Harold Scott MacDonald Coxeter (1907 to 2003), known as Donald, was a geometer born in London who spent most of his career at the University of Toronto. He studied at Cambridge, where he took his doctorate in 1931 under H. F. Baker with a thesis on regular polytopes, and he was also influenced by Alicia Boole Stott and G. H. Hardy. His work centred on geometry, with major contributions to the theory of polytopes, non-euclidean geometry, group theory and combinatorics. In 1934 he classified the spherical and euclidean reflection groups that now carry his name, the Coxeter groups. Among his best known books are Regular Polytopes, Non-euclidean Geometry, Introduction to Geometry and, with S. L. Greitzer, Geometry Revisited. He was elected a Fellow of the Royal Society of Canada in 1948 and of the Royal Society of London in 1950.
Facts
Connections
Attributed Works
Source Coxeter Element (Wikipedia)
Source Eugene Borisovich Dynkin (MacTutor)
In Branch
Source Harold Scott MacDonald Coxeter (MacTutor)
Source Harold Scott MacDonald Coxeter (MacTutor)
Source Harold Scott MacDonald Coxeter (MacTutor)
Source Harold Scott MacDonald Coxeter (MacTutor)
Mentored By
Source Harold Scott MacDonald Coxeter (MacTutor)
Principal Result
Source Coxeter Element (Wikipedia)
In the Other Atlases
Nationality
Also in Geography Atlas: the nationality of this subject.
Source Harold Scott MacDonald Coxeter (MacTutor)Quick Info, born, nationality / cultureQuote, Quick Info, born, nationality / culture
London, England
Sources
1. Harold Scott MacDonald Coxeter (MacTutor)
Quick Info, born
9 February 1907
Biography, pronoun
he continued to study for a doctorate at Cambridge under H F Baker
Quick Info, born, nationality / culture
London, England
In Branch: Geometry, Summary
work was mainly in geometry
In Branch: Non-Euclidean Geometry, Summary, non-euclidean geometry
contributions of major importance in the theory of polytopes, non-euclidean geometry, group theory and combinatorics
In Branch: Group Theory, Summary, group theory
contributions of major importance in the theory of polytopes, non-euclidean geometry, group theory and combinatorics
In Branch: Combinatorics, Summary, combinatorics
contributions of major importance in the theory of polytopes, non-euclidean geometry, group theory and combinatorics
Mentored By: Henry Frederick Baker, Biography, doctoral study
he continued to study for a doctorate at Cambridge under H F Baker
View the Source2. Harold_Scott_MacDonald_Coxeter (Wikipedia)
LeadQuote, Lead
(9 February 1907-31 March 2003) was a British-Canadian geometer and mathematician
View the Source Eugene Borisovich Dynkin (MacTutor)
Attributed Works: Dynkin diagram, Biography, Lie algebras, CoxeterQuote, Attributed Works: Dynkin diagram, Biography, Lie algebras, Coxeter
Coxeter had independently introduced them in his work on crystallographic groups
View the Source Coxeter Element (Wikipedia)
Attributed Works: Coxeter Element, Lead sentence
Coxeter, who introduced the groups in 1934 as abstractions of reflection groups.
Principal Result: Coxeter Element, Lead sentence of the article on the result
Coxeter, who introduced the groups in 1934 as abstractions of reflection groups.
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