Professor Graham received his training in medicine at the University of New South Wales (MB,BS Hons, 1972; MD, 1988), St. Vincent’s Hospital, Sydney and Sydney Hospital (FRACP, 1979) and the University of Texas Southwestern Medical School (UTSWMS), Dallas, Texas (FRCP, 1981). He was appointed as Assistant Professor, Department of Pharmacology, UTSWMS (Alfred Gilman, Chairman, Nobel Laureate) in 1978, and Associate Professor in Medicine, Cellular and Molecular Research Laboratory (Edgar Haber, Chairman), Massachusetts General Hospital and Harvard Medical School (1982).
In 1988, he undertook a sabbatical working with H. Gobind Khorana (Nobel Laureate) at the Massachusetts Institute of Technology. In 1989, he was appointed as Robert C. Tarazi Chairman, Department of Molecular Cardiology, Cleveland Clinic Foundation and Professor of Physiology and Biophysics, Case Western Reserve University School of Medicine, Cleveland, Ohio. After 17 years in the US, he returned to Australia in 1994 as the inaugural Executive Director of Victor Chang Cardiac Research Institute and Professor of Medicine at UNSW. In 2003, he was appointed the Des Renford Professor of Medicine at UNSW (2003).
A Fellow of the Australian Academy of Science (AAS; 2002), a Foundation Fellow of the Australian Academy of Health and Medical Sciences (2014), and a Foreign Member of the Royal Danish Academy of Sciences and Letters (2010), his research for many years has focused on molecular cardiology, with emphasis on circulatory control mechanisms, hypertension, receptor signalling and cardiac hypertrophy. More recently, his work has focussed on cardiac regeneration and cardioprotection, and spontaneous coronary artery dissection. He is the author of over 300 peer-reviewed papers that have received over 20,000 citations. He is co-founder and director of Infensa Bioscience Pty Ltd, and is currently the Vice-President of the Australian Academy of Science and Secretary of Biological Sciences.