Theoretical quantum electrodynamics, especially quantum optics and low temperature physics. His current work is centered around three areas. The first field of interest involves atomic physics, including laser cooling and trapping, spectroscopy and scattering theory. The second area of focus is nanomechanics, especially quantum machines, the manipulation of small objects with singular optics, and light-matter interfaces. The third subject of research is superconductivity, in the context of quantum computation, optical interactions in superconductors, and detectors.