Peter Cameron (mathematician)

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Peter Cameron

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

Cameron studied at the University of Queensland from 1964 to 1967 and received his doctorate under Peter Neumann at Oxford University in 1971 ( Structure of suborbits in some primitive permutation groups ). He was there from 1968 as a Queensland Rhodes Scholar. He was then a researcher (Junior Research Fellow) at Merton College, Oxford, from 1974 to 1976 lecturer at Bedford College, University of London, and from 1976 again tutor or lecturer at Merton College. From 1986 he was a reader and from 1987 professor of mathematics at Queen Mary College, University of London. He was a visiting professor at the University of Sydney (1979), visiting scientist at Caltech (Sherman Fairchild Distinguished Scholar) and at Gonville and Caius College of Cambridge University (2008).

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

A conjecture named after him and Paul Erdős that the number of sum-free subsets of natural numbers is of the same order of magnitude as in the special case of odd numbers was proven by Ben Green in 2004 .

In 1990 he was invited speaker at the International Congress of Mathematicians in Kyōto ( Infinite permutation groups in enumeration and model theory ). In 1979 he received the Junior Whitehead Prize , the Euler Medal in 2003 and the Senior Whitehead Prize in 2017 .

Fonts

  • 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

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
  2. ↑ Cameron, Erdős, in the Conference Number Theory , Banff 1988.
  3. ^ The ICA Medals. Institute of Combinatorics and its Applications, accessed June 17, 2018 .
personal data
SURNAME Cameron, Peter
ALTERNATIVE NAMES Cameron, Peter Jephson (full name)
BRIEF DESCRIPTION Australian mathematician
DATE OF BIRTH January 23, 1947
PLACE OF BIRTH Toowoomba