I do research in

(i) geophysical fluid dynamics, including rotating stratified flows, rotating hydraulics, coastal outflows, geophysical vortices and topographic effects on geophysical flows. For example, collaborative work with Ted Johnson has lead to the development of analytical and numerical methods capable of computing vortex motion in complex domains e.g. barriers with gaps, multiple islands.

(ii) complex variable methods applied to 2D free-boundary problems. This includes vortex dynamics, Loewner evolution, Hele-Shaw flows and Laplacian growth, industrial coating problems, and pattern formation in nature.