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.

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.

**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.

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

Orders and straight left orders in completely regular semigroups. Monatshefte fur Math. 131:193-214. Download: compreg.ps (496.47 KB)

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2000.
Primitive inverse congruences on categorical semigroups. Proc. Edinburgh Mathematical Society. 43:395-413.

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2000.
Right Cancellative and left ample monoids: quasivarieties and proper covers. Journal of Algebra. 228:428-456. Download: gex3.ps (307 KB)

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2000.
A Munn type representation for a class of E-semiadequate semigroups. Journal of Algebra. 218:693-714.

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1999.
Enlargements, semiabundancy and unipotent monoids. Communications in Algebra. 27:595-614.

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1999.
Independence structures. Semigroups with applications including Semigroup Rings.

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1999.
Inverse semigroups with zero: covers and their structure. J. Austral. Math. Soc A. 67:15-30.

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1999.
Maximal orders in semigroups. Communications in Algebra. 27:173-187.

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1999.
Orders in normal bands of groups. Mathematika. 43:295-319.

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1997.
Products of idempotent endomorphisms of free acts of infinite rank. Monatshefte fur Mathematik. 124:1-16.

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1997.
Left orders in completely O-simple semigroups. Semigroup Forum. 53:114-128.

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

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1996.
Idempotent bounded C-semigroups. Monatshefte fur Mathematik. 117:237-254.

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1994.
Proper left type-A covers. Portugaliae Mathematica. 51:305-319.

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1994.
The depth of the semigroup of balanced endomorphisms of an independence algebra. Mathematika. 41:199-208.

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1994.
Left idempotent bounded C-semigroups. Acta Sci Math (Szeged). 58:43-65.

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1993.
Products of idempotent endomorphisms of an independence algebra of finite rank. Math Proc Camb Phil Soc. 114:303-319.

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1993.
Proper left type-A monoids revisited. Glasgow Math J. 35:293-306.

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1993.
Left proper E-dense monoids. J P App. Alg. 80:1-27.

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1992.
Orders in semiprime rings with minimal condition for principal right ideals. Proc Royal Soc Edin. 121A:375-380.

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1992. 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.

No talk found.

Date and time | Title | Speaker | Room |
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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.

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.

Date and time | Title | Speaker | Room |
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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.

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