Lorna Gregory's homepage

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

SEEMOD

Along with others, I am one of the organisers of SEEMOD.