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 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 termtime. 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.

Generalisations of Small Cancellation Theory


Series: 
Algebra Seminar
Date and time: 
May 20, 2013, 16:15 - 17:15
Speaker: 
Max Neunhöffer (St Andrews)
Room: 
G/001

In this talk I explain how Jeffrey Burdges, Steve Linton, Richard Parker, Colva Roney-Dougal and I want to generalise the classical Small Cancellation Theory in an algorithmic direction.

Edited 5 May 2013 - 10:31 by mb1004

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):  The next ARTIN meeting will be held in Lancaster on the 6th-8th September 2012.

Leeds York Lie Theory (LYLT):  The most recent LYLT meeting took place in York on November 4th 2009, with talks by Yuri Bazlov (Warwick) and Sibylle Schroll (Leicester). 

North British Geometric Group Theory (NBGGT):  The last NBGGT meeting was held in Edinburgh on December 8th 2010.

North British Semigroups and Applications Network (NBSAN):  The next NBSAN meeting will be held in York on Wednesday 21st November 2012.

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 Martina Balagovic  Quantum groups, Cherednik algebras, algebraic representation theory
  • 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

1996

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

1994

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.

1993

Fountain J, Gould V.  1993.  Left idempotent bounded C-semigroups. Acta Sci Math (Szeged). 58:43-65.

1992

Fountain J, Gould V.  1992.  Straight left orders in rings. Quart J Math Oxford. 43:303-311.

1991

Fountain J.  1991.  <E>-dense monoids. Monash Conf on Semigroup The. :68-76.
Fountain J.  1991.  Free right type A semigroups. Glasgow Math J. 33:135-148.
Fountain J.  1991.  Products of idempotent integer matrices. Math Proc Cam Phil Soc. 110:431-441.

1990

Fountain J, Gould V.  1990.  Orders in rings without identity. Comm in Algebra. 18:3085-3110.
Fountain J.  1990.  Semigroups of quotients. Seminario, Lisbon. :1-11.

1989

Fountain J, Petrich M.  1989.  Completely O-simple semigroups III. Math Proc Camb Phil Soc. 105:263-275.

Algebra Seminar

The seminar takes place on Mondays from 16:15 in Room G/001 in the James College Nucleus. The typical length of the talks is about 1 hour. The seminar organisers are Michael Bate and Steve Donkin.

Next Seminar

Generalisations of Small Cancellation Theory


Series: 
Algebra Seminar
Date and time: 
May 20, 2013, 16:15 - 17:15
Speaker: 
Max Neunhöffer (St Andrews)
Room: 
G/001

In this talk I explain how Jeffrey Burdges, Steve Linton, Richard Parker, Colva Roney-Dougal and I want to generalise the classical Small Cancellation Theory in an algorithmic direction.

Edited 5 May 2013 - 10:31 by mb1004

Programme for this term

Date and timesort icon Title Speaker Room
April 29, 2013, 16:15 - 17:15 Power structure on the Grothendieck ring of varieties, with applications to Hilbert schemes and Calogero-Moser spaces Oleg Chalykh (Leeds) G/001
May 13, 2013, 16:15 - 17:15 W-algebras and Whittaker coinvariants Simon Goodwin (Birmingham) G/001
May 20, 2013, 16:15 - 17:15 Generalisations of Small Cancellation Theory Max Neunhöffer (St Andrews) G/001
June 3, 2013, 16:15 - 17:15 TBA Joseph Grant (Leeds) G/001
June 10, 2013, 16:15 - 17:15 TBA Evgeny Mukhin (Indianapolis) G/001
June 17, 2013, 16:15 - 17:15 TBA Alina Vdovina (Newcastle) G/001
July 1, 2013, 16:15 - 17:15 TBA Donna Testerman (EPFL) G/001


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 8, 2013, 11:15 - 12:15 Free idempotent-generated semigroups Dandan Yang (York) G/001
May 9, 2013, 10:30 - 11:30 Semigroups with skeletons and Zappa-Szép products Rida-e-Zenab (York) G/010
May 22, 2013, 11:15 - 12:15 Categorical and semigroup-theoretic descriptions of Bass-Serre Theory Mark Lawson (Heriot-Watt) 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): The next NBSAN meeting in York will be held 21th November 2012.