My research interests are in hyperbolic geometry and arithmetic groups.
(with Alexander Kolpakov) A hyperbolic counterpart to Rokhlin's cobordism theorem. (submitted)
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)
In Fall 2019 I am teaching Math 210: Calculus III.
Office hours: Monday 12-1pm, Tuesday 2-3pm at MSLC
I am an NSF Postdoc and Research Assistant Professor at the University of Illinois at Chicago. Prior to UIC, I was an NSF Postdoc at UC Santa Barbara and a graduate student UT at Austin, supervised by Alan Reid.
office: UIC Science and Engineering Offices 616