In the early 1980's Aschbacher, O'Nan and Scott obtained two conditions which are both necessary and sufficient for the solution of the maximal subgroup of arbitrary finite groups.
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 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 
Name  Degree information  Phone  

Asawer Duraid Hamdi AlAadhami  BSc (Baghdad), MSc (Baghdad)  +44 1904 32 4159  adaa501@york.ac.uk 
Majed Albaity  BSc & MSc (King Abdulaziz University); MSc (Western Ontario)  +44 1904 32 4586  mosa500@york.ac.uk 
Luuk Disselhorst  B Maths & M Maths (Groningen)  +44 1904 32 XXXX  ljd536@york.ac.uk 
Benen Harrington  BA (Trinity College Dublin), MASt (Cantab)  +44 1904 32 XXXX  bh885@york.ac.uk 
Samuel Martin  MSci (King's College London)  +44 1904 32 n/a  srm536@york.ac.uk 
Thomas QuinnGregson  MMath (Manchester)  +44 1904 32 3845  tdqg500@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 

January 11, 2016, 16:15  Noncommutative Iwasawa algebras  Konstantin Ardakov (Oxford)  G/109 
January 18, 2016, 16:15  A modular analogue of Morozov’ s theorem on nonsemisimple maximal subalgebras.  Sasha Premet (Manchester)  G/109 
February 1, 2016, 16:15  Complete reducibility of subalgebras and the JacobsonMorozov theorem.  David Stewart (Newcastle)  G/109 
February 8, 2016, 16:15  Maximal subgroups of classical groups  Kay Magaard (Birmingham)  G/109 
February 22, 2016, 16:15  tba  Adam Thomas (Bristol)  G/109 
February 29, 2016, 16:15  tba  Paul Levy (Lancaster)  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 

January 12, 2016, 14:00  15:00  Idempotents and partial transformation monoids  Dr Dandan Yang  W/307 
February 24, 2016, 11:00  12:00  TBA  Mike Whittaker  P/L/005 
See also the full list of York Semigroup talks.