Between 1982 and 1995, MacKay held postdoctoral research positions at Queen Mary College, London,[4] the Institut des Hautes Etudes Scientifiques, and the University of Warwick. From 1995 to 2000 he was Professor of Nonlinear Dynamics in the Department of Applied Mathematics and Theoretical Physics at the University of Cambridge, Director of the Nonlinear Centre, and Fellow of Trinity College. In 2000 he returned to Warwick as Professor of Mathematics and Director of Mathematical Interdisciplinary Research.
MacKay was born to Donald MacCrimmon MacKay and Valerie MacKay (née Wood) in 1956.[3] His younger brother David J. C. MacKay FRS was the Regius Professor of Engineering at the University of Cambridge.