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

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 (algebraic) research interests. Clicking on the name of a particular member of staff will direct you to their homepage.

  • Dr Michael Bate  Subgroup structure and representation theory of linear algebraic groups; spherical buildings; geometric invariant theory
  • Dr Gustav Delius  Boundary affine algebras and twisted Yangians
  • Professor Stephen Donkin  Algebra; representation theory; algebraic groups
  • Dr Brent Everitt  (Co)homology of sheaves over categories; combinatorics and representations of Coxeter groups
  • Professor John Fountain  Semigroup Theory and Group Theory
  • Dr Haralampos Geranios  Representations of algebraic groups and invariant theory
  • Professor Victoria Gould  Semigroup theory: structure theory for non-regular semigroups; endomorphism monoids of certain universal algebras; semigroups of quotients; S-sets over a monoid S
  • Dr Miklos Hartmann Structure theory for orthodox semigroups and theory of S-acts
  • Dr Eli Hawkins Noncommutative deformations, Lie groupoids and algebroids, geometric models of noncommutative algebras, C*-algebras, Hochschild and cyclic (co)homology
  • Dr Niall MacKay  Yangians, quantum affine algebras and their representations and realizations in physics; generalizations of Brauer and symmetric-group centralizer algebras to exceptional Lie algebras, and their diagrammatic representations
  • Professor Maxim Nazarov  Representations of affine quantum groups and affine Hecke algebras
  • Professor Reidun Twarock  Affine extensions of noncrystallographic Coxeter groups with applications in virology

Publications in Algebra

2004

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.

2001

2000

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.

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 organisers are currently Stephen Donkin and Brent Everitt.

Next Seminar

No talk found.

Programme for this term

Date and timesort icon Title Speaker Room
April 28, 2014, 16:15 Categorification of Lie algebra representations. Antonio Sartori (York) G/109
May 12, 2014, 16:15 - 17:15 Decomposing tensor products of irreps of algebraic groups in positive characteristic Stephen Doty G/109
May 19, 2014, 16:15 CANCELLED: Irreducible modules for degenerate DAHA of type A Martina Balagovic (Newcastle) G/109
June 2, 2014, 16:15 - 17:15 Modular representation theory of the partition algebra Maud DeVisscher (City University) G/109
June 9, 2014, 16:15 Composition Factors of Tensor Products of Truncated Symmetric Powers Haralampos Geranios (York) G/109
June 30, 2014, 16:15 - 17:15 Baxter operators for Macdonald polynomials and the local Langlands correspondence Sergey Oblezin (Nottingham) 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
May 7, 2014, 11:30 - 12:30 Infinite monoids as geometric objects Robert Gray (UEA) G/002
June 11, 2014, 11:30 - 12:30 Comparison semigroups and Algebras of Transformations Dr Tim Stokes G/002
June 26, 2014, 11:30 - 12:30 The Brauer project: Enumeration of idempotents in partition monoids James East, University of Western Sydney G/002
July 4, 2014, 11:30 - 12:30 Idempotent generators in infinite partition monoids Dr James East G/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): The next NBSAN meeting in York will be held 21th November 2012.