Math @ Duke

Oliver Gjoneski, Graduate Student
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)6602833  Email Address:     Starting Year: 
2005  Advisor(s): 
Leslie Saper  Thesis Title: 
MultiVariable 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 nontrivial coefficients.
These problems often lead to analytical considerations, such as studying Lfunctions 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 lowerdimensional deformation retracts invariant under the action of the arithmetic group. I am interested in how one can combine these two approaches, and compute EilenbergMacLane group cocyles obtained by integrating Eisenstein cohomology representatives over cells in these invariant spines.
 Recent Publications
 O. Gjoneski, Three Variable Period Polynomials associated to Cusp Forms,
in preparation
(2010)
 O. Gjoneski, Cohomology of GL_{4}(Z),
in preparation
(2010)
 O. Gjoneski, Degenerate Tilings and Invariant Spines,
in preparation
(2010)
 O. Gjoneski, K. Smith, On the nonexistence of a (176, 50, 14) difference set,
unpublished manuscript
(2005)
 Selected Talks
 MultiVariable Period Polynomials Associated to Cup Forms, January 06, 2011, Special Session on Quadratic Forms, AMS/MAA Joint Meetings, New Orleans, LA
 The Manin Code: Symbols in the world of Cusp forms and Hecke Operators, April 16, 2010, Algebraic Geometry Seminar, Duke University
 On the nonexistence of a (176,50,14) difference set, 2005, Special Session on Design Theory and Graph Theory, AMS/MAA Joint Meeting, Atlanta, GA


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

