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J. A. Todd

From Wikipedia, the free encyclopedia
British geometer

J. A. Todd
Born(1908-08-23)23 August 1908
Liverpool, England
Died22 December 1994(1994-12-22) (aged 86)
Croydon, England
Alma materUniversity of Cambridge
Known forTodd class
Todd–Coxeter algorithm
Chevalley–Shephard–Todd theorem
Coset enumeration
Todd genus
Todd polynomials
AwardsSmith's Prize (1930)
Rockefeller Fellowship (1933),Fellow of the Royal Society[1]
Scientific career
FieldsMathematician
InstitutionsUniversity of Manchester
University of Cambridge
Thesis Grassmannian Varieties / The Conic as a Space Element (1932)
Doctoral advisorH.F. Baker
Doctoral studentsRoger Penrose
Geoffrey Shephard
Christine Hamill[2]

John Arthur ToddFRS[1] (23 August 1908 – 22 December 1994) was an English mathematician who specialised in geometry.

Biography

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He was born inLiverpool, and went up toTrinity College, Cambridge in 1925. He did research underH.F. Baker, and in 1931 took a position at theUniversity of Manchester. He became a lecturer at Cambridge in 1937. He remained at Cambridge for the rest of his working life.[3]

Work

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TheTodd class in the theory of the higher-dimensionalRiemann–Roch theorem is an example of acharacteristic class (or, more accurately, a reciprocal of one) that was discovered by Todd in work published in 1937. It used the methods of theItalian school of algebraic geometry. TheTodd–Coxeter process forcoset enumeration is a major method of computational algebra, and dates from a collaboration withH.S.M. Coxeter in 1936. In 1953 he and Coxeter discovered theCoxeter–Todd lattice. In 1954 he andG. C. Shephard classified the finitecomplex reflection groups.

Honours

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In March 1948 he was elected aFellow of the Royal Society.[4]

Selected publications

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Scholia has a profile forJ. A. Todd(Q364575).

References

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  1. ^abAtiyah, M. (1996)."John Arthur Todd. 23 August 1908 – 22 December 1994".Biographical Memoirs of Fellows of the Royal Society.42:482–494.doi:10.1098/rsbm.1996.0029.
  2. ^"Christine Hamill – Biography".
  3. ^Atiyah, M. F. (1998)."John Arthur Todd (Obituary)".Bull. London Math. Soc.30 (3):305–316.doi:10.1112/S0024609397003871.
  4. ^"Library and Archive Catalogue". Royal Society. Retrieved28 October 2010.[permanent dead link]

External links

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