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:
 diagram algebras and monoids;
 transformation semigroups;
 braid groups and monoids;
 Coxeter groups and Artin monoids/groups.
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

With Jitender Kumar, James D. Mitchell, Wilf A. Wilson: Maximal subsemigroups of finite transformation and diagram monoids. J. Algebra, to appear.

With Igor Dolinka, Ivana Ðurđev, James East, Preeyanuch Honyam, Kritsada Sangkhanan, Jintana Sanwong, Worachead Sommanee: Sandwich semigroups in locally small categories I: Foundations. Algebra Universalis, to appear.

With Igor Dolinka, Ivana Ðurđev, James East, Preeyanuch Honyam, Kritsada Sangkhanan, Jintana Sanwong, Worachead Sommanee: Sandwich semigroups in locally small categories II: Transformations. Algebra Universalis, to appear.

With Attila EgriNagy, James Mitchell and Yann Péresse: Computing finite semigroups. J. Symbolic Comput, to appear.

Presentations for (singular) partition monoids: a new approach. Math. Proc. Cambridge Philos. Soc., to appear.

With Igor Dolinka: Twisted Brauer monoids. Proc. Roy. Soc. Edinburgh Sect. A, to appear.

With Igor Dolinka: Semigroups of rectangular matrices under a sandwich operation. Semigroup Forum, to appear.

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

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

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

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

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

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

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

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

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

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), 119152.

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, 19111944.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Transformation representations of sandwich semigroups. Preprint. 2018.

Idempotents and onesided units in infinite partial Brauer monoids. Preprint. 2017.

With James Mitchell, Nik Ruškuc and Michael Torpey: Congruence lattices of finite diagram monoids. Preprint. 2017.

With Ron Niles: Integer polygons of given perimeter. Preprint. 2017.

With Maximilien Gadouleau and James Mitchell: On transformation semigroups based on digraphs. Preprint. 2017.

With YingYing Feng, Asawer AlAadhami, Igor Dolinka and Victoria Gould: Presentations for singular wreath products. Preprint. 2016.

Presentations for rook partition monoids and algebras and their singular ideals. Preprint. 2016.

With Attila EgriNagy, James Mitchell and Andrew Francis: Constructing Embeddings and Isomorphisms of Finite Abstract Semigroups. Preprint. 2016.

With Igor Dolinka, Athanasios Evangelou, Des FitzGerald, Nicholas Ham, James Hyde and Nicholas Loughlin: Idempotent statistics of the Motzkin and Jones monoids. Preprint. 2015.

With Attila EgriNagy, James Mitchell and Andrew Francis: Finite diagram semigroups: expanding the computational horizon. Preprint. 2015.

With Nik Ruškuc: Congruences on infinite partition and partial Brauer monoids In preparation.

Can God count to infinity? In preparation.

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

With Igor Dolinka: Diagram categories and sandwich semigroups. In preparation.

With James Mitchell and Yann Péresse: Maximal subsemigroups of the symmetric inverse monoid. In preparation.

With James Mitchell and Yann Péresse: Maximal subsemigroups of the dual symmetric inverse monoid. In preparation.

Dual reflection monoids IIII. Three papers, in preparation.

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

Coset monoids and embeddings. 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.