Dr Matthew Fayers
Reader in Pure Mathematics
School of Mathematical Sciences
Queen Mary University of London
Queen Mary University of London
Research
Representation theory, Algebraic combinatorics, Finite groups, Hecke algebras, Quantum algebra
Interests
My research interests are in algebra and combinatorics, stemming mainly from the representation theory of the symmetric group in prime characteristic, and the associated combinatorics of integer partitions. Beyond the symmetric group, I study Iwahori-Hecke algebras and quantum Lie theory.Publications
Publications of specific relevance to the Centre for Combinatorics, Algebra and Number Theory2024
Decomposition numbers for abelian defect RoCK blocks of double covers of symmetric groupsFayers M, Kleshchev A and Morotti L
Journal of The London Mathematical Society, Wiley vol. 109 (2)
31-01-2024
2023
Comparing Fock spaces in types $A^{(1)}$ and $A^{(2)}$Fayers M
Algebraic Combinatorics, Cellule Mathdoc/Centre Mersenne vol. 6 (5), 1347-1381.
07-11-2023
On the irreducible spin representations of symmetric and alternating groups which remain irreducible in characteristic 3 3Fayers M and Morotti L
Representation Theory of The American Mathematical Society, American Mathematical Society (Ams) vol. 27 (22), 778-814.
11-09-2023
2022
Minimal Partitions with a Given s-Core and t-CoreFayers M
Annals of Combinatorics, Springer, 1-32.
25-08-2022
Crystals, regularisation and the Mullineux mapFayers M
Journal of Combinatorial Algebra, European Mathematical Society - Ems - Publishing House vol. 6 (3), 315-352.
21-06-2022
Defect 2 2 spin blocks of symmetric groups and canonical basis coefficientsFayers M
Representation Theory of The American Mathematical Society, American Mathematical Society (Ams) vol. 26 (06), 134-178.
17-03-2022
2020
Irreducible projective representations of the alternating group which remain irreducible in characteristic 2Fayers M
Advances in Mathematics, Elsevier
05-08-2020
2018
Simultaneous core multipartitionsFAYERS M
European Journal of Combinatorics, Elsevier vol. 76
29-10-2018
2017
Irreducible projective representations of the symmetric group which remain irreducible in characteristic 2FAYERS M
Proceedings of The London Mathematical Society, London Mathematical Society
08-12-2017
2016
Dyck tilings and the homogeneous Garnir relations for graded Specht modulesFAYERS M
Journal of Algebraic Combinatorics: An International Journal, Springer Verlag (Germany)
27-12-2016
(s,t)-cores: a weighted version of Armstrong's conjectureFAYERS M
Electronic Journal of Combinatorics vol. 23 (4)
25-11-2016
Generalised column removal for graded homomorphisms between Specht modulesFayers M and Speyer L
Journal of Algebraic Combinatorics, Springer Nature vol. 44 (2), 393-432.
17-03-2016
2015
THE IRREDUCIBLE REPRESENTATIONS OF THE ALTERNATING GROUP WHICH REMAIN IRREDUCIBLE IN CHARACTERISTIC pFayers M
Transactions of The American Mathematical Society vol. 368 (8), 5807-5855.
03-12-2015
2014
A generalisation of core partitionsFayers M
Journal of Combinatorial Theory Series A vol. 127, 58-84.
01-01-2014
2013
The reducible Specht modules for the Hecke algebra HC,-1(On)Fayers M and Lyle S
Journal of Algebraic Combinatorics vol. 37 (2), 201-241.
01-01-2013
A NON-RECURSIVE CRITERION FOR WEIGHTS OF A HIGHEST-WEIGHT MODULE FOR AN AFFINE LIE ALGEBRABarshevsky O, Fayers M and Schaps M
Israel Journal of Mathematics vol. 197 (1), 237-261.
01-01-2013
2012
Some new decomposable Specht modulesDodge CJ and Fayers M
Journal of Algebra vol. 357, 235-262.
01-01-2012
An algorithm for semistandardising homomorphismsFayers M
Journal of Algebra vol. 364, 38-51.
01-01-2012
Irreducible Specht modules for Iwahori-Hecke algebras of type BFAYERS M
Represent. Theory vol. 16, 108-126.
01-01-2012
2011
2010
An LLT-type algorithm for computing higher-level canonical basesFayers M
J Pure Appl Algebra vol. 214 (12), 2186-2198.
01-12-2010
Partition models for the crystal of the basic U-q((sl)over-cap(n))-moduleFayers M
J Algebr Comb vol. 32 (3), 339-370.
01-11-2010
On the irreducible representations of the alternating group which remain irreducible in characteristic p pFayers M
Representation Theory of The American Mathematical Society, American Mathematical Society (Ams) vol. 14 (16), 601-626.
01-09-2010
On the irreducible Specht modules for Iwahori-Hecke algebras of type A with q =-1Fayers M
J Algebra vol. 323 (6), 1839-1844.
15-03-2010
2009
Some reducible Specht modules for Iwahori-Hecke algebras of type A with q =-1Fayers M and Lyle S
J Algebra vol. 321 (3), 912-933.
01-02-2009
2008
Weights of multipartitions and representations of Ariki-Koike algebras II: Canonical basesFayers M
J Algebra vol. 319 (7), 2963-2978.
01-04-2008
Decomposition numbers for weight three blocks of symmetric groups and Iwahori-Hecke algebrasFayers M
T Am Math Soc vol. 360 (3), 1341-1376.
01-01-2008
2007
James's Conjecture holds for weight four blocks of Iwahori-Hecke algebrasFayers M
J Algebra vol. 317 (2), 593-633.
15-11-2007
q-Analogues of regularisation theorems for linear and projective representations of the symmetric groupFayers M
J Algebra vol. 316 (1), 346-367.
01-10-2007
Another runner removal theorem for v-decomposition numbers of Iwahori-Hecke algebras and q-Schur algebrasFayers M
J Algebra vol. 310 (1), 396-404.
01-04-2007
The ordinary quiver of a weight three block of the symmetric group is bipartiteFayers M and Tan KM
Adv Math vol. 209 (1), 69-98.
15-02-2007
2006
Adjustment matrices for weight three blocks of Iwahori-Hecke algebrasFayers M and Tan KM
J Algebra vol. 306 (1), 76-103.
01-12-2006
p-restriction of partitions and homomorphisms between Specht modulesFayers M, Lyle S and Martin S
J Algebra vol. 306 (1), 175-190.
01-12-2006
Weights of multipartitions and representations of Ariki-Koike algebrasFayers M
Adv Math vol. 206 (1), 112-144.
20-10-2006
Weight two blocks of Iwahori-Hecke algebras of type BFayers M
J Algebra vol. 303 (1), 154-201.
01-09-2006
2005
Weight two blocks of Iwahori-Hecke algebras in characteristic twoFayers M
Math Proc Cambridge vol. 139, 385-397.
01-11-2005
0-Hecke algebras of finite Coxeter groupsFayers M
J Pure Appl Algebra vol. 199 (1-3), 27-41.
01-07-2005
Irreducible Specht modules for Hecke algebras of type AFayers M
Adv Math vol. 193 (2), 438-452.
01-06-2005
Multiple-elimination knockout tournaments with the fixed-win propertyFayers M
Discrete Math vol. 290 (1), 89-97.
28-01-2005
2004
2003
Row and column removal theorems for homomorphisms between Specht modulesFayers M and Lyle S
J Pure Appl Algebra vol. 185 (1-3), 147-164.
01-12-2003
General vertices in ordinary quivers for symmetric group algebrasFayers M and Martin S
J Algebra vol. 263 (1), 88-118.
01-05-2003
2002
On weight three blocks of symmetric groups in characteristic threeFayers M
Q J Math vol. 53, 403-419.
01-12-2002
On the blocks of E-13 over a field of characteristic threeFayers M
Math Proc Cambridge vol. 133, 1-29.
01-07-2002
2001
Grants
Grants of specific relevance to the Centre for Combinatorics, Algebra and Number TheoryIrreducible modular representationsMatthew Fayers
£65,811 EPSRC Engineering and Physical Sciences Research Council
01-07-2022 - 31-12-2022