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**- O. Gjoneski,
*Three Variable Period Polynomials associated to Cusp Forms*, in preparation (2010) - O. Gjoneski,
*Cohomology of GL*, in preparation (2010)_{4}(Z) - 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*On the nonexistence of a (176, 50, 14) difference set*, unpublished manuscript (2005)

- O. Gjoneski,

**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