yair N. Minsky Alan W. Reid
+	Universal length bounds for non-simple closed geodesics on hyperbolic surfaces	2013	Ara Basmajian
+ PDF Chat	Space form isometries as commutators and products of involutions	2012	Ara Basmajian Bernard Maskit
+ PDF Chat	Generating the Möbius group with involution conjugacy classes	2012	Ara Basmajian Karan Puri
+	Conformally scattered sets in the unit circle	2012	Ara Basmajian
+	Generating the Mobius group with involution conjugacy classes	2010	Ara Basmajian Karan Puri
+	Generating the Mobius group with involution conjugacy classes	2010	Ara Basmajian Karan Puri
+	Geometrically infinite surfaces with discrete length spectra	2008	Ara Basmajian Youngju Kim
+ PDF Chat	Maximal convergence groups and rank one symmetric spaces	2007	Ara Basmajian Mahmoud Zeinalian
+	Möbius transformations of the circle form a maximal convergence group	2006	Ara Basmajian Mahmoud Zeinalian
+	Möbius Transformations of the Circle Form a Maximal Convergence Group	2006	Ara Basmajian Mahmoud Zeinalian
+	Maximal Convergence Groups and Rank One Symmetric Spaces	2004	Ara Basmajian Mahmoud Zeinalian
+	None	2003	Ara Basmajian Scott A. Wolpert
+	COMPLEX HYPERBOLIC GEOMETRY (Oxford Mathematical Monographs) <i>By</i> W<scp>ILLIAM</scp> M. G<scp>OLDMAN</scp>: 316 pp., £65.00, ISBN 0-19-853793-X (Clarendon Press, Oxford, 1999).	2001	Ara Basmajian
+	Quasiconformal mappings and geodesics in the hyperbolic plane	2000	Ara Basmajian
+	Discrete subgroups of complex hyperbolic motions	1997	Ara Basmajian Robert Miner
+	Large parameter spaces of quasiconformally distinct hyperbolic structures	1997	Ara Basmajian
+	Selected problems in Kleinian groups and hyperbolic geometry	1997	Ara Basmajian
+ PDF Chat	Metric Flows in Space Forms of Nonpositive Curvature	1995	Ara Basmajian Gerard Walschap
+ PDF Chat	Metric flows in space forms of nonpositive curvature	1995	Ara Basmajian Gerard Walschap
+	Tubular neighborhoods of totally geodesic hypersurfaces in hyperbolic manifolds	1994	Ara Basmajian
+	The Orthogonal Spectrum of a Hyperbolic Manifold	1993	Ara Basmajian
+ PDF Chat	The Stable Neighborhood Theorem and Lengths of Closed Geodesics	1993	Ara Basmajian
+ PDF Chat	Hyperbolic Structures for Surfaces of Infinite Type	1993	Ara Basmajian
+ PDF Chat	The stable neighborhood theorem and lengths of closed geodesics	1993	Ara Basmajian
+ PDF Chat	Hyperbolic structures for surfaces of infinite type	1993	Ara Basmajian
+	The geometry of totally geodesic hypersurfaces in hyperbolic manifolds	1993	Ara Basmajian
+	Generalizing the hyperbolic collar lemma	1992	Ara Basmajian
+ PDF Chat	Generalizing the hyperbolic collar lemma	1992	Ara Basmajian
+	Generalizing the hyperbolic collar lemma	1992	Ara Basmajian

Common Coauthors

Coauthor	Papers Together
Hugo Parlier	7
Mahmoud Zeinalian	4
Nicholas G. Vlamis	4
Robert Suzzi Valli	3
Dragomir Šarić	3
Youngju Kim	3
Karan Puri	2
Hanh D. Vo	2
Jade Brisson	2
Gerard Walschap	2
Antoine Métras	2
Ser Peow Tan	2
Asma Hassannezhad	2
Hrant Hakobyan	2
Karan Puri	1
Scott A. Wolpert	1
Alan W. Reid	1
Ahlfors-Bers Colloquium	1
Juan Souto	1
Mingkun Liu	1
Yair N. Minsky	1
Yassin Chandran	1
Bernard Maskit	1
Federica Fanoni	1
Robert Miner	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Geometry of Discrete Groups	2006	Alan F. Beardon	13
+ PDF Chat	The Geometry of Discrete Groups	1983	Alan F. Beardon	12
+ PDF Chat	Geometry and Spectra of Compact Riemann Surfaces	2010	Peter Buser	11
+	The collar theorem and examples	1978	Peter Buser	6
+	Comparison of hyperbolic and extremal lengths	1985	Bernard Maskit	5
+ PDF Chat	A Lower Bound for the Volume of Hyperbolic 3-Manifolds	1987	Robert Meyerhoff	5
+	The Orthogonal Spectrum of a Hyperbolic Manifold	1993	Ara Basmajian	5
+ PDF Chat	Growth of the number of simple closed geodesics on hyperbolic surfaces	2008	Maryam Mirzakhani	4
+ PDF Chat	The smallest hyperbolic 3-manifolds with totally geodesic boundary	1991	Sadayoshi Kojima Yosuke Miyamoto	4
+ PDF Chat	On the classification of noncompact surfaces	1963	Ian Richards	4
+ PDF Chat	The stable neighborhood theorem and lengths of closed geodesics	1993	Ara Basmajian	4
+ PDF Chat	On Marden's universal constant of Fuchsian groups	1981	Akira Yamada	4
+	On Marden's universal constant of Fuchsian groups, II	1982	Akira Yamada	4
+	Cylinders in Riemann surfaces	1979	Burton Randol	4
+	A Proof of the Collar Lemma	1981	Noemi Halpern	4
+ PDF Chat	Hyperbolic structures for surfaces of infinite type	1993	Ara Basmajian	3
+	Cylinders on surfaces	1978	Isaac Chavel Edgar Feldman	3
+ PDF Chat	Lectures on Quasiconformal Mappings	2006	Lars V. Ahlfors	3
+ PDF Chat	Generalizing the hyperbolic collar lemma	1992	Ara Basmajian	3
+	Geometrically infinite surfaces with discrete length spectra	2008	Ara Basmajian Youngju Kim	3
+ PDF Chat	On Teichmüller metric and the length spectrums of topologically infinite Riemann surfaces	2011	Erina Kinjo	3
+	Strong Rigidity of Locally Symmetric Spaces.	1973	G. D. Mostow	3
+	Rigidity of lattices: An introduction	1991	M. Gromov P. Pansu	3
+	COLLARS ON RIEMANN SURFACES	1974	Linda Keen	3
+	Traces, lengths, and simplicity for loops on surfaces	1984	John Hempel	3
+	Teichmüller Theory and Quadratic Differentials	1987	Frederick P. Gardiner	3
+	The Real Analytic Theory of Teichmüller Space	1980		3
+	A compactness theorem for Fuchsian groups of the second kind	1976	J. Peter Matelski	3
+ PDF Chat	The lengths of the closed geodesics on a Riemann surface with self-intersections	1989	Toshihiro Nakanishi	3
+ PDF Chat	Discrete Quasiconformal Groups I	1987	F. W. Gehring Gaven Martin	3
+	Classification Theory of Riemann Surfaces	1970	Leo Sario Mitsuru Nakai	3
+ PDF Chat	Conformally natural extension of homeomorphisms of the circle	1986	Adrien Douady Clifford J. Earle	2
+ PDF Chat	Spaces of constant curvature	2010	Joseph A. Wolf	2
+	The Geometry of Finitely Generated Kleinian Groups	1974	Albert Marden	2
+ PDF Chat	Quasiconformal homogeneity of hyperbolic manifolds	2004	Petra Bonfert-Taylor Richard D. Canary Gaven Martin Edward C. Taylor	2
+ PDF Chat	Quasiconformal maps in metric spaces with controlled geometry	1998	Juha Heinonen Pekka Koskela	2
+	Tubular neighborhoods of totally geodesic hypersurfaces in hyperbolic manifolds	1994	Ara Basmajian	2
+ PDF Chat	Lectures on n-Dimensional Quasiconformal Mappings	1971	Jussi Väısälä	2
+ PDF Chat	Manifolds of negative curvature	1969	Richard L. Bishop Barrett O’Neill	2
+	Foundations for the Theory of Quasiconformal Mappings on the Heisenberg Group	1995	Adam Korányi Hans Martin Reimann	2
+ PDF Chat	A cutting and pasting of noncompact polygons with applications to fuchsian groups	1979	Norman Purzitsky	2
+	Discrete subgroups of complex hyperbolic motions	1997	Ara Basmajian Robert Miner	2
+	Simple geodesics and a series constant over Teichmuller space	1998	Greg McShane	2
+	Foliations of Symmetric Spaces	1993	Gerard Walschap	2
+	An Inequality for Riemann Surfaces	1985	Lipman Bers	2
+	A countable Teichmüller modular group	2004	Katsuhiko Matsuzaki	2
+	Geometry and Topology of Manifolds	2007	William P. Thurston	2
+ PDF Chat	Generalizations of McShane's identity to hyperbolic cone-surfaces	2006	Ser Peow Tan Yan Loi Wong Ying Zhang	2
+	The Length Spectrum as Moduli for Compact Riemann Surfaces	1981	Scott A. Wolpert	2
+	On the First Betti Number of a Constant Negatively Curved Manifold	1976	John J. Millson	2