Dr Wragg graduated in 1976 from the University of Queensland Medical School with First Class Honours, and was awarded the University Medal.
Subsequently, after extensive training in General Surgery, Cardiothoracic Surgery, and Vascular Surgery, and gaining an FRACS (Fellow of the Royal Australasian College of Surgeons), he practised as a Thoracic and Vascular surgeon for over 30 years. During this time, he was very active in the development of Thoracoscopic surgery - major surgery in the chest done via "keyhole" techniques. This was in conjunction with two surgeons in the USA. He also became involved in Endovascular surgical techniques starting in 1990, and was one of the first, early members of the International Endovascular Society.
Upon retiring from clinical practice (the time to stop is when people say "Already??" and not when they say "At last!!"), he commenced at the University of Queensland in order to generate and run the new, revamped Clinical Anatomy course for the Medical students. He also runs the Advanced Surgical Anatomy Course for post-graduate doctors who are starting their training in surgery or radiology.
In addition to his work at the university, he also acts on a consulting basis for one of the world's leading medical device companies.