Chris Bowman

Profile

Biography

I was an undergraduate at York, then a PhD student at Cambridge, and had postdoctoral positions at Paris and London, supported by ANR and the Royal Commission for the Exhibition of 1851.  I then had a lectureship at Kent, before returning to York in 2021.  My research is currently supported by EPSRC early career fellowship EP/V00090X/1

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