I am a fifth year Ph.D. student at Northeastern University working under the supervision of Ivan Losev . Here is my CV
I am interested in representation theory. I have been working with Harish-Chandra bimodules over rational Cherednik algebras. These are analogous to the corresponding notion in Lie theory, although the methods and results turn out to be quite dissimilar. Presently, I am studying HC bimodules from the perspective of quantized symplectic resolutions.
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)
*Following Latin American traditions, my last name is made of two components and it is "Simental Rodríguez". I normally use just 'Simental' to avoid confusions, and because I don't like my hyphenated last name.
In preparation: Harish-Chandra bimodules for quantized quiver varieties.
 Harish-Chandra bimodules over rational Cherednik algebras. Submitted. .pdf arXiv
 (jt. wt. Joseph Mastromatteo, Chris Holston and Sergio López-Permouth) An alternative perspective on projectivity of modules. Glasg. Math. J. 57 (01) 2015, pp. 83-99. .pdf arXiv journal
 (jt. wt. Sergio López-Permouth) Characterizing rings in terms of the extent of the extent of the injectivity and projectivity of their modules. J. Algebra 362 2012, pp. 56-69. arxiv journal
Not intended for publication: Harish-Chandra bimodules for quantizations of type A Kleinian singularities. After writing this paper, I found a much easier proof of the main result (which has a gap here in Prop. 5.2 anyways) that is now written in Section 5 of  above. However, some other results here may be of independent interest. .pdf
D-modules on flag varieties and localization of g-modules. Notes for the MIT-NEU Graduate Seminar on Quantum Cohomology and Representation theory, Fall 2013.
Rational Cherednik algebras of type A. Notes for the MIT-NEU Graduate Seminar on Quantum Cohomology and Representation Theory, Spring 2014.
Cluster algebras and Quantum affine algebras. Notes for a talk given for the course "Cluster algebras", taught by Dylan Rupel, Spring 2014.
Introduction to type A categorical Kac-Moody actions. Notes for the MIT-NEU Graduate Seminar on Hecke algebras and Affine Hecke algebras. Fall 2014.
Introduction to Geometric Invariant Theory. Notes for the MIT-NEU Graduate Student Seminar on moduli of sheaves on K3 surfaces. Spring 2016.
Notes on Tannakian Categories. Notes for a talk given for the course "Differential equations and Quantum groups", taught by Valerio Toledano Laredo, Spring 2016.
D-modules and the Riemann-Hilbert correspondence. Notes for the MIT-NEU Graduate Student Seminar on Hodge Modules, Fall 2016.
Spring 2014. Math 1215: Mathematical thinking. Syllabus. Student Evaluations.
Summer 2014. Math 1231: Calculus for Business and Economics. Syllabus. Student Evaluations.
Fall 2015. Math 1215: Mathematical thinking. Syllabus Student Evaluations.