Search Results - "Stover, Matthew"
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Volumes of Picard modular surfaces
Published in Proceedings of the American Mathematical Society (01-09-2011)“…We show that the conjectural cusped complex hyperbolic 2-orbifolds of minimal volume are the two smallest arithmetic complex hyperbolic 2-orbifolds. We then…”
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Algebraic fundamental groups of fake projective planes
Published in Journal of the European Mathematical Society : JEMS (11-09-2024)“…Fundamental groups of fake projective planes fall into fifty distinct isomorphism classes, one for each complex conjugate pair. We prove that this is not the…”
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3
Mechanically assisted crevice corrosion of the head-neck taper in a large head metal-on-metal total hip arthroplasty
Published in Arthroplasty today (01-12-2015)“…Abstract Taper corrosion of the head-neck junction is a potentially significant and devastating problem facing orthopedic surgeons. We present a case of a 53…”
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4
Star Wars on Trial: Science Fiction and Fantasy Writers Debate the Most Popular Science Fiction Films of All Time
Published 22-06-2009“…Debates on the authenticity of the Star Wars franchise and the hero-or-villain status of George Lucas are at the heart of these essays by bestselling…”
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On general type surfaces with $$q=1$$ and $$c_2 = 3 p_g
Published in Manuscripta mathematica (05-05-2019)“…Let S be a minimal surface of general type with irregularity q(S)=1. Well-known inequalities between characteristic numbers imply that…”
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On general type surfaces with q=1 and c2=3pg
Published in Manuscripta mathematica (05-05-2019)“…Let S be a minimal surface of general type with irregularity q ( S ) = 1 . Well-known inequalities between characteristic numbers imply that 3 p g ( S ) ≤ c 2…”
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Residually Finite Lattices in PU(2,1)˜ and Fundamental Groups of Smooth Projective Surfaces
Published in The Michigan mathematical journal (01-08-2022)Get full text
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Hurwitz ball quotients
Published in Mathematische Zeitschrift (01-10-2014)“…We consider the analogue of Hurwitz curves, smooth projective curves C of genus g ≥ 2 that realize equality in the Hurwitz bound | Aut ( C ) | ≤ 84 ( g - 1 ) ,…”
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Arithmeticity, superrigidity and totally geodesic submanifolds of complex hyperbolic manifolds
Published in Inventiones mathematicae (01-07-2023)“…For n ≥ 2 , we prove that a finite volume complex hyperbolic n -manifold containing infinitely many maximal properly immersed totally geodesic submanifolds of…”
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10
Arithmeticity of complex hyperbolic triangle groups
Published in Pacific journal of mathematics (01-05-2012)Get full text
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11
Parametrizing Shimura subvarieties of $${\mathrm{A}_1}$$ Shimura varieties and related geometric problems
Published in Archiv der Mathematik (01-09-2016)“…This paper gives a complete parametrization of the commensurability classes of totally geodesic subspaces of irreducible arithmetic quotients of X a , b = ( H…”
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12
Negative curves of small genus on surfaces
Published in Mathematische Zeitschrift (01-06-2020)“…Let X be a smooth geometrically irreducible projective surface over a field. In this paper we give an effective upper bound in terms of the Néron–Severi rank…”
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13
Azumaya Algebras and Canonical Components
Published in International mathematics research notices (23-03-2022)“…Abstract Let $M$ be a compact 3-manifold and $\Gamma =\pi _1(M)$. Work by Thurston and Culler–Shalen established the…”
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14
New nonlinear hyperbolic groups
Published in The Bulletin of the London Mathematical Society (01-06-2019)“…We construct nonlinear hyperbolic groups which are large, torsion‐free, one‐ended, and admit a finite K(π,1). Our examples are built from superrigid cocompact…”
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15
Commensurability classes of fake quadrics
Published in Selecta mathematica (Basel, Switzerland) (01-08-2019)“…A fake quadric is a smooth projective surface that has the same rational cohomology as a smooth quadric surface but is not biholomorphic to one. We provide an…”
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COVOLUMES OF NONUNIFORM LATTICES IN PU(n, 1)
Published in American journal of mathematics (01-02-2014)“…This paper studies the covolumes of nonuniform arithmetic lattices in PU(n, 1). We determine the smallest covolume nonuniform arithmetic lattices for each n,…”
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17
Cusps of Picard modular surfaces
Published in Geometriae dedicata (01-04-2012)“…We determine the number of cusps of minimal Picard modular surfaces. The proof also counts cusps of other Picard modular surfaces of arithmetic interest…”
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18
Parametrizing Shimura subvarieties of A1 Shimura varieties and related geometric problems
Published in Archiv der Mathematik (2016)“…This paper gives a complete parametrization of the commensurability classes of totally geodesic subspaces of irreducible arithmetic quotients of X a , b = ( H…”
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Correction to: Commensurability classes of fake quadrics
Published in Selecta mathematica (Basel, Switzerland) (2019)“…In the original publication of the article, the author comment was misunderstood and the section…”
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20
Residual finiteness and discrete subgroups of Lie groups
Published 10-07-2024“…Let $G$ be a real Lie group and $\Gamma < G$ be a discrete subgroup of $G$. Is $\Gamma$ residually finite? This paper describes known positive and negative…”
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