Thomas Peirce

I'm Tom - a PhD student studying homotopy theory, with a particular interest in homotopical commutative algebra. My supervisor is Prof. John GreenleesLink opens in a new window.

I am interested in duality theories in homotopical algebra, and in particular have recently been thinking about extending the Gorenstein property, as in DGILink opens in a new window, to a more general tensor-triangular setting, in particular giving a foundation for what it means for a map of ring G-spectra to be 'equivariantly Gorenstein'.

As of 2nd October 2026 I have submitted my thesis, Homotopical commutative algebra in tensor-triangulated categories, for examination!

Talks

• The rational nucleus of a compact Lie group. TTT118Link opens in a new window, University of Sheffield, 1st February 2024
• Homotopical commutative algebra. Warwick-Glasgow ConferenceLink opens in a new window, University of Warwick, 2nd May 2025
  
• Proxy-small geometric functors. Algebra SeminarLink opens in a new window, Charles University Prague, 9th June 2025
• Proxy-small geometric functors. Algebraic Topology SeminarLink opens in a new window, University of Warwick, 21st October 2025
• Proxy-smallness and duality for geometric functors. Follow-up workshop to `Spectral Methods...'Link opens in a new window, Hausdorff Institute of Mathematics, 28th August 2026.
• [tbc], London Algebra Colloquium,Link opens in a new window 19th November 2026
• [tbc], Koszul duality, Equivariance, and Algebraic ModelsLink opens in a new window, 14th-16th December 2026

Publications/Preprints

• The Nucleus of a compact Lie group, and support of singularity categories, J. Pure Appl. Algebra (2024), 107780 doi.
• Duality in tensor-triangular geometry via proxy-smallness, with Jordan WilliamsonLink opens in a new window (Preprint: arXiv:2510.24415). Currently under revision.

Education

I studied for my BA and MMath at the University of Cambridge (2017-2021), with a Part III "essay" on commutative algebra and invariant theory entitled Polynomial Invariants of Finite Groups.

Contact

Feel free to e-mail me at Thomas.Peirce@warwick.ac.uk.

ORCiD: https://orcid.org/0009-0004-9185-1368Link opens in a new window