Joseph A. Spivey, Graduate Student

I am interested in the topologies of moduli spaces of Riemann surfaces.

Please note: Joseph has left the Mathematics department at Duke University; some info here might not be up to date.

Contact Info:

Office Location:	224 Physics
Office Phone:	919-660-2877
Email Address:
Web Page:	http://www.math.duke.edu/~jaspive/

Education:

PhD	Duke University	2008
MS	Duke University	2005
BS	Emory University	2002
AA	Oxford College of Emory University	2000

Specialties:

Topology

Research Interests: Algebraic Topology

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.

Areas of Interest:

Algebraic Topology

Keywords:

moduli space • Riemann surface

Recent Publications

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