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Oliver Gjoneski, Graduate Student

Oliver Gjoneski

Please note: Oliver has left the Mathematics department at Duke University; some info here might not be up to date.

Contact Info:
Office Location:  021 Physics
Office Phone:  (919)-660-2833
Email Address: send me a message
Starting Year:   2005  
Advisor(s):   Leslie Saper
Thesis Title:   Multi-Variable Period Polynomials Associated to Cusp Forms  
Defense Date:   2011/04/08  


MA in MathematicsDuke University2006
BA in Mathematics and EconomicsBates College2005

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 O. Gjoneski, K. Smith, On the nonexistence of a (176, 50, 14) difference set, unpublished manuscript (2005)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
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320