Robert Charles "Bob" Vaughan FRS (born 24 March 1945) is a British mathematician, working in the field of analytic number theory.

He read mathematics at University College London, earning a bachelor's degree with second class honours in 1966.

[1] He completed his PhD in 1970 at the University of London under supervision of Theodor Estermann.

He was promoted to reader in 1976 and professor in 1980, and headed the Pure Mathematics Section from 1988 to 1990.

[1] Vaughan was a 1979 recipient of the Junior Berwick Prize.