Joseph A. Spivey, Graduate Student

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

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

Education:

PhDDuke University2008
MSDuke University2005
BSEmory University2002
AAOxford College of Emory University2000
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) [html]  [author's comments]