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Peter Cameron (mathematician)

Peter Cameron (mathematician) is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Peter Cameron (mathematician) rather than just read about it. In short: Peter Jephson Cameron FRSE (born 23 January 1947) is an Australian mathematician who works in group theory, combinatorics, coding theory, and model theory. He is currently Emeritus Professor at the University of St Andrews and Queen Mary University of London.

Peter Cameron (mathematician) — main illustration
Peter Cameron (mathematician) — illustration

Key takeaways

  • Peter Cameron (mathematician) belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Peter Cameron (mathematician) to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Peter Cameron (mathematician) from memory before moving on to harder problems.

Reference excerpt

Peter Jephson Cameron FRSE (born 23 January 1947) is an Australian mathematician who works in group theory, combinatorics, coding theory, and model theory. He is currently Emeritus Professor at the University of St Andrews and Queen Mary University of London.

Education Cameron received a B.Sc. from the University of Queensland and a D.Phil. in 1971 from the University of Oxford as a Rhodes Scholar, with Peter M. Neumann as his supervisor. Subsequently, he was a Junior Research Fellow and later a Tutorial Fellow at Merton College, Oxford, and also lecturer at Bedford College, London.

Work Cameron specialises in algebra and combinatorics; he has written books about combinatorics, algebra, permutation groups, and logic, and has produced over 350 academic papers. In 1988, he posed the Cameron–Erdős conjecture with Paul Erdős.

Honours and awards He was awarded the London Mathematical Society's Whitehead Prize in 1979 and Senior Whitehead Prize in 2017, and is joint winner of the 2003 Euler Medal. In 2008, he was selected as the Forder Lecturer of the LMS and New Zealand Mathematical Society. In 2018 he was elected a Fellow of the Royal Society of Edinburgh.

Books Cameron, Peter J.; Lint, Jacobus Hendricus van (1975). Graph theory, coding theory, and block designs. Cambridge, Eng.: Cambridge University Press. ISBN 978-1-107-08708-8. OCLC 846492893. Cameron, Peter J. (10 June 1976). Parallelisms of Complete Designs. Cambridge University Press. doi:10.1017/cbo9780511662102. ISBN 978-0-521-21160-4. Cameron, Peter J. (29 June 1990). Oligomorphic Permutation Groups. Cambridge University Press. doi:10.1017/cbo9780511549809. ISBN 978-0-521-38836-8. Cameron, P. J.; Lint, J. H. van (19 September 1991). Designs, Graphs, Codes and their Links. Cambridge University Press. doi:10.1017/cbo9780511623714. ISBN 978-0-521-41325-1. Cameron, Peter J. (1994). Combinatorics : topics, techniques, algorithms. Cambridge: Cambridge University Press. ISBN 0-521-45133-7. OCLC 29910262. Cameron, Peter J. (1998). Sets, Logic and Categories. London: Springer London. ISBN 978-1-4471-0589-3. OCLC 958523400. Cameron, Peter J. (4 February 1999). Permutation Groups. Cambridge University Press. doi:10.1017/cbo9780511623677. ISBN 978-0-521-65302-2. Cameron, Peter J. (2008). Introduction to algebra. Oxford: Oxford University Press. ISBN 978-0-19-156622-6. OCLC 213466141.

Notes

References Short biography

See also Cameron–Fon-Der-Flaass IBIS theorem

External links Home page at Queen Mary University of London Home page at University of St Andrews Peter Cameron's 60th birthday conference Theorems by Peter Cameron at Theorem of the Day Peter Cameron's blog Peter Cameron at the Mathematics Genealogy Project

Illustrations

Peter Cameron (mathematician) illustration
Peter Cameron (mathematician): Peter Cameron giving the 2007 Dame Kathleen Ollerenshaw lecture at the School of Mathematics, University of Manchester
Peter Cameron giving the 2007 Dame Kathleen Ollerenshaw lecture at the School of Mathematics, University of Manchester

Worked examples

Example 1 — a first encounter with Peter Cameron (mathematician)

Start with the simplest possible case. Write down what Peter Cameron (mathematician) claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Peter Cameron (mathematician) before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Peter Cameron (mathematician) ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Peter Cameron (mathematician)

In research
Peter Cameron (mathematician) appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Peter Cameron (mathematician) in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Peter Cameron (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1947 births, 20th-century Australian mathematicians, 21st-century Australian mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Peter Cameron (mathematician) outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Peter Cameron (mathematician) in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Peter Cameron (mathematician) means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Peter Cameron (mathematician) out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Peter Cameron (mathematician) in simple terms?

Peter Jephson Cameron FRSE (born 23 January 1947) is an Australian mathematician who works in group theory, combinatorics, coding theory, and model theory. He is currently Emeritus Professor at the University of St Andrews and Queen Mary University of London.

Why does Peter Cameron (mathematician) matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Peter Cameron (mathematician)?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Peter Cameron (mathematician).

Tags

  • 1947 births
  • 20th-century Australian mathematicians
  • 21st-century Australian mathematicians
  • Academics of Queen Mary University of London
  • Academics of the University of St Andrews
  • Algebraists
  • Alumni of Balliol College, Oxford
  • Australian Rhodes Scholars
  • Coding theorists
  • Combinatorialists
  • Group theorists
  • Living people

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