## Notes

These are notes transcribed from classes I have taken. Credit for the material should go entirely to those who taught the courses; errors in the notes are entirely my own (I would be very grateful to be notified of any errata.)

**Summer 2016 updates:**
(as of July 2) Teichmüller Theory notes have been updated with diagrams;
(as of August 23) Geometric Group Theory notes have been updated with diagrams and hyperlinked references.

- [pdf] “Representation Theory of Lie Groups and Lie Algebras.”

From MAT 449 (Topics in Algebra), taught by Sophie Morel at Princeton in Fall 2013. - [pdf] “Topology of Algebraic Links.”

From MAT 469 (Advanced Topology), taught by András Némethi at Princeton in Spring 2014. - [in preparation] “Train Tracks: Automorphisms of Free Groups and Surfaces.”

From a NSF-RTG course taught by Mladen Bestvina at the University of Utah, July 7-18 2014. - [pdf] “An Introduction to Geometric Group Theory.”

From MATH 697, taught by Richard Canary at Michigan in Fall 2014. - [pdf] “An Introduction to Teichmüller Theory.”

From MATH 697, taught by Richard Canary at Michigan in Fall 2015. - [potentially in preparation] "Geometric Group Theory."

Notes from a MSRI Summer Graduate School, Summer 2015.

## Other Expository Writings

I try to jot down notes and waffle about things I learn and read about on a mathematical blag.