Seyfi Turkelli University of Georgia-Athens Department of Mathematics Athens, GA, 30602 turkelli [at] math [dot] uga [dot] edu

RESEARCH:

My research areas are arithmetic geometry and algebraic number theory. More precisely, I am interested in Hurwitz stacks--Moduli stacks of coverings of P^1, counting rational points on varieties, counting arithmetic objects, connection between Galois representations and automorphic forms.

Publications:

Average number of Cubic Fields of Prime of Discriminant, In progress.

The Dimension of the Space of Bianchi Modular Forms, with H. Sengun and N. Petrosyan.   In preparation.

Weight Reduction for Mod l Bianchi Modular Forms with Haluk Sengun,   Journal of Number Theory, Vol 129, Issue 8, 2009, 2010-2019.

Counting Multisections in Conic Bundles over a Curve defined over F_q,   Under revision.

Connected Components of Hurwitz Schemes and Malle's Conjecture ,   Under revision.

Splitting of Sharply 2-transitive Groups of Characteristic 3, Turk. J. Math., 28, (2004), 295-298

Reel D\"uzlemin Izometrileri (The classification of isometries of R^2) , Matematik D\"unyasi (Turkish Journal of Mathematics for high-school students), 2003, summer issue.

Dogrudan Sasmayan Donusumler (Maps of R^2 Sending Lines Onto Lines), Matematik D\"unyasi (Turkish Journal of Mathematics for high-school students), 2003, summer issue.

Surveys and Notes:

Finiteness Theorems in Arithmetic Geometry, (In progress)

Galois Cohomology ,   in "Proof of Fermat's Last Theorem" by Nigel Boston et. al., In preparation.

A Report on Tunell's paper: A classical diophantine problem and modular forms of weight 3/2, 2005.

Introduction to Galois Cohomology ,   A survey on Thesis Problem, MRI (The Netherlands), 2004. Advisor: Ieke Moerdijk

Homological Algebra Lecture Notes, as a co-author, MRI, 2004.

Sharply 2-transitive Groups, B.Sc. Thesis, Istanbul Bilgi University, 2003. Advisor: Ali Nesin

Presentations:

Counting Algebraic Numbers of Fixed Degree over a Global Field, AMS sessions, Boca Raton (2009, October)

Connected Components of Hurwitz Schemes and Malle's Conjecture, UGA-Athens number theory seminar (2009, September)

Homological Stability of Hurwitz Schemes, GTEM Conference on Moduli Stacks of Coverings, Istanbul (2009, June)

On Malle's Conjecture, University of Duisburg-Essen, Germany (2009, January)

Counting Algebraic Numbers with Fixed Degree, 2008 Western Number Theory Conference, Colorado State University, Fort Collins, CO (2008, December)

Connected Components of Hurwitz Schemes and Malle's Conjecture, GTEM/TUBITAK Summer School on Geometry and Arithmetic of Moduli Stacks of Coverings, Galatasaray University, Istanbul. (2008, June)

Connected Components of Hurwitz Schemes, FRG Workshop on Rationally Connected Varieties, The Courant Institute, New York University. (2007, March)

On Malle's Conjecture, Midwest Number Theory Conference for Graduate Students IV, UIUC (2006, October)

TEACHING: