Understanding precisely how to map a gravitational waveform to the source that generated it an essential part of gravitational wave astronomy and is necessary to make the best possible use of the data provided by current and future gravitational wave detectors such as LIGO, Virgo, KAGRA, Einstein Telescope, Cosmic Explorer and LISA. Generating such maps, which are called waveform templates, is the main research focus of Dr Trestini.
Dr Trestini main expertise is computing gravitational waveform templates entirely analytically within the post-Newtonian approximation, which assumes that the two compact objects orbit each other with a small relative velocity. More recently, and in collaboration with the Southampton Gravity Group, he has been interested in the orthogonal expansion in the small mass ratio between the two objects and how can these two expansions can inform each other and be hybridized.