My principal research interests lie in: (1) Cosmology, especially the statistical analysis of galaxy redshift and peculiar velocity surveys, calibration of the extragalactic distance scale and Bayesian and robust statistical methods for estimating cosmological parameters; (2) Gravitational wave astronomy, particularly compact binary coalescences and their potential use as cosmological distance indicators, and a Bayesian approach to time delay interferometry for LISA; (3) A wave-mechanical approach to the numerical modelling of large scale structure formation and evolution; (4) Applications of gravitational microlensing, including diagnosis of planetary and stellar atmospheres, circumstellar envelopes and stellar winds, and the impact of Shapiro delay on the absolute calibration of pulsar timing; (5) Radio astronomy with the Square Kilometre Array.

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