Background
Allan was born on 13 August 1936 in Southgate, Middlesex, England.
Allan was born on 13 August 1936 in Southgate, Middlesex, England.
After serving in the Royal Air Force from 1955 to 1957, he entered Sidney Sussex College, Cambridge, and continued at Cambridge for his graduate studies, receiving a Doctor of Philosophy in 1964 under the supervision of Frank Smithies.
He was Reader in Functional Analysis and Vice-Master of Churchill College at Cambridge University. Allan spent most of his career at Cambridge, with interludes as a Lecturer in Pure Mathematics at Newcastle University from 1967 to 1969 and as Professor of Pure Mathematics at the University of Leeds from 1970 to 1978. Back at Cambridge, he was promoted to Reader in 1980 and was Vice-Master of Churchill College from 1990 to 1993.
Allan supervised the theses of over 20 Cambridge Doctor of Philosophy students.
He retired in 2003, but continued teaching after his retirement. He died on 9 August 2007 in Cambridge.
He contributed to section III.86 in the book The Princeton Companion to Mathematics edited by Timothy Gowers, but not lived to see his article "The Spectrum" in print form published in 2008.