Contact:
PMA 13.156
2515 Speedway
Department of Mathematics
University of Texas at Austin
Austin, TX 78712
gannonth@math.utexas.edu
Here I will put notes for talks I have given, and expository stuff that I have written. Please send me an email if you find any typos! For research articles, click here.
Notes
- 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 an upcoming preprint.
- Beilinson-Bernstein Localization Theorem. Informal notes prepared for my candidacy talk, which was about the motivation and proof of the Beilinson-Bernstein localization theorem.
Mini Courses
- Representation Theory of Affine Kac-Moody Algebras - In Progress!
- Introuduction to Geometric Langlands
- Introuduction to Representation Theory of Lie Algebras
- Primer on Algebraic Number Theory - This course was given in a "flipped classroom" format where the exercises were given in the classroom.
Math Club Talks
- Arrow's Impossibility Theorem - You can also check out the video of the talk here!
- A Simple Introduction to Complexity Theory
Other Writing
- What I Learned Today. Each day, I type up a mathematical thing I learned. Updated the first Tuesday of every month!
- Math, Etc. A blog where I post expository math topics at various levels that I like.
- Notes on Algebra Prelims. At my first semester at UT, I decided to type notes to help me study for the Algebra II prelim exam at UT. This list includes notes on many of the topics of elementary Field/Galois Theory, as well as a large number of sample exam questions answered. Of course, if you are a current UT student looking to take this test, you are strongly advised not to look at a given solution until you have put a significant amount of time into the problem!
- AMS Graduate Student Blog. I am a regular author for the Graduate Blog for the AMS. My post, "What is a Scheme?" was featured in the December 2017 Notices of the American Mathematical Society here!
Etc.
- Math Facts. I run a Twitter account which posts daily math facts!
- UT Fantasy Fantasy Football. I am the founder and commissioner of the UT Fantasy Fantasy Football League.
- I would like to thank Richard Wong for graciously allowing me to copy his site's layout and style.