Research

Research interests


  • 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

Publications


  • 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.

Thesis


My PhD thesis will be made available soon at Queen Mary Research Online.

Academic Society Memberships


  • 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).

Contact: diego (dot) millanb (at) ucjc (dot) edu