News and other bits of information
ESF Exploratory Workshop (Updated on January 9, 2012)
Together with Prof. Kanuni from Bogazici University, we got a grant from European Science Foundation for an exploratory workshop to be held between August 7 and August 10, 2012. The topic is set as Interfaces of Noncommutative Geometry with the Representation Theory of Hopf Algebras and Artin Algebras. You can find the workshop page here.
Random posts on Math and Computing (Updated on December 29, 2011)
Dec 29, 2011: During a conversation with a colleague I thought of an interesting probability question about the expected value of the length of the time interval in a time series in observing certain patterns. Here is the problem, its variations and my explanation and solution.
Dec 13, 2011: Here is a short take on categories, functors, monads and LISP language. Lately, I am thinking a lot about computing and abstract mathematics. What better opportunity to promote my favorite programming language LISP (my guilty pleasure!)
Brief description of my research
Mathematics
I do homological and homotopical algebra in the context of noncommutative geometry. You can find a detailed exposition of my past research, my present and future research interests in my research statement. Specifically I am interested in
- Hopf equivariant cohomology theories.
- Various flavors of Hochschild (co)homology, cyclic (co)homology and K-Theory
- Homological and homotopical invariants of (co)associative (co)algebras; Lie, Leibniz, Poisson (co)algebras; bialgebras and Hopf algebras.
- Operads, PROPs and their algebras.
And for the visually inclined, I have a map of my slanted view of the noncommutative geometry landscape.
Applied Statistics and History
Recently, with Prof. Boğaç Ergene at University of Vermont, we looked at social mobility patterns in 18th Century Ottoman Empire. While he provided the historical context and the analysis of the results we obtained, I did the necessary data processing and performed the statistical analyses needed for the particular data set Prof. Ergene painstakingly generated from historical sources and archives. In the process we used variety of tools such as as R, perl and awk to process and analyze the data. We wrote two papers together so far, with more to come in the future.