Department of Mathematics, Florida State University

PhD, Cornell University, 1987

Telephone:

URL : http://www.math.fsu.edu/~klassen/

**Spring 2020 Course:**

MAA4227/MAA5307 Advanced Calculus II

- Shape Analysis
- Statistics on Manifolds
- Differential Geometry
- Topology
- Knot Theory
- Global Analysis
- Lie Groups
- Riemann Surfaces

**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.