At Cambridge he was taught by several mathematicians who were to have an important influence on him such as Philip Hall, Harold Davenport and G H Hardy . Hall returned to Yale where he was awarded his doctorate in 1936 for his thesis An Isomorphism Between Linear Recurring Sequences and Algebraic Rings which was supervised by Oystein Ore.
Sa Cambridge siya ay tinuturuan sa pamamagitan ng ilang mga mathematicians na ay upang magkaroon ng isang mahalagang impluwensiya sa kanya tulad ng Philip Hall, Harold Davenport at gh Hardy. Hall ibabalik sa Yale kung saan siya ay iginawad sa kanyang titulo ng doktor sa 1936 para sa kanyang tesis Isang Isomorphism Linear Pagitan ng paulit-ulit sequences at Algebraic Rings na kung saan ay supervised by Oystein Ore.