Projects per year
Personal profile
Key Research Interests
My work is at the intersection of Model Theory and Representation Theory. I am interested in decidability, particularly working out how it corresponds to algebraic or otherwise structural measures of complexity.
Both in connection to decidability and otherwise, I study Ziegler spectra. The Ziegler Spectrum of a ring is a (typically non-Hausdorff) topological space. It captures most of the model theoretic information about the category of modules over the ring.
For a list of both my published papers and my preprints, see my personal website.
Collaborations and top research areas from the last five years
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Model Theory in the UK (MoTUK)
Isaac Newton Institute for Mathematical Sciences
1/01/25 → 31/12/26
Project: Research
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Model Theory of Differential Fields - winter meeting
London Mathematical Society (The)
1/12/24 → 31/07/25
Project: Research
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Decidability in Logic and Algebra
London Mathematical Society (The)
1/03/24 → 31/03/24
Project: Research
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Support for 'SEEMOD: South East and Eastern MODel Theory Network'.
London Mathematical Society (The)
1/12/23 → 31/07/24
Project: Research
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Interpretation functors which are full on pure-injective modules with applications to R-torsion-free modules over R-orders
Gregory, L., 5 Dec 2025, (Accepted/In press) In: Representation Theory.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
Notes on model theory of modules over Dedekind domains
Gregory, L., Herzog, I. & Toffalori, C., Mar 2024, In: Bollettino dell’Unione Matematica Italiana. 17, p. 11–39 29 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile20 Downloads (Pure) -
Decidability for the theory of modules over a Prüfer domain
Gregory, L., Oct 2023, In: International Mathematics Research Notices. 2023, 19, p. 16574–16673 100 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile24 Downloads (Pure) -
Maranda’s theorem for pure-injective modules and duality
Gregory, L., Apr 2023, In: Canadian Journal Of Mathematics-Journal Canadien De Mathematiques. 75, 2, p. 581-607 27 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile20 Downloads (Pure) -
Decidability of theories of modules over tubular algebras
Gregory, L., Nov 2021, In: Proceedings of the London Mathematical Society. 123, 5, p. 460-497 38 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile39 Downloads (Pure)