I study the connection between topology and geometry among low-dimensional manifolds, particularly those of dimension two or three. For example, I have recently worked on classifying hyperbolic 3-manifolds with totally geodesic boundary and very low volume. I am also interested in related questions from algebraic geometry, geometric group theory, and the study of geometric flows, among others.
Office Hours:
Fall Term 2019
Monday 2:00 PM - 3:00 PM, Tuesday 3:00 PM - 4:00 PM, Thursday - 10:00 AM - 12:00 PM
Education & Training
- PhD, University of Texas at Austin