Students: Steve Curran, Andrew Dudzik
School: Rutgers University, University of Chicago
Research Area: Representation Theory
Project Name: The McKay Correspondence
Research Advisor: Christopher Woodward, Professor of Mathematics
Rutgers University

Project Goals

  • Understand the classification of finite subgroups of SU(2).
  • Understand the representations of these groups, and verify "by hand" the McKay correspondence.
  • What is a variety? What is a resolution of singularities? What is a Kleinian singularity?
  • What is a deformation of singularities?
  • What is a Dynkin diagram? How is it related to Lie algebras?
  • What is a quiver? What is a representation of a quiver?