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


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
  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
  13. The spread of finite and infinite groups
  14. The maximal size of a minimal generating set
  15. Totally deranged elements of almost simple groups and invariable generating sets

Other Publications