Celestial Mechanics, Circumstellar Disk Morphology and Exoplanets

I extended theory for resonance capture to cover the non-adiabatic limit (2006). I developed a theoretical framework attempting to account for stability timescales in closely packed multiple planet systems (2011,2014). This work leverages three-body resonances. We explored numerically the dynamics of multiple planet systems in the presence of debris. We find that collisions between planets and embryos are needed to explain the architecture of compact planetary systems such as Kepler 36. A body of work uses parallel simulations on GPUs to do particle integration.