J. A. Todd

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For other people of the same name, see John Todd (disambiguation).
J. A. Todd
Born (1908-08-23)23 August 1908
Liverpool, England
Died 22 December 1994(1994-12-22) (aged 86)
Croydon, England
Residence UK
Nationality English
Fields Mathematician
Institutions University of Manchester
University of Cambridge
Alma mater University of Cambridge
Doctoral advisor H.F. Baker
Doctoral students Peter Newstead
Roger Penrose
Geoffrey Shephard
Known for Todd class
Todd–Coxeter algorithm
Chevalley–Shephard–Todd theorem
Coset enumeration
Todd genus
Todd polynomials
Influences Solomon Lefschetz
Notable awards Smith's Prize (1930)
Rockefeller Fellowship (1933), Fellow of the Royal Society[1]

John Arthur Todd FRS[1] (23 August 1908 – 22 December 1994) was a British geometer. He was born in Liverpool, and went to Trinity College of the University of Cambridge in 1925. He did research under H.F. Baker, and in 1931 took a position at the University of Manchester. He became a lecturer at Cambridge in 1937. He remained at Cambridge for the rest of his working life.[2]

The Todd class in the theory of the higher-dimensional Riemann–Roch theorem is an example of a characteristic class (or, more accurately, a reciprocal of one) that was discovered by Todd in work published in 1937. It used the methods of the Italian school of algebraic geometry. The Todd–Coxeter process for coset enumeration is a major method of computational algebra, and dates from a collaboration with H.S.M. Coxeter in 1936. In 1953 he and Coxeter discovered the Coxeter–Todd lattice. In 1954 he and G. C. Shephard classified the finite complex reflection groups.

In March 1948 he was elected a Fellow of the Royal Society.[3]

References[edit]

  1. ^ a b Atiyah, M. (1996). "John Arthur Todd. 23 August 1908-22 December 1994". Biographical Memoirs of Fellows of the Royal Society 42: 482–426. doi:10.1098/rsbm.1996.0029.  edit
  2. ^ Atiyah, M. F. (1998). "John Arthur Todd (Obituary)". Bull. London Math. Soc. 30 (3): 305–316. doi:10.1112/S0024609397003871. 
  3. ^ "Library and Archive Catalogue". Royal Society. Retrieved 28 October 2010. 

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