Teaching

Computational Mathematics

I lecture Prelims (first year) Computational Mathematics and Constructive Mathematics. I think the lecture notes for Computational Mathematics are a nice introduction to Python for mathematicians; check out the automated derivation of the equations of motion for the planets of our solar system from the Hamiltonian in Chapter 13.

Finite Element Methods for Partial Differential Equations

In previous years I lectured the C6.4 Finite Element Methods for PDEs course for Part C (fourth-year), MSc, and DPhil students. The video lectures, lecture notes, and lecture slides are publicly available.

Numerical Bifurcation Analysis

Here are some lecture slides on numerical bifurcation analysis I gave at the 2023 Kácov school.

Solving Partial Differential Equations with Firedrake

Here are some lecture slides on solving PDEs with Firedrake I gave at ICERM in 2024. Some of the codes are available in this github repository.