Professor Benjamin Martin | The University of Aberdeen

Professor Benjamin Martin

Personal Chair

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Email Address: b.martin@abdn.ac.uk
Telephone Number: +44 (0)1224 272759
Office Address: Fraser Noble 155
School/Department: School of Natural and Computing Sciences

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Latest Publications

Essential tori in 3-manifolds not detected in any characteristic
2024 - Published
Garden, G. S., Martin, B., Tillmann, S.
Working Papers: Preprint Papers
- [OPEN ACCESS] https://pure.abdn.ac.uk/ws/files/299632057/2411.15680v1.pdf
Powers of commutators in linear algebraic groups
2024 - Published
Martin, B.
Proceedings of the Edinburgh Mathematical Society, vol. 67, pp. 830–837
Contributions to Journals: Articles
- [ONLINE] DOI: https://doi.org/10.1017/S0013091524000361
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/24472/2/Martin_PEMS_Powers_of_commutators_VOR.pdf
On overgroups of distinguished unipotent elements in reductive groups and finite groups of Lie type
2024 - Published
Bate, M., Böhm, S., Martin, B., Roehrle, G.
Working Papers: Preprint Papers
- [ONLINE] DOI: https://doi.org/10.48550/arXiv.2407.16379
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/24148/1/2407.16379v1.pdf
G-complete reducibility and saturation
2024 - Published
Bate, M., Böhm, S., Litterick, A., Martin, B., Roehrle, G.
Working Papers: Preprint Papers
- [ONLINE] DOI: https://doi.org/10.48550/arXiv.2401.16927
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/22731/1/2401.16927v1.pdf
Complete reducibility for Lie subalgebras and semisimplification
2023 - Published
Bate, M., Böhm, S., Martin, B., Roehrle, G., Voggesberger, L.
European Journal of Mathematics, vol. 9, 116
Contributions to Journals: Articles
- [ONLINE] http://arxiv.org/abs/2305.00841v1
- [ONLINE] DOI: https://doi.org/10.1007/s40879-023-00710-4
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/20734/1/2305.00841v1.pdf
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/20734/2/Bate_etal_EJM_Complete_Reducibility_For_VoR.pdf

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Publications

Page 2 of 3 Results 11 to 20 of 21

Semisimplification for Subgroups of Reductive Algebraic Groups
2020 - Published
Bate, M., Martin, B., Roehrle, G.
Forum of Mathematics, Sigma, vol. 8, pp. 1-10
Contributions to Journals: Articles
- [ONLINE] https://arxiv.org/abs/2004.08105
- [ONLINE] DOI: https://doi.org/10.1017/fms.2020.30
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/15895/1/Bate_etal_Semisimplification_for_subgroups_VOR.pdf
Orbit Closures and Invariants
2019 - Published
Bate, M., Geranios, H., Martin, B.
Mathematische Zeitschrift, vol. 293, no. 3-4, pp. 1121-1159
Contributions to Journals: Articles
- [ONLINE] https://arxiv.org/abs/1604.00924
- [ONLINE] DOI: https://doi.org/10.1007/s00209-019-02228-6
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/11836/2/Bate2019_MZ_OrbitClosuresAndInvariants_VoR.pdf
- [ONLINE] View publication in Scopus
- [ONLINE] View publication in Mendeley
- [ONLINE] https://abdn.pure.elsevier.com/en/en/researchoutput/orbit-closures-and-invariants(02bb85f2-4c0f-4c2a-8309-e82b90b356d0).html
On Unipotent Radicals of Pseudo-Reductive Groups
2019 - Published
Bate, M., Martin, B., Röhrle, G., Stewart, D. I.
The Michigan Mathematical Journal, vol. 68, no. 2, pp. 277-299
Contributions to Journals: Articles
- [ONLINE] https://arxiv.org/abs/1704.04385
- [ONLINE] DOI: https://doi.org/10.1307/mmj/1550480563
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/11518/3/MMJ5377.pdf
- [ONLINE] View publication in Mendeley
- [ONLINE] View publication in Scopus
A proof of the first Kac-Weisfeiler conjecture in large characteristics
2019 - Published
Martin, B., Stewart, D. I., Topley, L., Tikaradze, A.
Representation Theory, vol. 23, pp. 278-293
Contributions to Journals: Articles
- [ONLINE] http://arxiv.org/abs/1810.12632v1
- [ONLINE] DOI: https://doi.org/10.1090/ert/529
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/12662/2/1810.12632v1.pdf
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/12662/1/GenericKW1withAppendix_AAM.pdf
- [ONLINE] View publication in Scopus
Definable equivalence relations and zeta functions of groups
2018 - Published
Hrushovski, E., Martin, B., Rideau, S., Cluckers, R.
Journal of the European Mathematical Society, vol. 20, no. 10, pp. 2467-2537
Contributions to Journals: Articles
- [ONLINE] https://arxiv.org/abs/math/0701011
- [ONLINE] DOI: https://doi.org/10.4171/JEMS/817
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/12588/1/zeta_EIp.pdf
On a question of Külshammer for homomorphisms of algebraic groups
2018 - Published
Lond, D., Martin, B.
Journal of Algebra, vol. 497, pp. 164-198
Contributions to Journals: Articles
- [ONLINE] https://arxiv.org/abs/1610.09665
- [ONLINE] DOI: https://doi.org/10.1016/j.jalgebra.2017.08.031
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/11206/1/kulshammer.pdf
Cocharacter-closure and the rational Hilbert-Mumford Theorem
2017 - Published
Bate, M., Herpel, S., Martin, B., Roehrle, G.
Mathematische Zeitschrift, vol. 287, no. 1-2, pp. 39-72
Contributions to Journals: Articles
- [ONLINE] http://arxiv.org/abs/1411.7849v2
- [ONLINE] DOI: https://doi.org/10.1007/s00209-016-1816-5
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/5047/3/Cocharacter_closure_and_the_rational_Hilbert_Mumford_Theorem.pdf
On a question of Külshammer for representations of finite groups in reductive groups
2016 - Published
Bate, M., Martin, B., Rohrle, G.
Israel Journal of Mathematics, vol. 214, no. 1, pp. 463-470
Contributions to Journals: Articles
- [ONLINE] DOI: https://doi.org/10.1007/s11856-016-1337-2
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/8893/1/kuls.pdf
Cocharacter-closure and spherical buildings
2015 - Published
Bate, M., Herpel, S., Martin, B., Rohrle, G.
Pacific Journal of Mathematics, vol. 279, no. 1-2, pp. 65-85
Contributions to Journals: Articles
- [ONLINE] DOI: https://doi.org/10.2140/pjm.2015.279.65
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/5370/1/pjm_v279_n1_p04_p.pdf
Generic stabilisers for actions of reductive groups
2015 - Published
Martin, B.
Pacific Journal of Mathematics, vol. 279, no. 1-2, pp. 397-422
Contributions to Journals: Articles
- [ONLINE] DOI: https://doi.org/10.2140/pjm.2015.279.397
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/5371/1/pjm_v279_n1_p18_p.pdf

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Latest Publications

Essential tori in 3-manifolds not detected in any characteristic

Powers of commutators in linear algebraic groups

On overgroups of distinguished unipotent elements in reductive groups and finite groups of Lie type

G-complete reducibility and saturation

Complete reducibility for Lie subalgebras and semisimplification

Semisimplification for Subgroups of Reductive Algebraic Groups

Orbit Closures and Invariants

On Unipotent Radicals of Pseudo-Reductive Groups

A proof of the first Kac-Weisfeiler conjecture in large characteristics

Definable equivalence relations and zeta functions of groups

On a question of Külshammer for homomorphisms of algebraic groups

Cocharacter-closure and the rational Hilbert-Mumford Theorem

On a question of Külshammer for representations of finite groups in reductive groups

Cocharacter-closure and spherical buildings

Generic stabilisers for actions of reductive groups

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