1. Finite groups and complex projective surfaces
    w/ Alexander Lubotzky
    Submitted
    arxiv
  2. Cohomological nonvanishing for algebraic fundamental groups of ball quotients
    Submitted
    arxiv
  3. Products of curves as ball quotients
    Submitted
    arxiv
  4. Profinite rigidity amongst Kähler groups: Curves and subdirect products
    w/ Sam Hughes, Claudio Llosa Isenrich, Pierre Py, and Stefano Vidussi
    To appear in Adv. Math.
    arxiv
  5. Automorphisms of the moduli space of smooth cubic surfaces and its fundamental group
    w/ Gregorio Baldi, Benson Farb, and Ariyan Javanpeykar
    To appear in Math. Res. Lett.
    arxiv
  6. One-cusped complex hyperbolic 2-manifolds
    w/ Martin Deraux
    To appear in Comment. Math. Helv.
    arxiv
  7. Complex hyperbolic 2-orbifolds with isolated singularities
    w/ Alan W. Reid
    Glasg. Math. J. 68 (2026), no. 3, 460-469
    arxiv
  8. Residual finiteness and discrete subgroups of Lie groups
    Zariski Dense Subgroups, Number Theory and Geometric Applications:
    Research Articles, 299-321
    Infosys Sci. Found. Ser., Infosys Sci. Found. Ser. Math. Sci., Springer (2026)
    arxiv
  9. Algebraic fundamental groups of fake projective planes
    J. Eur. Math. Soc. (JEMS) 28 (2026), no. 8, pp. 3623–3652
    arxiv | supplementary file
  10. A hyperbolic 4-orbifold with underlying space P2
    C. R. Math. Acad. Sci. Paris 364 (2026), 277-284
    arxiv | supplementary files
  11. Cocompact Fuchsian groups with a modular embedding
    Int. Math. Res. Not. IMRN 2026, no. 3, Paper No. rnag011
    arxiv
  12. High dimensional hyperbolic Coxeter groups that virtually fiber
    w/ Jean-François Lafont, Barry Minemyer, Gangotryi Sorcar, and Joseph Wells
    Math. Ann. 393 (2025), no. 3-4, 3083-3107.
    arxiv
  13. Rich representations and superrigidity
    w/ Gregorio Baldi, Nicholas Miller, and Emmanuel Ullmo
    Ergodic Theory Dynam. Systems 45 (2025), no. 8, 2249-2272
    arxiv
  14. Geometry of the Wiman-Edge monodromy
    J. Topol. Anal. 15 (2023), no. 3, 815-843
    arxiv | supplementary files
  15. Arithmeticity, superrigidity, and totally geodesic submanifolds of complex hyperbolic manifolds
    w/ Uri Bader, David Fisher, and Nicholas Miller
    Invent. Math. 233 (2023), no. 1, 169-222
    arxiv
  16. Congruence RFRS towers
    w/ Ian Agol and an appendix by Mehmet Haluk Şengün
    Ann. Inst. Fourier (Grenoble) 73 (2023), no. 1, 307–333
    arxiv
  17. Rigid surfaces arbitrarily close to the Bogomolov-Miyakoa-Yau line
    w/ Giancarlo Urzúa
    Amer. J. Math. 144 (2022), no. 6, 1783-1804
    arxiv | supplementary files
  18. 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, 1771-1797 (Special issue celebrating the work of Herb Clemens)
    arxiv
  19. Residually finite lattices in \widetilde(2,1) and fundamental groups of smooth projective surfaces
    w/ Domingo Toledo
    Michigan Math. J. 72 (2022), 559-597 (Special Volume in Honor of Gopal Prasad)
    arxiv | supplementary files
  20. Azumaya algebras and canonical components
    w/ Ted Chinburg and Alan W. Reid
    Int. Math. Res. Not. IMRN 2022, no. 7, 4969-5036
    arxiv
  21. Finiteness of maximal geodesic submanifolds in hyperbolic hybrids
    w/ David Fisher, Jean-François Lafont, and Nicholas Miller
    J. Eur. Math. Soc. (JEMS) 23 (2021), no. 11, 3591-3623
    arxiv | corrigendum
  22. Arithmeticity, superrigidity, and totally geodesic submanifolds
    w/ Uri Bader, David Fisher, and Nicholas Miller
    Ann. of Math. (2) 193 (2021), no. 3, 837-861
    arxiv
  23. Cusp and b1 growth for ball quotients and maps onto Z with finitely generated kernel
    Indiana Univ. Math. J. 70 (2021), no. 1, 213-233
    arxiv
  24. Negative curves of small genus on surfaces
    w/ Ted Chinburg
    Math. Z. 295 (2020), no. 1-2, 309-330
    arxiv
  25. Lattices in PU(n,1) that are not profinitely rigid
    Proc. Amer. Math. Soc. 147 (2019), 5055-5062
    arxiv
  26. Punctured spheres in complex hyperbolic surfaces and bielliptic ball quotient compactifications
    w/ Luca F. Di Cerbo
    Trans. Amer. Math. Soc. 372 (2019), 4627-4646
    arxiv | supplementary file
  27. Commensurability classes of fake quadrics
    w/ Ben Linowitz and John Voight
    Selecta Math. (N.S.) 25 (2019), no. 3, 25:48
    arxiv
  28. New nonlinear hyperbolic groups
    w/ Richard D. Canary and Konstantinos Tsouvalas
    Bull. Lond. Math. Soc. 51 (2019), no. 3, 547-553
    arxiv
  29. On general type surfaces with q=1 and c2=3pg
    Manuscripta Math. 159 (2019), no. 1-2, 171-182
    arxiv
  30. Explicit bounds from the Alon-Boppana theorem
    w/ Joseph Richey and Noah Shutty
    Exp. Math. 27 (2018), no. 4, 444-453
    arxiv | supplementary file
  31. Character varieties and actions on products of trees
    w/ David Fisher, Michael Larsen, and Ralf Spatzier
    Israel J. Math. 225 (2018), no. 2, 889-907
    arxiv
  32. Classification and arithmeticity of toroidal compactifications with c1^2 = 3 c2 = 3
    w/ Luca F. Di Cerbo
    Geom. Topol. 22 (2018), no. 4, 2465-2510
    arxiv
  33. Geodesic curves on Shimura surfaces
    w/ Ted Chinburg
    Topology Proc. 52 (2018), 113-121
    arxiv
  34. Constructing geometrically equivalent hyperbolic orbifolds
    w/ D. B. McReynolds and Jeffrey Meyer
    Algebr. Geom. Topol. 17 (2017), no. 2, 831-846
    arxiv
  35. 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, 215-251
    arxiv
  36. 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, 315-328
    arxiv
  37. Parametrizing Shimura subvarieties of A1 Shimura varieties and related geometric problems
    w/ Ben Linowitz
    Arch. Math. (Basel) 107 (2016), no. 3, 213-226
    arxiv
  38. Multiple realizations of varieties as ball quotient compactifications
    w/ Luca F. Di Cerbo
    Michigan Math. J. 65 (2016), no. 2, 441-447
    arxiv
  39. Presentations for quaternionic S-unit groups
    w/ T. Chinburg, H. Friedlander, S. Howe, M. Kosters, B. Singh, Y. Zhang, and P. Ziegler
    Exp. Math. 24 (2015), no. 2, 175-182
    arxiv
  40. Small generators for S-unit groups of division algebras
    w/ Ted Chinburg
    New York J. Math 20 (2014), 1175-1202
    arxiv
  41. Hurwitz ball quotients
    Math. Z. 277 (2014), no. 1-2, 75-91
    arxiv | supplementary file
  42. Covolumes of nonuniform lattices in PU(n,1)
    w/ Vincent Emery
    Amer. J. Math. 136 (2014), no. 1, 143-164
    arxiv
  43. Collisions at infinity in hyperbolic manifolds
    w/ D. B. McReynolds and Alan W. Reid
    Math. Proc. Cambridge Philos. Soc. 155 (2013), no. 3, 459-463
    arxiv
  44. On the number of ends of rank one locally symmetric spaces
    Geom. Topol. 17 (2013), no. 2, 905-924
    arxiv
  45. A Cantor set with hyperbolic complement
    w/ Juan Souto
    Conform. Geom. Dyn. 17 (2013), 58-67
    arxiv
  46. Arithmeticity of complex hyperbolic triangle groups
    Pacific J. Math. 257 (2012), no. 1, 243-256
    arxiv
  47. Cusps of Picard modular surfaces
    Geom. Dedicata 157 (2012), 239-257
    arxiv
  48. Volumes of Picard modular surfaces
    Proc. Amer. Math. Soc. 139 (2011), no. 9, 3045-3056
    arxiv | supplementary file
  49. Property (FA) and lattices in SU(2,1)
    Internat. J. Algebra Comput. 17 (2007), no. 7, 1335-1347
    arxiv | addendum