After Sherborne, Turing studied as an undergraduate from 1931 to 1934 at King's College, Cambridge,[19] where he was awarded first-class honours in mathematics. In 1935, at the age of 22, he was elected a Fellow of King's College on the strength of a dissertation in which he proved the central limit theorem.[20] Unknown to the committee, the theorem had already been proven, in 1922, by Jarl Waldemar Lindeberg.[21]