Research Interests for Oliver Gjoneski

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.

Recent Publications

1. O. Gjoneski, Three Variable Period Polynomials associated to Cusp Forms, in preparation (2010)
2. O. Gjoneski, Cohomology of GL₄(Z), in preparation (2010)
3. O. Gjoneski, Degenerate Tilings and Invariant Spines, in preparation (2010)
4. O. Gjoneski, K. Smith, On the nonexistence of a (176, 50, 14) difference set, unpublished manuscript (2005)