[7] (jt. wt. Pavel Etingof, Vasily Krylov and Ivan Losev) * Finite-dimensional representations and localization for quantized Gieseker varieties. * In preparation.

[6] (jt. wt. Eugene Gorsky and Monica Vazirani) * Hilbert schemes on singular curves via the Dunkl-Opdam subalgebra. * In preparation.

[5] * Harish-Chandra bimodules for type A rational Cherednik algebras. * Submitted. arXiv

[4] (jt. wt. Chris Bowman and Emily Norton) * Characteristic-free bases and BGG resolutions of unitary simple modules for quiver Hecke and Cherednik algebras. * Submitted. arXiv

[3] * Harish-Chandra bimodules over rational Cherednik algebras. * Adv. Math. ** 317** 2017, pp. 299-349. arXiv journal

[2] (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

[1] (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 [3] 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.

* Double affine Hecke algebras. * Notes for the MIT-NEU Graduate Student Seminar on Double affine Hecke algebras and elliptic Hall algebras, Spring 2017.

In March 2015, I was teaching assistant to Ivan Losev in a Masterclass on Quantized quiver varieties at QGM, Aarhus. As a teaching assistant, I gave some of the lectures. Here are videos of them.

In June 2019, I gave a 1-hour expository talk on the basics of the representation theory of rational Cherednik algebras during a Summer school on Geometric representation theory and Low-dimensional topology at ICMS, Edinburgh. Here is a video of it.