PUBLICATIONS

1.

Locally Equivalent Correspondences (with B. Linowitz and D. B. McReynolds). Ann. Inst. Fourier (Grenoble) 67 (2017), no. 2, 451–482.

2.

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.

3.

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.

Finiteness of maximal geodesic submanifolds in hyperbolic hybrids (with D. Fisher, J.-F. Lafont, and M. Stover). To appear in Journal of the European Mathematics Society (JEMS).​

4.

5.

Areas of totally geodesic surfaces of hyperbolic 3-orbifolds (with B. Linowitz and D. B. McReynolds). To appear in Pure and Applied Mathematics Quarterly.

6.

Arithmeticity, superrigidity, and totally geodesic submanifolds (with U. Bader, D. Fisher, and M. Stover). Ann. of Math. (2) 193 (2021), no. 3, 837–861.

Arithmetic progressions in the primitive length spectrum. Submitted.

7.

On the genus of congruence surfaces from maximal orders (with E. Albers). Submitted.

8.

9.

Arithmeticity, superrigidity, and totally geodesic submanifolds of complex hyperbolic manifolds (with U. Bader, D. Fisher, and M. Stover). Submitted.​

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

Loxodromics in the modified arc complex (with C. Abbott and P. Patel). In preparation.​

Preprints coming soon

1.

Azumaya algebras and once punctured torus bundles. In preparation.​

2.

Recursive enumeration of lattices commensurable with SLn(Z) (with D. B. McReynolds and J.-F. Lafont). In preparation.​

3.

Unmarked simple length rigidity for some hyperbolic surfaces (with T. Aougab, M. Lahn, and M. Loving). In preparation.​

4.