Lorna Gregory

• Address: School of Mathematics, University of East Anglia, Norwich Research Park, Norwich, NR47TJ, UK.
• E-mail: lorna dot gregory at gmail dot com

Research interests

Model theory of modules, Ziegler spectra, injective modules, (representations of) finite dimensional algebras, ordered fields.

Publications

• Decidability for the theory of modules over a Prüfer domain; International Mathematics Research Notices, to appear, 100p.
• Maranda’s theorem for Pure-Injective modules and duality; Canadian Journal of Mathematics, to appear, 25p.
• Decidability of theories of modules over tubular algebras; Proceedings of the London Mathematical Society, Volume 123, Issue 5, November 2021, pp. 460-497
• (with Sonia L’Innocente & Carlo Toffalori) The torsionfree part of the Ziegler spectrum of orders over Dedekind domains; Mathematical Logic Quarterly, Volume 66, Issue 1, March 2020, pp. 20-36
• (with Sonia L’Innocente & Carlo Toffalori) Decidability of the theory of modules over Prüfer domains with dense value groups; Annals of Pure and Applied Logic, Volume 170, Issue 12, December 2019, 23p.
• Left determined morphisms and free realisations; Model Theory of Modules, Algebras and Categories, Contemporary Mathematics, May 2019, pp. 47-56
• (with Gena Puninski) Ziegler spectra of Serial rings; Israel J. Math., 229 (2019), 415-459.
• (with Sonia L’Innocente, Gena Puninski & Carlo Toffalori) Decidability of the theory of modules over Prüfer domains with infinite residue fields; J. Symbolic Logic, 83(4) (2018), 1391-1412.
• (with Mike Prest) Representation embeddings, interpretation functors and controlled wild algebras; J. London Math. Soc., 94(3) (2016), 747-766
• Decidability for theories of modules over valuation domains ; J. Symbolic Logic, 80(2) (2015), 684-711.
• Sobriety for the Ziegler spectrum of a Prüfer domain ; J. Pure Applied Algebra, 217(10) (2013), 1980-1993.
• Ziegler Spectra of Valuation Rings; PhD thesis, University of Manchester, 2011

Preprints

• Dimensions on Lattice Ordered Abelian Groups and Model Theory of Modules over Prüfer Domains; arXiv:2202.08339
• Ziegler closures of some unstable tubes; arXiv:1701.03184

Decidability in Logic and Algebra

I am organising a one day meeting on March 26th on Decidability in Logic and Algebra at UEA.