Publications

“We adore chaos because we love to produce order.”
– M. C. Escher

Books

Journal Articles

  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. Shintani descent, simple groups and spread
    Journal of Algebra 578 (2021) 319–355
    arXiv:2008.02558 | doi:10.1016/j.jalgebra.2021.02.021
  11. Flexibility in generating sets of finite groups
    Archiv der Mathematik 118 (2022) 231–237
    arXiv:2111.12534 | doi:10.1007/s00013-021-01691-0
  12. Thompson's group T is 3/2-generated
    Joint with C. Bleak and R. Skipper
    Submitted
    arXiv:2206.05316
  13. The spread of finite and infinite groups
    Submitted
    arXiv:2210.09635
  14. The maximal size of a minimal generating set
    Submitted
    arXiv:2303.09509
  15. Totally deranged elements of almost simple groups and invariable generating sets
    Submitted
    arXiv:2304.10213

Other Publications