I completed my PhD at the University of Aberdeen under the supervision of David John Benson. Previously, I did my first and Master degrees at the National University of Singapore. I grew up in Penang.
B.Sc. 2005
M.Sc. 2007
Ph.D. 2009
I am interested in the representation theory of finite dimensional algebras and its connections with algebraic combinatorics and algebraic geometry.
The varieties for some Specht modules, J. Algebra 321 (2009), 2287-2301.
Some explicit rank varieties for Specht modules, Oberwolfach Report 2009.
The complexity of the Specht modules corresponding to hook partitions, Arch. Math. (Basel) 93 (2009), 11-22.
Specht modules with abelian vertices, J. Algebraic Combin. 35 (2012), 157-171.
Schur functor on tensor powers, Arch. Math. (Basel) 98 (2012), 99-104. (with K. M. Tan)
Asymptotic behaviour of Lie powers and Lie modules, Q. J. Math. 63 (2012), 845-853. (with R. Bryant and K. M. Tan)
The complexities of some simple modules of the symmetric groups, Bull. Lond. Math. Soc. 45 (2013), no. 3, 497-510. (with K. M. Tan)
The complexity of the Lie module, Proc. Edinb. Math. Soc. (2) 57 (2014), no. 2, 393-404. (with K. Erdmann and K. M. Tan)
Generic Jordan type of symmetric and exterior powers, J. Algebra Appl. 13 (2014), no. 5, 1350163, 8 pp. (with D. J. Benson)
Periodic Lie modules, J. Algebra 445 (2016), 280-294. (with K. M. Tan)
Sylow subgroups of symmetric and alternating groups and the vertex of S^{(kp-p,1^p)} in characteristic p, J. Algebra 455 (2016) 358-385. (with E. Giannelli and M. Wildon)
Signed Young modules and simple Specht modules, Adv. Math. 307 (2017), 369-416. (with S. Danz)
Check arXiv:1504.02823v4 for errata.
On signed p-Kostka numbers and the indecomposable signed Young permutation modules, J. Group Theory 20 (2017), no. 4, 637-679. (with E. Giannelli, W. O'Donovan and M. Wildon)
Homomorphisms from Specht modules to signed Young permutation modules, SIGMA 14 (2018), 038, 21 pages (special issue on the Representation Theory of Symmetric Groups and Related Topics). (with K. M. Tan)
Straightening rule for an m'-truncated polynomial ring, J. Algebra 522 (2019), 11-30.
Jantzen filtration of Weyl modules, product of Young symmetrizers and denominator of Young's seminormal basis, Represent. Theory 24 (2020), 551-579. (with M. Fang and K. M. Tan)
On signed p-Kostka matrices, J. Pure Appl. Algebra 225 (2021), no. 6, 106631, 22 pp. (with E. Giannelli)
Young’s seminormal basis vectors and their denominators, J. Combin. Theory Ser. A 184 (2021), Paper No. 105494, 39 pp. (with M. Fang and K. M. Tan)
A note on the signature representations of the symmetric groups, Algebra Colloq. 28 (2021), no. 3, 469-478. (with J. L. Wang)
Modular idempotents for the descent algebras of type A and higher Lie powers and modules, J. Algebra 628 (2023), 98-162.
Small modules with interesting rank varieties, J. Algebra 630 (2023), 198-224. (with J. L. Wang)
Projective modules and cohomology for integral basic algebras, Int. Math. Res. Not. IMRN 2025, no. 9, Paper No. rnaf105. (with D. J. Benson)
Representation type of the descent algebras of type A, to appear in Science China Mathematics. (with K. Erdmann)
On the Brauer constructions and generic Jordan types of Young modules, arXiv:1707.04075v1. (with Y. Jiang and J. L. Wang)
Research Fellow
PhD
Yu Jiang (graduated, 5 May 2021)
Jialin Wang (graduated, 31 March 2024)
Kua Hao Yan Manzu (current)
Chen Siyuan (current)
2025
MH2220 Algebra I
MH3220 Algebra II
MH4930 Special Topics in Mathematics (on Homological Algebra)
2024
MH3220 Algebra II
CY1602 & RE1012 Mathematics II
2023
ELE07102 Foundation Mathematics
MH2220 Algebra I
MH3200 Abstract Algebra I
Email: limkj at ntu dot edu dot sg
Address: Division of Mathematical Sciences, Nanyang Technological University, SPMS-MAS-05-16, 21 Nanyang Link, Singapore 637371.