I received my B.S. in Mathematics and Physics from the University of California, San Diego in 2011. I am currently a graduate student at Purdue University advised by Ben McReynolds.  My research interests lie in the study of the geometry of non-positively curved spaces, with an emphasis on arithmetic manifolds.  I study the interaction of this geometry with the algebraic and group theoretic properties of their corresponding fundamental groups.

Click here for my CV (last updated 6/12/17). 

Papers, Preprints, and Projects

1) Locally Equivalent Correspondences. (with B. Linowitz and D. B. McReynolds). To appear in Ann. Inst. Fourier (Grenoble). Preprint available at arXiv:1505.04755.

2) Arithmetic Progressions in the Primitive Length Spectrum. Preprint available at arXiv:1602.01869.

3) 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). Preprint available at arXiv:1512.07285.

4) Areas of totally geodesic surfaces of hyperbolic 3-orbifolds (with B. Linowitz and D. B. McReynolds). Preprint available at arXiv:1707.03079.

5) Some new constructions of non-arithmetic lattices in real hyperbolic space. (with D. Fisher, J.-F. Lafont, and M. Stover). In progress.

6) Uniform sublattices in non-uniform lattices of the same rank. In progress.

Invited Talks

Upcoming Talks:

Past Talks:

Groups and Dynamics Seminar, University of Texas at Austin, April 2017.

Geometry Seminar, Arizona State University, March 2017.

Spring Topology and Dynamics Conference: Special Session in Geometric Toplogy, NJCU, March 2017.

Geometry Seminar, Indiana University, January 2017.

Geometry and Topology Seminar, Brown University, November 2016.

Graduate Student Seminar, Temple University, October 2016.

Geometry Seminar, Temple University, October 2016.

Geometry, Groups, and Dynamics Conference, Rose-Hulman Institute of Technology, September 2016.

Topology Student Workshop, Georgia Tech, June 2016.

2016 Eastern Illinois Integrated Conference in Geometry, Dynamics, and Topology, April 2016.

Topology Seminar, Ohio State University, March 2016.

Geometry, Groups, and Dynamics/GEAR Seminar, UIUC, September 2015.

Geometry Seminar, Purdue University, April 2015.

AMS Special Session: Interactions Between Geometry, Group Theory, and Number Theory, March 2015.