Hoyle started research work under Peierls shortly before Peierls moved from Cambridge to Birmingham in 1937. The record does not show whether Peierls was his official Ph.D. supervisor after the move, but he worked under Peierls's guidance, hitch-hiking to Birmingham when necessary for consultation. There is correspondence from that period, and also later in connection with a joint paper, and, in 1947, comments on a paper by C. Domb. The sequence is not complete and most of Hoyle's letters are not dated.