Gordon Preston
Encyclopedia
Gordon Bamford Preston is an English mathematician who is known for his work on semigroup
Semigroup
In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative binary operation. A semigroup generalizes a monoid in that there might not exist an identity element...

s. He received his D.Phil. in mathematics in 1954 from the University of Oxford
University of Oxford
The University of Oxford is a university located in Oxford, United Kingdom. It is the second-oldest surviving university in the world and the oldest in the English-speaking world. Although its exact date of foundation is unclear, there is evidence of teaching as far back as 1096...

.

He was born in Workington
Workington
Workington is a town, civil parish and port on the west coast of Cumbria, England, at the mouth of the River Derwent. Lying within the Borough of Allerdale, Workington is southwest of Carlisle, west of Cockermouth, and southwest of Maryport...

 and brought up in Carlisle. During the World War II
World War II
World War II, or the Second World War , was a global conflict lasting from 1939 to 1945, involving most of the world's nations—including all of the great powers—eventually forming two opposing military alliances: the Allies and the Axis...

, he left Oxford University for Bletchley Park
Bletchley Park
Bletchley Park is an estate located in the town of Bletchley, in Buckinghamshire, England, which currently houses the National Museum of Computing...

, to help crack German codes with a small group of mathematicians which included Alan Turing
Alan Turing
Alan Mathison Turing, OBE, FRS , was an English mathematician, logician, cryptanalyst, and computer scientist. He was highly influential in the development of computer science, providing a formalisation of the concepts of "algorithm" and "computation" with the Turing machine, which played a...

. A teacher at Westminster School
Westminster School
The Royal College of St. Peter in Westminster, almost always known as Westminster School, is one of Britain's leading independent schools, with the highest Oxford and Cambridge acceptance rate of any secondary school or college in Britain...

, London and then The Royal Military College of Science. In 1954 he wrote three hugely influential papers in the Journal of the London Mathematical Society, laying the foundations of inverse semigroup
Semigroup
In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative binary operation. A semigroup generalizes a monoid in that there might not exist an identity element...

 theory. Before Gordon and Al Clifford's book, The algebraic theory of semigroups (Vol 1 1961) (Vol 2 1967) and the Russian, E S Lyapin's, Semigroups (1960) there was no systematic treatment of semigroups. The algebraic theory of semigroups was hailed as an excellent achievement which greatly influenced the future development of the subject. In 1963, Gordon Bamford Preston moved to Australia
Australia
Australia , officially the Commonwealth of Australia, is a country in the Southern Hemisphere comprising the mainland of the Australian continent, the island of Tasmania, and numerous smaller islands in the Indian and Pacific Oceans. It is the world's sixth-largest country by total area...

 to take up chair of mathematics at Monash University
Monash University
Monash University is a public university based in Melbourne, Victoria. It was founded in 1958 and is the second oldest university in the state. Monash is a member of Australia's Group of Eight and the ASAIHL....

 outside Melbourne
Melbourne
Melbourne is the capital and most populous city in the state of Victoria, and the second most populous city in Australia. The Melbourne City Centre is the hub of the greater metropolitan area and the Census statistical division—of which "Melbourne" is the common name. As of June 2009, the greater...

.

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