Personal profile

Research overview

Peter Cameron is currently an Emeritus Professor of Mathematics in the School of Mathematics and Statistics, having been a (part-time) professor since 2013. He previously spent 11 years at the University of Oxford and 26 years at Queen Mary University of London. His research is in the areas of algebra (groups, permutation groups, semigroups), combinatorics (enumeration, design theory and finite geometry, graph theory), and model theory (countably categorical structures). He is known for his work exploring consequences of the Classification of Finite Simple Groups for permutation group theory, for automorphism groups of countably categorical structures (he invented the term "oligomorphic" to describe these groups), and more recently applications of permutation groups in semigroup theory and in design of experiments in statistics. He has published nearly 400 papers and has 250 coauthors. A highly cited paper uses the classification of the ADE Coxeter--Dynkin diagrams and associated root systems in the proof of a conjecture of Hoffman on graphs with least eigenvalue -2.

Teaching activity

After arriving in St Andrews, Peter Cameron taught MT5821, Advanced Combinatorics (now MT5861) for 10 years. and a new module MT5867 on Set Theory and Mathematical Logic for 2 years (with Nik Ruskuc). He has also supervised independent learning modules on various topics including logic, combinatorics, and representation theory. Previous teaching activity includes devising a first-semester introductory module to University mathematics at Queen Mary University of London, and courses in number theory, linear algebra, algebraic structures, group theory, logic, and topology, as well as short courses at Masters/PhD level on Synchronization, Laplacian Eigenvalues, Group Theory, and the Random Graph.

He was awarded Students Association Teaching Innovation Prize 2015

Academic/Professional Qualification

BSc (Hons), University of Queensland

DPhil, MA, University of Oxford

Other expertise

Chair, British Combinatorial Committee, 1994-2022

Profile Keywords

Groups and their operands

Education/Academic qualification

Doctor of Philosophy, Structure of suborbits in some primitive permutation groups, University of Oxford

Award Date: 1 Dec 1971

Bachelor of Science, University of Queensland

Award Date: 1 May 1968

External positions

Professor Emeritus, QUEEN MARY LONDON

1 Sept 2012 → …

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