Publications

  1. Complex hyperbolic 2-orbifolds with isolated singularities
    w/ Alan W. Reid
    In preparation
  2. Cocompact Fuchsian groups with a modular embedding
    Preprint
  3. High dimensional hyperbolic Coxeter groups that virtually fiber
    w/ Jean-François Lafont, Barry Minemyer, Gangotryi Sorcar, and Joseph Wells
    Submitted
    arxiv
  4. Profinite rigidity amongst Kähler groups: Curves and subdirect products
    w/ Sam Hughes, Claudio Llosa Isenrich, Pierre Py, and Stefano Vidussi
    Submitted
    arxiv
  5. One-cusped complex hyperbolic 2-manifolds
    w/ Martin Deraux
    Submitted
    arxiv
  6. Products of curves as ball quotients
    Submitted
    arxiv
  7. Residual finiteness and discrete subgroups of Lie groups
    To appear in the proceedings of the conference “Zariski dense subgroups, number theory and geometric applications”
    arxiv
  8. Rich representations and superrigidity
    w/ Gregorio Baldi, Nicholas Miller, and Emmanuel Ullmo
    To appear in Ergodic Theory Dynam. Systems
    arxiv
  9. Algebraic fundamental groups of fake projective planes
    To appear in J. Eur. Math. Soc. (JEMS)
    arxiv | magma file
  10. Geometry of the Wiman-Edge monodromy
    J. Topol. Anal. 15 (2023), no. 3, 815-843
    arxiv | magma and mathematica files
  11. 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
  12. Congruence RFRS towers
    w/ Ian Agol and an appendix by Mehmet Haluk Şengün
    Ann. Inst. Fourier (Grenoble) 73 (2023), no. 1, 307–333
    arxiv
  13. Rigid surfaces arbitrarily close to the Bogomolov-Miyakoa-Yau line
    w/ Giancarlo Urzúa
    Amer. J. Math. 144 (2022), no. 6, 1783-1804
    arxiv | magma and mathematica files
  14. 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
  15. Residually finite lattices in \widetilde{PU}(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 | mathematica files
  16. Azumaya algebras and canonical components
    w/ Ted Chinburg and Alan W. Reid
    Int. Math. Res. Not. IMRN 2022, no. 7, 4969-5036
    arxiv
  17. 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
  18. 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
  19. 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
  20. Negative curves of small genus on surfaces
    w/ Ted Chinburg
    Math. Z. 295 (2020), no. 1-2, 309-330
    arxiv
  21. Lattices in PU(n,1) that are not profinitely rigid
    Proc. Amer. Math. Soc. 147 (2019), 5055-5062
    arxiv
  22. 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 | magma file
  23. Commensurability classes of fake quadrics
    w/ Ben Linowitz and John Voight
    Selecta Math. (N.S.) 25 (2019), no. 3, 25:48
    arxiv
  24. New nonlinear hyperbolic groups
    w/ Richard D. Canary and Konstantinos Tsouvalas
    Bull. Lond. Math. Soc. 51 (2019), no. 3, 547-553
    arxiv
  25. On general type surfaces with q=1 and c2=3pg
    Manuscripta Math. 159 (2019), no. 1-2, 171-182
    arxiv
  26. Explicit bounds from the Alon-Boppana theorem
    w/ Joseph Richey and Noah Shutty
    Exp. Math. 27 (2018), no. 4, 444-453
    arxiv | python file
  27. 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
  28. 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
  29. Geodesic curves on Shimura surfaces
    w/ Ted Chinburg
    Topology Proc. 52 (2018), 113-121
    arxiv
  30. Constructing geometrically equivalent hyperbolic orbifolds
    w/ D. B. McReynolds and Jeffrey Meyer
    Algebr. Geom. Topol. 17 (2017), no. 2, 831-846
    arxiv
  31. 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
  32. 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
  33. Parametrizing Shimura subvarieties of A1 Shimura varieties and related geometric problems
    w/ Ben Linowitz
    Arch. Math. (Basel) 107 (2016), no. 3, 213-226
    arxiv
  34. Multiple realizations of varieties as ball quotient compactifications
    w/ Luca F. Di Cerbo
    Michigan Math. J. 65 (2016), no. 2, 441-447
    arxiv
  35. 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
  36. Small generators for S-unit groups of division algebras
    w/ Ted Chinburg
    New York J. Math 20 (2014), 1175-1202
    arxiv
  37. Hurwitz ball quotients
    Math. Z. 277 (2014), no. 1-2, 75-91
    arxiv | magma file
  38. Covolumes of nonuniform lattices in PU(n,1)
    w/ Vincent Emery
    Amer. J. Math. 136 (2014), no. 1, 143-164
    arxiv
  39. 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
  40. On the number of ends of rank one locally symmetric spaces
    Geom. Topol. 17 (2013), no. 2, 905-924
    arxiv
  41. A Cantor set with hyperbolic complement
    w/ Juan Souto
    Conform. Geom. Dyn. 17 (2013), 58-67
    arxiv
  42. Arithmeticity of complex hyperbolic triangle groups
    Pacific J. Math. 257 (2012), no. 1, 243-256
    arxiv
  43. Cusps of Picard modular surfaces
    Geom. Dedicata 157 (2012), 239-257
    arxiv
  44. Volumes of Picard modular surfaces
    Proc. Amer. Math. Soc. 139 (2011), no. 9, 3045-3056
    arxiv | magma file
  45. Property (FA) and lattices in SU(2,1)
    Internat. J. Algebra Comput. 17 (2007), no. 7, 1335-1347
    arxiv | addendum