James East
I was a Postdoctoral Research Fellow in the School of Mathematics and Statistics at the University of Sydney during 20082010. I am still an honorary associate in the School.
I began a position as lecturer in Pure Mathematics at Western Sydney University 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
Western Sydney University
Locked Bag 1797, Penrith NSW 2751
Australia 
Office: 
Building EN, Room 1.33, Parramatta campus 
Email: 
J.East@WesternSydney.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:
 Second Semester 2010  PHAR1822  Physical Pharmaceutics and Formulation (Mathematics Component)  old webpage
 First Semester 2010  PHAR2813  Therapeutic Principles (Mathematics Component)  old webpage
 Summer School 2010  MATH2061  Vector Calculus
 First semester 2009  MATH1902  Linear Algebra (Advanced)
 Summer School 2009  MATH2061/2067  Vector Calculus
 Second Semester 2008  MATH2968  Algebra (Advanced)
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:
 semigroup theory and interactions (combinatorics, categories, lattices, representations,...);
 diagram algebras, monoids and categories;
 transformation semigroups;
 braid groups and monoids.
My PhD thesis, supervised by David Easdown and entitled ``On Monoids Related to Braid Groups and Transformation Semigroups'', may be found here.
Publications
My arXiv and ResearchGate pages have most papers (arXiv goes back to about 2011).
In print

Structural aspects of semigroups based on digraphs.
 James East, Maximilien Gadouleau, James Mitchell.
 Algebr. Comb., to appear.

Transformation representations of sandwich semigroups.
 James East.
 Exp. Math., to appear.

Green's relations and stability for subsemigroups.
 James East, Peter Higgins.
 Semigroup Forum, to appear.

Integer triangles of given perimeter: A new approach via group theory.
 James East, Ron Niles.
 Amer. Math. Monthly, to appear.

Idempotents and onesided units in infinite partial Brauer monoids.
 James East.
 J. Algebra, 534 (2019), 427482.

Enumeration of idempotents in planar diagram monoids.
 Igor Dolinka, James East, Athanasios Evangelou, Des FitzGerald, Nicholas Ham, James Hyde, Nicholas Loughlin, James Mitchell.
 J. Algebra, 522 (2019), 351385.

Integer polygons of given perimeter.
 James East, Ron Niles.
 Bull. Aust. Math. Soc., 100 (2019), no. 1, 131147.

Presentations for singular wreath products.
 YingYing Feng, Asawer AlAadhami, Igor Dolinka, James East, Victoria Gould.
 J. Pure Appl. Algebra 223 (2019), no. 12, 51065146.

Presentations for rook partition monoids and algebras and their singular ideals.
 James East.
 J. Pure Appl. Algebra 223 (2019), no. 3, 10971122.

Computing finite semigroups.
 James East, Attila EgriNagy, James Mitchell, Yann Péresse.
 J. Symbolic Comput, 92 (2019), 110155.

Congruence lattices of finite diagram monoids.
 James East, James Mitchell, Nik Ruškuc, Michael Torpey.
 Adv. Math. 333 (2018), 9311003.

Sandwich semigroups in locally small categories I: Foundations.
 Igor Dolinka, Ivana Ðurđev, James East, Preeyanuch Honyam, Kritsada Sangkhanan, Jintana Sanwong, Worachead Sommanee.
 Algebra Universalis, 79 (2018), no. 3, Art. 75, 35pp.

Sandwich semigroups in locally small categories II: Transformations.
 Igor Dolinka, Ivana Ðurđev, James East, Preeyanuch Honyam, Kritsada Sangkhanan, Jintana Sanwong, Worachead Sommanee.
 Algebra Universalis, 79 (2018), no. 3, Art. 76, 53pp.

Presentations for (singular) partition monoids: a new approach.
 James East.
 Math. Proc. Cambridge Philos. Soc., 165 (2018), no. 3, 549562.

Twisted Brauer monoids.
 Igor Dolinka, James East.
 Proc. Roy. Soc. Edinburgh Sect. A, 148 (2018), no. 4, 731750.

Semigroups of rectangular matrices under a sandwich operation.
 Igor Dolinka, James East.
 Semigroup Forum, 96 (2018), no. 2, 253300.

Maximal subsemigroups of finite transformation and diagram monoids.
 James East, Jitender Kumar, James D. Mitchell, Wilf A. Wilson.
 J. Algebra, 504 (2018), 176216.

Ranks of ideals in inverse semigroups of difunctional binary relations.
 James East, Alexei Vernitski.
 Semigroup Forum, 96 (2018), 2130.

The idempotentgenerated subsemigroup of the Kauffman monoid.
 Igor Dolinka, James East.
 Glasg. Math. J., 59 (2017), no. 3, 673683.

Enumerating transformation semigroups.
 James East, Attila EgriNagy, James Mitchell
 Semigroup Forum, 95 (2017), 109125.

Infinite dual symmetric inverse monoids.
 James East.
 Period. Math. Hungar., 75 (2017), 273285.

Diagram monoids and GrahamHoughton graphs: idempotents and generating sets of ideals.
 James East, Robert Gray.
 J. Combin. Theory Ser. A, 146 (2017), 63128.

Motzkin monoids and partial Brauer monoids.
 Igor Dolinka, James East, Robert Gray.
 J. Algebra, 471 (2017), 251–298.

On groups generated by involutions of a semigroup.
 James East, Thomas Nordahl.
 J. Algebra, 445 (2016), 136162.

Idempotent generation in the endomorphism monoid of a uniform partition.
 Igor Dolinka, James East.
 Comm. Algebra, 44 (2016), no. 12, 51795198.

Idempotent rank in the endomorphism monoid of a nonuniform partition.
 Igor Dolinka, James East, James Mitchell.
 Bull. Aust. Math. Soc., 93 (2016), no. 1, 7391.

Enumeration of idempotents in diagram semigroups and algebras.
 Igor Dolinka, James East, Athanasios Evangelou, Des FitzGerald, Nicholas Ham, James Hyde, Nicholas Loughlin.
 J. Combin. Theory Ser. A., 131 (2015), 119152.

Maximal subsemigroups of the semigroup of all mappings on an infinite set.
 James East, James Mitchell, Yann Péresse.
 Trans. Amer. Math. Soc., 367 (2015), no. 3, 19111944.

Variants of finite full transformation semigroups.
 Igor Dolinka, James East.
 Internat. J. Algebra Comput., 25 (2015), no. 8, 11871222.

A symmetrical presentation for the singular part of the symmetric inverse monoid.
 James East.
 Algebra Universalis, 74 (2015), no. 34, 207–228.

Singular braids and partial permutations.
 James East.
 Acta Sci. Math. (Szeged), 81 (2015), 5577.

Partition monoids and embeddings in regular *semigroups.
 James East.
 Period. Math. Hungar., 69 (2014), no. 2, 211221.

Infinite partition monoids.
 James East.
 Internat. J. Algebra Comput. 24 (2014), no. 4, 429460.

Defining relations for idempotent generators in finite partial transformation semigroups.
 James East.
 Semigroup Forum 89 (2014), no. 1, 7276.

Infinity minus infinity.
 James East.
 Faith and Philosophy 30 (2013), no. 4, 429433.

Defining relations for idempotent generators in finite full transformation semigroups.
 James East.
 Semigroup Forum 86 (2013), no. 3, 451–485.

The semigroup generated by the idempotents of a partition monoid.
 James East, Des FitzGerald.
 J. Algebra 372 (2012), 108133.

Generation of infinite factorizable inverse monoids.
 James East.
 Semigroup Forum 84 (2012), no.2, 267283.

Generators and relations for partition monoids and algebras.
 James East.
 J. Algebra 339 (2011), 126.

On the work performed by a transformation semigroup.
 James East, Peter McNamara.
 Australas. J. Combin. 49 (2011), 95109.

On the singular part of the partition monoid.
 James East.
 Internat. J. Algebra Comput. 21 (2011), no. 12, 147178.

Braids and orderpreserving partial permutations.
 James East.
 J. Knot Theory Ramifications 19 (2010), no. 8, 10251049.

A presentation of the singular part of the full transformation semigroup.
 James East.
 Semigroup Forum. 20 (2010), no. 2, 357379.

Presentations for singular subsemigroups of the partial transformation semigroup.
 James East.
 Internat. J. Algebra Comput. 20 (2010), no. 1, 125.

Embeddings in coset monoids.
 James East.
 J. Aust. Math. Soc. 85 (2008), no. 1, 7580.

On a class of factorizable inverse monoids associated with braid groups.
 James East.
 Comm. Algebra 36 (2008), no. 8, 31553190.

A presentation of the dual symmetric inverse monoid.
 David Easdown, James East, Des FitzGerald.
 Internat. J. Algebra Comput. 18 (2008), no. 2, 357374.

Vines and partial transformations.
 James East.
 Adv. Math. 216 (2007), no. 2, 787810.

Braids and partial permutations.
 James East.
 Adv. Math. 213 (2007), no. 1, 440461.

The factorizable braid monoid.
 James East.
 Proc. Edinb. Math. Soc. (2) 49 (2006), no. 3, 609636.

Factorizable inverse monoids of cosets of subgroups of a group.
 James East.
 Comm. Algebra 34 (2006), no. 7, 26592665.

A presentation of the singular part of the symmetric inverse monoid.
 James East.
 Comm. Algebra 34 (2006), no. 5, 16711689.

Birman's conjecture is true for I_{2}(p).
 James East.
 J. Knot Theory Ramifications 15 (2006), no. 2, 167177.

Cellular algebras and inverse semigroups.
 James East.
 J. Algebra 296 (2006), no. 2, 505519.

Presentations of factorizable inverse monoids.
 David Easdown, James East, Des FitzGerald.
 Acta Sci. Math. (Szeged) 71 (2005), no. 34, 509520.

Braids and factorizable inverse monoids.
 David Easdown, James East, Des FitzGerald.
 Semigroups and languages, 86105, World Sci. Publ., River Edge, NJ, 2004.
Preprints

Idempotents and onesided units II. Lattice invariants and a semigroup of functors on the category of monoids.

Lattice paths and submonoids of Z^{2}.

Congruences on infinite partition and partial Brauer monoids.

Constructing Embeddings and Isomorphisms of Finite Abstract Semigroups.
 James East, Attila EgriNagy, James Mitchell, Andrew Francis.
 Preprint (2016), arXiv:1603.06204

Finite diagram semigroups: expanding the computational horizon.
 James East, Attila EgriNagy, James Mitchell, Andrew Francis.
 Preprint (2015), arXiv:1502.07150

Congruence lattices of ideals in categories and (partial) semigroups.
 James East, Nik Ruškuc.
 In preparation.

Generating wreath products of symmetric and alternating groups.
 James East, James Mitchell.
 In preparation.

Sandwich semigroups in diagram categories.
 Ivana Ðurđev, Igor Dolinka, James East.
 In preparation.

Structure of principal onesided ideals.
 James East.
 In preparation.

Presentations for diagram categories.
 James East.
 In preparation.

Presentations for TemperleyLieb algebras.
 James East.
 In preparation.

Reflection monoids, partial dual symmetric inverse monoids, and rook partition algebras.
 James East, Brent Everitt, John Fountain.
 In preparation.

Can God count to infinity?
 James East.
 In preparation.

Methuselah's diary: a response to Ben Waters on the finitude of the past.
 James East.
 In preparation.

Maximal subsemigroups of the symmetric inverse monoid.
 James East, James Mitchell, Yann Péresse.
 In preparation.

Maximal subsemigroups of the dual symmetric inverse monoid.
 James East, James Mitchell, Yann Péresse.
 In preparation.

Dual reflection monoids.
 James East.
 In preparation.

Cellularity of inverse semigroup algebras.
 James East.
 Proceedings of the Special Interest Meeting on Semigroups, University of Sydney, 2006. To appear?

Coset monoids and embeddings.
 James East.
 Proceedings of the Special Interest Meeting on Semigroups, University of Sydney, 2006. To appear?
Conference Talks and Seminars (very outofdate)
 Linear sandwich semigroups  Permutation groups and transformation semigroups, Durham (2015)
 Variants of semigroups  the case study of finite full transformation monoids  NBSAN, York (2015)
 Idempotent generators in partition monoids  Diagram algebras workshop, Stuttgart (2014)
 Defining relations for semigroups of singular mappings and
partitions  Semigroups and applications, Uppsala (2012)
 Idempotent generators in partition monoids  St Andrews, Porto, Lisbon, USyd (2011)
 Infinite partition monoids  USyd, UTas (2010) and Amiens (2011)
 Applications of orderpreserving partial permutations  York (2010)
 Braids and Transformation Semigroups  HeriotWatt, St Andrews, Manchester, York (2010)
 Dual reflection monoids  BMC Edinburgh (2010)
 Generators and relations for semigroups of singular transformations  ICGS Nebraska (2009)
Algebra Seminar
I was the organizer of the Sydney University Algebra Seminar in 20092010. For information about upcoming talks, or to be added to the mailing list, please visit the website.