#### Notes and theses

## Algebraic Topology

Lecture notes for a two-semester course on Algebraic Topology. Topics covered include: the fundamental group, singular homology and cohomology, PoincarĂ© duality, fibrations.

## Communication in Mathematics

Work-in-progress lecture notes for a one-semester course on writing in Mathematical English.

## Differential Geometry

Lecture notes for a two-semester course on Differential Geometry. Topics covered include: smooth manifolds, vector bundles, differential forms, connections, Riemannian geometry.

## Dynamical Systems

Work-in-progress lecture notes for a two-semester course on Dynamical Systems. Topics covered include: topological dynamics, chaos theory, ergodic theory, hyperbolic and complex dynamics.

## Gauge Theory

Work-in-progress lecture notes from a Student Seminar on Gauge Theory and Donaldson's Theorem. All the notes were written by the seminar participants.

## Learning LaTeX

Work-in-progress! A short, opinionated and rather whimsical introduction to LaTeX, aimed primarily at undergraduate students.