Omar qualified in 2003 from the University of Glasgow, winning the prize for conservative dentistry as an undergraduate. In 2005, he became a practice principal and subsequently a vocational trainer with the responsibility of training newly qualified dentists. He was awarded the Diploma of Membership of the Faculty of General Dental Practitioners, Royal College of Surgeons of England in 2007 and the Diploma of Membership of the Faculty of Dental Surgery, Royal College of Physicians and Surgeons of Glasgow in 2008.

Whilst working in general practice, he undertook advanced training in restorative dentistry at the Eastman Dental Institute, completing the Certificate in Restorative Dental Practice. On completion of four years of specialist training in periodontics, he was awarded a Master's in Clinical Dentistry from King's College London and Membership in Periodontics from Royal College of Surgeons, Edinburgh. He previously worked at Guy's Hospital, London at a consultant level and undertakes all aspects of periodontal therapy including surgical, non-surgical, muco-gingival, crown lengthening and implant therapy. As well as providing periodontal care at the practice, he has a special interest in the association between periodontal disease and diabetes. In 2015, he received the Ron F. Wilson award from King's College London for clinical research and has presented his research internationally.

For a number of years, he has been an examiner for the Royal College of Surgeons, examining the Licence in Dental Surgery, the oldest continuously existing dental qualification in the United Kingdom.