I am a Krener Visiting Assistant Professor (postdoc) at UC Davis, where my mentor is Eugene Gorsky .
I am interested in representation theory and its connections to algebraic geometry and combinatorics.
I finished my Ph.D. in 2017 at Northeastern University, under the supervision of Ivan Losev. For my Ph.D. thesis, I studied Harish-Chandra bimodules for rational Cherednik algebras. Please find it here.
During my Masters, advised by Sergio López-Permouth , I have worked with questions regarding relative injectivity of modules over a general (associative, with unit) ring. In particular, we found necessary and sufficient conditions for a class of modules to be the injectivity domain of a module. However, it has been a while since I don't think of this stuff.
For my bachelor's thesis at Universidad Nacional Autónoma de México (UNAM), done under the supervision of Michael Barot, I classified those 2-connected quivers whose path algebra arises as the endomorphism algebra of a module over the algebra of upper triangular n × n-matrices for some n . Here is a link to it. (110 pp, in Spanish)