James East

I was a Postdoctoral Research Fellow in the School of Mathematics and Statistics at the University of Sydney during 2008-2010. I am still an honorary associate in the School.

I began a position as lecturer in Pure Mathematics at the University of Western Sydney in 2011. Here is my personal page there -- it will hopefully be updated some time soon.


Current postal address: Dr James East
School of Computing, Engineering and Mathematics
University of Western Sydney
Locked Bag 1797, Penrith NSW 2751
Australia
Office: Building EN, Room 1.33, Parramatta campus
Email: J.East@uws.edu.au
Phone: +61 2 9685 9108
Department Fax: +61 2 9685 9557

Teaching

Here are the last few courses I taught at the University of Sydney:


Research

I am a member of the Algebra Research Group. My main interest is in (algebraic and combinatorial) semigroup theory. The kinds of semigroups and monoids I am particularly interested in are all somehow related to:

My PhD thesis, supervised by David Easdown and entitled ``On Monoids Related to Braid Groups and Transformation Semigroups'', may be found here.


Publications

Preprint versions of all papers will be available for download soon. Some recent papers can be found on my arXiv or ResearchGate pages.

In print

  1. With Thomas Nordahl: On groups generated by involutions of a semigroup. J. Algebra, to appear.
  2. With Igor Dolinka: Idempotent generation in the endomorphism monoid of a uniform partition. Comm. Algebra, to appear.
  3. With Igor Dolinka and James Mitchell: Idempotent rank in the endomorphism monoid of a non-uniform partition. Bull. Aust. Math. Soc., to appear.
  4. With Igor Dolinka, Athanasios Evangelou, Des FitzGerald, Nicholas Ham, James Hyde and Nicholas Loughlin: Enumeration of idempotents in diagram semigroups and algebras. J. Combin. Theory Ser. A., 131 (2015), 119--152.
  5. With James Mitchell and Yann Péresse: Maximal subsemigroups of the semigroup of all mappings on an infinite set. Trans. Amer. Math. Soc., 367 (2015), no. 3, 1911--1944.
  6. Partition monoids and embeddings in regular *-semigroups. Period. Math. Hungar., 69 (2014), no. 2, 211--221.
  7. A symmetrical presentation for the singular part of the symmetric inverse monoid. Algebra Universalis, (2015), Online first, DOI: 10.1007/s00012-015-0347-y.
  8. Singular braids and partial permutations. Acta Sci. Math. (Szeged), 81 (2015), 55--77.
  9. Infinite partition monoids. Internat. J. Algebra Comput. 24 (2014), no. 4, 429--460.
  10. Defining relations for idempotent generators in finite partial transformation semigroups. Semigroup Forum 89 (2014), no. 1, 72--76.
  11. Infinity minus infinity. Faith and Philosophy 30 (2013), no. 4, 429--433.
  12. Defining relations for idempotent generators in finite full transformation semigroups. Semigroup Forum 86 (2013), no. 3, 451–485.
  13. With Des FitzGerald: The semigroup generated by the idempotents of a partition monoid. J. Algebra 372 (2012), 108--133.
  14. Generation of infinite factorizable inverse monoids. Semigroup Forum 84 (2012), no.2, 267--283.
  15. Generators and relations for partition monoids and algebras. J. Algebra 339 (2011), 1--26.
  16. With Peter McNamara: On the work performed by a transformation semigroup. Australas. J. Combin. 49 (2011), 95--109.
  17. On the singular part of the partition monoid. Internat. J. Algebra Comput. 21 (2011), no. 1-2, 147--178.
  18. Braids and order-preserving partial permutations. J. Knot Theory Ramifications 19 (2010), no. 8, 1025--1049.
  19. A presentation of the singular part of the full transformation semigroup. Semigroup Forum. 20 (2010), no. 2, 357--379.
  20. Presentations for singular subsemigroups of the partial transformation semigroup. Internat. J. Algebra Comput. 20 (2010), no. 1, 1--25.
  21. Embeddings in coset monoids. J. Aust. Math. Soc. 85 (2008), no. 1, 75--80.
  22. On a class of factorizable inverse monoids associated with braid groups. Comm. Algebra 36 (2008), no. 8, 3155--3190.
  23. With David Easdown and Des FitzGerald: A presentation of the dual symmetric inverse monoid. Internat. J. Algebra Comput. 18 (2008), no. 2, 357--374.
  24. Vines and partial transformations. Adv. Math. 216 (2007), no. 2, 787--810.
  25. Braids and partial permutations. Adv. Math. 213 (2007), no. 1, 440--461.
  26. The factorizable braid monoid. Proc. Edinb. Math. Soc. (2) 49 (2006), no. 3, 609--636.
  27. Factorizable inverse monoids of cosets of subgroups of a group. Comm. Algebra 34 (2006), no. 7, 2659--2665.
  28. A presentation of the singular part of the symmetric inverse monoid. Comm. Algebra 34 (2006), no. 5, 1671--1689.
  29. Birman's conjecture is true for I2(p). J. Knot Theory Ramifications 15 (2006), no. 2, 167--177.
  30. Cellular algebras and inverse semigroups. J. Algebra 296 (2006), no. 2, 505--519.
  31. With David Easdown and Des FitzGerald: Presentations of factorizable inverse monoids. Acta Sci. Math. (Szeged) 71 (2005), no. 3-4, 509--520.
  32. With David Easdown and Des FitzGerald: Braids and factorizable inverse monoids. Semigroups and languages, 86--105, World Sci. Publ., River Edge, NJ, 2004.

Preprints

  1. With Igor Dolinka, Athanasios Evangelou, Des FitzGerald, Nicholas Ham, James Hyde and Nicholas Loughlin: Idempotent statistics of the Motzkin and Jones monoids. Preprint. 2015.
  2. With Robert Gray: Diagram monoids and Graham-Houghton graphs: idempotents and generating sets of ideals. Preprint. 2015.
  3. With Igor Dolinka: Semigroups of rectangular matrices under a sandwich operation. Preprint. 2015.
  4. With Igor Dolinka: Variants of finite full transformation semigroups. Preprint. 2014.
  5. With Attila Egri-Nagy and James Mitchell: Enumerating transformation semigroups. Preprint. 2014.
  6. Infinite dual symmetric inverse monoids. Preprint. 2013.
  7. With Attila Egri-Nagy, James Mitchell and Yann Péresse: Effective computation of finite semigroups: Part I. In preparation.
  8. With Attila Egri-Nagy, James Mitchell and Andrew Francis: An algorithm for the minimal degree of diagram semigroups. In preparation.
  9. With Attila Egri-Nagy, James Mitchell and Andrew Francis: Finite diagram semigroups: expanding the computational horizon. In preparation.
  10. With Casey Donoven, James Mitchell, Yann Péresse and Wilf Wilson: An algorithm for computing the maximal subsemigroups of a finite semigroup, and some applications. In preparation.
  11. Can God count to infinity? In preparation.
  12. Methuselah's diary: a response to Ben Waters on the finitude of the past. In preparation.
  13. With Igor Dolinka: Twisted Brauer monoids. In preparation.
  14. With Igor Dolinka: Diagram categories and sandwich semigroups. In preparation.
  15. With Igor Dolinka and Robert Gray: Motzkin monoids. In preparation.
  16. With James Mitchell and Yann Péresse: Maximal subsemigroups of the symmetric inverse monoid. In preparation.
  17. With James Mitchell and Yann Péresse: Maximal subsemigroups of the dual symmetric inverse monoid. In preparation.
  18. Dual reflection monoids I--III. Three papers, in preparation.
  19. Cellularity of inverse semigroup algebras. Proceedings of the Special Interest Meeting on Semigroups, University of Sydney, 2006. To appear?
  20. Coset monoids and embeddings. Proceedings of the Special Interest Meeting on Semigroups, University of Sydney, 2006. To appear?

Conference Talks and Seminars (very out-of-date)


Algebra Seminar

I was the organizer of the Sydney University Algebra Seminar in 2009--2010. For information about upcoming talks, or to be added to the mailing list, please visit the website.


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