Determining a second order approximation to diffusing vortex ring solutions arising from the Navier-Stokes equations with bounded remainder. Applying numerical analytic techniques and computing solutions in low to high Reynolds number settings. Working with Prof. Fraenkel FRS at the University of Bath.

Extending the analysis of two-dimensional water wave problems to aperiodic infinite surfaces that allow for overturning waves. This work is the culmination of the work found in Preston et al. (JIE 2008, IMA JNA 2010) and uses a novel partition of the boundary to allow a well-posed solution to be proven.

Extending the work of Pitchford et al. (MEPS 2003) and Preston et al. (Interface 2010), we are investigating the ideas surrounding larval fish foraging and stock recruitment as probabilistic models. The trade-offs between starvation, recruitment and predation are modelled as competing deterministic and stochastic energy sources and expenditures. We use Markov chains to predict growth patterns through a discrete energy level model. Working with colleagues at the University of York.

An exciting project that utilises unique, highly accurate spatial and temporal movement data for butterflies to understand mating, foraging and egg tending behaviours and predict gender differences. We are seeing significant gender differences and different modes of female behaviour that may relate to their different responsibilities. Working with colleagues at the University of York, University of Tennessee (US) and University of Nevada (US).

Investigating, through a combination of computational and probabilistic techniques, the stability properties of habitiat fragmentation and the effects of changes in the parameter space.