Benjamin Linowitz

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All published works

Action	Title	Year	Authors
+	Systoles of Arithmetic Hyperbolic 2- and 3-Manifolds	2025	Rainie Bozzai Benjamin Linowitz
+ PDF Chat	CONSTRUCTING MULTICUSPED HYPERBOLIC MANIFOLDS THAT ARE ISOSPECTRAL AND NOT ISOMETRIC	2024	Benjamin Linowitz
+	The spectral geometry of hyperbolic and spherical manifolds: analogies and open problems	2023	Emilio A. Lauret Benjamin Linowitz
+	Constructing multi-cusped hyperbolic manifolds that are isospectral and not isometric	2023	Benjamin Linowitz
+	Systole inequalities up congruence towers for arithmetic locally symmetric spaces	2023	Sara Lapan Benjamin Linowitz Jeffrey S. Meyer
+	Systoles of Arithmetic Hyperbolic 2- and 3-Manifolds	2022	Laurel Heck Benjamin Linowitz
+ PDF Chat	Universal systole bounds for arithmetic locally symmetric spaces	2021	Sara Lapan Benjamin Linowitz Jeffrey S. Meyer
+	Universal systole bounds for arithmetic locally symmetric spaces	2021	Sara Lapan Benjamin Linowitz Jeffrey S. Meyer
+ PDF Chat	Areas of totally geodesic surfaces of hyperbolic $3$-orbifolds	2021	Benjamin Linowitz D. B. McReynolds Nicholas Miller
+	Universal systole bounds for arithmetic locally symmetric spaces	2021	Sara Lapan Benjamin Linowitz Jeffrey S. Meyer
+ PDF Chat	Commensurability classes of fake quadrics	2019	Benjamin Linowitz Matthew Stover John Voight
+ PDF Chat	The Fourier coefficients of Eisenstein series newforms	2019	Benjamin Linowitz Lola Thompson
+ PDF Chat	Brauer equivalent number fields and the geometry of quaternionic Shimura varieties	2018	Benjamin Linowitz
+	Brauer equivalent number fields and the geometry of quaternionic Shimura varieties	2018	Benjamin Linowitz
+ PDF Chat	Counting and effective rigidity in algebra and geometry	2018	Benjamin Linowitz D. B. McReynolds Paul Pollack Lola Thompson
+	Brauer equivalent number fields and the geometry of quaternionic Shimura varieties	2018	Benjamin Linowitz
+	BOUNDS FOR ARITHMETIC HYPERBOLIC REFLECTION GROUPS IN DIMENSION 2	2017	Benjamin Linowitz
+ PDF Chat	Bounded gaps between primes and the length spectra of arithmetic hyperbolic 3-orbifolds	2017	Benjamin Linowitz D. B. McReynolds Paul Pollack Lola Thompson
+ PDF Chat	Counting isospectral manifolds	2017	Mikhail Belolipetsky Benjamin Linowitz
+	Areas of totally geodesic surfaces of hyperbolic 3-orbifolds	2017	Benjamin Linowitz D. B. McReynolds Nicholas Miller
+	Bounded gaps between primes and the length spectra of arithmetic hyperbolic 3-orbifolds	2017	Benjamin Linowitz D. B. McReynolds Paul Pollack Lola Thompson
+	Counting problems for geodesics on arithmetic hyperbolic surfaces	2017	Benjamin Linowitz
+	Counting problems for geodesics on arithmetic hyperbolic surfaces	2017	Benjamin Linowitz
+ PDF Chat	Systolic surfaces of arithmetic hyperbolic 3-manifolds	2017	Benjamin Linowitz Jeffrey S. Meyer
+	Totally Geodesic Surfaces in Arithmetic Hyperbolic 3-Manifolds	2017	Benjamin Linowitz Jeffrey S. Meyer
+	Systole inequalities for arithmetic locally symmetric spaces	2017	Sara Lapan Benjamin Linowitz Jeffrey S. Meyer
+ PDF Chat	Systoles of arithmetic hyperbolic surfaces and $3$-manifolds	2017	Benjamin Linowitz D. B. McReynolds Paul Pollack Lola Thompson
+ PDF Chat	Locally Equivalent Correspondences	2017	Benjamin Linowitz D. B. McReynolds Nicholas Miller
+	Areas of totally geodesic surfaces of hyperbolic 3-orbifolds	2017	Benjamin Linowitz D. B. McReynolds Nicholas J. Miller
+	Bounded gaps between primes and the length spectra of arithmetic hyperbolic 3-orbifolds	2017	Benjamin Linowitz D. B. McReynolds Paul Pollack Lola Thompson
+	Counting problems for geodesics on arithmetic hyperbolic surfaces	2017	Benjamin Linowitz
+ PDF Chat	On the isospectral orbifold–manifold problem for nonpositively curved locally symmetric spaces	2016	Benjamin Linowitz Jeffrey S. Meyer
+ PDF Chat	Local selectivity of orders in central simple algebras	2016	Benjamin Linowitz Thomas R. Shemanske
+ PDF Chat	Parametrizing Shimura subvarieties of $${\mathrm{A}_1}$$ Shimura varieties and related geometric problems	2016	Benjamin Linowitz Matthew Stover
+	Counting isospectral manifolds	2016	Mikhail Belolipetsky Benjamin Linowitz
+	Counting isospectral manifolds	2016	Mikhail Belolipetsky Benjamin Linowitz
+	Parametrizing Shimura subvarieties of $\mathrm{A}_1$ Shimura varieties and related geometric problems	2015	Benjamin Linowitz Matthew Stover
+ PDF Chat	Small isospectral and nonisometric orbifolds of dimension 2 and 3	2015	Benjamin Linowitz John Voight
+	Locally Equivalent Correspondences	2015	Benjamin Linowitz D. B. McReynolds Nicholas Miller
+	Systoles of Arithmetic Hyperbolic Surfaces and 3-manifolds	2015	Benjamin Linowitz D. B. McReynolds Paul Pollack Lola Thompson
+	Commensurability Classes of Fake Quadrics	2015	Benjamin Linowitz Matthew Stover John Voight
+	Fake Quadrics	2015	Benjamin Linowitz Matthew Stover John Voight
+	On the isospectral orbifold-manifold problem for nonpositively curved locally symmetric spaces	2015	Benjamin Linowitz Jeffrey S. Meyer
+ PDF Chat	A Noncommutative Analogue of the Odlyzko Bounds and Bounds on Performance for Space-Time Lattice Codes	2015	Benjamin Linowitz Matthew Satriano Roope Vehkalahti
+ PDF Chat	Selective orders in central simple algebras and isospectral families of arithmetic manifolds	2015	Benjamin Linowitz
+	The length spectra of arithmetic hyperbolic 3-manifolds and their totally geodesic surfaces	2015	Benjamin Linowitz Jeffrey S. Meyer Paul Pollack
+	Systoles of Arithmetic Hyperbolic Surfaces and 3-manifolds	2015	Benjamin Linowitz D. B. McReynolds Paul Pollack Lola Thompson
+	On the isospectral orbifold-manifold problem for nonpositively curved locally symmetric spaces	2015	Benjamin Linowitz Jeffrey S. Meyer
+	Commensurability Classes of Fake Quadrics	2015	Benjamin Linowitz Matthew Stover John Voight
+	Parametrizing Shimura subvarieties of $\mathrm{A}_1$ Shimura varieties and related geometric problems	2015	Benjamin Linowitz Matthew Stover
+	Systolic Surfaces of Arithmetic Hyperbolic 3-Manifolds	2015	Benjamin Linowitz Jeffrey S. Meyer
+	Locally Equivalent Correspondences	2015	Benjamin Linowitz D. B. McReynolds Nicholas J. Miller
+ PDF Chat	Families of mutually isospectral Riemannian orbifolds	2014	Benjamin Linowitz
+	Selective orders in central simple algebras and isospectral families of arithmetic manifolds	2014	Benjamin Linowitz
+	A non-commutative analogue of the Odlyzko bounds and bounds on performance for space-time lattice codes	2014	Benjamin Linowitz Matthew Satriano Roope Vehkalahti
+	Small isospectral and nonisometric orbifolds of dimension 2 and 3	2014	Benjamin Linowitz John Voight
+ PDF Chat	The sign changes of Fourier coefficients of Eisenstein series	2014	Benjamin Linowitz Lola Thompson
+ PDF Chat	CHARACTERIZING ADELIC HILBERT MODULAR CUSP FORMS BY COEFFICIENT SIZE	2014	Benjamin Linowitz
+	Selective orders in central simple algebras and isospectral families of arithmetic manifolds	2014	Benjamin Linowitz
+	A non-commutative analogue of the Odlyzko bounds and bounds on performance for space-time lattice codes	2014	Benjamin Linowitz Matthew Satriano Roope Vehkalahti
+	Small isospectral and nonisometric orbifolds of dimension 2 and 3	2014	Benjamin Linowitz John Voight
+	The sign changes of Fourier coefficients of Eisenstein series	2013	Benjamin Linowitz Lola Thompson
+ PDF Chat	On Fields of Definition of Arithmetic Kleinian Reflection Groups II	2013	Mikhail Belolipetsky Benjamin Linowitz
+	The sign changes of Fourier coefficients of Eisenstein series	2013	Benjamin Linowitz Lola Thompson
+ PDF Chat	Decomposition theorems for Hilbert modular forms	2012	Benjamin Linowitz
+	On fields of definition of arithmetic Kleinian reflection groups II	2012	Mikhail Belolipetsky Benjamin Linowitz
+	Newform theory for Hilbert Eisenstein series	2012	Timothy W. Atwill Benjamin Linowitz
+	Selective orders in central simple algebras	2012	Benjamin Linowitz Thomas R. Shemanske
+	Local Selectivity of Orders in Central Simple Algebras	2012	Benjamin Linowitz Thomas R. Shemanske
+	Selectivity in quaternion algebras	2012	Benjamin Linowitz
+	Isospectral towers of Riemannian Manifolds	2012	Benjamin Linowitz
+	Characterizing Hilbert modular cusp forms by coefficient size	2012	Benjamin Linowitz
+ PDF Chat	Embedding orders into central simple algebras	2012	Benjamin Linowitz Thomas R. Shemanske
+	Local Selectivity of Orders in Central Simple Algebras	2012	Benjamin Linowitz Thomas R. Shemanske
+	On fields of definition of arithmetic Kleinian reflection groups II	2012	Mikhail Belolipetsky Benjamin Linowitz
+	Decomposition theorems for Hilbert modular newforms	2011	Benjamin Linowitz
+	Embedding Orders Into Central Simple Algebras	2010	Benjamin Linowitz Thomas R. Shemanske
+	Selectivity in Quaternion Algebras	2010	Benjamin Linowitz
+ PDF Chat	Modular Forms on Noncongruence Subgroups and Atkin–Swinnerton-Dyer Relations	2010	Liqun Fang J. William Hoffman Benjamin Linowitz Andrew Rupinski Helena Verrill
+	Selectivity in Quaternion Algebras	2010	Benjamin Linowitz
+	Embedding Orders Into Central Simple Algebras	2010	Benjamin Linowitz Thomas R. Shemanske
+	Modular forms on noncongruence subgroups and Atkin-Swinnerton-Dyer relations	2008	Liqun Fang J. William Hoffman Benjamin Linowitz Andrew Rupinski Helena Verrill

Common Coauthors

Coauthor	Papers Together
D. B. McReynolds	13
Jeffrey S. Meyer	12
Lola Thompson	11
John Voight	7
Matthew Stover	7
Thomas R. Shemanske	7
Paul Pollack	6
Mikhail Belolipetsky	6
Sara Lapan	5
Nicholas Miller	4
Matthew Satriano	3
Roope Vehkalahti	3
Helena Verrill	2
Liqun Fang	2
Andrew Rupinski	2
Nicholas J. Miller	2
Paul Pollack	2
J. William Hoffman	2
Rainie Bozzai	1
Timothy W. Atwill	1
Emilio A. Lauret	1
Laurel Heck	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Arithmetic of Hyperbolic Manifolds	1992	Colin M. MacLachlan Alan W. Reid	19
+	Commensurability classes and volumes of hyperbolic 3-manifolds	1981	A. Borel	16
+ PDF Chat	Geodesics and commensurability classes of arithmetic hyperbolic 3-manifolds	2008	Ted Chinburg Emily Hamilton D. D. Long Alan W. Reid	15
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	15
+	The Arithmetic of Hyperbolic 3-Manifolds	2003	Colin M. MacLachlan Alan W. Reid	14
+	The smallest arithmetic hyperbolic three-orbifold	1986	Ted Chinburg Eduardo Friedman	13
+ PDF Chat	Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions : a survey of recent results	1990	Andrew Odlyzko	12
+	Selectivity in quaternion algebras	2012	Benjamin Linowitz	12
+	Varietes Riemanniennes Isospectrales et non Isometriques	1980	Marie-France Vignéras	11
+ PDF Chat	On representations of spinor genera	2004	Wai Kiu Chan Fei Xu	11
+ PDF Chat	Weakly commensurable arithmetic groups and isospectral locally symmetric spaces	2009	Gopal Prasad Andrei S. Rapinchuk	11
+	An embedding theorem for Eichler orders	2004	Xuejun Guo Hourong Qin	11
+ PDF Chat	Algebraic number theory	1999	Kazuya Katô Nobushige Kurokawa Takeshi Saito	11
+	Optimal embeddings in quaternion algebras	2008	Colin M. MacLachlan	9
+	Isospectrality and commensurability of arithmetic hyperbolic 2- and 3-manifolds	1992	Alan W. Reid	9
+	Algebraic Number Theory	1994	Serge Lang	8
+ PDF Chat	Arithmétique des Algèbres de Quaternions	1980	Marie-France Vignéras	8
+	LOCAL CORRECTIONS OF DISCRIMINANT BOUNDS AND SMALL DEGREE EXTENSIONS OF QUADRATIC BASE FIELDS	2008	Sharon Brueggeman Darrin Doud	8
+ PDF Chat	Counting and effective rigidity in algebra and geometry	2018	Benjamin Linowitz D. B. McReynolds Paul Pollack Lola Thompson	7
+	Riemannian Coverings and Isospectral Manifolds	1985	Toshikazu Sunada	7
+ PDF Chat	Arithmetic Subgroups of Algebraic Groups	1962	Armand Borel Harish-chandra Harish-Chandra	7
+ PDF Chat	Finiteness theorems for discrete subgroups of bounded covolume in semi-simple groups	1989	Armand Borel Gopal Prasad	7
+ PDF Chat	Volumes of S-arithmetic quotients of semi-simple groups	1989	Gopal Prasad	7
+	The arithmetic hyperbolic 3-manifold of smallest volume	2001	Ted Chinburg Eduardo Friedman Kerry N. Jones Alan W. Reid	6
+ PDF Chat	The genus spectrum of a hyperbolic 3-manifold	2014	D. B. McReynolds A. W. Reid	6
+	Classnumbers and unit signatures	1967	J. V. Armitage A. Fröhlich	6
+ PDF Chat	Geometric Spectra and Commensurability	2013	D. B. McReynolds	6
+ PDF Chat	Mutations and short geodesics in hyperbolic 3-manifolds	2017	Christian Millichap	6
+	Discrete Subgroups of Semisimple Lie Groups	1991	Gregori Aleksandrovitch Margulis	6
+ PDF Chat	Arithmetic Fuchsian Groups of Genus Zero	2006	D. D. Long Colin M. MacLachlan Alan W. Reid	6
+	Geometry and Topology of Manifolds	2007	William P. Thurston	5
+ PDF Chat	Twists of Hilbert modular forms	1993	Thomas R. Shemanske Lynne H. Walling	5
+	The special values of the zeta functions associated with Hilbert modular forms	1978	Goro Shimura	5
+	Newform theory for Hilbert Eisenstein series	2012	Timothy W. Atwill Benjamin Linowitz	5
+	Analytic formulas for the regulator of a number field	1989	Eduardo Friedman	5
+ PDF Chat	Counting arithmetic lattices and surfaces	2010	Mikhail Belolipetsky Tsachik Gelander Alexander Lubotzky Aner Shalev	5
+ PDF Chat	Embedding orders into central simple algebras	2012	Benjamin Linowitz Thomas R. Shemanske	5
+	Survey of Isospectral Manifolds	2000	Carolyn S. Gordon	5
+	Newforms and functional equations	1975	Wen Ch ing Winnie Li	5
+	Split orders and convex polytopes in buildings	2009	Thomas R. Shemanske	5
+ PDF Chat	Hyperbolic manifolds of small volume	2014	Mikhail Belolipetsky Vincent Emery	4
+	On Zeta Functions of Quaternion Algebras	1965	Hideo Shimizu	4
+	Lower bounds for height functions	1984	Joseph H. Silverman	4
+	On two classical theorems in the theory of orders	1990	Juliusz Brzeziński	4
+ PDF Chat	Upper bounds for residues of Dedekind zeta functions and class numbers of cubic and quartic number fields	2011	Stéphane Louboutin	4
+ PDF Chat	Small isospectral and nonisometric orbifolds of dimension 2 and 3	2015	Benjamin Linowitz John Voight	4
+ PDF Chat	Zeta functions do not determine class numbers	1994	Bart de Smit Robert Perlis	4
+ PDF Chat	Division algebras and noncommensurable isospectral manifolds	2006	Alexander Lubotzky Beth Samuels Uzi Vishne	4
+ PDF Chat	Boundary volume and length spectra of Riemannian manifolds: what the middle degree Hodge spectrum doesn't reveal	2003	Carolyn S. Gordon Juan Pablo Rossetti	4
+	Introduction to Arithmetic Groups	2015	Dave Witte Morris	4