Peter Cameron (mathematician)

Peter Jephson Cameron ( born January 23, 1947 in Toowoomba ) is employed under an Australian mathematician who with combinatorics, logic and group theory ( permutation ).

Cameron studied from 1964 to 1967 at the University of Queensland and was established in 1971 with Peter Neumann at Oxford University doctorate ( Structure of suborbits in some primitive permutation groups). He was there from 1968 as Queensland Rhodes Scholar. After that, he was a researcher (Junior Research Fellow ) at Merton College, Oxford, from 1974 to 1976 Lecturer at Bedford College, London University and from 1976 again tutor or lecturer at Merton College. In 1986 he was Reader in 1987 and Professor of Mathematics at Queen Mary College, University of London. He has been a visiting professor at the University of Sydney ( 1979), visiting scientist at Caltech ( Sherman Fairchild Distinguished Scholar ) and at Gonville and Caius College, Cambridge (2008).

Cameron studied in particular permutation groups with applications in statistics ( design of experiments ), graphs, codes and geometry.

A named after him and Paul Erdős conjecture that the number of sum -free subsets of natural numbers of the order (and thus of the same order as in the special case of odd numbers ), was proved by Ben Green in 2004.

In 1990 he was invited speaker at the International Congress of Mathematicians in Kyoto ( Infinite permutation groups in enumeration and model theory ). In 1979 he received the Junior Whitehead Prize in 2003 and the Euler Medal.

Writings

  • Permutation Groups, Cambridge University Press 1999
  • Combinatorics: topics, techniques, algorithms, Cambridge University Press 1994
  • Sets, logics and combinatorics, Springer 1999
  • Oligomorphic permutation groups, Cambridge University Press 1990
  • Introduction to Algebra, Oxford University Press 1989, 2nd edition 2008
  • With Jacobus van Lint: Graph theory, coding theory and block designs, Cambridge University Press, 1975,
  • Same: Graphs, codes and designs, Cambridge University Press 1980
  • Parallelisms of complete designs, Cambridge University Press 1976
Ben Green (mathematician) Integrated Authority File
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