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.

No talk found.

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
Vidas Regelskis
PhD (York), MSc (Vilnius, Lithuania)
Yangians and Kac-Moody Lie algebras, Representation theory, Integrable systems
+44 1904 32 3079

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
Luuk Disselhorst B Maths & M Maths (Groningen) +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

No talk found.

Programme for this term

Date and timesort icon Title Speaker Room
April 18, 2016, 16:15 On commuting varieties of parabolic subalgebras Simon Goodwin (Birmingham) G/109
April 25, 2016, 16:15 Generalised Foulkes modules for symmetric groups and the plethysm problem Rowena Paget (Kent) G/109
May 9, 2016, 16:15 Balanced semisimple filtrations for tilting modules Amit Hazi (Cambridge) G/109
May 16, 2016, 16:15 Hidden symmetries in equivariant cohomology related to quantum groups Vassily Gorbunov (Aberdeen) G/109
May 23, 2016, 16:15 Decomposing SL2 modules in prime characteristic Sam Martin (York) G/109
June 6, 2016, 16:15 Twisted Yangians for symmetric pairs of types B, C, D and their representations Vidas Regelskis (York) G/109
June 13, 2016, 16:15 Fourier algebra of a locally compact hypergroup Alexander Kalyuzhnyi (Kiev) 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
April 20, 2016, 11:30 - 12:30 Two Kinds of Congruence Networks on Regular Semigroups Ying-Ying Feng G/013
May 4, 2016, 11:30 Representation theory of finite regular semigroups Dr Brent Everitt G/013
May 11, 2016, 11:00 - 12:00 NBSAN: Ideals in \beta S Professor Garth Dales P/L/001
May 18, 2016, 11:30 Representations of finite regular semigroups Brent Everitt G/013
May 25, 2016, 11:30 - 12:30 Homogeneous bands Tom Quinn-Gregson G/013
June 1, 2016, 11:30 - 12:30 Counting idempotents in semigroups of partitions Dr James Mitchell G/013
June 7, 2016, 11:30 Representations of finite regular semigroups Brent Everitt G/013
August 5, 2016, 11:30 - 12:30 Motzkin monoids Dr James East B/B/002

See also the full list of York Semigroup talks.

iCal feed for this seminar

Other Semigroup Events:

North British Semigroups and Applications Network (NBSAN)