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  1. Probabilistic group theory
    joint with M.W. Liebeck and A. Shalev
    in preparation


  2. Classical groups, derangements and primes
    joint with M. Giudici
    Australian Mathematical Society Lecture Series, vol. 25
    Cambridge University Press, 2016, xviii+346
    ISBN: 978-1-1076-2944-8


  3. Irreducible geometric subgroups of classical algebraic groups
    joint with S. Ghandour and D.M. Testerman
    Memoirs of the American Mathematical Society 239 (2016), no. 1130, vi+88
    ISBN: 978-1-4704-1494-8


  4. Irreducible almost simple subgroups of classical algebraic groups
    joint with S. Ghandour, C. Marion and D.M. Testerman
    Memoirs of the American Mathematical Society 236 (2015), no. 1114, vi+110
    ISBN: 978-1-4704-1046-9

Articles and preprints

  1. On solvable factors of almost simple groups
    joint with C.H. Li
    submitted

  2. Topological generation of exceptional algebraic groups
    joint with S. Gerhardt and R.M. Guralnick
    submitted

  3. On the minimal dimension of a finite simple group
    joint with M. Garonzi and A. Lucchini (with an appendix by T.C. Burness and R.M. Guralnick)
    Journal of Combinatorial Theory, Series A, to appear

  4. Finite groups, 2-generation and the uniform domination number
    joint with S. Harper
    Israel Journal of Mathematics, to appear

  5. The length and depth of compact Lie groups
    joint with M.W. Liebeck and A. Shalev
    Mathematische Zeitschrift 294 (2020), 1457-1476

  6. On the Saxl graph of a permutation group
    joint with M. Giudici
    Mathematical Proceedings of the Cambridge Philosophical Society 168 (2020), 219-248

  7. On the length and depth of finite groups
    joint with M.W. Liebeck and A. Shalev (with an appendix by D.R. Heath-Brown)
    Proceedings of the London Mathematical Society 119 (2019), 1464-1492

  8. Simple groups, generation and probabilistic methods
    Groups St Andrews 2017 in Birmingham, London Mathematical Society Lecture Note Series, 455, Cambridge University Press, pp. 200-229, 2019

  9. Irreducible subgroups of simple algebraic groups - a survey
    joint with D.M. Testerman
    Groups St Andrews 2017 in Birmingham, London Mathematical Society Lecture Note Series, 455, Cambridge University Press, pp. 230-260, 2019

  10. $A_1$-type subgroups containing regular unipotent elements
    joint with D.M. Testerman
    Forum of Mathematics, Sigma 7 (2019), e12, 61 pp.

  11. On the uniform domination number of a finite simple group
    joint with S. Harper
    Transactions of the American Mathematical Society 372 (2019), 545-583
    [GAP and Magma code]

  12. The length and depth of algebraic groups
    joint with M.W. Liebeck and A. Shalev
    Mathematische Zeitschrift 291 (2019), 741-760

  13. On base sizes for almost simple primitive groups
    Journal of Algebra 516 (2018), 38-74

  14. On the involution fixity of exceptional groups of Lie type
    joint with A.R. Thomas
    International Journal of Algebra and Computation 28 (2018), 411-466

  15. Locally elusive classical groups
    joint with M. Giudici
    Israel Journal of Mathematics 225 (2018), 343-402

  16. Simple groups, fixed point ratios and applications
    Local Representation Theory and Simple Groups (eds. R. Kessar, G. Malle, D. Testerman)
    EMS Series of Lectures in Mathematics, European Mathematical Society, Zürich
    pp. 267-322, 2018

  17. The depth of a finite simple group
    joint with M.W. Liebeck and A. Shalev
    Proceedings of the American Mathematical Society 146 (2018), 2343-2358

  18. Generation of second maximal subgroups and the existence of special primes
    joint with M.W. Liebeck and A. Shalev
    Forum of Mathematics, Sigma 5 (2017), e25, 41 pp.

  19. On base sizes for algebraic groups
    joint with R.M. Guralnick and J. Saxl
    Journal of the European Mathematical Society (JEMS) 19 (2017), 2269-2341

  20. Permutation groups and derangements of odd prime order
    joint with M. Giudici
    Journal of Combinatorial Theory, Series A 151 (2017), 102-130

  21. On irreducible subgroups of simple algebraic groups
    joint with C. Marion and D.M. Testerman
    Mathematische Annalen 367 (2017), 1259-1309

  22. Primitive permutation groups and derangements of prime power order
    joint with H.P. Tong-Viet
    Manuscripta Mathematica 150 (2016), 255-291

  23. On Pyber's base size conjecture
    joint with Á. Seress
    Transactions of the American Mathematical Society 367 (2015), 5633-5651

  24. Derangements in primitive permutation groups, with an application to character theory
    joint with H.P. Tong-Viet
    Quarterly Journal of Mathematics 66 (2015), 63-96

  25. On the prime graph of simple groups
    joint with E. Covato
    Bulletin of the Australian Mathematical Society 91 (2015), 227-240

  26. Large subgroups of simple groups
    joint with S.H. Alavi
    Journal of Algebra (special issue in memory of Ákos Seress) 421 (2015), 187-233

  27. Base sizes for $\mathcal{S}$-actions of finite classical groups
    joint with R.M. Guralnick and J. Saxl
    Israel Journal of Mathematics 199 (2014), 711-756

  28. Generation and random generation: from simple groups to maximal subgroups
    joint with M.W. Liebeck and A. Shalev
    Advances in Mathematics 248 (2013), 59-95

  29. On the generating graph of direct powers of a simple group
    joint with E. Crestani
    Journal of Algebraic Combinatorics 38 (2013), 329-350

  30. On the uniform spread of almost simple linear groups
    joint with S. Guest
    Nagoya Mathematical Journal 209 (2013), 35-109

  31. Extremely primitive sporadic and alternating groups
    joint with C.E. Praeger and Á. Seress
    Bulletin of the London Mathematical Society 44 (2012), 1147-1154

  32. Extremely primitive classical groups
    joint with C.E. Praeger and Á. Seress
    Journal of Pure and Applied Algebra 216 (2012), 1580-1610

  33. Prime order derangements in primitive permutation groups
    joint with M. Giudici and R.A. Wilson
    Journal of Algebra 341 (2011), 158-178

  34. On base sizes for symmetric groups
    joint with R.M. Guralnick and J. Saxl
    Bulletin of the London Mathematical Society 43 (2011), 386-391

  35. Base sizes for sporadic simple groups
    joint with E.A. O'Brien and R.A. Wilson
    Israel Journal of Mathematics 177 (2010), 307-334

  36. On the number of prime order subgroups of finite groups
    joint with S.D. Scott
    Journal of the Australian Mathematical Society 87 (2009), 329-357

  37. Base sizes for simple groups and a conjecture of Cameron
    joint with M.W. Liebeck and A. Shalev
    Proceedings of the London Mathematical Society 97 (2009), 116-162

  38. On base sizes for actions of finite classical groups
    Journal of the London Mathematical Society 75 (2007), 545-562

  39. Fixed point ratios in actions of finite classical groups, IV
    Journal of Algebra 314 (2007), 749-788

  40. Fixed point ratios in actions of finite classical groups, III
    Journal of Algebra 314 (2007), 693-748

  41. Fixed point ratios in actions of finite classical groups, II
    Journal of Algebra 309 (2007), 80-138

  42. Fixed point ratios in actions of finite classical groups, I
    Journal of Algebra 309 (2007), 69-79

  43. Fixed point spaces in actions of classical algebraic groups
    Journal of Group Theory 7 (2004), 311-346

  44. Fixed point spaces in primitive actions of simple algebraic groups
    Journal of Algebra 265 (2003), 744-771

Theses

  1. Fixed point spaces in actions of finite and algebraic simple groups
    Ph.D. thesis, Imperial College London (2005)

  2. Reductive algebraic groups and Tits systems
    M.Sc. thesis, University of Warwick (2001)