Background
Hall was born in Belfast, Northern Ireland.
Hall was born in Belfast, Northern Ireland.
He was awarded a Doctor of Philosophy degree for this work in 1950 supervised by Sir John Lennard-Jones at Cambridge University.
He independently from Clemens C. J. Roothaan discovered the Roothaan-Hall equations. He then lectured at Cambridge University as Assistant in Research in Theoretical chemistry. He was elected to a Fellowship at Street Johns College, Cambridge in 1953.
From 1955 to 1962 he lectured in Mathematics at the Imperial College, London.
In 1957-1958 he spent a year with Per-Olov Löwdin in Uppsala, Sweden. He became Professor of Mathematics at the University of Nottingham in 1962.
In 1982 he took early retirement from Nottingham University and was appointed an emeritus professor He moved in 1983 to Kyoto University, Japan, returning to Nottingham in 1988.
He has collaborated with (inter alia) A.T. Amos, K. Collard, and Doctorate. Rees.
He is now Emeritus Professor and Senior Research Fellow in the Shell Centre for Mathematical Education at Nottingham University. He has a Science Doctorate. degree from Cambridge University and an Honorary Doctorate. Engineering degree from Kyoto University. He received an honorary Doctor of Science from the National University of Ireland at Maynooth.
International Academy of Quantum Molecular Science]
He is a member of the International Academy of Quantum Molecular Science.