Prof. Hilary Priestley
Status
Emeritus
Research groups
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Major / recent publications
(with L.M. Cabrer) Piggybacking over unbounded distributive lattices, pp.421-425, MVLSC volume 44 (special issue in memory of Ivo G.Rosenberg Part 3), (2025)
(with L.M. Cabrer) Sugihara algebras and monoids: free algebras (2022 manuscript, awaiting completion 2025)
Book review of Heyting Algebras: duality theory by Leo Esakia, translated by Anton Evseev, Studia Logica109, (2021), 1171-1173
(with L.M. Cabrer) Sugihara algebras and monoids: multisorted dualities (Math. Slovaca 70 (2020), 5-28
(with L.M. Cabrer and G.Metcalfe) Sugihara algebras: admissibility algebras via the test space=s method (J. Pure Appl. Algebra 224 no.5 (May 2020)
(with L.M. Cabrer, B. Freisberg and G. Metcalfe) Checking admissibility using natural dualities (ACM Trans. Comput. Logic 20 (2019) , no.1, Art.2
(with B.A. Davey and M. Haviar) Piggyback dualities revisited (Algebra Universalis 76 (2016), 245-285. doi:10.1007/s00012-016-0395-y))
(with L.M. Cabrer) Gödel algebras: interactive dualities and their applications (Algebra Universalis) 74 (2015), 87-116)
(with L.M. Cabrer and A.P.K. Craig) Product representation for default bilattices: an application of natural duality theory (J. Pure Appl. Algebra 219 (2015), 2962-2988)
(with M.J. Gouveia) Canonical extensions and profinite completions of semilattices and lattices, Order 31 (2014), 189–216
(with M.J. Gouveia) Profinite completions and canonical extension of semilattice reducts of distributive lattices, Houston J. Math. 39 (2013), 1117–1136
(with B.A. Davey and M. Haviar) Bohr Compactifications of algebras and structures, Appl. Categ. Structures 25 (2017), 403–430
(with L.M. Cabrer) Sugihara algebras and monoids: free algebras (2022 manuscript, awaiting completion 2025)
Book review of Heyting Algebras: duality theory by Leo Esakia, translated by Anton Evseev, Studia Logica109, (2021), 1171-1173
(with L.M. Cabrer) Sugihara algebras and monoids: multisorted dualities (Math. Slovaca 70 (2020), 5-28
(with L.M. Cabrer and G.Metcalfe) Sugihara algebras: admissibility algebras via the test space=s method (J. Pure Appl. Algebra 224 no.5 (May 2020)
(with L.M. Cabrer, B. Freisberg and G. Metcalfe) Checking admissibility using natural dualities (ACM Trans. Comput. Logic 20 (2019) , no.1, Art.2
(with B.A. Davey and M. Haviar) Piggyback dualities revisited (Algebra Universalis 76 (2016), 245-285. doi:10.1007/s00012-016-0395-y))
(with L.M. Cabrer) Gödel algebras: interactive dualities and their applications (Algebra Universalis) 74 (2015), 87-116)
(with L.M. Cabrer and A.P.K. Craig) Product representation for default bilattices: an application of natural duality theory (J. Pure Appl. Algebra 219 (2015), 2962-2988)
(with M.J. Gouveia) Canonical extensions and profinite completions of semilattices and lattices, Order 31 (2014), 189–216
(with M.J. Gouveia) Profinite completions and canonical extension of semilattice reducts of distributive lattices, Houston J. Math. 39 (2013), 1117–1136
(with B.A. Davey and M. Haviar) Bohr Compactifications of algebras and structures, Appl. Categ. Structures 25 (2017), 403–430
Research interests
Ordered algebraic structures and duality theory.