Dr Jay Taylor
Neumann Fellow

Papers

Below is a list of all my published papers and preprints. Each article is followed by links to one of three possible versions:

The first two versions may differ (slightly) from the final version. In particular, they may contain additional corrections that do not appear in the final published version.

Preprints

Published Papers

  1. Galois Automorphisms and Classical Groups,
    Transform. Groups 28 (2023), 439–486.
    (with A. A. Schaeffer Fry).
    PDF arXiv DOI
  2. Character bounds for regular semisimple elements and asymptotic results on Thompson's conjecture,
    Math. Z. 303 (2023), no. 2, Paper No. 47.
    (with M. Larsen, and P. H. Tiep).
    PDF arXiv DOI
  3. Harish-Chandra Cuspidal Pairs,
    Indag. Math. (N.S.) 33 (2022), no. 1, 24–38.

    PDF arXiv DOI
  4. Lusztig Induction, Unipotent Supports, and Character Bounds,
    Trans. Amer. Math. Soc. 373 (2020), no. 12, 8637–8676.
    (with P. H. Tiep).
    PDF arXiv DOI
  5. Unitriangular Shape of Decomposition Matrices of Unipotent Blocks,
    Ann. of Math. (2) 192 (2020), no. 2, 583–663.
    (with O. Brunat, and O. Dudas).
    PDF arXiv DOI
  6. The Structure of Root Data and Smooth Regular Embeddings of Reductive Groups,
    Proc. Edinb. Math. Soc. (2) 62 (2019), no. 2, 523–552.

    PDF arXiv DOI
  7. Principal 2-Blocks and Sylow 2-Subgroups,
    Bull. Lond. Math. Soc. 50 (2018), 733–744.
    (with A. A. Schaeffer Fry).
    PDF arXiv DOI
  8. Action of Automorphisms on Irreducible Characters of Symplectic Groups,
    J. Algebra 505 (2018), 211–246.

    PDF arXiv DOI
  9. On the Mackey formula for connected centre groups,
    J. Group Theory 21 (2018), no. 3, 439–448.

    PDF arXiv DOI
  10. On Self-Normalising Sylow 2-Subgroups in Type A,
    J. Lie Theory 28 (2018), no. 1, 139–168.
    (with A. A. Schaeffer Fry).
    PDF arXiv DOI
  11. A note on skew characters of symmetric groups,
    Israel J. Math. 221 (2017), no. 1, 435–443.

    PDF arXiv DOI
  12. Generalized Gelfand–Graev representations in small characteristics,
    Nagoya Math. J. 224 (2016), no. 1, 93–167.

    PDF arXiv DOI
  13. Induced characters of type D Weyl groups and the Littlewood–Richardson rule,
    J. Pure Appl. Algebra 219 (2015), no. 8, 3445–3452.

    PDF arXiv DOI
  14. Evaluating characteristic functions of character sheaves at unipotent elements,
    Represent. Theory 18 (2014), 310–340.

    PDF arXiv DOI
  15. Finding characters satisfying a maximal condition for their unipotent support,
    J. Pure Appl. Algebra 218 (2014), no. 3, 474–496.

    PDF arXiv DOI
  16. On unipotent supports of reductive groups with a disconnected centre,
    J. Algebra 391 (2013), 41–61.

    PDF arXiv DOI

Other Publications

Theses