# Talks

An incomplete collection of talks

The following is a collection of lecture notes or slides from various talks I have given, on both my own research and other topics:

**Zero-curvature formulation for novel 2d field theories**: Talk at the Cornell algebraic geometry seminar on my integrable harmonic map equations project. (pdf)**Fourier Transforms and Physical Dualities**: Talk at the UIC geometry, topoloy and dynamics seminar on my self-dual geometric Langlands project. Heavily annotated with presentation-specific notes. (pdf)**The Self-Duality Equations on a Riemann Surface**: Series of two lectures given at PCMI on Hitchin’s paper of the same name, in preparation for Laura Schaposnik’s advanced course on Higgs bundles. (pdf)**Introduction to Mirror Symmetry**: Talk given at the 2016*Superschool on Derived Categories and D-branes*. (pdf)**The Grothendieck Spectral Sequence**: Talk given for the 2017 UT Austin minicourse on spectral sequences. (pdf)