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