Personal profile
Academic/Professional Qualification
Research overview
Structural properties of groups and related algebraic structures, including both infinite and finite groups.
Examples of topics considered include: generating sets for groups and other algebraic structures; probabilistic generation of finite and profinite groups; links between the algebraic structure and the topological structure of profinite groups; groups arising from transformations of various combinatorial structures.
See also: personal webpage
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Collaborations and top research areas from the last five years
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Automorphism groups of linearly ordered structures and endomorphisms of the ordered set (Q,≤) of rational numbers
McPhee, J. D., Mitchell, J. D. & Quick, M., Mar 2019, In: Quarterly Journal of Mathematics. 70, 1, p. 171-194 24 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
Permutation-based presentations for Brin's higher-dimensional Thompson groups nV
Quick, M., 1 Feb 2024, In: Journal of the Australian Mathematical Society. 116, 1, p. 39-67 29 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
The infinite simple group V of Richard J. Thompson: presentations by permutations
Bleak, C. & Quick, M., 2017, In: Groups, Geometry, and Dynamics. 11, 4, p. 1401-1436 36 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
Automorphism groups of countable algebraically closed graphs and endomorphisms of the random graph
Dolinka, I., Gray, R. D., McPhee, J. D., Mitchell, J. D. & Quick, M., May 2016, In: Mathematical Proceedings of the Cambridge Philosophical Society. 160, 3, p. 437-462 26 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
The probability of generating a finite simple group
Menezes, N. E., Quick, M. & Roney-Dougal, C. M., Nov 2013, In: Israel Journal of Mathematics. 198, 1, p. 371-392 22 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile
Projects
- 3 Finished
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Automata Languages Decidability: Automata, Languages, Decidability in Algebra
Ruskuc, N. (PI) & Quick, M. (CoI)
1/03/10 → 31/05/14
Project: Standard
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EP/C523229/1: Multidisciplinary Critical Mass in Computational Algebra and Applications
Linton, S. (PI), Gent, I. (CoI), Leonhardt, U. (CoI), Mackenzie, A. (CoI), Miguel, I. (CoI), Quick, M. (CoI) & Ruskuc, N. (CoI)
1/09/05 → 31/08/10
Project: Standard
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EP/C523229/1: Multidisciplinary Critical Mass in Computational Algebra and Applications
Ruskuc, N. (PI) & Quick, M. (CoI)
1/09/05 → 31/08/10
Project: Standard
Activities
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Proceedings of the Edinburgh Mathematical Society (Journal)
Quick, M. (Member of editorial board)
12 Oct 2018 → 12 Oct 2021Activity: Publication peer-review and editorial work types › Editor of research journal
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Edinburgh Mathematical Society (External organisation)
Quick, M. (Participant)
Oct 2018 → Oct 2021Activity: Membership types › Membership in special-interest organisation
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British Mathematical Colloquium 2018
Quick, M. (Participant)
2018Activity: Participating in or organising an event types › Participation in or organising a conference
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Groups St Andrews 2017 in Birmingham
Quick, M. (Participant)
2017Activity: Participating in or organising an event types › Participation in or organising a conference
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Type systems and maximal subgroups of Thompson's group V
Quick, M. (Speaker)
13 Nov 2024Activity: Talk or presentation types › Invited talk
Prizes
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Research Fellow / Temporary Lecturer in Pure Mathematics, University of Birmingham, 1999-2003
Quick, M. (Recipient), 1999
Prize: Appointment