J. A. Todd: Difference between revisions
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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 group]]s. |
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 group]]s. |
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In March 1948 he was elected a [[Fellow of the Royal Society]]. <ref> {{cite web | url= http://www2.royalsociety.org/DServe/dserve.exe?dsqIni=Dserve.ini&dsqApp=Archive&dsqCmd=Show.tcl&dsqDb=Persons&dsqPos=2&dsqSearch=%28Surname%3D%27todd%27%29 |title= Library and Archive Catalogue| publisher= Royal Society| accessdate= 28 October 2010}} </ref> |
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==References== |
==References== |
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[[Category:1908 births]] |
[[Category:1908 births]] |
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[[Category:1994 deaths]] |
[[Category:1994 deaths]] |
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[[Category:People from Liverpool]] |
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[[Category:British mathematicians]] |
[[Category:British mathematicians]] |
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[[Category:20th-century mathematicians]] |
[[Category:20th-century mathematicians]] |
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Revision as of 19:43, 28 October 2010
J. A. Todd | |
|---|---|
| File:John Arthur Todd (1908-1994).jpg John Arthur Todd (1908-1994) | |
| Born | 23 August 1908 |
| Died | 22 December 1994 (aged 86) |
| Nationality | English |
| Alma mater | University of Cambridge |
| Known for | Todd class Todd–Coxeter algorithm Chevalley–Shephard–Todd theorem Coset enumeration Todd genus Todd polynomials |
| Awards | Smith's Prize (1930) Rockefeller Fellowship (1933) |
| Scientific career | |
| Fields | Mathematician |
| Institutions | University of Manchester University of Cambridge |
| Doctoral advisor | H.F. Baker |
| Doctoral students | Peter Newstead Roger Penrose Geoffrey Shephard |
John Arthur Todd (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.[1]
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. [2]
References
- ^ Atiyah, M. F. (1998). "John Arthur Todd (Obituary)". Bull. London Math. Soc. 30: 305–316. doi:10.1112/S0024609397003871.
- ^ "Library and Archive Catalogue". Royal Society. Retrieved 28 October 2010.