Preprints

Translational hulls of semigroups of endomorphisms of an algebra, with V. Gould, A. Grau and M. Kambites, arxiv.org/abs/2404.14005

The structure of End(Tn), with V. Gould and A. Grau, arxiv.org/abs/2307.11596.

Feasability of Learning Weighted Automata on a Semiring, with L. Daviaud, arxiv.org/abs/2309.07806

Journal articles (MathSciNet reviews of my papers. My Google Scholar entry.)

[30] Representations and identities of plactic-like monoids, with Alan Cain, Mark Kambites and António Malheiro, Journal of Algebra 606 (2022), 819–850.
(Preprint version available at arXiv:2107.04492.)

[29] Tropical Representations of Plactic Monoids, with Mark Kambites, Transactions of the American Mathematical Society 374 (2021), no. 6, 4423–4447.
(Preprint version available at arXiv:1906.03991.)

[28] Linear functions preserving Green's relations over fields, with Alexander Guterman, Mark Kambites and Artem Maksaev, Linear Algebra and its Applications, Vol.611 (2021), pp.310-333.
(Preprint version available at arXiv:2007.09054.)

[27] Matrix semigroups over semirings, with Victoria Gould and Munazza Naz, International Journal of Algebra and Computation, Vol. 30, No. 02, pp. 267-337 (2020).
(Preprint version available at arXiv:1907.12518.)

[26] Geometry and algorithms for upper triangular tropical matrix identities, with Ngoc Mai Tran.
Journal of Algebra 530 (2019), Pages 470-507. (Preprint available at arXiv:1806.01835 .)

[25] Identities in unitriangular and gossip monoids, with Peter Fenner,
Semigroup Forum 98 (2019), Issue 2, pp 338-354.
(Preprint available at arXiv:1804.11100 .)

[24] NP-completeness in the gossip monoid, with Peter Fenner and Mark Kambites.
International Journal of Algebra and Computation, Vol. 28, No. 4 (2018), Pages 653-672.
(Preprint available at arXiv:1606.01026.)

[23] Identities in Upper Triangular Tropical Matrix Semigroups and the Bicyclic Monoid,
with Laure Daviaud and Mark Kambites.
Journal of Algebra, Volume 501 (2018), Pages 503-525.
(Preprint version available at arXiv:1612.04219.)

[22] Linear isomorphisms preserving Green's relations for matrices over semirings,
with Alexander Guterman and Mark Kambites.
Linear Algebra and its Applications, Volume 545 (2018), Pages 1-14.
(Preprint available at arXiv:1709.05277.)

[21] Tropical matrix groups, with Zur Izhakian and Mark Kambites.
Semigroup Forum, 96 (2018) Issue 1, pp 178-196.

[20] Face monoid actions and tropical hyperplane arrangements, with Mark Kambites.
International Journal of Algebra and Computation 27 (2017), no. 8, 1001-1025.
(Preprint version available at arXiv:1604.03016.)

[19] The Shortest Identities for Max-Plus Automata with Two States, with Laure Daviaud.
Proc. 42nd International Symposium on Mathematical Foundations of Computer Science (MFCS 2017),
in Leibniz International Proceedings in Informatics (LIPIcs), vol. 83, 48:1-48:13, Kim G. Larsen et. al (eds.), Dagstuhl, Germany, 2017.

[18] L. G. Kovacs work on Lie powers,
Journal of the Australian Mathematical Society, Volume 102, Issue 1 (2017) pp. 9-19. Special issue dedicated to the memory of Laci Kovacs.

[17] FP-injectivity of semirings, semigroup rings and Leavitt path algebras, with T. G. Nam,
Communications in Algebra 45 (2017), no. 5, 1893-1906.

[16] Pure Dimension and Projectivity of Tropical Polytopes, with Zur Izhakian and Mark Kambites.
Advances in Mathematics, 303 (2016), 1236-1263.
(Author accepted manuscript available at arXiv:1106.4525.)

[15] Convexity of tropical polytopes, with Mark Kambites,
Linear Algebra and its Applications, 485 (2015), 531-544.
(Preprint version available at arXiv:1411.1630v1.)

[14] Idempotent tropical matrices and finite metric spaces, with Mark Kambites,
Advances in Geometry 14 (2014), no. 2, 253-276.
(Preprint version available at arXiv:1203.2480v1.)

[13] Exact rings and semirings, with David Wilding and Mark Kambites,
Journal of Algebra, 388 (2013), 324-337.
(Preprint version available at arXiv:1212.5358.)

[12] Lie powers of the natural module for GL(2,K), with Karin Erdmann,
The Quarterly Journal of Mathematics, 64 (2013), 113-131.
(Preprint version available at arXiv:1105.4576v1.)

[11] Green's J-order and the rank of tropical matrices, with Mark Kambites,
Journal of Pure and Applied Algebra, 217 (2013), 280-292.
(Preprint version available at arXiv:1102.2707v1.)

[10] An algebraic approach to time borrowing, with David Broomhead and Steve Furber,
IET Computers & Digital Techniques, 7 (2013), issue 1, 1-10.
(Preprint version available at MIMS Eprints: 2012.60.)

[9] A modular version of Klyachko's theorem on Lie representations of the general linear group,
with R. M. Bryant. Mathematical Proceedings Cambridge Philosophical Society, 153 (2012), 79-98.
(Preprint version available by request.)

[8] Multiplicative structure of 2x2 tropical matrices, with Mark Kambites.
Linear Algebra and its Applications, 435 (2011), 1612-1625.
(Preprint version available at arXiv:0907.0314v1.)

[7] Lie powers and pseudo-idempotents, with Ralph Stöhr,
Canadian Mathematical Bulletin, 54 (2011), 297-301.
(Preprint version available by request or via MIMS Eprints:2008.57.)

[6] Periodicity of Adams operations on the Green ring of a finite group, with R. M. Bryant.
Journal of Pure and Applied Algebra, 215 (2011), 989-1002.
(Preprint version available at arXiv:0912.2933v1.)

[5] Free central extensions of groups and modular Lie powers of relation modules, with Ralph Stöhr.
Proceedings of the American Mathematical Society, 138 (2010), 3807-3814.
(Preprint version available by request or via MIMS Eprints:2009.27.)

[4] Adams operations on the Green ring of a cyclic group of prime-power order, with R. M. Bryant.
Journal of Algebra, 323 (2010), no. 10, 2818-2833.
(Preprint version available at arXiv:0912.1524v1.)

[3] Free centre-by-nilpotent-by-abelian groups, with Ralph Stöhr,
Bulletin of the London Mathematical Society, 41 (2009), no. 5, 795-803.
(Preprint version available by request or via MIMS Eprints:2008.51.)

[2] Lie powers and Witt vectors, with R. M. Bryant,
Journal of Algebraic Combinatorics, 28 (2008), no. 1, 169-187.
(Preprint version available at MIMS Eprints:2007.234.)

[1] Standard tableaux and Klyachko's Theorem on Lie representations,
Journal of Combinatorial Theory, Series A, 114 (2007), no. 1, 151-158.
(Preprint version available at MIMS Eprints:2005.52.)