Department of Mathematics
University of Chicago
5734 S. University Ave.
Chicago, IL 60637
Office: Eckhart 309
Phone: 773-702-5096
E-mail: mcgerty at math uchicago edu
I am currently a Royal Society Research Fellow at Department of Mathematics at Imperial College London.
My research is in geometric representation theory- more specifically I am interested in Weyl groups, constructible sheaves/functions and quantum groups. Most recently I have been working on quantum groups at a root of unity and the quantum Frobenius homomorphism. This is my CV, and a brief outline of some of the things I have been thinking about is here.
Notes on character sheaves: pdf, a somewhat more sophisticated outline of some aspects of character sheaves - typos probably abound.
Some notes from undergraduate courses that I have taught:
Classical Groups, notes.: this course gave an elementary discussion of the Classical groups, focusing on the general linear group.
Integration in R^n, notes: these notes give an account of Riemann Integration in R^n, getting as far as an elementary discussion of the integration of differential forms on surfaces.
Surfaces in R^n, notes: these notes describe the theory of manifolds embedded in R^n up to Stokes' theorem.