From 1936 to 1941 Dyson was a scholar at Winchester College, where his father was Director of Music. At the age of 17 he studied pure mathematics with A. S. Besicovitch as his tutor at Trinity College, Cambridge (where he won a scholarship at age 15), and at age 19 he was assigned to war work in the Operational Research Section (ORS) of Royal Air Force Bomber Command, where he developed analytical methods for calculating the ideal density for bomber formations. to help the Royal Air Force bomb German targets during World War II. After the war, Dyson was readmitted to Trinity College, where he obtained a BA degree in mathematics. From 1946 to 1949 he was a fellow of his college, occupying rooms just below those of the philosopher Ludwig Wittgenstein, who resigned his professorship in 1947.