Edit Profile (opens in new tab) Bate, Michael Edward Co-Author Distance Author ID: bate.michael Published as: Bate, Michael; Bate, Michael E. External Links: MGP · ORCID Documents Indexed: 31 Publications since 2005, including 5 Additional arXiv Preprints Reviewing Activity: 80 Reviews Co-Authors: 17 Co-Authors with 28 Joint Publications 99 Co-Co-Authors all top 5 Co-Authors 3 single-authored 22 Röhrle, Gerhard E. 21 Martin, Benjamin M. S. 4 Herpel, Sebastian 3 Stewart, David I. 3 Tange, Rudolf 2 Böhm, Sören 2 Connor, Stephen B. 2 Litterick, Alastair James 1 Attenborough, Christopher 1 Everitt, Brent 1 Ford, Sam 1 Geranios, Haralampos 1 Gruchot, Maike 1 Gullon, Alec 1 Matheau-Raven, Oliver 1 Sercombe, Damian 1 Voggesberger, Laura all top 5 Serials 3 Mathematische Zeitschrift 2 Journal of Algebra 2 Transactions of the American Mathematical Society 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Forum of Mathematics, Sigma 1 Israel Journal of Mathematics 1 Bulletin of the London Mathematical Society 1 Glasgow Mathematical Journal 1 Inventiones Mathematicae 1 Journal für die Reine und Angewandte Mathematik 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 The Annals of Applied Probability 1 Bernoulli 1 Transformation Groups 1 Journal of the European Mathematical Society (JEMS) 1 The Quarterly Journal of Mathematics 1 Innovations in Incidence Geometry 1 European Journal of Mathematics Fields 28 Group theory and generalizations (20-XX) 14 Algebraic geometry (14-XX) 2 Combinatorics (05-XX) 2 Geometry (51-XX) 2 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 22 Publications have been cited 196 times in 67 Documents Cited by ▼ Year ▼ A geometric approach to complete reducibility. Zbl 1092.20038 Bate, Michael; Martin, Benjamin; Röhrle, Gerhard 51 2005 Complete reducibility and separability. Zbl 1204.20063 Bate, Michael; Martin, Benjamin; Röhrle, Gerhard; Tange, Rudolf 29 2010 Closed orbits and uniform \(S\)-instability in geometric invariant theory. Zbl 1284.20051 Bate, Michael; Martin, Benjamin; Röhrle, Gerhard; Tange, Rudolf 26 2013 Complete reducibility and separable field extensions. Zbl 1216.20037 Bate, Michael; Martin, Benjamin; Röhrle, Gerhard 13 2010 Cocharacter-closure and the rational Hilbert-Mumford theorem. Zbl 1446.20070 Bate, Michael; Herpel, Sebastian; Martin, Benjamin; Röhrle, Gerhard 12 2017 Complete reducibility and commuting subgroups. Zbl 1152.20041 Bate, Michael; Martin, Benjamin; Röhrle, Gerhard 12 2008 Complete reducibility and conjugacy classes of tuples in algebraic groups and Lie algebras. Zbl 1242.20058 Bate, Michael; Martin, Benjamin; Röhrle, Gerhard; Tange, Rudolf 8 2011 On Tits’ centre conjecture for fixed point subcomplexes. Zbl 1223.20041 Bate, Michael; Martin, Benjamin; Röhrle, Gerhard 7 2009 Cocharacter-closure and spherical buildings. Zbl 1364.20034 Bate, Michael; Herpel, Sebastian; Martin, Benjamin; Röhrle, Gerhard 7 2015 \(G\)-complete reducibility and semisimple modules. Zbl 1245.20056 Bate, Michael; Herpel, Sebastian; Martin, Benjamin; Röhrle, Gerhard 4 2011 Semisimplification for subgroups of reductive algebraic groups. Zbl 1485.20117 Bate, Michael; Martin, Benjamin; Röhrle, Gerhard 4 2020 On a question of Külshammer for representations of finite groups in reductive groups. Zbl 1353.20030 Bate, Michael; Martin, Benjamin; Röhrle, Gerhard 4 2016 Optimal subgroups and applications to nilpotent elements. Zbl 1266.14037 Bate, Michael 3 2009 \(G\)-complete reducibility in non-connected groups. Zbl 1314.20036 Bate, Michael; Herpel, Sebastian; Martin, Benjamin; Röhrle, Gerhard 3 2015 The strong centre conjecture: an invariant theory approach. Zbl 1291.51007 Bate, Michael; Martin, Benjamin; Röhrle, Gerhard 3 2012 The number of homomorphisms from finite groups to classical groups. Zbl 1123.20019 Bate, Michael 2 2007 Mixing time and cutoff for a random walk on the ring of integers mod \(n\). Zbl 1429.60008 Bate, Michael; Connor, Stephen 2 2018 On relative complete reducibility. Zbl 1481.20174 Attenborough, Christopher; Bate, Michael; Gruchot, Maike; Litterick, Alastair; Röhrle, Gerhard 2 2020 Orbit closures and invariants. Zbl 1430.14091 Bate, Michael; Geranios, Haralampos; Martin, Benjamin 1 2019 Irreducible modules for pseudo-reductive groups. Zbl 07523086 Bate, Michael; Stewart, David I. 1 2022 Overgroups of regular unipotent elements in reductive groups. Zbl 07499561 Bate, Michael; Martin, Benjamin; Röhrle, Gerhard 1 2022 On unipotent radicals of pseudo-reductive groups. Zbl 1485.20118 Bate, Michael; Martin, Benjamin; Röhrle, Gerhard; Stewart, David I. 1 2019 Irreducible modules for pseudo-reductive groups. Zbl 07523086 Bate, Michael; Stewart, David I. 1 2022 Overgroups of regular unipotent elements in reductive groups. Zbl 07499561 Bate, Michael; Martin, Benjamin; Röhrle, Gerhard 1 2022 Semisimplification for subgroups of reductive algebraic groups. Zbl 1485.20117 Bate, Michael; Martin, Benjamin; Röhrle, Gerhard 4 2020 On relative complete reducibility. Zbl 1481.20174 Attenborough, Christopher; Bate, Michael; Gruchot, Maike; Litterick, Alastair; Röhrle, Gerhard 2 2020 Orbit closures and invariants. Zbl 1430.14091 Bate, Michael; Geranios, Haralampos; Martin, Benjamin 1 2019 On unipotent radicals of pseudo-reductive groups. Zbl 1485.20118 Bate, Michael; Martin, Benjamin; Röhrle, Gerhard; Stewart, David I. 1 2019 Mixing time and cutoff for a random walk on the ring of integers mod \(n\). Zbl 1429.60008 Bate, Michael; Connor, Stephen 2 2018 Cocharacter-closure and the rational Hilbert-Mumford theorem. Zbl 1446.20070 Bate, Michael; Herpel, Sebastian; Martin, Benjamin; Röhrle, Gerhard 12 2017 On a question of Külshammer for representations of finite groups in reductive groups. Zbl 1353.20030 Bate, Michael; Martin, Benjamin; Röhrle, Gerhard 4 2016 Cocharacter-closure and spherical buildings. Zbl 1364.20034 Bate, Michael; Herpel, Sebastian; Martin, Benjamin; Röhrle, Gerhard 7 2015 \(G\)-complete reducibility in non-connected groups. Zbl 1314.20036 Bate, Michael; Herpel, Sebastian; Martin, Benjamin; Röhrle, Gerhard 3 2015 Closed orbits and uniform \(S\)-instability in geometric invariant theory. Zbl 1284.20051 Bate, Michael; Martin, Benjamin; Röhrle, Gerhard; Tange, Rudolf 26 2013 The strong centre conjecture: an invariant theory approach. Zbl 1291.51007 Bate, Michael; Martin, Benjamin; Röhrle, Gerhard 3 2012 Complete reducibility and conjugacy classes of tuples in algebraic groups and Lie algebras. Zbl 1242.20058 Bate, Michael; Martin, Benjamin; Röhrle, Gerhard; Tange, Rudolf 8 2011 \(G\)-complete reducibility and semisimple modules. Zbl 1245.20056 Bate, Michael; Herpel, Sebastian; Martin, Benjamin; Röhrle, Gerhard 4 2011 Complete reducibility and separability. Zbl 1204.20063 Bate, Michael; Martin, Benjamin; Röhrle, Gerhard; Tange, Rudolf 29 2010 Complete reducibility and separable field extensions. Zbl 1216.20037 Bate, Michael; Martin, Benjamin; Röhrle, Gerhard 13 2010 On Tits’ centre conjecture for fixed point subcomplexes. Zbl 1223.20041 Bate, Michael; Martin, Benjamin; Röhrle, Gerhard 7 2009 Optimal subgroups and applications to nilpotent elements. Zbl 1266.14037 Bate, Michael 3 2009 Complete reducibility and commuting subgroups. Zbl 1152.20041 Bate, Michael; Martin, Benjamin; Röhrle, Gerhard 12 2008 The number of homomorphisms from finite groups to classical groups. Zbl 1123.20019 Bate, Michael 2 2007 A geometric approach to complete reducibility. Zbl 1092.20038 Bate, Michael; Martin, Benjamin; Röhrle, Gerhard 51 2005 all cited Publications top 5 cited Publications all top 5 Cited by 63 Authors 18 Bate, Michael Edward 18 Röhrle, Gerhard E. 15 Martin, Benjamin M. S. 6 Litterick, Alastair James 6 Stewart, David I. 6 Uchiyama, Tomohiro 5 Herpel, Sebastian 3 Gille, Philippe 3 Gruchot, Maike 3 Guralnick, Robert Michael 3 Tange, Rudolf 3 Thomas, Adam R. 2 Ayyer, Arvind 2 Bannuscher, Falk 2 McNinch, George J. 2 Pianzola, Arturo 2 Premet, Alexander A. 2 Testerman, Donna M. 1 Baranov, Alexander A. 1 Beck, Nikolai 1 Bhaskar Sharma, Uday 1 Böhm, Sören 1 Cai, Yichang 1 Casimiro, Ana Cristina 1 Dao, Phuong Bac 1 De Concini, Corrado 1 Derksen, Harm 1 Arango Florentino, Carlos Armindo 1 Garibaldi, Skip 1 Geranios, Haralampos 1 Gold, Daniel 1 Goodbourn, Oliver 1 Guiraud, David-Alexandre 1 Gullon, Alec 1 Kleshchev, Alexander S. 1 Knop, Friedrich 1 Korhonen, Mikko 1 Lafforgue, Vincent 1 Lawrence, Brian 1 Littelmann, Peter 1 Lond, Daniel 1 Makam, Visu 1 Mühlherr, Bernhard Matthias 1 Nadler, David 1 Parker, Chris W. 1 Plotkin, Boris 1 Plotkin, Eugene 1 Ramos-Cuevas, Carlos 1 Rörhle, Gerhard 1 Seitz, Gary M. 1 Shu, Cheng 1 Sikora, Adam S. 1 Steinberg, Benjamin 1 Tent, Katrin 1 Tiep Pham Huu 1 Tilouine, Jacques 1 Vavilov, Nikolaĭ Aleksandrovich 1 Venkatesh, Akshay 1 Voggesberger, Laura 1 Weiss, Richard Mark 1 Yun, Zhiwei 1 Zalesski, Alexandre Efimovich 1 Zel’manov, Efim Isaakovich all top 5 Cited in 33 Serials 8 Journal of Algebra 7 Transactions of the American Mathematical Society 4 Memoirs of the American Mathematical Society 4 Journal of Group Theory 3 Communications in Algebra 3 Mathematische Zeitschrift 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Forum of Mathematics, Sigma 2 Israel Journal of Mathematics 2 Archiv der Mathematik 2 Proceedings of the American Mathematical Society 2 Journal of the American Mathematical Society 2 Transformation Groups 2 European Journal of Mathematics 1 Annales de l’Institut Fourier 1 Compositio Mathematica 1 Geometriae Dedicata 1 Glasgow Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Annalen 1 International Journal of Mathematics 1 Selecta Mathematica. New Series 1 Algebras and Representation Theory 1 LMS Journal of Computation and Mathematics 1 Oberwolfach Reports 1 Innovations in Incidence Geometry 1 Algebra & Number Theory 1 Forum of Mathematics, Pi 1 Journal of Combinatorial Algebra 1 Algebraic Combinatorics all top 5 Cited in 16 Fields 51 Group theory and generalizations (20-XX) 30 Algebraic geometry (14-XX) 8 Nonassociative rings and algebras (17-XX) 7 Geometry (51-XX) 6 Number theory (11-XX) 5 Combinatorics (05-XX) 3 Commutative algebra (13-XX) 3 Category theory; homological algebra (18-XX) 2 Topological groups, Lie groups (22-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) Citations by Year