Moffat is currently Professor of Physics at the University of Aberdeen, where he studies quantum gravity. He has published 135 articles. He is a recipient of the Napier Medal in Mathematics and the President’s Medal of the ORS; the 'nobel medal in analytics'. He is also a Fellow of OR, a Fellow of the Institute of Mathematics and its Applications, and a Chartered Mathematician. His contributions to the literature cited 560 times include new theories for Loop Quantum Gravity based on the Mathematics of Operator Algebras.
