Most of my work is in hyperbolic geometry and low-dimensional topology, although I am also interested in combinatorial, measurable and geometric group theory, foliations, and manifolds of nonpositive curvature. Here is my CV.

I co-organize the Geometry/Topology seminar at Boston College.

On August 1-5, 2022 I am organizing a learning workshop on big mapping class groups with Jing Tao and Nicholas Vlamis.

I have advised the PhDs of Nick Vlamis, Tommaso Cremaschi, Cristina Mullican and Sangsan (Tee) Warakkagun. I'm currently advising Mujie Wang and Matthew Zevenbergen.

I am working on an online book Geometry in Two Dimensions that is suitable for students with only a multivariable calculus background. Currently, it discusses Euclidean, spherical and hyperbolic geometry, and touches on additional topics like scissors congruence, isoperimetric inequalities, and tilings.

Here are some scripts I wrote for an IBL Introduction to Proof course at Boston College, on logic, sets, induction, number theory, graph theory, functions and relations, and cardinality. If you want to use these notes for a class, email me and I'll send you the .tex files.

Here is a set of notes on ergodic theory that I wrote for a 2023 topics class. It also includes some applications to geometry, beginning with ergodicity of the geodesic flow on finite volume hyperbolic manifolds and ending with brief discussions of lattice point and curve counting, and the Kahn-Markovic surface subgroup theorem.