Oliver Gjoneski, Graduate Student

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

Education:

MA in Mathematics	Duke University	2006
BA in Mathematics and Economics	Bates College	2005

Specialties:

Algebra
Topology
Geometry

Research Interests: Algebraic Groups, Algebraic Topology/Geometry, Langlands Program

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 O. Gjoneski, K. Smith, On the nonexistence of a (176, 50, 14) difference set, unpublished manuscript (2005)

Selected Talks

1. Multi-Variable Period Polynomials Associated to Cup Forms, January 06, 2011, Special Session on Quadratic Forms, AMS/MAA Joint Meetings, New Orleans, LA    
2. The Manin Code: Symbols in the world of Cusp forms and Hecke Operators, April 16, 2010, Algebraic Geometry Seminar, Duke University    
3. On the non-existence of a (176,50,14) difference set, 2005, Special Session on Design Theory and Graph Theory, AMS/MAA Joint Meeting, Atlanta, GA