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.

Absurd Abelian Groups

Algebra Seminar
Date and time: 
January 16, 2017, 16:15
Jeremy Rickard (Bristol)

Edited 15 Nov 2016 - 14:13 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

Representation Theory of Algebraic Groups: Conference in Honour of Stephen Donkin

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 3669
Dr Brent Everitt
MSc (Toronto) PhD, BSc (Auckland)
Algebra, topology, combinatorics
+44 1904 32 3083
Dr Haralampos Geranios
MSc, PhD (Athens, Greece)
Representation Theory and Cohomology of Algebraic Groups and Invariant Theory
+44 1904 32 3096
Professor Victoria Gould
BA, DPhil (York)
Semigroup theory
+44 1904 32 3090
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
Regelskis, Vidas
Dr Vidas Regelskis
PhD (York), MSc (Vilnius, Lithuania)
Yangians and Kac-Moody Lie algebras, Representation theory, Integrable systems
+44 1904 32 3079
Dr Bart Vlaar
PhD (Glasgow), MSc (Utrecht, Netherlands)
Integrable systems, Lie algebras, Quantum groups, Hecke algebras, Representation theory
+44 1904 32 2058

Ph.D. students in Algebra

Name Degree information Phone E-mail
Asawer Duraid Hamdi Al-Aadhami BSc (Baghdad), MSc (Baghdad) +44 1904 32 4159
Majed Albaity BSc & MSc (King Abdulaziz University); MSc (Western Ontario) +44 1904 32 4586
Sanaa Bajri BSc (King Abdulaziz University), MSc (Canterbury, NZ) +44 1904 32 3085
Matthew Brookes MMath (Cantab) +44 1904 32 XXXX
Luuk Disselhorst B Maths & M Maths (Groningen) +44 1904 32 XXXX
Samuel Ford MMath (Warwick) +44 1904 32 XXXX
Benen Harrington BA (Trinity College Dublin), MASt (Cantab) +44 1904 32 XXXX
Samuel Martin MSci (King's College London) +44 1904 32 n/a
Thomas Quinn-Gregson MMath (Manchester) +44 1904 32 3845

Publications in Algebra


Fountain J, Kambites M.  2004.  Hyperbolic groups and completely simple semigroups. Proceedings of the Workshop Semigroups and Languages (Lisbon, Nov. 2002). :106-132. Abstract
Gould V.  2004.  Semigroups of left quotients - the layered approach. Communications in Algebra. 32:167-185. Download: (242.78 KB)
Araujo J, Fountain J.  2004.  The origins of independence algebras. Proceedings of the Workshop Semigroups and Languages (Lisbon, Nov. 2002). :54--67.


Gould V.  2003.  Abundant and ample straight left orders. Periodica Mathematica Hungarica. 46:171-179.
Fountain J, Gould V.  2003.  Relatively free algebras with weak exchange properties. Journal of the Australian Math Society. 75:355--384.


Fountain J.  2002.  An introduction to covers for semigroups. Semigroups, Algorithms, Automata and Languages. :155--194.



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.


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

Absurd Abelian Groups

Algebra Seminar
Date and time: 
January 16, 2017, 16:15
Jeremy Rickard (Bristol)

Edited 15 Nov 2016 - 14:13 by gh616

Programme for this term

Date and timesort icon Title Speaker Room
September 26, 2016, 16:15 The centre of quantum symmetric pair coideal subalgebras --revisited Stefan Kolb (Newcastle) G/002
October 3, 2016, 16:15 Crystals, the cactus group, and shift of argument algebras Iva Halacheva (Lancaster) G/002
October 10, 2016, 16:15 CANCELLED: On Hochschild homology of affine Hecke algebras Peter Samuelson (Edinburgh) Topos
October 17, 2016, 16:15 Nilpotent commuting varieties and support varieties Paul Levy (Lancaster) Topos
October 24, 2016, 16:15 Fusion systems and classifying spaces Justin Lynd (Aberdeen) Topos
October 31, 2016, 16:15 Tame blocks Florian Eisele (City) Topos
November 7, 2016, 16:15 Classifying solutions of the reflection equation Bart Vlaar (York) Topos
November 14, 2016, 16:15 The quantum character theory TFT David Jordan (Edinburgh) Topos
November 21, 2016, 16:15 H-cross products and applications to affine Hecke algebras Yuri Bazlov (Manchester) Topos

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
October 5, 2016, 11:30 - 12:30 Subwords and Stars Tom Bourne G/010
October 19, 2016, 11:30 - 12:30 On combinatorial conditions determining isomorphism class for finitely generated subgroups of Homeo_+(I): Advanced Ping-Pong dynamics. Collin Bleak G/135 (MSc Seminar room)
October 26, 2016, 11:30 A Fraisse-like theorem for homomorphism-homogeneous structures Tom Coleman G/135
November 2, 2016, 11:30 - 12:30 Finitely Generated Left Ideals in Banach Algebras on Monoids. Jared White G/135
November 9, 2016, 11:30 Semigroups from digraphs Maximilien Gadouleau G/135
November 23, 2016, 11:15 - 12:15 Infinite rewriting systems in monoids and groups Andrew Duncan G/135

See also the full list of York Semigroup talks.

iCal feed for this seminar

Other Semigroup Events:

North British Semigroups and Applications Network (NBSAN)