PUBLICATIONS
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Locally Equivalent Correspondences (with B. Linowitz and D. B. McReynolds). Ann. Inst. Fourier (Grenoble) 67 (2017), no. 2, 451–482.
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Appendix to Quasi-isometric embeddings of non-uniform lattices by D. Fisher and T. Nguyen (with S. Garibaldi, D. B. McReynolds, and D. Witte Morris). Comment. Math. Helv. 95 (2020), no. 1, 37–78.
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Effective virtual and residual properties of some arithmetic hyperbolic 3-manifolds (with J. Deblois and P. Patel). Trans. Amer. Math. Soc. 373 (2020), no. 11, 8219-8257.
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Finiteness of maximal geodesic submanifolds in hyperbolic hybrids (with D. Fisher, J.-F. Lafont, and M. Stover). J. Eur. Math. Soc. (JEMS) 23 (2021), no. 11, 3591–3623.​
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Areas of totally geodesic surfaces of hyperbolic 3-orbifolds (with B. Linowitz and D. B. McReynolds). Pure Appl. Math. Q. 17 (2021), no. 1, 1–25.
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Arithmeticity, superrigidity, and totally geodesic submanifolds (with U. Bader, D. Fisher, and M. Stover). Ann. of Math. (2) 193 (2021), no. 3, 837–861.
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Arithmetic progressions in the primitive length spectrum. Available at arXiv:1602.01869 [math.GT].
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On the genus of congruence surfaces from maximal orders (with E. Albers). Available at arXiv: 1901.07934 [math.GT].
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Arithmeticity, superrigidity, and totally geodesic submanifolds of complex hyperbolic manifolds (with U. Bader, D. Fisher, and M. Stover). Available at: arXiv:2006.03008 [math.DS].​
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Infinite-type loxodromic isometries of the relative arc graph (with C. Abbott and P. Patel). Available at: arXiv: 2109.06106 [math.GT].
Preprints coming soon
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Azumaya algebras and once punctured torus bundles. In preparation.​
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Recursive enumeration of lattices commensurable with SLn(Z) (with D. B. McReynolds and J.-F. Lafont). In preparation.​
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Unmarked simple length rigidity for some hyperbolic surfaces (with T. Aougab, M. Lahn, and M. Loving). In preparation.​
Upcoming Travel
Ergodic geometry, number theory and Margulis legacy: the next generation, University of Chicago, May 2022
Geometry, Arithmetic, and Groups, Rice University, June 2022
Complex Hyperbolic Geometry and Related Topics, CIRM, July 2022