The character of a finitedimensional irreducible module over a semisimple Lie algebra is given by the famous Weyl character formula.
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.
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 research interests. Clicking on the name of a particular member of staff will direct you to their homepage.
Dr Michael Bate MMath (Oxon), PhD (Birmingham) Algebraic Groups, Representation Theory, GIT, Buildings +44 1904 32 3026 michael.bate@york.ac.uk 

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 

Professor Stephen Donkin MA (Oxon), MSc,PhD (Warwick) algebra, representation theory, algebraic groups +44 1904 32 4102 sd510@york.ac.uk 

Dr Brent Everitt MSc (Toronto) PhD, BSc (Auckland) Algebra, topology, combinatorics +44 1904 32 3083 brent.everitt@york.ac.uk 

Dr Haralampos Geranios PhD (Athens, Greece) Representation Theory of Algebraic Groups and Invariant Theory +44 1904 32 3079 gh616@york.ac.uk 

Professor Victoria Gould BA, DPhil (York) Semigroup theory +44 1904 32 3090 varg1@york.ac.uk 

Dr Miklos Hartmann MSc, PhD (Szeged, Hungary) Structure theory for semigroups, monoid actions. +44 1904 32 3096 mh1029@york.ac.uk 

Dr Eli Hawkins PhD (Penn State, Physics), PhD (Penn State, Mathematics) +44 1904 32 3069 eh555@york.ac.uk 

Dr Niall MacKay BA (Cambridge), PhD (Durham) Integrable quantum field theory, quantum groups +44 1904 32 3493 niall.mackay@york.ac.uk 

Professor Maxim Nazarov MSc, PhD (Moscow) Representation Theory +44 1904 32 3078 mln1@york.ac.uk 

Dr. Antonio Sartori PhD (University of Bonn) Representations of Lie algebras and Lie superalgebras, BGG category O, Khovanov homology and categorification. +44 1904 32 3078 antonio.sartori@york.ac.uk 

Dr Lewis Topley Lie theory and representation theory +44 1904 32 XXXX lewis.topley@york.ac.uk 
Name  Degree information  Phone  

Asawer Duraid Hamdi AlAadhami  BSc (Baghdad), MSc (Baghdad)  +44 1904 32 4159  adaa501@york.ac.uk 
Oliver Goodbourn  BSc (Edinburgh), MSc (Imperial)  +44 1904 32 3844  ofg500@york.ac.uk 
Thomas QuinnGregson  MMath (Manchester)  +44 1904 32 3845  tdqg500@york.ac.uk 
Ridae Zenab  BA (Punjab), MSc (Gujrat), MPhil (QuaidIAzam)  +44 1904 32 4159  rzz500@york.ac.uk 
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.
Date and time  Title  Speaker  Room 

September 23, 2014, 16:15  On KacWakimoto character formula  Maria Gorelik (Weizmann Institute)  G/109 
October 6, 2014, 16:15  TBA  Lewis Topley (York)  G/109 
October 13, 2014, 16:15  TBA  Oliver King (Leeds)  G/109 
October 20, 2014, 16:15  TBA  Oliver Goodbourn (York)  G/109 
October 27, 2014, 16:15  TBA  Charles Eaton (Manchester)  G/109 
November 3, 2014, 16:15  TBA  Ilke Canakci (Leicester)  G/109 
November 10, 2014, 16:15  TBA  David Ferguson (York)  G/109 
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 email Vicky Gould.
Date and time  Title  Speaker  Room 

September 5, 2014, 11:30  12:30  Examining Commutativity in the Symmetric Inverse Semigroup  Wolfram Bentz (Centro dé Algebra da Universidade de Lisboa, Portugal)  G/002 
October 8, 2014, 11:30  12:30  Clones determined by clausal relations  Dr Edith VargasGarcia  G/001 
See also the full list of York Semigroup talks.