Office Location: | 021 Physics |
Office Phone: | (919)-660-2833 |
Email Address: | ![]() ![]() |
Starting Year: | 2005 |
Advisor(s): | Leslie Saper |
Thesis Title: | Multi-Variable Period Polynomials Associated to Cusp Forms |
Defense Date: | 2011/04/08 |
MA in Mathematics | Duke University | 2006 |
BA in Mathematics and Economics | Bates College | 2005 |
I am interested in studying the Cohomology of Arithmetic Varieties with non-trivial coefficients. These problems often lead to analytical considerations, such as studying L-functions making boundary contributions to the cohomology of these locally symmetric spaces. On the other hand, one can approach the problem as a topologist, and work with a cellular decomposition of lower-dimensional deformation retracts invariant under the action of the arithmetic group. I am interested in how one can combine these two approaches, and compute Eilenberg-MacLane group cocyles obtained by integrating Eisenstein cohomology representatives over cells in these invariant spines.