Djamgoz was born in Nicosia, Cyprus, to a Turkish Cypriot family.[3] He emigrated to the United Kingdom in 1970 for his studies. Djamgoz studied at the Imperial College London, where he became a Professor of Neurobiology, and then Professor of Cancer Biology. His scientific consultancies and granting agencies include the Medical Research Council (UK) and the Wellcome Trust.[4][5] In 2002, Djamgoz established the Pro Cancer Research Fund as a registered charity which runs the Amber Care Centre, which is a drop-in centre for people affected by cancer.[6]