Y. Firat Celikler's Homepage
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.