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.
Date and time:
November 30, 2015, 16:15
Speaker:
Mark Wildon (Royal Holloway, University of London)
Let B_t(n) be the number of partitions of a set of size t into at most n subsets. If n is at least t then B_t(n) is the classical Bell number B_t. In my talk I will describe two new combinatorial interpretations of the numbers B_t(n), using sequences of box moves on Young diagrams and sequences of randomtotop shuffles. I will then introduce Solomon's Descent Algebra and use it to sketch the proofs.
Read more
Edited 10 Nov 2015  09:38 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



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 3669 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 MSc, PhD (Athens, Greece) Representation Theory and Cohomology of Algebraic Groups and Invariant Theory +44 1904 32 3096 haralampos.geranios@york.ac.uk 

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

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

Prof. 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 
Ph.D. students in Algebra
Publications in Algebra
Submitted
In Press
2015
2014
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
Date and time:
November 30, 2015, 16:15
Speaker:
Mark Wildon (Royal Holloway, University of London)
Let B_t(n) be the number of partitions of a set of size t into at most n subsets. If n is at least t then B_t(n) is the classical Bell number B_t. In my talk I will describe two new combinatorial interpretations of the numbers B_t(n), using sequences of box moves on Young diagrams and sequences of randomtotop shuffles. I will then introduce Solomon's Descent Algebra and use it to sketch the proofs.
Read more
Edited 10 Nov 2015  09:38 by gh616
Programme for this term
Date and time 
Title 
Speaker 
Room 
September 21, 2015, 16:15  17:15 
Semidirect products of Lie algebras with free algebras of symmetric invariants 
Oksana Yakimova (Jena) 
G/109 
September 28, 2015, 16:15 
Dirac cohomology for symplectic reflection algebras 
Dan Ciubotaru (Oxford) 
G/109 
October 5, 2015, 16:15 
Separating invariants for actions of tori 
Emilie Dufresne (Durham) 
G/109 
October 12, 2015, 16:15 
Operations on the Hochschild complex of a functor 
Eli Hawkins (York) 
G/109 
November 2, 2015, 16:15 
Semigroup algebras and standard bases 
Sinead Lyle (UEA) 
G/109 
November 9, 2015, 16:15  17:15 
Reduction algebras and quantum groups 
Sergey Khoroshkin (Moscow) 
G/109 
November 16, 2015, 16:15 
A discrete introduction 
David Pauksztello (Manchester) 
G/109 
November 23, 2015, 16:15 
Hyperovals of Hermitian surfaces 
Oliver King (Newcastle) 
G/109 
November 30, 2015, 16:15 
Generalized Bell numbers, descent algebras and the eigenvalues of the randomtotop shuffle. 
Mark Wildon (Royal Holloway, University of London) 
G/109 
See also the
full list of Algebra Seminars.
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 email Vicky Gould.
Programme for this term
See also the full list of York Semigroup talks.
Other Semigroup Events:
North British Semigroups and Applications Network (NBSAN)