My research interests are in hyperbolic geometry and arithmetic groups.
(with Alexander Kolpakov) A hyperbolic counterpart to Rokhlin's cobordism theorem.
Virtually special embeddings of integral Lorentzian lattices. (submitted)
(with Stephan Tillmann) Reflections on trisection genus. (submitted)
Special subgroups of Bianchi groups. (to appear in GGD)
Essential surfaces and intersections in the character variety. AGT, Vol. 17, 5 (2017) (arxiv)
(with Han Li) Small generators of Arithmetic Fuchsian groups. PAMS, Vol. 144, 12 (2016). (arxiv)
(with C. Adams, T. Crawford, S. Jensen, K. Siegel, L. Zhang) Stick index of knots and links in the cubic lattice. JKTR, Vol. 21, No. 5 (2012). (arxiv) (Williams College SMALL REU)
PhD Thesis: Quantifying virtual properties of Bianchi groups. (2018) (supervised by Alan W. Reid at the University of Texas at Austin)
Undergraduate Thesis: Hyperbolic 3-Manifolds as Discretized Configuration Spaces of Simple Graphs. (2011) (supervised by Aaron Abrams at Emory University)
I am not teaching during the 2018-2019 academic year.