Associate Professor James East

Journal Articles

• East, J., Hendriksen, M. and Park, L. (2023), 'On the enumeration of integer tetrahedra', Computational Geometry: Theory and Applications, vol 108 .
• Clark, C. and East, J. (2023), 'Presentations for wreath products involving symmetric inverse monoids and categories', Journal of Algebra, vol 620 , pp 630 - 668.
• East, J. and Ruskuc, N. (2023), 'Congruence lattices of ideals in categories and (partial) semigroups', Memoirs of the American Mathematical Society, vol 284 , pp 1 - 144.
• Cameron, P., East, J., Fitzgerald, D., Mitchell, J., Pebody, L. and Quinn-Gregson, T. (2023), 'Minimum degrees of finite rectangular bands, null semigroups, and variants of full transformation semigroups', Combinatorial Theory, vol 3, no 3 .
• East, J. (2022), 'Presentations for Pk', Monatshefte fur Mathematik, vol 197, no 2 , pp 293 - 298.
• East, J. and Gray, R. (2021), 'Ehresmann theory and partition monoids', Journal of Algebra, vol 579 , pp 318 - 352.
• East, J. (2021), 'Structure of principal one-sided ideals', International Journal of Algebra and Computation, vol 31, no 6 , pp 1093 - 1145.
• East, J. and Ham, N. (2021), 'Lattice paths and submonoids of Z2', Annals of Combinatorics, vol 25, no 4 , pp 797 - 847.
• Dolinka, I., Durdev, I. and East, J. (2021), 'Sandwich semigroups in diagram categories', International Journal of Algebra and Computation, vol 31, no 7 , pp 1339 - 1404.
• East, J. and Mitchell, J. (2021), 'Generating wreath products of symmetric and alternating groups', New Zealand Journal of Mathematics, vol 51 , pp 85 - 93.
• East, J. (2021), 'Presentations for Temperley-Lieb algebras', Quarterly Journal of Mathematics, vol 72, no 4 , pp 1253 - 1269.
• East, J. (2020), 'Transformation representations of sandwich semigroups', Experimental Mathematics, vol 29, no 3 , pp 291 - 295.
• East, J. and Higgins, P. (2020), 'Green's relations and stability for subsemigroups', Semigroup Forum, vol 101, no 1 , pp 77 - 86.
• East, J. (2020), 'Idempotents and one-sided units : lattice invariants and a semigroup of functors on the category of monoids', Journal of Algebra, vol 560 , pp 1219 - 1252.
• East, J. (2019), 'Presentations for rook partition monoids and algebras and their singular ideals', Journal of Pure and Applied Algebra, vol 223, no 3 , pp 1097 - 1122.
• Dolinka, I., East, J., Evangelou, A., FitzGerald, D., Ham, N., Hyde, J., Loughlin, N. and Mitchell, J. (2019), 'Enumeration of idempotents in planar diagram monoids', Journal of Algebra, vol 522 , pp 351 - 385.
• East, J. and Niles, R. (2019), 'Integer polygons of given perimeter', Bulletin of the Australian Mathematical Society, vol 100, no 1 , pp 131 - 147.
• Feng, Y., Al-Aadhami, A., Dolinka, I., East, J. and Gould, V. (2019), 'Presentations for singular wreath products', Journal of Pure and Applied Algebra, vol 223, no 12 , pp 5106 - 5146.
• East, J. (2019), 'Idempotents and one-sided units in infinite partial Brauer monoids', Journal of Algebra, vol 534 , pp 427 - 482.
• East, J. and Niles, R. (2019), 'Integer triangles of given perimeter : a new approach via group theory', American Mathematical Monthly, vol 126, no 8 , pp 735 - 739.
• East, J., Gadouleau, M. and Mitchell, J. (2019), 'Structural aspects of semigroups based on digraphs', Algebraic Combinatorics, vol 2, no 5 , pp 711 - 733.
• East, J., Egri-Nagy, A., Mitchell, J. and Peresse, Y. (2019), 'Computing finite semigroups', Journal of Symbolic Computation, vol 92 , pp 110 - 155.
• Dolinka, I. and East, J. (2018), 'Semigroups of rectangular matrices under a sandwich operation', Semigroup Forum, vol 96, no 2 , pp 253 - 300.
• East, J. (2018), 'Presentations for (singular) partition monoids : a new approach', Mathematical Proceedings of the Cambridge Philosophical Society, vol 165, no 3 , pp 549 - 562.
• East, J., Kumar, J., Mitchell, J. and Wilson, W. (2018), 'Maximal subsemigroups of finite transformation and diagram monoids', Journal of Algebra, vol 504 , pp 176 - 216.
• East, J. and Vernitski, A. (2018), 'Ranks of ideals in inverse semigroups of difunctional binary relations', Semigroup Forum, vol 96, no 1 , pp 21 - 30.
• Dolinka, I. and East, J. (2018), 'Twisted Brauer monoids', Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, vol 148, no 4 , pp 731 - 750.
• East, J., Mitchell, J., Ruskuc, N. and Torpey, M. (2018), 'Congruence lattices of finite diagram monoids', Advances in Mathematics, vol 333 , pp 931 - 1003.
• Dolinka, I., Durdev, I., East, J., Honyam, P., Sangkhanan, K., Sanwong, J. and Sommanee, W. (2018), 'Sandwich semigroups in locally small categories II : transformations', Algebra Universalis, vol 79, no 3 .
• Dolinka, I., Durdev, I., East, J., Honyam, P., Sangkhanan, K., Sanwong, J. and Sommanee, W. (2018), 'Sandwich semigroups in locally small categories I : foundations', Algebra Universalis, vol 79, no 3 .
• Dolinka, I., East, J. and Gray, R. (2017), 'Motzkin monoids and partial Brauer monoids', Journal of Algebra, vol 471 , pp 251 - 298.
• East, J. and Gray, R. (2017), 'Diagram monoids and Graham-Houghton graphs : idempotents and generating sets of ideals', Journal of Combinatorial Theory, Series A, vol 146 , pp 63 - 128.
• Dolinka, I. and East, J. (2017), 'The idempotent-generated subsemigroup of the Kauffman monoid', Glasgow Mathematical Journal, vol 59, no 3 , pp 673 - 683.
• East, J., Egri-Nagy, A. and Mitchell, J. (2017), 'Enumerating transformation semigroups', Semigroup Forum, vol 95, no 1 , pp 109 - 125.
• East, J. (2017), 'Infinite dual symmetric inverse monoids', Periodica Mathematica Hungarica, vol 75, no 2 , pp 273 - 285.
• East, J. and Nordahl, T. (2016), 'On groups generated by involutions of a semigroup', Journal of Algebra, vol 445 , pp 136 - 162.
• Dolinka, I., East, J. and Mitchell, J. (2016), 'Idempotent rank in the endomorphism monoid of a nonuniform partition', Bulletin of the Australian Mathematical Society, vol 93, no 1 , pp 73 - 91.
• Dolinka, I. and East, J. (2016), 'Idempotent generation in the endomorphism monoid of a uniform partition', Communications in Algebra, vol 44, no 12 , pp 5179 - 5198.
• East, J., Mitchell, J. and Peresse, Y. (2015), 'Maximal subsemigroups of the semigroup of all mappings on an infinite set', Transactions of the American Mathematical Society, vol 367, no 3 , pp 1911 - 1944.
• Dolinka, I., East, J., Evangelou, A., FitzGerald, D., Ham, N., Hyde, J. and Loughlin, N. (2015), 'Enumeration of idempotents in diagram semigroups and algebras', Journal of Combinatorial Theory, Series A, vol 131, no 4 , pp 119 - 152.
• East, J. (2015), 'A symmetrical presentation for the singular part of the symmetric inverse monoid', Algebra Universalis, vol 74, no 3 , pp 207 - 228.
• Dolinka, I. and East, J. (2015), 'Variants of finite full transformation semigroups', International Journal of Algebra and Computation, vol 25, no 8 , pp 1187 - 1222.
• East, J. (2015), 'Singular braids and partial permutations', Acta Scientiarum Mathematicarum, vol 81, no 1-2 , pp 55 - 77.
• East, J. (2014), 'Infinite partition monoids', International Journal of Algebra and Computation, vol 24, no 4 , pp 429 - 460.
• East, J. (2014), 'Defining relations for idempotent generators in finite partial transformation semigroups', Semigroup Forum, vol 89, no 1 , pp 72 - 76.
• East, J. (2014), 'Partition monoids and embeddings in 2-generator regular *-semigroups', Periodica Mathematica Hungarica, vol 69, no 2 , pp 211 - 221.
• East, J. (2013), 'Defining relations for idempotent generators in finite full transformation semigroups', Semigroup Forum, .
• East, J. (2013), 'Infinity minus infinity', Faith and Philosophy, vol 30, no 4 , pp 429 - 433.
• East, J. and FitzGerald, D. (2012), 'The semigroup generated by the idempotents of a partition monoid', Journal of Algebra, vol 372 , pp 108 - 133.
• East, J. (2012), 'Generation of infinite factorizable inverse monoids', Semigroup Forum, vol 84, no 2 , pp 267 - 283.
• East, J. and Mcnamara, P. (2011), 'On the Work Performed by a Transformation Semigroup', Australasian Journal of Combinatorics, vol 49 , pp 95 - 109.
• East, J. (2011), 'On the singular part of the partition monoid', International Journal of Algebra and Computation, vol 21, no 40940 , pp 147 - 178.
• East, J. (2011), 'Generators and relations for partition monoids and algebras', Journal of Algebra, vol 339, no 1 , pp 1 - 26.
• East, J. (2010), 'Presentations for singular subsemigroups of the partial transformation semigroup', International Journal of Algebra and Computation, vol 20, no 1 , pp 1 - 25.
• East, J. (2010), 'Braids and order-preserving partial permutations', Journal of Knot Theory and its Ramifications, vol 19, no 8 , pp 1025 - 1049.
• East, J. (2010), 'A presentation for the singular part of the full transformation semigroup', Semigroup Forum, vol 81, no 2 , pp 357 - 379.
• East, J. (2008), 'On a class of factorizable inverse monoids associated with braid groups', Communications in Algebra, vol 36, no 8 , pp 3155 - 3190.
• East, J. (2008), 'Embeddings in coset monoids', Journal of the Australian Mathematical Society, vol 85, no 1 , pp 75 - 80.
• East, J., Easdown, D. and Fitzgerald, D. (2008), 'A presentation of the dual symmetric inverse monoid', International Journal of Algebra and Computation, vol 18, no 2 , pp 357 - 374.
• East, J. (2007), 'Braids and Partial Permutations', Advances in Mathematics, vol 213, no 1 , pp 440 - 461.
• East, J. (2007), 'Vines and Partial Transformations', Advances in Mathematics, vol 216, no 2 , pp 787 - 810.
• East, J. (2006), 'Birman's Conjecture is True for I2(p)', Journal of Knot Theory and its Ramifcations, vol 15, no 2 , pp 167 - 177.
• East, J. (2006), 'Cellular Algebras and Inverse Semigroups', Journal of Algebra, vol 296, no 2 , pp 505 - 519.
• East, J. (2006), 'The Factorizable Braid Monoid', Proceedings of the Edinburgh Mathematical Society, vol 49, no 3 , pp 609 - 636.
• East, J. (2006), 'Factorizable Inverse Monoids of Cosets of Subgroups of a Group', Communications in Algebra, vol 34, no 7 , pp 2659 - 2665.
• East, J. (2006), 'A Presentation of the Singular Part of the Symmetric Inverse Monoid', Communications in Algebra, vol 34, no 5 , pp 1671 - 1689.
• East, J., Easdown, D. and Fitzgerald, D. (2005), 'Presentations of Factorizable Inverse Monoids', Acta Scientiarum Mathematicarum, vol 71, no 3-4 , pp 509 - 520.