Kent Vashaw

About Me / Research

Me

Kent Vashaw

I am a PhD student at LSU working under the supervision of Dr. Milen Yakimov. My research interests are at the intersection of algebraic categorification, noncommutative algebra, representation theory, and tensor-triangular geometry. Specifically, I am interested in:

  • noncommutative analogues of Balmer's prime spectrum of a tensor-triangulated category;
  • the role of the different categorical prime spectra in the context of algebraic categorification of noncommutative algebras, including how new categorifications can be produced using prime spectra;
  • the role of the different categorical prime spectra in the context of derived categories of non-braided monoidal abelian categories, such as the category of bimodules for a noncommutative algebra.
An arxiv preprint of some of this work is available here. I did my Master's degree at Wake Forest University under the supervision of Dr. Ellen Kirkman, and my Master's thesis was in the area of noncommutative invariant theory, in particular the study of dual reflection groups, which arise in the search for a noncommutative version of the classical Shephard-Todd-Chevalley Theorem.

mail: kvasha1@lsu.edu

Activities

Me

Awards

Me

Teaching

Me

  • Instructor of Record, Louisiana State University, Fall 2018. Instructor of record for a five-hour section of Calculus I, responsible for lecturing, writing all quizzes, tests, and a final exam, and grading.
  • 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.
Powered by w3.css