Eoghan McDowell

Papers

1. Degrees and prime power order zeros of characters of symmetric and alternating groups

   With Eugenio Giannelli and Stacey Law.
   arXiv:2504.02686.

2. Spin characters of the symmetric group which are proportional to linear characters in characteristic 2

   With Matthew Fayers.
   Annals of Representation Theory 2(1) (2025), pp. 37–83. doi:10.5802/art.21.
   arXiv:2403.08243.

3. Characters and spin characters of alternating and symmetric groups determined by values on l'-classes

   Arkiv för Matematik 62(1) (June 2024), pp. 127–146. doi:10.4310/ARKIV.2024.v62.n1.a7
   arXiv:2205.06505.

4. Large p-core p'-partitions and walks on the additive residue graph

   Annals of Combinatorics 27 (December 2023), pp. 857–871. doi:10.1007/s00026-022-00622-2.
   arXiv:2207.01824. Journal version freely available at rdcu.be/c0sGO.
   Python code for finding largest p-core p'-partitions.

5. Flagged Schur polynomial duality via a lattice path bijection

   Electronic Journal of Combinatorics 30(1) (January 2023), P1.5. doi:10.37236/11200.
   arXiv:2003.04957.

6. Modular plethystic isomorphisms for two-dimensional linear groups

   With Mark Wildon.
   Journal of Algebra 602 (July 2022), pp. 441–483. doi:10.1016/j.jalgebra.2022.02.025.
   arXiv:2105.00538.

7. A random walk on the indecomposable summands of tensor products of modular representations of SL₂(𝔽_p)

   Algebras and Representation Theory 25 (April 2022), pp. 539–559. doi:10.1007/s10468-021-10034-0.
   arXiv:1904.13263.

8. The image of the Specht module under the inverse Schur functor in arbitrary characteristic

   Journal of Algebra 586 (November 2021), pp. 865–898. doi:10.1016/j.jalgebra.2021.07.013.
   arXiv:2101.05770.

PhD Thesis

Representations of the general linear group with multilinear constructions