Graham qualified from the University of Bristol with Honours in 1979. He then spent 8 years in equine practice in Wendover, Newmarket, Arundel, and Oxfordshire including a stud season in New Zealand. Whilst in practice Graham studied for and gained a Certificate in Orthopaedics (CertEO) and a Diploma in Stud Medicine (DESM) from the Royal College of Veterinary Surgeons.  In 1987 he became a Lecturer in Equine Surgery and Reproduction at Glasgow University. Whilst at Glasgow, Graham obtained a PhD by thesis on Neonatal Foal Ophthalmology and a Fellowship of the RCVS by examination in 1994.  He then joined the University of Edinburgh as a Senior Lecturer in Large animal surgery in 1994.  In 1997 he became a member of the European College of Veterinary Surgeons (ECVS) by examination.  Graham then set up a private equine consultancy practice based on the Scottish Borders in 1998 and currently consults in clinics in Scotland and northern England, and occasionally in Europe.  He has furthermore been a Visiting University Equine Surgeon at Cambridge Veterinary School from 2007-2009 and in 2011.

Graham is interested in all areas of Surgery especially Orthopaedics and General Soft Tissue Surgery.  His interests however also include Diagnostic Imaging and Ophthalmology. Graham has been lecturing extensively across the UK and also in Europe and is an Editor for Equus Vetstream.  He has published over 60 refereed papers and book chapters and is one of the editors of the book ‘Clinical Equine Medicine, Surgery and Reproduction’.  Graham has furthermore been the team vet for the British Driving Team from 1994-2000 and for the British Dressage and British Vaulting Teams in 2002.  He was also a FEI veterinary delegate at the Athens 2004 Olympics.