The Martino-Priddy conjecture asserts that two finite groups have equivalent p-completed classifying spaces if and only if their associated fusion systems at the prime p are isomorphic. This was first proved by Bob Oliver in 2004 and 2006.
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.
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
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
Professor Stephen Donkin
MA (Oxon), MSc,PhD (Warwick)
algebra, representation theory, algebraic groups
+44 1904 32 3669
Dr Brent Everitt
MSc (Toronto) PhD, BSc (Auckland)
Algebra, topology, combinatorics
+44 1904 32 3083
Dr Haralampos Geranios
MSc, PhD (Athens, Greece)
Representation Theory and Cohomology of Algebraic Groups and Invariant Theory
+44 1904 32 3096
Professor Victoria Gould
BA, DPhil (York)
+44 1904 32 3090
Dr Eli Hawkins
PhD (Penn State, Physics), PhD (Penn State, Mathematics)
+44 1904 32 3069
Prof. Niall MacKay
BA (Cambridge), PhD (Durham)
Integrable quantum field theory, quantum groups
+44 1904 32 3493
Professor Maxim Nazarov
MSc, PhD (Moscow)
+44 1904 32 3078
Dr Vidas Regelskis
PhD (York), MSc (Vilnius, Lithuania)
Yangians and Kac-Moody Lie algebras, Representation theory, Integrable systems
+44 1904 32 3079
Dr Bart Vlaar
PhD (Glasgow), MSc (Utrecht, Netherlands)
Integrable systems, Lie algebras, Quantum groups, Hecke algebras, Representation theory
+44 1904 32 XXXX
|Asawer Duraid Hamdi Al-Aadhami||BSc (Baghdad), MSc (Baghdad)||+44 1904 32 firstname.lastname@example.org|
|Majed Albaity||BSc & MSc (King Abdulaziz University); MSc (Western Ontario)||+44 1904 32 email@example.com|
|Sanaa Bajri||BSc (King Abdulaziz University), MSc (Canterbury, NZ)||+44 1904 32 firstname.lastname@example.org|
|Matthew Brookes||MMath (Cantab)||+44 1904 32 XXXXemail@example.com|
|Luuk Disselhorst||B Maths & M Maths (Groningen)||+44 1904 32 XXXXfirstname.lastname@example.org|
|Samuel Ford||MMath (Warwick)||+44 1904 32 XXXXemail@example.com|
|Benen Harrington||BA (Trinity College Dublin), MASt (Cantab)||+44 1904 32 XXXXfirstname.lastname@example.org|
|Samuel Martin||MSci (King's College London)||+44 1904 32 email@example.com|
|Thomas Quinn-Gregson||MMath (Manchester)||+44 1904 32 firstname.lastname@example.org|
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|
|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|
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|
|April 20, 2016, 11:30 - 12:30||Two Kinds of Congruence Networks on Regular Semigroups||Ying-Ying 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 Quinn-Gregson||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.