Prof Peter Cameron

Professor

Phone: +44 (0)1334 46 3769
Email: pjc20@st-andrews.ac.uk
Office: 317 MI
Location: Mathematical Institute

Teaching

Since arriving in St Andrews, Peter Cameron has taught MT5821, Advanced Combinatorics (now MT5861). He has also supervised independent learning modules on Set Theory and Logic. 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

Research areas

Peter Cameron has been a half-time Professor of Mathematics in the School of Mathematics and Statistics since 2013, having 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 over 300 papers and has 200 coauthors.

PhD supervision

Coen Del Valle

Selected publications

Open access

The geometry of diagonal groups
Bailey, R. A., Cameron, P. J., Praeger, C. E. & Schneider, C., Aug 2022, In: Transactions of the American Mathematical Society. 375, 8, p. 5259-5311
Research output: Contribution to journal › Article › peer-review
Open access

Graphs defined on groups
Cameron, P. J., Jun 2022, In: International Journal of Group Theory. 11, 2, p. 53-107
Research output: Contribution to journal › Article › peer-review
Open access

Generating sets of finite groups
Cameron, P. J., Lucchini, A. & Roney-Dougal, C. M., Sept 2018, In: Transactions of the American Mathematical Society. 370, 9, p. 6751-6770
Research output: Contribution to journal › Article › peer-review
Open access

The Hall–Paige conjecture, and synchronization for affine and diagonal groups
Bray, J., Cai, Q., Cameron, P. J., Spiga, P. & Zhang, H., Mar 2020, In: Journal of Algebra. 545, p. 27-42
Research output: Contribution to journal › Article › peer-review
Open access

Highest rank of a polytope for A_n
Cameron, P. J., Fernandes, M. E., Leemans, D. & Mixer, M., 4 Jul 2017, In: Proceedings of the London Mathematical Society. 115, 1, p. 135-176 42 p.
Research output: Contribution to journal › Article › peer-review
Open access

Between primitive and 2-transitive: synchronization and its friends
Araújo, J., Cameron, P. J. & Steinberg, B., 2017, In: EMS Surveys in Mathematical Sciences. 4, 2, p. 101-184
Research output: Contribution to journal › Article › peer-review

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