Publications
“We adore chaos because we love to produce order.”
– M. C. Escher
– M. C. Escher
Books
- The spread of almost simple classical groups
Lecture Notes in Mathematics vol. 2286, Springer, 2021, viii+154
ISBN: 978-3-030-74099-3 | doi:10.1007/978-3-030-74100-6
(I have several print copies. Let me know if you'd like one.)
Journal Articles
- Average distances on self-similar sets and higher order average distances of self-similar measures
Joint with D. Allen, H. Edwards, L. Olsen
Mathematische Zeitschrift 287 (2017) 287–324
doi:10.1007/s00209-016-1826-3 - On the uniform spread of almost simple symplectic and orthogonal groups
Journal of Algebra 490 (2017) 330–371
arXiv:1703.09652 | doi:10.1016/j.jalgebra.2017.07.008 - On the uniform domination number of a finite simple group
Joint with T. C. Burness
Transactions of the American Mathematical Society 372 (2019) 545–583
arXiv:1710.07113 | doi:10.1090/tran/7593 | code - The distinguishing number of quasiprimitive and semiprimitive groups
Joint with A. Devillers, L. Morgan
Archiv der Mathematik 113 (2019) 127–139
arXiv:1808.08705 | doi:10.1007/s00013-019-01324-7 - Permutations with orders coprime to a given integer
Joint with J. Bamberg, S. P. Glasby, C. E. Praeger
Electronic Journal of Combinatorics 27 (2020) P.16 (14 pages)
arXiv:1807.10450 | doi:10.37236/8678 - Finite groups, 2-generation and the uniform domination number
Joint with T. C. Burness
Israel Journal of Mathematics 239 (2020) 271–367
arXiv:1810.12076 | doi:10.1007/s11856-020-2050-8 - Infinite 3/2-generated groups
Joint with C. Donoven
Bulletin of the London Mathematical Society 52 (2020) 657–673
arXiv:1907.05498 | doi:10.1112/blms.12356 - Connectivity of generating graphs of nilpotent groups
Joint with A. Lucchini
Algebraic Combinatorics 3 (2020) 1183–1195
arXiv:2002.03330 | doi:10.5802/alco.132 - The spread of a finite group
Joint with T. C. Burness and R. M. Guralnick
Annals of Mathematics 193 (2021) 619–687
arXiv:2006.01421 | doi:10.4007/annals.2021.193.2.5 - Shintani descent, simple groups and spread
Journal of Algebra 578 (2021) 319–355
arXiv:2008.02558 | doi:10.1016/j.jalgebra.2021.02.021 - Flexibility in generating sets of finite groups
Archiv der Mathematik 118 (2022) 231–237
arXiv:2111.12534 | doi:10.1007/s00013-021-01691-0 - The maximal size of a minimal generating set
Forum of Mathematics, Sigma 11 (2023) e70 1–10
arXiv:2303.09509 | doi:10.1017/fms.2023.71 - Thompson's group T is 3/2-generated
Joint with C. Bleak and R. Skipper
Israel Journal of Mathematics (to appear)
arXiv:2206.05316 - The spread of finite and infinite groups
Groups St Andrews 2022,
London Mathematical Society Lecture Note Series (to appear)
arXiv:2210.09635 - Totally deranged elements of almost simple groups and invariable generating sets
Journal of the London Mathematical Society (to appear)
arXiv:2304.10213 - Minimal cover groups
Joint with P. J. Cameron, D. Craven, H. R. Dorbidi and B. Sambale
Submitted
arXiv:2311.15652
Other Publications
- The Art of Measuring Symmetry
Science in Parliament 78/2, 2022
link - Guiding Principles for Unlocking the Workforce
Working Paper, VKEMS study group, 2020
paper - On the spread of classical groups
PhD Thesis, University of Bristol, 2019
thesis