| Classical groups, derangements and primes TC Burness, M Giudici Cambridge University Press, 2016 | 100 | 2016 |
| Base sizes for simple groups and a conjecture of Cameron TC Burness, MW Liebeck, A Shalev Proceedings of the London Mathematical Society 98 (1), 116-162, 2009 | 88 | 2009 |
| Base sizes for sporadic simple groups TC Burness, EA O’brien, RA Wilson Israel Journal of Mathematics 177, 307-333, 2010 | 85 | 2010 |
| On base sizes for symmetric groups TC Burness, RM Guralnick, J Saxl Bulletin of the London Mathematical Society 43 (2), 386-391, 2011 | 75 | 2011 |
| On base sizes for actions of finite classical groups TC Burness Journal of the London Mathematical Society 75 (3), 545-562, 2007 | 69 | 2007 |
| Fixed point ratios in actions of finite classical groups, II TC Burness Journal of Algebra 309 (1), 80-138, 2007 | 64 | 2007 |
| Large subgroups of simple groups SH Alavi, TC Burness Journal of Algebra 421, 187-233, 2015 | 48 | 2015 |
| Fixed point ratios in actions of finite classical groups, III TC Burness Journal of Algebra 314 (2), 693-748, 2007 | 39 | 2007 |
| On base sizes for algebraic groups TC Burness, RM Guralnick, J Saxl Journal of the European Mathematical Society 19 (8), 2269-2341, 2017 | 33 | 2017 |
| On the uniform spread of almost simple linear groups TC Burness, S Guest Nagoya Mathematical Journal 209, 35-109, 2013 | 33 | 2013 |
| The spread of a finite group TC Burness, RM Guralnick, S Harper Annals of Mathematics 193 (2), 619-687, 2021 | 32 | 2021 |
| Finite groups, 2-generation and the uniform domination number TC Burness, S Harper Israel Journal of Mathematics 239, 271-367, 2020 | 21 | 2020 |
| Simple groups, fixed point ratios and applications TC Burness arXiv preprint arXiv:1707.03564, 2017 | 21 | 2017 |
| Base sizes for S-actions of finite classical groups TC Burness, RM Guralnick, J Saxl Israel Journal of Mathematics 199, 711-756, 2014 | 21 | 2014 |
| On Pyber’s base size conjecture T Burness, Á Seress Transactions of the American Mathematical Society 367 (8), 5633-5651, 2015 | 20 | 2015 |
| Irreducible geometric subgroups of classical algebraic groups T Burness, S Ghandour, D Testerman American Mathematical Society 239 (1130), 2016 | 19 | 2016 |
| Generation and random generation: from simple groups to maximal subgroups TC Burness, MW Liebeck, A Shalev Advances in Mathematics 248, 59-95, 2013 | 19 | 2013 |
| Base sizes for primitive groups with soluble stabilisers TC Burness Algebra & Number Theory 15 (7), 1755-1807, 2021 | 17 | 2021 |
| Fixed point spaces in actions of classical algebraic groups TC Burness Walter de Gruyter GmbH & Co. KG 7 (3), 311-346, 2004 | 17 | 2004 |
| Derangements in primitive permutation groups, with an application to character theory TC Burness, HP Tong-Viet The Quarterly Journal of Mathematics 66 (1), 63-96, 2015 | 16 | 2015 |
