Fall 2023 Courses:
MTG 4212 College Geometry (see Canvas)
MAA 4226/5306 Advanced Calculus I (see Canvas)
Riemann Surfaces and Their Moduli Spaces. My interest here lies in studying the maps between Hurwitz spaces (which are spaces of branched coverings of the Riemann sphere sharing a common combinatorial description) and moduli spaces. I am also interested in the geometry and topology of the moduli spaces themselves, and in certain aspects of the uniformization problem.
Computer Visualization. In recent joint work with Anuj Srivastava, Washington Mio and others, we are applying ideas from differential geometry to problems in computer visualization.