Graham served as Chairman of the Department of Chemistry at Oxford University. Throughout his career, he has been involved in the commercialization of technologies where he was a director of the University of Oxford’s technology transfer company. He was also involved with the Wellcome Trust in a similar capacity. He co-founded Oxford Molecular Group plc, InhibOx Ltd. and Oxford Drug Design Ltd. He was a main board director, now venture partner, of IP Group plc, the listed intellectual property commercialization company.