Representation theories of the symmetric group, Iwahori-Hecke, Schur algebras and their applications (Mathematics Subject Classification 2020: 20C30, 20C35).
Algebraic combinatorics, mostly of integer partitions (05E10).
Computer algebra aspects related with representation theory (20-08).
(for roughly up to date specific problems I am interested in exploring further please check here)
"Wherever groups disclosed themselves or could be introduced, simplicity crystallized out of comparative chaos" - E. T. Bell
D. Millan Berdasco, Generalised regularisation maps on partitions. Submitted, 2021 arXiv.
In preparation:
D. Millan Berdasco, Maximum composition length of weight three blocks of Iwahori–Hecke algebras.
D. Millan Berdasco, A new family of decomposition numbers of the symmetric group.
D. Millan Berdasco, Maximum composition length of weight four blocks of Iwahori–Hecke algebras.
Associate Fellow of the Higher Education Academy (02/2020- ).
Real Sociedad Matemática Española-Spanish Royal Mathematical Society (2020- ).
London Mathematical Society (2022- ).
Past memberships:
Association for Women in Mathematics (2016-2018).
Society of Spanish Researchers in the United Kingdom (SRUK/CERU) (2017-2019).