Notes

Spectral Theory
Notes from lectures given in an undergraduate course on functional analysis in 2010 at the University of Chicago.
Schur-Weyl Duality
Representations of the Symmetric Groups
Notes from lectures given in an undergraduate course on representation theory in 2009 at the University of Chicago.
Northwestern Workshop and Conference on Topological Field Theories
Notes from the May 2009 conference on TFT.
Étale Cohomology Mini-Seminar
In the fall of 2008, I ran a learning seminar on étale cohomology. We primarily followed James Milne's Lectures on Etale Cohomology.
Representation Theory, Symmetry, and Quantum Mechanics
A talk given to undergraduates at the 2008 University of Chicago VIGRE REU.