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

[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 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 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 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 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.
Jounal 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.)

Articles in press

[21] Face monoid actions and tropical hyperplane arrangements, with Mark Kambites.
International Journal of Algebra and Computation, to appear. (Preprint available at arXiv:1604.03016.)

[20] The Shortest Identities for Max-Plus Automata with Two States, with Laure Daviaud.
Proceedings of MFCS 2017 (LIPIcs), to appear.

[19] Tropical matrix groups, with Zur Izhakian and Mark Kambites.
Semigroup Forum, to appear.

Coming soon...

[3] Linear isomorphisms preserving Green's relations for matrices over semirings, with Alexander Guterman and Mark Kambites.
(Preprint available at arXiv:1709.05277.)

[2] Identities in Upper Triangular Tropical Matrix Semigroups and the Bicyclic Monoid, with Laure Daviaud and Mark Kambites.
(Preprint available at arXiv:1612.04219.)

[1] NP-completeness in the gossip monoid, with Peter Fenner and Mark Kambites.
(Preprint available at arXiv:1606.01026.)

Thesis

On group actions on free Lie algebras, PhD thesis, Manchester (2007).
Electronic version available at MIMS Eprints:2008.46.

Other mathematical outpourings

Using tropical mathematics to model ribosome dynamics, with James Hook.
Mathematics Today, Vol. 51, June 2015, 139-141. (David Broomhead memorial issue.)