Algebra research group

Algebraic research at York covers a wide spectrum of interests, from pure group theory, representation theory and semigroup theory to applications of algebraic techniques in geometry, quantum physics and biology. The department is a fertile breeding ground for research, with regular organized seminars and study groups complemented by plenty of opportunities for informal discussion. We are also always on the lookout for strong PhD students in all areas of algebra; please see the Pure PhD projects page for some project ideas, and please also feel free to get in touch with any member of staff if you want to find out more. For details of individual members' interests, please click here.

Seminars and Study Groups

We run a weekly Algebra Study Group during term time. Please contact Michael Bate for details of the current topic, or to be included on the email list for this group.

External speakers in the area of Algebra are usually invited to give a talk in the Algebra Seminar, which is also a forum for internal research seminars. The next talk is shown below.


Algebra Seminar
Date and time: 
January 12, 2015, 16:15
Liron Speyer (Queen Mary University)

Submitted on 24 Nov 2014 - 13:23 by gh616

The York Semigroup meets every week in term time and is a mixture of informal sessions, led by York Semigroup PhD students, and more formal presentations.


Other Algebraic Events

Algebra and Representation Theory in the North (ARTIN):  York is part of the ARTIN network, which holds regular meetings around the north of the UK. For details of the next event and a list of past meetings click here.

North British Geometric Group Theory (NBGGT):  The NBGGT meetings are collaborative seminars held regularly across the north of Britain. For more details click here.

North British Semigroups and Applications Network (NBSAN):  The NBSAN meets regularly, with events all over the north of Britain. For more details, please visit the NBSAN page.

Leeds York Lie Theory (LYLT):  This is an occasional series of meetings organised by York and Leeds. Please click here for more details.

Members and research interests

Below is an alphabetical list of members of the Algebra Group, with brief descriptions of their research interests. Clicking on the name of a particular member of staff will direct you to their homepage.

Staff in Algebra

Dr Michael Bate
MMath (Oxon), PhD (Birmingham)
Algebraic Groups, Representation Theory, GIT, Buildings
+44 1904 32 3026
Dr Gustav W Delius
PhD (Stony Brook)
Stochastic Modelling in Mathematical Biology and Theoretical Ecology, Spatial Stochastic Processes, Quantum Field Theory, Integrable Systems, Quantum Groups
+44 1904 32 3077
Professor Stephen Donkin
MA (Oxon), MSc,PhD (Warwick)
algebra, representation theory, algebraic groups
+44 1904 32 4102
Dr Brent Everitt
MSc (Toronto) PhD, BSc (Auckland)
Algebra, topology, combinatorics
+44 1904 32 3083
Dr Haralampos Geranios
PhD (Athens, Greece)
Representation Theory of Algebraic Groups and Invariant Theory
+44 1904 32 3079
Professor Victoria Gould
BA, DPhil (York)
Semigroup theory
+44 1904 32 3090
Dr Miklos Hartmann
MSc, PhD (Szeged, Hungary)
Structure theory for semigroups, monoid actions.
+44 1904 32 3096
Dr Eli Hawkins
PhD (Penn State, Physics), PhD (Penn State, Mathematics)
+44 1904 32 3069
Prof. Niall MacKay
BA (Cambridge), PhD (Durham)
Integrable quantum field theory, quantum groups
+44 1904 32 3493
Professor Maxim Nazarov
MSc, PhD (Moscow)
Representation Theory
+44 1904 32 3078
Dr. Antonio Sartori
PhD (University of Bonn)
Representations of Lie algebras and Lie superalgebras, BGG category O, Khovanov homology and categorification.
+44 1904 32 3078

Ph.D. students in Algebra

Name Degree information Phone E-mail
Asawer Duraid Hamdi Al-Aadhami BSc (Baghdad), MSc (Baghdad) +44 1904 32 4159
Oliver Goodbourn BSc (Edinburgh), MSc (Imperial) +44 1904 32 3844
Samuel Martin MSci (King's College London) +44 1904 32 XXXX
Thomas Quinn-Gregson MMath (Manchester) +44 1904 32 3845
Rida-e Zenab BA (Punjab), MSc (Gujrat), MPhil (Quaid-I-Azam) +44 1904 32 4159

Publications in Algebra




Everitt B, Maclachlan C.  2000.  Constructing Hyperbolic Manifolds. Computational & Geometric Aspects of Modern Algebra, Proceedings ICMS Workshop, Edinburgh 1998. 275:78-86. Abstract
Gomes GMS, Gould V.  2000.  Graph expansions of unipotent monoids. Communications in Algebra. 28:447-463.
Gould V, Smith P.  2000.  Orders and straight left orders in completely regular semigroups. Monatshefte fur Math. 131:193-214. Download: (496.47 KB)
Fountain J, Gomes GMS.  2000.  Primitive inverse congruences on categorical semigroups. Proc. Edinburgh Mathematical Society. 43:395-413.


Gould V.  1999.  Independence structures. Semigroups with applications including Semigroup Rings.
Fountain J, Gould V, Smith P.  1999.  Maximal orders in semigroups. Communications in Algebra. 27:173-187.



Fountain J.  1996.  Maximal orders in semigroups. Semigroups, Automata & Languages. :111-124.


Fountain J, Gould V.  1994.  Idempotent bounded C-semigroups. Monatshefte fur Mathematik. 117:237-254.
Fountain J, Gomes GMS.  1994.  Proper left type-A covers. Portugaliae Mathematica. 51:305-319.

Algebra Seminar

The seminar takes place on Mondays from 16:15 in Room G/109 in the James College Nucleus. The typical length of the talks is about 1 hour. The seminar organiser is currently Haralampos Geranios.

Next Seminar


Algebra Seminar
Date and time: 
January 12, 2015, 16:15
Liron Speyer (Queen Mary University)

Submitted on 24 Nov 2014 - 13:23 by gh616

Programme for this term

Date and timesort icon Title Speaker Room
September 23, 2014, 16:15 On Kac-Wakimoto character formula Maria Gorelik (Weizmann Institute) G/109
October 6, 2014, 16:15 Finite W-algebras and modular representation theory Lewis Topley (York) G/109
October 13, 2014, 16:15 Representation theory of diagram algebras Oliver King (Leeds) G/109
October 20, 2014, 16:15 Reductive pairs arising from representations Oliver Goodbourn (York) G/109
October 27, 2014, 16:15 Morita equivalence classes of blocks Charles Eaton (Manchester) G/109
November 3, 2014, 16:15 Clusters and triangulations Ilke Canakci (Leicester) G/109
November 10, 2014, 16:15 CANCELLED: Removal Lemmas for Multinomials David Ferguson (York) G/109
November 17, 2014, 16:15 Platonic solids generate their four-dimensional analogues -- a 3D spinorial view of 4D exceptional phenomena Pierre-Philippe Dechant (York) G/109
November 24, 2014, 16:15 Platonic polygonal complexes Ian Leary (Southampton) G/109
December 1, 2014, 16:15 On Exotic Springer Fibres Neil Saunders (Bristol) G/109

See also the full list of Algebra Seminars.

iCal feed for this seminar

York Semigroup

The York Semigroup meets every week in term time on Wednesdays at 11.15. It consists of a mixture of informal sessions, led by York Semigroup PhD students and staff, and more formal presentations, including external speakers. The formal sessions are usually advertised well in advance - if you wish to be included on the mailing list please e-mail Vicky Gould.

Programme for this term

Date and timesort icon Title Speaker Room
September 5, 2014, 11:30 - 12:30 Examining Commutativity in the Symmetric Inverse Semigroup Wolfram Bentz (Centro dé Algebra da Universidade de Lisboa, Portugal) G/002
October 8, 2014, 11:30 - 12:30 Clones determined by clausal relations Dr Edith Vargas-Garcia G/001
October 22, 2014, 11:30 - 12:30 Congruences and quotients of inverse semigroups Dr. Nick Gilbert (Heriot-Watt) G/001
October 29, 2014, 11:30 - 12:30 Knot semigroups: a new algebraic approach to knots and braids Dr Alexei Vernitski G/001

See also the full list of York Semigroup talks.

iCal feed for this seminar

Other Semigroup Events:

North British Semigroups and Applications Network (NBSAN)