Notes

Here, I will put notes for talks I have given and expository stuff I have written. Please send me an email if you find any typos! For research articles, click here.

Talk Notes and Slides

• Proof of the Ginzburg-Kazhdan Conjecture: Talk Notes - Expanded notes of a talk I gave at the Gone Fishing Conference at Northwestern in 2024.

• Categorical Representation Theory and the Coarse Quotient - Slides of a talk I gave in December 2021 in the representation theory seminars at the University of Toronto and Academia Sinica.

• Recovering Lie(G)-modules from the Weyl Group Action - Slides of a talk I gave in November 2020 in the Texas A&M Geometry seminar about my thesis, written for an audience of algebraic geometers.

• Beilinson-Bernstein Localization Theorem - Informal notes about the motivation and proof of the Beilinson-Bernstein Localization Theorem.

Graduate School Mini-Course Notes

• Representation Theory of Affine Kac-Moody Algebras and Quantum Groups

• Introduction to Representation Theory of Lie Algebras

• Primer on Algebraic Number Theory

Math Club Talk Notes

• Arrow's Impossibility Theorem - You can also check out a video of the talk here!

• A Simple Introduction to Complexity Theory

Other Writing

• What I Learned Today - In graduate school, I typed up a (largely) daily mathematical thing I learned.

• How to Run a Math Group - Featured in the December 2020 Notices of the AMS.

• What is a Scheme? - Featured in the December 2017 Notices of the AMS.

• AMS Graduate Student Blog - In graduate school, I was a regular contributor to the AMS graduate student blog.