Research
Applied mathematicians are omnivores: when we see an interesting phenomenon we develop tools to describe and understand it in the language of mathematics. My work falls under two broad themes, joined by a shared toolkit of large-scale simulation, stochastic modelling and statistical inference.
Quantum fluids and turbulence
Turbulence in superfluid helium and atomic Bose–Einstein condensates: vortex reconnections, Kelvin-wave cascades, coherent vortex bundles and the motion of point vortices in two dimensions, studied with vortex filament and Gross–Pitaevskii simulations.
[vortex filament method, Gross–Pitaevskii equation, Kelvin waves, vortex reconnections, thermal counterflow, point vortices, dipolar condensates, neutron stars]
Mathematical biology
How tree and plant diseases spread through landscapes, and how to fit stochastic epidemic models to sparse survey data, alongside collective animal motion, stem cell colonies and the spread of farming in Neolithic Europe.
[plant health, stochastic epidemic models, Bayesian inference, early-warning signals, diffusion models, oak processionary moth, flocking, Neolithic dispersal]