My main research interest is mathematical modelling of real-world systems, in a wide range of application areas from engineering to the life sciences. I am an expert in the theory and computation of nonlinear dynamical systems, especially those that are nonsmooth.
Current research problems include:
- Hearing mechanisms in mammals and insects,
- Collective behaviour of insect swarms,
- High-speed atomic force microscopy,
- Temperature-mediated architectural adaptations of plants,
- Noise and vibration in gearboxes and other mechanical systems,
- Cellular dynamics of intestinal crypts,
- AMR in gonorrhoea,
- Dynamical systems approaches to complexity sciences,
- Smart materials.