Quantum Field Theory, Lattice Gauge Theories, Computational Physics, Numerical Simulations, High Performance Computing.
Craig is an expert in precision lattice QCD calculations of the matrix elements required for particle physics experiments at the intensity frontier, such as LHCb or the Belle II experiment at the super B factory. As one example of his research, he has computed the mass of the charm and bottom quarks and the strong coupling of QCD with errors at the state of the art percent level. In 2013 he was invited to review lattice QCD calculations of the quark masses and the strong coupling at an international workshop in Singapore. He is a member of the HPQCD collaboration with members in the US, UK and Canada. Craig is also an expert in hadron spectroscopy. In particular he has performed many important lattice QCD calculations of novel bound states, such as glueballs and hybrid mesons. He has reviewed the field many times at international meetings. For example, in 2012 he presented two lectures on hadron spectroscopy at the Helmholtz Graduate School for Hadron and Ion Research in Germany.