### Notes

I like to write notes for talks and self-study. Most aren't fit for public consumption, but a few that are have been linked below. Some notes are based closely on a single source, others multiple sources, and none of the ideas are my own. Please let me know if I have omitted an important reference. I hope there aren't too many mistakes.**Low-Dimensional Geometry and Topology**

Teichmuller's Theorems and the Nielsen-Thurston Classification

The 3-Dimensional Margulis Lemma from Matsuzaki and Taniguchi.

Gromov's Proof of Mostow Rigidity.

Notes on the Skinning Map I wrote for a talk at the joint Brown-Yale GATSBY seminar.

The Spectral Geometry of Riemann Surfaces from Buser's wonderful book.

Teichmuller Theory and the Statistics of Shape, a presentation from my talk at Brown's Math Slam 2016.

**General Geometry and Topology**

Some notes on connections.

Some notes on curvature.

The basics of symplectic geometry, Noether's theorem, and Lagrangian/Hamiltonian mechanics.

**Algebra**

The basics of Galois Cohomology.

An overview and proof of the Hilbert Syzygy Theorem.

**Logic**

An introduction to Non-Standard Analysis.