A geometric approach to complete reducibility M Bate, B Martin, G Röhrle Inventiones mathematicae 161 (1), 177-218, 2005 | 118 | 2005 |

Complete reducibility and separability M Bate, B Martin, G Röhrle, R Tange Transactions of the American Mathematical Society 362 (8), 4283-4311, 2010 | 59 | 2010 |

Closed orbits and uniform 𝑆-instability in geometric invariant theory M Bate, B Martin, G Röhrle, R Tange Transactions of the American Mathematical Society 365 (7), 3643-3673, 2013 | 53 | 2013 |

Cocharacter-closure and the rational Hilbert–Mumford theorem M Bate, S Herpel, B Martin, G Röhrle Mathematische Zeitschrift 287, 39-72, 2017 | 26 | 2017 |

Complete reducibility and commuting subgroups M Bate, B Martin, G Röhrle Walter de Gruyter GmbH & Co. KG 2008 (621), 213-235, 2008 | 19 | 2008 |

Complete reducibility and conjugacy classes of tuples in algebraic groups and Lie algebras M Bate, B Martin, G Röhrle, R Tange Mathematische Zeitschrift 269, 809-832, 2011 | 18 | 2011 |

Complete reducibility and separable field extensions M Bate, B Martin, G Röhrle Comptes Rendus. Mathématique 348 (9-10), 495-497, 2010 | 16 | 2010 |

*G*‐complete reducibility and semisimple modulesM Bate, S Herpel, B Martin, G Röhrle Bulletin of the London Mathematical Society 43 (6), 1069-1078, 2011 | 12 | 2011 |

Cocharacter-closure and spherical buildings M Bate, S Herpel, B Martin, G Röhrle Pacific Journal of Mathematics 279 (1), 65-85, 2015 | 10 | 2015 |

Orbit closures and invariants M Bate, H Geranios, B Martin Mathematische Zeitschrift 293, 1121-1159, 2019 | 9 | 2019 |

On a question of Külshammer for representations of finite groups in reductive groups M Bate, B Martin, G Röhrle Israel Journal of Mathematics 214, 463-470, 2016 | 9 | 2016 |

The strong Centre Conjecture: an invariant theory approach M Bate, B Martin, G Röhrle Journal of Algebra 372, 505-530, 2012 | 9 | 2012 |

On Tits' Centre Conjecture for fixed point subcomplexes M Bate, B Martin, G Röhrle Comptes Rendus Mathematique 347 (7-8), 353-356, 2009 | 9 | 2009 |

The number of homomorphisms from finite groups to classical groups M Bate Journal of Algebra 308 (2), 612-628, 2007 | 9 | 2007 |

Cutoff for a one-sided transposition shuffle ME Bate, SB Connor, O Matheau-Raven The Annals of Applied Probability 31 (4), 1746-1773, 2021 | 6 | 2021 |

On relative complete reducibility C Attenborough, M Bate, M Gruchot, A Litterick, G Röhrle The Quarterly Journal of Mathematics 71 (1), 321-334, 2020 | 6* | 2020 |

Semisimplification for subgroups of reductive algebraic groups M Bate, B Martin, G Röhrle Forum of Mathematics, Sigma 8, e43, 2020 | 6 | 2020 |

𝐺-complete reducibility in non-connected groups M Bate, S Herpel, B Martin, G Röhrle Proceedings of the American Mathematical Society 143 (3), 1085-1100, 2015 | 5 | 2015 |

Optimal subgroups and applications to nilpotent elements M Bate Transformation Groups 14, 29-40, 2009 | 5 | 2009 |

Overgroups of regular unipotent elements in reductive groups M Bate, B Martin, G Röhrle Forum of Mathematics, Sigma 10, e13, 2022 | 4 | 2022 |