Alexander Murray Macbeath (30 June 1923

Glasgow Glasgow ( ; sco, Glesca or ; gd, Glaschu ) is the most populous city in Scotland and the fourth-most populous city in the United Kingdom, as well as being the 27th largest city by population in Europe. In 2020, it had an estimated pop ...

– 14 May 2014

Warwick Warwick ( ) is a market town, civil parish and the county town of Warwickshire in the Warwick District in England, adjacent to the River Avon. It is south of Coventry, and south-east of Birmingham. It is adjoined with Leamington Spa and W ...

) was a mathematician who worked on

Riemann surface In mathematics, particularly in complex analysis, a Riemann surface is a connected one-dimensional complex manifold. These surfaces were first studied by and are named after Bernhard Riemann. Riemann surfaces can be thought of as deformed ve ...

Macbeath surface In Riemann surface theory and hyperbolic geometry, the Macbeath surface, also called Macbeath's curve or the Fricke–Macbeath curve, is the genus-7 Hurwitz surface. The automorphism group of the Macbeath surface is the simple group PSL(2,8), cons ...

s and

Macbeath regions In mathematics, a Macbeath region is an explicitly defined region in convex analysis on a bounded convex subset of ''d''-dimensional Euclidean space \R^d. The idea was introduced by and dubbed by G. Ewald, D. G. Larman and C. A. Rogers in 1970. ...

are named after him.

Early life and education

Macbeath was the son of Alexander Macbeath, a philosopher and logician who took a position at

Queen's University Belfast , mottoeng = For so much, what shall we give back? , top_free_label = , top_free = , top_free_label1 = , top_free1 = , top_free_label2 = , top_free2 = , established = , closed = , type = Public research university , parent = ...

in 1925, soon after Murray was born. Murray also studied at Queen's University, where he earned a B.A. with honours. During World War II, he worked in

Hut 7 Hut 7 was a wartime section of the Government Code and Cypher School (GC&CS) at Bletchley Park tasked with the solution of Japanese naval codes such as JN4, JN11, JN40, and JN-25. The hut was headed by Hugh Foss who reported to Frank Birch, the he ...

of the

Government Code and Cypher School Government Communications Headquarters, commonly known as GCHQ, is an intelligence and security organisation responsible for providing signals intelligence (SIGINT) and information assurance (IA) to the government and armed forces of the Unit ...

Bletchley Park Bletchley Park is an English country house and estate in Bletchley, Milton Keynes (Buckinghamshire) that became the principal centre of Allied code-breaking during the Second World War. The mansion was constructed during the years following ...

, breaking ciphers used for military communications by the Japanese navy and, later, army. After the war he earned an M.A. (again with honours) from

Clare College, Cambridge Clare College is a constituent college of the University of Cambridge in Cambridge, England England is a country that is part of the United Kingdom. It shares land borders with Wales to its west and Scotland to its north. The Iris ...

. With a Commonwealth Fund fellowship, he then attended

Princeton University Princeton University is a private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth as the College of New Jersey, Princeton is the fourth-oldest institution of higher education in the United States and one of the n ...

, where he earned his Ph.D. in 1950 under the supervision of

Emil Artin Emil Artin (; March 3, 1898 – December 20, 1962) was an Austrian mathematician of Armenian descent. Artin was one of the leading mathematicians of the twentieth century. He is best known for his work on algebraic number theory, contributing ...

Career

He taught at

Keele University Keele University, officially known as the University of Keele, is a public research university in Keele, approximately from Newcastle-under-Lyme, Staffordshire, England. Founded in 1949 as the University College of North Staffordshire, Kee ...

and the

University of Dundee , mottoeng = "My soul doth magnify the Lord" , established = 1967 – gained independent university status by Royal Charter1897 – Constituent college of the University of St Andrews1881 – University College , ...

before moving to the

University of Birmingham The University of Birmingham (informally Birmingham University) is a Public university, public research university located in Edgbaston, Birmingham, United Kingdom. It received its royal charter in 1900 as a successor to Queen's College, Birmingha ...

in 1963 where he stayed until 1979 as Mason Professor, then moved back to the

University of Pittsburgh The University of Pittsburgh (Pitt) is a public state-related research university in Pittsburgh, Pennsylvania. The university is composed of 17 undergraduate and graduate schools and colleges at its urban Pittsburgh campus, home to the univers ...

in the United States until he reached their statutory retirement age of 60. He subsequently took up a position at the

where he remained for a number of years, before moving to Warwickshire where at the

University of Warwick , mottoeng = Mind moves matter , established = , type = Public research university , endowment = £7.0 million (2021) , budget = £698.2 million (202 ...

he held the position of Emeritus Professor of Mathematics.

Death

Professor Macbeath died on 14 May 2014 in Warwick, England.

References

Scottish mathematicians Scientists from Glasgow 1923 births 2014 deaths {{UK-mathematician-stub