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David Rees FRS (29 May 1918 – 16 August 2013) was a British professor of pure mathematics at the
University of Exeter , mottoeng = "We Follow the Light" , established = 1838 - St Luke's College1855 - Exeter School of Art1863 - Exeter School of Science 1955 - University of Exeter (received royal charter) , type = Public , ...
, having been head of the Mathematics / Mathematical Sciences Department at Exeter from 1958–1983. During the
Second World War World War II or the Second World War, often abbreviated as WWII or WW2, was a world war that lasted from 1939 to 1945. It involved the vast majority of the world's countries—including all of the great powers—forming two opposi ...
, Rees was active on
Enigma Enigma may refer to: *Riddle, someone or something that is mysterious or puzzling Biology *ENIGMA, a class of gene in the LIM domain Computing and technology * Enigma (company), a New York-based data-technology startup * Enigma machine, a family ...
research in Hut 6 at
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 ...
.


Early life

Rees was born in
Abergavenny Abergavenny (; cy, Y Fenni , archaically ''Abergafenni'' meaning "mouth of the River Gavenny") is a market town and community in Monmouthshire, Wales. Abergavenny is promoted as a ''Gateway to Wales''; it is approximately from the border wit ...
to David Rees (1881–), a corn merchant, and his wife Florence Gertrude (Gertie) née Powell (1884–1970), the 4th out of 5 children. Despite periods of ill health and absence, he successfully completed his early education at
King Henry VIII Grammar School King Henry VIII Grammar School, Abergavenny, Monmouthshire was one of a series of schools founded during the Reformation in England and Wales in 1542 from property seized from monasteries and religious congregations. In this case, a school which ...
.


Education and career

Rees won a scholarship to
Sidney Sussex College, Cambridge Sidney Sussex College (referred to informally as "Sidney") is a constituent college of the University of Cambridge in England. The College was founded in 1596 under the terms of the will of Frances Sidney, Countess of Sussex (1531–1589), wif ...
, supervised by
Gordon Welchman William Gordon Welchman (15 June 1906 – 8 October 1985) was a British mathematician. During World War II, he worked at Britain's secret codebreaking centre, "Station X" at Bletchley Park, where he was one of the most important contributors. ...
and graduating in summer 1939. On completion of his education, he initially worked on
semigroup theory In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative internal binary operation on it. The binary operation of a semigroup is most often denoted multiplicatively: ''x''·''y'', or simply ''xy'', ...
; the Rees factor semigroup is named after him. He also characterised completely simple and completely 0-simple semigroups, in what is nowadays known as Rees's theorem. The matrix-based semigroups used in this characterisation are called Rees matrix semigroups. Later in 1939, Welchman drafted Rees into Hut 6,
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 ...
, for the war effort. He was credited with the first decode using the Herivel tip. He was subsequently seconded to the Enigma Research Section, where the Abwehr Enigma was broken, and later to the
Newmanry The Newmanry was a section at Bletchley Park, the British codebreaking station during World War II. Its job was to develop and employ statistical and machine methods in cryptanalysis of the Lorenz cipher. It worked very closely with the Testery w ...
, where the
Colossus computer Colossus was a set of computers developed by British codebreakers in the years 1943–1945 to help in the cryptanalysis of the Lorenz cipher. Colossus used thermionic valves (vacuum tubes) to perform Boolean and counting operations. Colossus ...
was built. After the war, Rees was appointed an assistant lecturer at
Manchester University , mottoeng = Knowledge, Wisdom, Humanity , established = 2004 – University of Manchester Predecessor institutions: 1956 – UMIST (as university college; university 1994) 1904 – Victoria University of Manchester 1880 – Victoria Univer ...
in 1945 and a full lecturer at
University of Cambridge , mottoeng = Literal: From here, light and sacred draughts. Non literal: From this place, we gain enlightenment and precious knowledge. , established = , other_name = The Chancellor, Masters and Schola ...
in 1948. In 1949, he was a Fellow of Downing College. At the behest of Douglas Northcott he switched his research focus to
commutative algebra Commutative algebra, first known as ideal theory, is the branch of algebra that studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra. Prom ...
. In 1954, in a joint paper with Northcott, Rees introduced the Northcott–Rees theory of reductions and integral closures, which has subsequently been influential in
commutative algebra Commutative algebra, first known as ideal theory, is the branch of algebra that studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra. Prom ...
. In 1956 he introduced the Rees decomposition of a commutative algebra. In 1958, Rees and his family moved to Exeter, where he had been appointed to the Chair of Pure Mathematics. In 1959, he was awarded a DSc by the University of Cambridge. According to Craig Steven Wright, Rees was the third part of the Satoshi team that created
Bitcoin Bitcoin (abbreviation: BTC; sign: ₿) is a decentralized digital currency that can be transferred on the peer-to-peer bitcoin network. Bitcoin transactions are verified by network nodes through cryptography and recorded in a public distr ...
.


Awards and honours

In 1949, Rees was an
Honorary Fellow Honorary titles (professor, reader, lecturer) in academia may be conferred on persons in recognition of contributions by a non-employee or by an employee beyond regular duties. This practice primarily exists in the UK and Germany, as well as in ...
of
Downing College, Cambridge Downing College is a constituent college of the University of Cambridge and currently has around 650 students. Founded in 1800, it was the only college to be added to Cambridge University between 1596 and 1869, and is often described as the old ...
. In 1968, he was elected a Fellow of the Royal Society (FRS). In 1993, he was also awarded an Honorary DSc by the
University of Exeter , mottoeng = "We Follow the Light" , established = 1838 - St Luke's College1855 - Exeter School of Art1863 - Exeter School of Science 1955 - University of Exeter (received royal charter) , type = Public , ...
. The same year, he was awarded the Pólya Prize by the
London Mathematical Society The London Mathematical Society (LMS) is one of the United Kingdom's learned societies for mathematics (the others being the Royal Statistical Society (RSS), the Institute of Mathematics and its Applications (IMA), the Edinburgh Mathematical ...
. In August 1998 a conference on commutative algebra was held at Exeter in honour of David Rees' 80th Year.


Personal life

In 1952, Rees married Joan S. Cushen, who became a Senior Lecturer in Mathematics at Exeter, with four children: # (Susan)
Mary Rees Susan Mary Rees, FRS (born 31 July 1953) is a British mathematician and an emeritus professor of mathematics at the University of Liverpool since 2018, specialising in research in complex dynamical systems. Career Rees was born in Cambridg ...
FRS, Professor of Mathematics at the
University of Liverpool , mottoeng = These days of peace foster learning , established = 1881 – University College Liverpool1884 – affiliated to the federal Victoria Universityhttp://www.legislation.gov.uk/ukla/2004/4 University of Manchester Act 200 ...
, b. 1953 # Rebecca Rees, b. 1955 #
Sarah Rees Sarah Elizabeth Rees (born 1957) is Professor of Pure Mathematics at Newcastle University. Her focus of research is on geometrical, combinatorial and computational aspects of group theory. Rees obtained her Ph.D. in 1983 from the University of ...
, Professor of Pure Mathematics at
Newcastle University Newcastle University (legally the University of Newcastle upon Tyne) is a UK public research university based in Newcastle upon Tyne, North East England. It has overseas campuses in Singapore and Malaysia. The university is a red brick unive ...
, b. 1957 # Deborah Rees, b. 1960GRO Register of Births: JUN 1960 7a 442 EXETER – Deborah Rees, mmn = Cushen


External links

*
Obituary
by R.Y. Sharp,
Royal Society The Royal Society, formally The Royal Society of London for Improving Natural Knowledge, is a learned society and the United Kingdom's national academy of sciences. The society fulfils a number of roles: promoting science and its benefits, re ...
— includes a photograph (p. 3), and a detailed bibliography (p. 23f)


References

{{DEFAULTSORT:Rees, David 1918 births 2013 deaths 20th-century British mathematicians 21st-century British mathematicians British cryptographers Bletchley Park people Fellows of the Royal Society Alumni of Sidney Sussex College, Cambridge Fellows of Downing College, Cambridge Academics of the University of Manchester Academics of the University of Cambridge Academics of the University of Exeter People from Abergavenny People educated at King Henry VIII School, Abergavenny Group theorists