Professor Burrage completed his PhD in Computational Mathematics from the University of Auckland in 1978. In his early academic years he was at the University of Auckland (NZ), the University of Sussex (UK), the University of Liverpool (UK). In 1991 he was appointed to the Chair of Computational Mathematics the University of Queensland. He established the Advanced Computational Modelling Centre at the University of Queensland in 1995 and was Director of that centre for 12 years. He was also the founding CEO of the Queensland Parallel Supercomputing Facility in 1999. He was awarded a Federation Fellowship of the Australian Research Council from 2003-2008. In 2008 he was made Professor of Computational Systems Biology in the Computational Biology group within both the Department of Computer Science and the Centre for Integrative Systems Biology at the University of Oxford. He had this position until October 2015. He shared his time between Oxford and as as Professor of Computational Mathematics at QUT, from 2010 until 2015. He continues in his role at QUT. He was made a Visiting Professor to the Department of Computer Science at the University of Oxford from 2016. His current research interests are in Computational Science and Computational Biology.

Professor Burrage has made very significant contributions in Computational Mathematics and Computational Systems Biology. He has co-authored over 200 research papers and has written one book on Parallel and Sequential methods for Ordinary Differential Equations (OUP 1995). In the last ten years he has made very significant contributions in the field of Computational and Systems Biology (with a focus on the role of noise in Biological systems in his Federation Fellowship). In this setting Professor Burrage has addressed challenging problems in genetic regulation and cellular kinetics through sophisticated stochastic multi-scaled modelling and simulation incorporating intrinsic and extrinsic noise.