I am interested in the topologies of moduli spaces of Riemann surfaces.
Office Location: | 224 Physics |
Office Phone: | 919-660-2877 |
Email Address: | |
Web Page: | http://www.math.duke.edu/~jaspive/ |
PhD | Duke University | 2008 |
MS | Duke University | 2005 |
BS | Emory University | 2002 |
AA | Oxford College of Emory University | 2000 |
Current projects: "Twisted Cohomology of Hyperelliptic Mapping Class Groups"
I am interested in the topologies of moduli spaces of Riemann surfaces. Right now I am working to understand more about the moduli space of hyperelliptic Riemann surfaces of a fixed genus. The fundamental group of this moduli space carries a lot of information about the shape of the space. I am studying this mapping class group via its action on the lower central series of the fundamental group of a reference surface.