J. A. Todd | |
|---|---|
| Born | (1908-08-23)23 August 1908 Liverpool, England |
| Died | 22 December 1994(1994-12-22) (aged 86) Croydon, England |
| 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),Fellow of the Royal Society[1] |
| Scientific career | |
| Fields | Mathematician |
| Institutions | University of Manchester University of Cambridge |
| Thesis | Grassmannian Varieties / The Conic as a Space Element (1932) |
| Doctoral advisor | H.F. Baker |
| Doctoral students | Roger Penrose Geoffrey Shephard Christine Hamill[2] |
John Arthur ToddFRS[1] (23 August 1908 – 22 December 1994) was an English mathematician who specialised in geometry.
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]
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.
In March 1948 he was elected aFellow of the Royal Society.[4]