Y. Firat Celikler's Homepage

      Firat's Picture


Assistant Professor
Department of Mathematics, Room: Namm 724
New York City College of Technology - CUNY
300 Jay Street, Brooklyn NY 11201



Spring 2009 Teaching
: MAT 1175,  TTh 2:15 - 3:55 Namm 705
                                         MAT 1175,  TTh 4:05 - 5:45 Namm 619

Office Hours: Tuesdays 1:15 - 2:15, Thursdays 5:45 - 6:45



Mathematical Biography:

I work in an area which combines Analytic Geometry, Model Theory and Commutative Algebra. My primary interests lie in the study of analytic theories of valued fields. For me the source of analytic functions is power series from certain rings and the questions I have been trying to answer are usually geometric in nature. More precisely, I am interested in geometry of various sorts of definable sets over such fields. I also investigate algebraic properties of various power series rings and look into questions of model theoretic flavor about valued fields. I got my PhD from 
Purdue University in 2005 and my advisor is Leonard Lipshitz. If you are interested in history and in no great hurry to get back to work, you can trace my other mathematical ancestors here.

I was a visiting assistant professor at East Carolina University between 2005 and 2007 and still fondly remember the nice weather of eastern North Carolina. My so far only colloborator Zach Robinson is at ECU. Since 2007 I have been an assistant professor at New York City College of Technology which is a part of the CUNY system. CUNY has a very active group in logic and if you are in town and interested, you should definitely drop by during one of our meetings.



Publications:

Dimension theory and parameterized normalization for D-semianalytic sets over non-Archimedean fields, Journal of Symbolic Logic, vol 70 (2005), no. 2, 593 - 618, pdf

Quantifier elimination for the theory of algebraically closed valued fields with analytic structure, Mathematical Logic Quarterly, vol 53 (2007), no. 3, 237 - 246, pdf

Parameterized stratification and piece number of D-semianalytic sets, Journal für die reine und angewandte Mathematik, vol 615 (2008), 211 - 241, pdf

Algebraic properties of separated power series, Mathematische Zeitschrift, vol 259 (2008), no. 3, 681 - 695, pdf

On some definable sets over fields with analytic structures, Submitted, pp 26, pdf



Ongoing Work:

Smooth points of quantifier-free definable sets, joint with Zachary Robinson

Uniform Artin-Rees lemma for modules over non-Archimedean fields with bounded norm, joint with Zachary Robinson

Parameters and Primes in Power Series Rings



Other:

My hometown is Ankara, Turkey. I truly believe it is a very pleasent city, but I am biased as I lived there until I graduated from Bilkent University, Department of Mathematics.

If you are a turkish speaker, you may want to check  Taraf Gazetesi for news and editorials. I think they do a great job.

Gultiest pleasure of mine is the card game Bridge. If you are still looking for a way to kill time, you may want to check Bridge Base Online.