Chris Bowman

Research

Overview

My research is focused on the connections between combinatorics, Lie theory, knot theory, and categorical representation theory.  I spend a lot of time thinking about symmetric groups, complex reflection groups and their Cherednik algebras, Kronecker coefficients, p-Kazhdan—Lusztig polynomials, and anti-spherical Hecke categories. 

I am happy to supervise PhD projects on diagrammatic and combinatorial aspects of representation theory and categorification, and Kazhdan—Lusztig theory in particular. What things might you have enjoyed in your undergraduate studies that would prepare you for this sort of project? Maybe some representation theory (perhaps that of symmetric groups or Coxeter groups or Lie algebras or Temperley—Lieb algebras) or some classical tableaux-theoretic combinatorics (such as the Littlewood—Richardson rule for symmetric polynomials). But simply having a general enthusiasm for algebra is plenty to start.

My personal website can be found here. 

Research group(s)

Algebra Research Seminar Group