Books and monographs
 Probabilistic group theory
joint with M.W. Liebeck and A. Shalev
in preparation
 Classical groups, derangements and primes
joint with M. Giudici
Australian Mathematical Society Lecture Series, vol. 25
Cambridge University Press, 2016, xviii+346
ISBN: 9781107629448
 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: 9781470414948
 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: 9781470410469
Articles and preprints
 On solvable factors of almost simple groups
joint with C.H. Li
submitted
 Topological generation of exceptional algebraic groups
joint with S. Gerhardt and R.M. Guralnick
submitted
 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
 Finite groups, 2generation and the uniform domination number
joint with S. Harper
Israel Journal of Mathematics, to appear
 The length and depth of compact Lie groups
joint with M.W. Liebeck and A. Shalev
Mathematische Zeitschrift 294 (2020), 14571476
 On the Saxl graph of a permutation group
joint with M. Giudici
Mathematical Proceedings of the Cambridge Philosophical Society 168 (2020), 219248
 On the length and depth of finite groups
joint with M.W. Liebeck and A. Shalev (with an appendix by D.R. HeathBrown)
Proceedings of the London Mathematical Society 119 (2019), 14641492
 Simple groups, generation and probabilistic methods
Groups St Andrews 2017 in Birmingham, London Mathematical Society Lecture Note Series, 455, Cambridge University Press, pp. 200229, 2019
 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. 230260, 2019
 $A_1$type subgroups containing regular unipotent elements
joint with D.M. Testerman
Forum of Mathematics, Sigma 7 (2019), e12, 61 pp.
 On the uniform domination number of a finite simple group
joint with S. Harper
Transactions of the American Mathematical Society 372 (2019), 545583
[GAP and Magma code]
 The length and depth of algebraic groups
joint with M.W. Liebeck and A. Shalev
Mathematische Zeitschrift 291 (2019), 741760
 On base sizes for almost simple primitive groups
Journal of Algebra 516 (2018), 3874
 On the involution fixity of exceptional groups of Lie type
joint with A.R. Thomas
International Journal of Algebra and Computation 28 (2018), 411466
 Locally elusive classical groups
joint with M. Giudici
Israel Journal of Mathematics 225 (2018), 343402
 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. 267322, 2018
 The depth of a finite simple group
joint with M.W. Liebeck and A. Shalev
Proceedings of the American Mathematical Society 146 (2018), 23432358
 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.
 On base sizes for algebraic groups
joint with R.M. Guralnick and J. Saxl
Journal of the European Mathematical Society (JEMS) 19 (2017), 22692341
 Permutation groups and derangements of odd prime order
joint with M. Giudici
Journal of Combinatorial Theory, Series A 151 (2017), 102130
 On irreducible subgroups of simple algebraic groups
joint with C. Marion and D.M. Testerman
Mathematische Annalen 367 (2017), 12591309
 Primitive permutation groups and derangements of prime power order
joint with H.P. TongViet
Manuscripta Mathematica 150 (2016), 255291
 On Pyber's base size conjecture
joint with Á. Seress
Transactions of the American Mathematical Society 367 (2015), 56335651
 Derangements in primitive permutation groups, with an application to character theory
joint with H.P. TongViet
Quarterly Journal of Mathematics 66 (2015), 6396
 On the prime graph of simple groups
joint with E. Covato
Bulletin of the Australian Mathematical Society 91 (2015), 227240
 Large subgroups of simple groups
joint with S.H. Alavi
Journal of Algebra (special issue in memory of Ákos Seress) 421 (2015), 187233
 Base sizes for $\mathcal{S}$actions of finite classical groups
joint with R.M. Guralnick and J. Saxl
Israel Journal of Mathematics 199 (2014), 711756
 Generation and random generation: from simple groups to maximal subgroups
joint with M.W. Liebeck and A. Shalev
Advances in Mathematics 248 (2013), 5995
 On the generating graph of direct powers of a simple group
joint with E. Crestani
Journal of Algebraic Combinatorics 38 (2013), 329350
 On the uniform spread of almost simple linear groups
joint with S. Guest
Nagoya Mathematical Journal 209 (2013), 35109
 Extremely primitive sporadic and alternating groups
joint with C.E. Praeger and Á. Seress
Bulletin of the London Mathematical Society 44 (2012), 11471154
 Extremely primitive classical groups
joint with C.E. Praeger and Á. Seress
Journal of Pure and Applied Algebra 216 (2012), 15801610
 Prime order derangements in primitive permutation groups
joint with M. Giudici and R.A. Wilson
Journal of Algebra 341 (2011), 158178
 On base sizes for symmetric groups
joint with R.M. Guralnick and J. Saxl
Bulletin of the London Mathematical Society 43 (2011), 386391
 Base sizes for sporadic simple groups
joint with E.A. O'Brien and R.A. Wilson
Israel Journal of Mathematics 177 (2010), 307334
 On the number of prime order subgroups of finite groups
joint with S.D. Scott
Journal of the Australian Mathematical Society 87 (2009), 329357
 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), 116162
 On base sizes for actions of finite classical groups
Journal of the London Mathematical Society 75 (2007), 545562
 Fixed point ratios in actions of finite classical groups, IV
Journal of Algebra 314 (2007), 749788
 Fixed point ratios in actions of finite classical groups, III
Journal of Algebra 314 (2007), 693748
 Fixed point ratios in actions of finite classical groups, II
Journal of Algebra 309 (2007), 80138
 Fixed point ratios in actions of finite classical groups, I
Journal of Algebra 309 (2007), 6979
 Fixed point spaces in actions of classical algebraic groups
Journal of Group Theory 7 (2004), 311346
 Fixed point spaces in primitive actions of simple algebraic groups
Journal of Algebra 265 (2003), 744771
Theses
 Fixed point spaces in actions of finite and algebraic simple groups
Ph.D. thesis, Imperial College London (2005)
 Reductive algebraic groups and Tits systems
M.Sc. thesis, University of Warwick (2001)
