Research Interests for Joseph A. Spivey

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.

Keywords:

moduli space, Riemann surface

Current projects:

"Twisted Cohomology of Hyperelliptic Mapping Class Groups"

Areas of Interest:

Algebraic Topology

Recent Publications

1. J.A. Spivey, J.Bookman, Approximating Definite Integrals (Summer, 2007) [html] [author's comments]