Notes $\def\Z{\mathbb Z} \def\Q{\mathbb Q} \def\Torelli{\mathcal I}$

Course Notes

The following are course notes. There is one short problem set per lecture designed to quickly check understanding. There is a longer one after every two lectures designed to more deeply reinforce understanding.

Teichmuller dynamics

Introductory dynamics and ergodic theory

Modules, fields, and Galois theory

Groups and rings

Linear algebra

Seminar notes

Margulis superrigidity and arithmeticity