Dr Matt FayersReader in Pure Mathematics, Deputy Head of SchoolEmail: m.fayers@qmul.ac.ukTelephone: +44 (0)20 7882 5479Room Number: Mathematical Sciences Building, Room: MB-512Website: http://www.maths.qmul.ac.uk/~mfOffice Hours: http://www.maths.qmul.ac.uk/~mf/officehours.htmlProfileResearchPublicationsProfileI am a Reader in Pure Mathematics in the School of Mathematical Sciences. From 2014 to 2020 I was chair of the undergraduate exam board, and from 2018 to 2020 I was head of the Algebra and Number Theory group. 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. I hold an MA and a PhD from the University of Cambridge. I started at QMUL in 2004, but from 2006-2008 was a visiting postdoctoral fellow at MIT, supported by a fellowship from the Royal Commission for the Exhibition of 1851.ResearchResearch Interests:See Matthew Fayers’ research profile pages including details of research interests, publications, and live grants.Publications Fayers M, Kleshchev A, Morotti L (2024). Decomposition numbers for abelian defect RoCK blocks of double covers of symmetric groups Journal of the London Mathematical Society nameOfConference. 10.1112/jlms.12852 https://qmro.qmul.ac.uk/xmlui/handle/123456789/94632 Fayers M (publicationYear). Comparing Fock spaces in types $A^{(1)}$ and $A^{(2)}$ Algebraic Combinatorics nameOfConference. 10.5802/alco.300 https://qmro.qmul.ac.uk/xmlui/handle/123456789/94629 Fayers M, Morotti L (publicationYear). On the irreducible spin representations of symmetric and alternating groups which remain irreducible in characteristic 3 3 Representation Theory of the American Mathematical Society nameOfConference. 10.1090/ert/654 https://qmro.qmul.ac.uk/xmlui/handle/123456789/93892 Fayers M (2022). Minimal Partitions with a Given s-Core and t-Core Annals of Combinatorics nameOfConference. 10.1007/s00026-022-00577-4 https://qmro.qmul.ac.uk/xmlui/handle/123456789/80574 Fayers M (2022). Crystals, regularisation and the Mullineux map Journal of Combinatorial Algebra nameOfConference. 10.4171/jca/59 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/73221 Fayers M (publicationYear). Defect 2 2 spin blocks of symmetric groups and canonical basis coefficients Representation Theory of the American Mathematical Society nameOfConference. 10.1090/ert/600 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/77030 Fayers M (2020). Irreducible projective representations of the alternating group which remain irreducible in characteristic 2 Advances in Mathematics nameOfConference. 10.1016/j.aim.2020.107340 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/66145 Fayers M (2020). 2-chains: an interesting family of posets Discrete Mathematics nameOfConference. 10.1016/j.disc.2020.111988 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/64468 FAYERS M (2018). Simultaneous core multipartitions European Journal of Combinatorics nameOfConference. 10.1016/j.ejc.2018.09.012 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/53441 FAYERS M (2017). Irreducible projective representations of the symmetric group which remain irreducible in characteristic 2 Proceedings of the London Mathematical Society nameOfConference. 10.1112/plms.12087 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/28991 FAYERS M (2016). Dyck tilings and the homogeneous Garnir relations for graded Specht modules Journal of Algebraic Combinatorics: an international journal nameOfConference. 10.1007/s10801-016-0734-2 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/18428 FAYERS M (2016). (s,t)-cores: a weighted version of Armstrong's conjecture Electronic Journal of Combinatorics nameOfConference. 10.37236/6161 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/18191 Fayers M, Speyer L (2016). Generalised column removal for graded homomorphisms between Specht modules Journal of Algebraic Combinatorics nameOfConference. 10.1007/s10801-016-0674-x qmroHref Fayers M (2016). THE IRREDUCIBLE REPRESENTATIONS OF THE ALTERNATING GROUP WHICH REMAIN IRREDUCIBLE IN CHARACTERISTIC p TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY nameOfConference. 10.1090/tran/6531 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/11922 Fayers M (2014). A generalisation of core partitions JOURNAL OF COMBINATORIAL THEORY SERIES A nameOfConference. 10.1016/j.jcta.2014.05.006 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/30086 Barshevsky O, Fayers M, Schaps M (2013). A NON-RECURSIVE CRITERION FOR WEIGHTS OF A HIGHEST-WEIGHT MODULE FOR AN AFFINE LIE ALGEBRA ISRAEL JOURNAL OF MATHEMATICS nameOfConference. 10.1007/s11856-013-0031-x qmroHref Fayers M, Lyle S (2013). The reducible Specht modules for the Hecke algebra HC,-1(On) JOURNAL OF ALGEBRAIC COMBINATORICS nameOfConference. 10.1007/s10801-012-0360-6 qmroHref Fayers M (2012). An algorithm for semistandardising homomorphisms JOURNAL OF ALGEBRA nameOfConference. 10.1016/j.jalgebra.2012.04.020 qmroHref FAYERS M (2012). Irreducible Specht modules for Iwahori-Hecke algebras of type B Represent. Theory nameOfConference. 10.1090/S1088-4165-2012-00412-5 qmroHref Dodge CJ, Fayers M (2012). Some new decomposable Specht modules JOURNAL OF ALGEBRA nameOfConference. 10.1016/j.jalgebra.2012.01.035 qmroHref Fayers M (2011). The t-core of an s-core J COMB THEORY A nameOfConference. 10.1016/j.jcta.2011.01.004 qmroHref Fayers M (2010). An LLT-type algorithm for computing higher-level canonical bases J PURE APPL ALGEBRA nameOfConference. 10.1016/j.jpaa.2010.02.021 qmroHref Fayers M (2010). Partition models for the crystal of the basic U-q((sl)over-cap(n))-module J ALGEBR COMB nameOfConference. 10.1007/s10801-010-0217-9 qmroHref Fayers M (publicationYear). On the irreducible representations of the alternating group which remain irreducible in characteristic p p Representation Theory of the American Mathematical Society nameOfConference. 10.1090/s1088-4165-2010-00390-8 qmroHref Fayers M (2010). On the irreducible Specht modules for Iwahori-Hecke algebras of type A with q =-1 J ALGEBRA nameOfConference. 10.1016/j.jalgebra.2010.01.009 qmroHref Fayers M (2009). General runner removal and the Mullineux map J ALGEBRA nameOfConference. 10.1016/j.jalgebra.2009.09.027 qmroHref Fayers M, Lyle S (2009). Some reducible Specht modules for Iwahori-Hecke algebras of type A with q =-1 J ALGEBRA nameOfConference. 10.1016/j.jalgebra.2008.11.006 qmroHref Fayers M (2008). Regularisation and the Mullineux map ELECTRON J COMB nameOfConference. 10.37236/866 qmroHref Fayers M (2008). Weights of multipartitions and representations of Ariki-Koike algebras II: Canonical bases J ALGEBRA nameOfConference. 10.1016/j.jalgebra.2007.10.002 qmroHref Fayers M (2008). Decomposition numbers for weight three blocks of symmetric groups and Iwahori-Hecke algebras T AM MATH SOC nameOfConference. 10.1090/s0002-9947-07-04156-6 qmroHref Fayers M (2007). James's Conjecture holds for weight four blocks of Iwahori-Hecke algebras J ALGEBRA nameOfConference. 10.1016/j.jalgebra.2007.08.006 qmroHref Fayers M (2007). q-Analogues of regularisation theorems for linear and projective representations of the symmetric group J ALGEBRA nameOfConference. 10.1016/j.jalgebra.2007.01.036 qmroHref Fayers M (2007). Core blocks of Ariki-Koike algebras J ALGEBR COMB nameOfConference. 10.1007/s10801-006-0048-x qmroHref Fayers M (2007). Another runner removal theorem for v-decomposition numbers of Iwahori-Hecke algebras and q-Schur algebras J ALGEBRA nameOfConference. 10.1016/j.jalgebra.2006.12.021 qmroHref Fayers M, Tan KM (2007). The ordinary quiver of a weight three block of the symmetric group is bipartite ADV MATH nameOfConference. 10.1016/j.aim.2006.04.007 qmroHref Fayers M (2007). An Extension of James's Conjecture INT MATH RES NOTICES nameOfConference. 10.1093/imrn/rnm032 qmroHref Fayers M, Tan KM (2006). Adjustment matrices for weight three blocks of Iwahori-Hecke algebras J ALGEBRA nameOfConference. 10.1016/j.jalgebra.2006.01.054 qmroHref Fayers M, Lyle S, Martin S (2006). p-restriction of partitions and homomorphisms between Specht modules J ALGEBRA nameOfConference. 10.1016/j.jalgebra.2005.11.040 qmroHref Fayers M (2006). Weights of multipartitions and representations of Ariki-Koike algebras ADV MATH nameOfConference. 10.1016/j.aim.2005.07.017 qmroHref Fayers M (2006). Weight two blocks of Iwahori-Hecke algebras of type B J ALGEBRA nameOfConference. 10.1016/j.jalgebra.2006.05.006 qmroHref Fayers M (2005). Weight two blocks of Iwahori-Hecke algebras in characteristic two MATH PROC CAMBRIDGE nameOfConference. 10.1017/S0305004105008637 qmroHref Fayers M (2005). q-Schur subalgebras ALGEBR REPRESENT TH nameOfConference. 10.1007/s10468-005-8146-3 qmroHref Fayers M (2005). 0-Hecke algebras of finite Coxeter groups J PURE APPL ALGEBRA nameOfConference. 10.1016/j.jpaa.2004.12.001 qmroHref Fayers M (2005). Irreducible Specht modules for Hecke algebras of type A ADV MATH nameOfConference. 10.1016/j.aim.2004.06.001 qmroHref Fayers M (2005). Multiple-elimination knockout tournaments with the fixed-win property DISCRETE MATH nameOfConference. 10.1016/j.disc.2004.10.006 qmroHref Fayers M (2004). Reducible Specht modules J ALGEBRA nameOfConference. 10.1016/j.algebra.2003.09.053 qmroHref Fayers M, Martin S (2004). Homomorphisms between Specht modules MATH Z nameOfConference. 10.1007/s00209-004-0662-z qmroHref Fayers M, Lyle S (2003). Row and column removal theorems for homomorphisms between Specht modules J PURE APPL ALGEBRA nameOfConference. 10.1016/S0022-4049(03)00099-9 qmroHref Fayers M, Martin S (2003). General vertices in ordinary quivers for symmetric group algebras J ALGEBRA nameOfConference. 10.1016/S0021-8693(03)00071-1 qmroHref Fayers M (2003). On the structure of Specht modules J LOND MATH SOC nameOfConference. 10.1112/S0024610702003824 qmroHref Fayers M (2002). On weight three blocks of symmetric groups in characteristic three Q J MATH nameOfConference. 10.1093/qjmath/53.4.403 qmroHref Fayers M (2002). On the blocks of E-13 over a field of characteristic three MATH PROC CAMBRIDGE nameOfConference. 10.1017/S0305004101005758 qmroHref Fayers M (2002). Schur subalgebras II J ALGEBRA nameOfConference. 10.1016/s0021-8693(02)00066-2 qmroHref Fayers M, Martin S (2001). Schur subalgebras J ALGEBRA nameOfConference. 10.1006/jabr.2000.8744 qmroHref