Eoghan McDowell

Papers

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

   With Eugenio Giannelli and Stacey Law.
   Bulletin of the London Mathematical Society, published online July 2025. doi:10.1112/blms.70160.
   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