From 1964 to 1968 Baker was a research fellow at Cambridge, then becoming Director of Studies in Mathematics, a post which he held from 1968 until 1974 when he was appointed Professor of Pure Mathematics.
Mula 1964-1968 Baker ay isang pananaliksik kapwa sa Cambridge, pagkatapos ay naging Director ng Pag-aaral sa Mathematics, isang post na kung saan siya ay gaganapin mula 1968 hanggang 1974 kung kailan siya ay hihirangin ng Professor Ganoon Mathematics.