Matthew Stover

A question of Raghunathan on generating lattices
w/ Gregorio Baldi, Nicholas Miller, and Emmanuel Ullmo
In preparation

Algebraic fundamental groups of fake projective planes
Submitted
pdf  magma file

Geometry of the WimanEdge monodromy
To appear in J. Topol. Anal.
pdf  magma file  mathematica file

Arithmeticity, superrigidity, and totally geodesic submanifolds of complex hyperbolic manifolds
w/ Uri Bader, David Fisher, and Nicholas Miller
Invent. Math. 233 (2023), no. 1, 169222
pdf

Congruence RFRS towers
w/ Ian Agol and an appendix by Mehmet Haluk Şengün
Ann. Inst. Fourier (Grenoble) 73 (2023), no. 1, 307–333
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Rigid surfaces arbitrarily close to the BogomolovMiyakoaYau line
w/ Giancarlo Urzúa
Amer. J. Math. 144 (2022), no. 6, 17831804
pdf  magma file  mathematica file

Residual finiteness for central extensions of lattices in PU(n,1) and negatively curved projective varieties
w/ Domingo Toledo
Pure Appl. Math. Q. 18 (2022), no. 4, 17711797 (Special issue celebrating the work of Herb Clemens)
pdf

Residually finite lattices in \widetilde{PU}(2,1) and fundamental groups of smooth projective surfaces
w/ Domingo Toledo
Michigan Math. J. 72 (2022), 559597 (Special Volume in Honor of Gopal Prasad)
pdf  nonuniform mathematica file  uniform mathematica file

Azumaya algebras and canonical components
w/ Ted Chinburg and Alan W. Reid
Int. Math. Res. Not. IMRN 2022, no. 7, 49695036
pdf

Finiteness of maximal geodesic submanifolds in hyperbolic hybrids
w/ David Fisher, JeanFrançois Lafont, and Nicholas Miller
J. Eur. Math. Soc. (JEMS) 23 (2021), no. 11, 35913623
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Arithmeticity, superrigidity, and totally geodesic submanifolds
w/ Uri Bader, David Fisher, and Nicholas Miller
Ann. of Math. (2) 193 (2021), no. 3, 837861
pdf

Cusp and b1 growth for ball quotients and maps onto Z with finitely generated kernel
Indiana Univ. Math. J. 70 (2021), no. 1, 213233
pdf

Negative curves of small genus on surfaces
w/ Ted Chinburg
Math. Z. 295 (2020), no. 12, 309330
pdf

Lattices in PU(n,1) that are not profinitely rigid
Proc. Amer. Math. Soc. 147 (2019), 50555062
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Punctured spheres in complex hyperbolic surfaces and bielliptic ball quotient compactifications
w/ Luca F. Di Cerbo
Trans. Amer. Math. Soc. 372 (2019), 46274646
pdf  magma file

Commensurability classes of fake quadrics
w/ Ben Linowitz and John Voight
Selecta Math. (N.S.) 25 (2019), no. 3, 25:48
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New nonlinear hyperbolic groups
w/ Richard D. Canary and Konstantinos Tsouvalas
Bull. Lond. Math. Soc. 51 (2019), no. 3, 547553
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On general type surfaces with q=1 and c2=3pg
Manuscripta Math. 159 (2019), no. 12, 171182
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Explicit bounds from the AlonBoppana theorem
w/ Joseph Richey and Noah Shutty
Exp. Math. 27 (2018), no. 4, 444453
pdf  python file

Character varieties and actions on products of trees
w/ David Fisher, Michael Larsen, and Ralf Spatzier
Israel J. Math. 225 (2018), no. 2, 889907
pdf

Classification and arithmeticity of toroidal compactifications with c1^2 = 3 c2 = 3
w/ Luca F. Di Cerbo
Geom. Topol. 22 (2018), no. 4, 24652510
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Geodesic curves on Shimura surfaces
w/ Ted Chinburg
Topology Proc. 52 (2018), 113121
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Geometrically equivalent hyperbolic orbifolds
w/ D. B. McReynolds and Jeffrey Meyer
Algebr. Geom. Topol. 17 (2017), no. 2, 831846
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Amalgam Anosov representations
w/ Richard D. Canary and Michelle Lee
Appendix: Convex Anosov Schottky groups
w/ Richard D. Canary, Michelle Lee, and Andrés Sambarino
Geom. Topol. 21 (2017), no. 1, 215251
pdf

Bielliptic ball quotient compactifications and lattices in PU(2,1) with finitely generated commutator subgroup
w/ Luca F. Di Cerbo
Ann. Inst. Fourier (Grenoble) 67 (2017), no. 1, 315328
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Parametrizing Shimura subvarieties of A1 Shimura varieties and related geometric problems
w/ Ben Linowitz
Arch. Math. (Basel) 107 (2016), no. 3, 213226
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Multiple realizations of varieties as ball quotient compactifications
w/ Luca F. Di Cerbo
Michigan Math. J. 65 (2016), no. 2, 441447
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Presentations for quaternionic Sunit groups
w/ T. Chinburg, H. Friedlander, S. Howe, M. Kosters, B. Singh, Y. Zhang, and P. Ziegler
Exp. Math. 24 (2015), no. 2, 175182
pdf

Small generators for Sunit groups of division algebras
w/ Ted Chinburg
New York J. Math 20 (2014), 11751202
pdf

Hurwitz ball quotients
Math. Z. 277 (2014), no. 12, 7591
pdf  magma file

Covolumes of nonuniform lattices in PU(n,1)
w/ Vincent Emery
Amer. J. Math. 136 (2014), no. 1, 143164
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Collisions at infinity in hyperbolic manifolds
w/ D. B. McReynolds and Alan W. Reid
Math. Proc. Cambridge Philos. Soc. 155 (2013), no. 3, 459463
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On the number of ends of rank one locally symmetric spaces
Geom. Topol. 17 (2013), no. 2, 905924
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A Cantor set with hyperbolic complement
w/ Juan Souto
Conform. Geom. Dyn. 17 (2013), 5867
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Arithmeticity of complex hyperbolic triangle groups
Pacific J. Math. 257 (2012), no. 1, 243256
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Cusps of Picard modular surfaces
Geom. Dedicata 157 (2012), 239257
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Volumes of Picard modular surfaces
Proc. Amer. Math. Soc. 139 (2011), no. 9, 30453056
pdf  magma file

Property (FA) and lattices in SU(2,1)
Internat. J. Algebra Comput. 17 (2007), no. 7, 13351347
pdf  addendum