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.