Math @ Duke
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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)-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:
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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
- O. Gjoneski, Three Variable Period Polynomials associated to Cusp Forms,
in preparation
(2010)
- O. Gjoneski, Cohomology of GL4(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unpublished manuscript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
- Multi-Variable 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 non-existence of a (176,50,14) difference set, 2005, Special Session on Design Theory and Graph Theory, AMS/MAA Joint Meeting, Atlanta, GA
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dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
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Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
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