Dr Alexander-Williams' medical training started at The London Hospital where he also started his anaesthetic training. He continued as a Senior House Officer in Bury St Edmunds before starting as a Registrar in Leicester and the South Trent rotation.
Before becoming a Senior Registrar, Dr Alexander-Williams took a year out of clinical work to undertake research on novel routes of opiate administration and the effect of anaesthetic agents on respiratory function. As a Senior Registrar Dr Alexander-Williams spent a year sabbatical in Melbourne, Australia and as a consultant he spent a six month sabbatical in London learning intervention pain techniques.
Dr Alexander-Williams is interested in all challenging pain problems. Three quarters of the referrals he receives are for back pain and sciatica, and he is especially interested in integrating invasive techniques such as radiofrequency lesioning into a biopsychosocial model of care.