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.

Restricted rational Cherednik algebras


Series: 
Algebra Seminar
Date and time: 
February 2, 2015, 16:15
Speaker: 
Gwyn Bellamy (Glasgow)
Room: 
G/109

I will try to give an overview of the representation theory of restricted rational Cherednik algebras, and some motivation for their study. In particular, it will be shown that their graded representations is a highest weight category and provides a lot of information about the geometry of the associated Calogero-Moser space.

Edited 27 Jan 2015 - 11:20 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

bate-michael
Dr Michael Bate
MMath (Oxon), PhD (Birmingham)
Algebraic Groups, Representation Theory, GIT, Buildings
+44 1904 32 3026
michael.bate@york.ac.uk
delius-gustav
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
gustav.delius@york.ac.uk
donkin-stephen
Professor Stephen Donkin
MA (Oxon), MSc,PhD (Warwick)
algebra, representation theory, algebraic groups
+44 1904 32 4102
sd510@york.ac.uk
everitt-brent-3b-600b.JPG
Dr Brent Everitt
MSc (Toronto) PhD, BSc (Auckland)
Algebra, topology, combinatorics
+44 1904 32 3083
brent.everitt@york.ac.uk
geranios-haralampos
Dr Haralampos Geranios
PhD (Athens, Greece)
Representation Theory of Algebraic Groups and Invariant Theory
+44 1904 32 3079
gh616@york.ac.uk
gould-victoria
Professor Victoria Gould
BA, DPhil (York)
Semigroup theory
+44 1904 32 3090
victoria.gould@york.ac.uk
hartmann-miklos
Dr Miklos Hartmann
MSc, PhD (Szeged, Hungary)
Structure theory for semigroups, monoid actions.
+44 1904 32 3096
mh1029@york.ac.uk
hawkins-eli-2
Dr Eli Hawkins
PhD (Penn State, Physics), PhD (Penn State, Mathematics)
+44 1904 32 3069
eh555@york.ac.uk
Pure_Niall_Mackay.jpg
Prof. Niall MacKay
BA (Cambridge), PhD (Durham)
Integrable quantum field theory, quantum groups
+44 1904 32 3493
niall.mackay@york.ac.uk
nazarov-maxim
Professor Maxim Nazarov
MSc, PhD (Moscow)
Representation Theory
+44 1904 32 3078
mln1@york.ac.uk

Ph.D. students in Algebra

Name Degree information Phone E-mail
Asawer Duraid Hamdi Al-Aadhami BSc (Baghdad), MSc (Baghdad) +44 1904 32 4159 adaa501@york.ac.uk
Majed Albaity BSc & MSc (King Abdulaziz University); MSc (Western Ontario) +44 1904 32 XXXX mosa500@york.ac.uk
Oliver Goodbourn BSc (Edinburgh), MSc (Imperial) +44 1904 32 3844 ofg500@york.ac.uk
Samuel Martin MSci (King's College London) +44 1904 32 XXXX srm536@york.ac.uk
Thomas Quinn-Gregson MMath (Manchester) +44 1904 32 3845 tdqg500@york.ac.uk
Rida-e Zenab BA (Punjab), MSc (Gujrat), MPhil (Quaid-I-Azam) +44 1904 32 4159 rzz500@york.ac.uk

Publications in Algebra

2005

Everitt B, Ratcliffe J, Tschantz S.  2005.  The Smallest Hyperbolic 6-Manifolds. Research Announcements of the American Mathematical Society. 11:40-46. Abstract

2004

Everitt B.  2004.  3-Manifolds from Platonic Solids. Topology and its Applications. 138:253-263. Abstract
Nazarov M.  2004.  A mixed hook-length formula for affine Hecke algebras. European Journal of Combinatorics. 25:1345-1376.
Fountain J, Pin J-E, Weil P.  2004.  Covers for Monoids. Journal of Algebra. 271:529-586. Abstract
Everitt B.  2004.  Coxeter Groups and Hyperbolic Manifolds. Mathematische Annalen. 330(1):127-150. Abstract
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: partialcarevised.ps (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.

2003

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.

2002

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

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

Restricted rational Cherednik algebras


Series: 
Algebra Seminar
Date and time: 
February 2, 2015, 16:15
Speaker: 
Gwyn Bellamy (Glasgow)
Room: 
G/109

I will try to give an overview of the representation theory of restricted rational Cherednik algebras, and some motivation for their study. In particular, it will be shown that their graded representations is a highest weight category and provides a lot of information about the geometry of the associated Calogero-Moser space.

Edited 27 Jan 2015 - 11:20 by gh616

Programme for this term

Date and timesort icon Title Speaker Room
January 12, 2015, 16:15 The graded representation theory of the symmetric group and dominated homomorphisms Liron Speyer (Queen Mary University) G/109
January 19, 2015, 16:15 Graded RoCK blocks and wreath products Anton Evseev (Birmingham) G/109
January 26, 2015, 16:15 Isomorphisms of affine Schur algebras Vanessa Miemietz (UEA) G/109
February 2, 2015, 16:15 Restricted rational Cherednik algebras Gwyn Bellamy (Glasgow) G/109
February 9, 2015, 16:15 TBA Iain Gordon (Edinburgh) G/109
February 16, 2015, 16:15 - 17:15 Quantum Pfaffians and generalizations Naihuan Jing (North Carolina) G/109
February 23, 2015, 16:15 tba Brent Everitt (York) 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
January 13, 2015, 16:00 - 17:00 Poset cohomology, Leray numbers and the global dimension of left regular band algebras Professor Stuart Margolis G/010
February 4, 2015, 11:30 - 12:30 From the geometry of model theory to a geometry of number theory Professor Boris Zilber 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)