Publications

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

This page features a list of my publications. See the Research page for a description of my research.

  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 | 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 | 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 | 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 | doi:10.37236/8678
  6. Infinite 3/2-generated groups
    Joint with C. Donoven
    Bulletin of the London Mathematical Society 52 657–673
    arXiv | doi:10.1112/blms.12356
  7. Finite groups, 2-generation and the uniform domination number
    Joint with T. C. Burness
    Israel Journal of Mathematics, to appear (appears online)
    arXiv | doi:10.1007/s11856-020-2050-8
  8. Connectivity of generating graphs of nilpotent groups
    Joint with A. Lucchini
    Algebraic Combinatorics, to appear
    arXiv
  9. The spread of almost simple classical groups
    Submitted
    arXiv
  10. The spread of a finite group
    Joint with T. C. Burness and R. M. Guralnick
    Submitted
    arXiv
  11. Shintani descent, simple groups and spread
    Submitted
    arXiv