I am a PhD student at LSU working under the supervision of Dr. Milen Yakimov. My research interests are in noncommutative algebra, noncommutative algebraic geometry, and algebraic categorification. Specifically, my current work deals with:

- defining the prime (and completely prime, semiprime, and primitive) spectrum of a 2-category, which is a categorical version of the classical notion of the prime (and completely prime, semiprime, and primitive) spectrum of a noncommutative ring;
- investigating the role of the different categorical prime spectra in the context of algebraic categorification of noncommutative algebras;
- constructing a specific categorification of the quantized coordinate rings of Richardson varieties of arbitrary symmetric Kac-Moody algebras.

mail: kvasha1@lsu.edu

- Commutative Algebra and Representation Theory, November 8-11. 2018.
- MSRI Derived Categories summer school, June 25-July 6, 2018.
- Representation Theory, Mathematical Physics and Integrable Systems, June 4-June 8, 2018 (poster presentation).
- 2018 Spring Western Sectional Meeting of the AMS, Special Session on Noncommutative Algebraic Geometry and Related Topics, April 14-15, 2018 (invited talk).
- Recent developements in noncommutative algebra and related areas, March 17-19 (short presentation).
- 2017 Fall Central Sectional Meeting of the AMS, Special Session on Noncommutative and Homological Algebra, September 9-10, 2017 (invited talk).
- Algebra Extravaganza! in honor of Ellen Kirkman and Martin Lorenz, July 24-28, 2017 (poster presentation).
- Fourth Conference on Geometric Methods in Representation Theory, November 19-21, 2016 (invited talk).
- 8th Southeastern Lie Theory Workshop, October 9-11, 2015.

- Pasquale Porcelli Award for Graduate Academic Excellence, Louisiana State University Mathematics Department, Spring 2017.
- Board of Regents Fellowship, Louisiana State University, Fall 2016-Spring 2020.

- Teaching Assistant, Wake Forest University, Fall 2014-Spring 2016. Responsible for running problems sessions, grading papers, and one-on-one tutoring for the following classes: Calculus I, Calculus II, Linear Algebra I, Discrete Mathematics.

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