GME Programs Graduate Medical Education GME Programs Overview The University of Kentucky offers physician training programs in most medical and surgical specialties, and also offers training programs in dentistry, oral and maxillofacial surgery, pharmacy, optometry, pastoral care, medical physics, and health administration. Lexington See Residencies and Fellowships in Lexington, Kentucky. Learn More Bowling Green See Residencies and Fellowships in Bowling Green, Kentucky. Learn More Hazard See Residencies in Hazard, Kentucky. Learn More Morehead See Residencies in Morehead, Kentucky. Learn More