Papers

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

• "PDF" - available locally from this webpage.
• "arXiv" - available from the preprint repository arXiv (or similar).
• "DOI" - official published version available from the publishers website.

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

• Representation growth of Fuchsian groups and modular forms,
  (with M. Larsen, and P. H. Tiep), 2024, 25 pages.

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  PDF arXiv

Published Papers

17. Galois automorphisms and a unique Jordan decomposition in the case of connected centralizer,
    J. Algebra 664 (2025), Part B, 123–149.
    (with A. A. Schaeffer Fry, and C. Ryan Vinroot).

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    PDF arXiv DOI
16. Galois Automorphisms and Classical Groups,
    Transform. Groups 28 (2023), 439–486.
    (with A. A. Schaeffer Fry).

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    PDF arXiv DOI
15. 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).

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    PDF arXiv DOI
14. Harish-Chandra Cuspidal Pairs,
    Indag. Math. (N.S.) 33 (2022), no. 1, 24–38.
    

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    PDF arXiv DOI
13. Lusztig Induction, Unipotent Supports, and Character Bounds,
    Trans. Amer. Math. Soc. 373 (2020), no. 12, 8637–8676.
    (with P. H. Tiep).

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    PDF arXiv DOI
12. Unitriangular Shape of Decomposition Matrices of Unipotent Blocks,
    Ann. of Math. (2) 192 (2020), no. 2, 583–663.
    (with O. Brunat, and O. Dudas).

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    PDF arXiv DOI
11. The Structure of Root Data and Smooth Regular Embeddings of Reductive Groups,
    Proc. Edinb. Math. Soc. (2) 62 (2019), no. 2, 523–552.
    

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    PDF arXiv DOI
10. Principal 2-Blocks and Sylow 2-Subgroups,
    Bull. Lond. Math. Soc. 50 (2018), 733–744.
    (with A. A. Schaeffer Fry).

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    PDF arXiv DOI
9. Action of Automorphisms on Irreducible Characters of Symplectic Groups,
   J. Algebra 505 (2018), 211–246.
   

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

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   PDF arXiv DOI
7. On Self-Normalising Sylow 2-Subgroups in Type A,
   J. Lie Theory 28 (2018), no. 1, 139–168.
   (with A. A. Schaeffer Fry).

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   PDF arXiv DOI
6. A note on skew characters of symmetric groups,
   Israel J. Math. 221 (2017), no. 1, 435–443.
   

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

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

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

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

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

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   PDF arXiv DOI

Other Publications

• Decomposition Matrices of Unipotent Blocks,
  Oberwolfach Rep. 16 (2019), no. 1, 841–895.
  

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  PDF DOI
• Symmetry and Characters of Finite Groups,
  Snapshots of Modern Mathematics from Oberwolfach (2016), no. 5.
  (with E. Giannelli).

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  PDF DOI
• Generalised Gelfand–Graev Characters in Small Characteristics,
  Oberwolfach Rep. 12 (2015), no. 2, 982–984.
  

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  PDF DOI

Theses

• Phd Thesis
  Title: On Unipotent Supports of Reductive Groups With a Disconnected Centre
  Defended: 30th April 2012
  Supervisor: Prof. Meinolf Geck

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  arXiv
• MMath Project
  Title: Through the Fields and Far Away
  Supervisor: Prof. Stephen Donkin.

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  PDF