My research is focused on stability in the three-body problem and its application to problems in stellar and planetary dynamics. I have applied stability analysis to globular clusters in orbit around a galaxy, which has repercussions for the observed velocity dispersion profiles of Milky Way globular clusters. In addition to these projects I have recently become heavily involved with computational modelling of the interaction between stellar and gas dynamics.
The interaction between stars and an accretion disk in the galactic centre is important for determining the rates of high energy events, such as x-ray flares (or gravitational waves) coming from the tidal disruption of stars (or compact remnants). Also of great research interest is the role of stellar dynamics around massive black holes as the engines of active galactic nuclei and black hole growth during galaxy formation.