I am interested in the topologies of moduli spaces of Riemann surfaces.
|Office Location:||224 Physics|
|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.