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