Dr. Cristian Vay

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I am Professor at Facultad de Matemática, Astronomía, Física y Computación of Universidad Nacional de Córdoba, and a Researcher at CIEM - CONICET in the framework of the Grupo de Teoría de Lie. I form part of the Editorial Board of Communications in Algebra.

My PhD advisor was Nicolás Andruskiewitsch (2007-2012). Also, I received a Sandwich PhD Fellowship (2010) for studying at University of Antwerp under the supervision of Fred Van Oystaeyen. I carried out a research stay (2017) in the Laboratoire de Mathématiques Blaise Pascal where I was working together with Simon Riche and learning about Geometric Representation Theory, Derived categories, Diagrammatic categories, Koszul duality, etc. Also, I performed a research stay (2019) in the Instituto de Matemática de la Universidad de Sevilla collaborating with Luis Narváez.

I am interested in Hopf algebras and Nichols algebras. I study their classification and their representation theory. In this framework, my favorite algebras are the Fomin-Kirrilov algebras \(FK_n\) and the generalized small quantum groups. Two paradigmatic problems are surrounding my works and involve these algebras. First, it is not known whether or not the Fomin-Kirillov algebras are finite or infinite dimensional for \(n \geq 6\). Second, most of my recent works are about the representation theory of generalized small quantum groups. In the examples, I have observed that the Hilbert series of their simple modules are palindromic and I would like to verify if this property holds true in general.

See also my profiles in arXiv, Google Scholar, MathSciNet, ResearchGate and zbMATH.

seminario de lie