Robertson is one of the creators of the noted MacTutor History of Mathematics Archive along with John J. O'Connor. He has written over one hundred research articles, mainly in the theory of groups and semigroups. He is the author or co-author of seventeen textbooks.
Robertson obtained a Bachelor of Science degree at the University of St Andrews in 1965. He subsequently went to the University of Warwick where he received an M.Sc. degree in 1966 and a Doctor of Philosophy degree in 1968.
In 2015 he received together with his colleague O'Connor the Hirst prize of the London Mathematical Society for his work on the MacTutor History of Mathematics archive. His thesis on "Classes of Generalised Nilpotent Groups" was done with Stewart E. Stonehewer. 
He lives at home with his wife Helena, and his son David.
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