John Revere McHugh

I am a Visiting Assistant Professor at the University of Denver in Denver, Colorado, working with Mandi Schaeffer Fry. Prior to moving to Denver, I earned a Ph.D. at the University of California - Santa Cruz under the supervision of Robert Boltje. I also earned a Master's degree at the University of Vermont, under the supervision of Richard Foote.

My research typically deals with representations of finite groups. I am very interested in equivalences between block algebras, fusion systems, biset functors, and (lately) the block theory of finite groups of Lie type.

Publications:

R. Boltje and J. R. McHugh, Fixed points of extended tensor products. Awaiting final decision at Journal of Algebra after positive report and minor revisions. arXiv link.
J. R. McHugh, Isotypic blocks of finite groups algebras that are not p-permutation equivalent. To appear in Proceedings of the American Mathematical Society, 2026. arXiv link.
J. R. McHugh, On the image of the trivial source ring in the ring of virtual characters of a finite group. Pacific Journal of Mathematics Vol. 315 (2021), No. 2, pages 449-476. DOI: 10.2140/pjm.2021.315.449

In Preparation:

J. R. McHugh, A. A. Schaeffer Fry, Real 2-blocks of simple finite groups of Lie type.
R. Boltje, J. R. McHugh, N. Monteiro, Links between character triples.
J. R. McHugh, Coherence conditions for the characters of trivial source modules and strong isotypies. Preprint, posted to arXiv October 16th, 2023. arXiv link.

Theses:

Strong Isotypies and Coherent Character Tuples. Ph.D. Thesis, University of California, Santa Cruz, 2024.
Monomial Characters of Finite Groups. M.S. Thesis, University of Vermont, 2016.

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