 While Regius Professor he also served for eight years as the Head of the Department of Mechanical Engineering.His main field of research is manufacturing; his research outcomes are published in journals including the Proceedings of the Institution of Mechanical Engineers, Proceedings of the Royal Society, the Journal of the Institute for Mathematics and its Applications, and, latterly, in the Journal of Bone and Joint Surgery.McGeough's books include "Principles of Electrochemical Machining" (1974), "Advanced Methods of Machining" (1988), "Micromachining of Engineering Materials" (editor, 2001) and "The Engineering of Human Joint Replacements" (2013).