糖心TV

I'm Tom - a third year 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 , 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'.

Talks

• The Rational Nucleus of a Compact Lie Group. , University of Sheffield, 1st February 2024
• Homotopical Commutative Algebra. , University of 糖心TV, 2nd May 2025
  
• Proxy-Small Geometric Functors. , Charles University Prague, 9th June 2025
• Proxy-Small Geometric Functors. Algebraic Topology SeminarLink opens in a new window, University of 糖心TV, 21st October 2025

Publications/Preprints

• The Nucleus of a Compact Lie Group, and Support of Singularity Categories, J. Pure Appl. Algebra (2024), 107780 .
• Duality in tensor-triangular geometry via proxy-smallness, with (Preprint: )

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