Prof Peter Cameron
Professor
 pjc20@standrews.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 firstsemester 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 halftime 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. 52595311Research output: Contribution to journal › Article › peerreview

Open access
Graphs defined on groups
Cameron, P. J., Jun 2022, In: International Journal of Group Theory. 11, 2, p. 53107Research output: Contribution to journal › Article › peerreview

Open access
Generating sets of finite groups
Cameron, P. J., Lucchini, A. & RoneyDougal, C. M., Sept 2018, In: Transactions of the American Mathematical Society. 370, 9, p. 67516770Research output: Contribution to journal › Article › peerreview

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. 2742Research output: Contribution to journal › Article › peerreview

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. 135176 42 p.Research output: Contribution to journal › Article › peerreview

Open access
Between primitive and 2transitive: synchronization and its friends
Araújo, J., Cameron, P. J. & Steinberg, B., 2017, In: EMS Surveys in Mathematical Sciences. 4, 2, p. 101184Research output: Contribution to journal › Article › peerreview