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:
October 3, 2016, 16:15
Speaker:
Iva Halacheva (Lancaster)
A finitedimensional complex reductive Lie algebra g has, for each highest weight irreducible representation, a crystal graph encoding combinatorially the information of that representation. We study the cactus group J(g), which is a cousin of the braid group B(g), and define an action of it on any gcrystal via Schützenberger involutions. We further show that this action can be realized geometrically as a monodromy action coming from a family of maximal commutative subalgebras of U(g), known as the shift of argument algebras.
Edited 27 Sep 2016  14:27 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
Representation Theory of Algebraic Groups: Conference in Honour of Stephen Donkin
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 

Dr Vidas Regelskis PhD (York), MSc (Vilnius, Lithuania) Yangians and KacMoody Lie algebras, Representation theory, Integrable systems +44 1904 32 3079 vidas.regelskis@york.ac.uk 

Dr Bart Vlaar Integrable systems, Lie algebras, Quantum groups, Hecke algebras, Representation theory +44 1904 32 XXXX bhmv500@york.ac.uk 
Ph.D. students in Algebra
Publications in Algebra
2004
2003
2002
2001
2000
1999
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:
October 3, 2016, 16:15
Speaker:
Iva Halacheva (Lancaster)
A finitedimensional complex reductive Lie algebra g has, for each highest weight irreducible representation, a crystal graph encoding combinatorially the information of that representation. We study the cactus group J(g), which is a cousin of the braid group B(g), and define an action of it on any gcrystal via Schützenberger involutions. We further show that this action can be realized geometrically as a monodromy action coming from a family of maximal commutative subalgebras of U(g), known as the shift of argument algebras.
Edited 27 Sep 2016  14:27 by gh616
Programme for this term
Date and time 
Title 
Speaker 
Room 
April 18, 2016, 16:15 
On commuting varieties of parabolic subalgebras 
Simon Goodwin (Birmingham) 
G/109 
April 25, 2016, 16:15 
Generalised Foulkes modules for symmetric groups and the plethysm problem 
Rowena Paget (Kent) 
G/109 
May 9, 2016, 16:15 
Balanced semisimple filtrations for tilting modules 
Amit Hazi (Cambridge) 
G/109 
May 16, 2016, 16:15 
Hidden symmetries in equivariant cohomology related to quantum groups 
Vassily Gorbunov (Aberdeen) 
G/109 
May 23, 2016, 16:15 
Decomposing SL2 modules in prime characteristic 
Sam Martin (York) 
G/109 
June 6, 2016, 16:15 
Twisted Yangians for symmetric pairs of types B, C, D and their representations 
Vidas Regelskis (York) 
G/109 
June 13, 2016, 16:15 
Fourier algebra of a locally compact hypergroup 
Alexander Kalyuzhnyi (Kiev) 
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
Date and time 
Title 
Speaker 
Room 
April 20, 2016, 11:30  12:30 
Two Kinds of Congruence Networks on Regular Semigroups 
YingYing Feng 
G/013 
May 4, 2016, 11:30 
Representation theory of finite regular semigroups 
Dr Brent Everitt 
G/013 
May 11, 2016, 11:00  12:00 
NBSAN: Ideals in \beta S 
Professor Garth Dales 
P/L/001 
May 18, 2016, 11:30 
Representations of finite regular semigroups 
Brent Everitt 
G/013 
May 25, 2016, 11:30  12:30 
Homogeneous bands 
Tom QuinnGregson 
G/013 
June 1, 2016, 11:30  12:30 
Counting idempotents in semigroups of partitions 
Dr James Mitchell 
G/013 
June 7, 2016, 11:30 
Representations of finite regular semigroups 
Brent Everitt 
G/013 
August 5, 2016, 11:30  12:30 
Motzkin monoids 
Dr James East 
B/B/002 
See also the full list of York Semigroup talks.
Other Semigroup Events:
North British Semigroups and Applications Network (NBSAN)