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Faculty of Mathematics

 

Professor of Foundations of Mathematics

Research Interests: Category theory, in particular topos theory and connections with logic

Publications

Adjoint Lifting Theorems for Categories of Algebras
PT Johnstone
– The Bulletin of the London Mathematical Society
(2016)
7,
294
Finitary sketches
J Adamek, PT Johnstone, JA Makowsky, J Rosicky
– Journal of Symbolic Logic
(2014)
62,
699
What do Freyd's toposes classify?
P Johnstone
– Logica Universalis
(2013)
7,
335
THE GLEASON COVER OF A REALIZABILITY TOPOS
P Johnstone
– THEORY AND APPLICATIONS OF CATEGORIES
(2013)
28,
1139
GEOMETRIC MORPHISMS OF REALIZABILITY TOPOSES
P Johnstone
– THEORY AND APPLICATIONS OF CATEGORIES
(2013)
28,
241
Calibrated Toposes
P Johnstone
– Bulletin of the Belgian Mathematical Society - Simon Stevin
(2012)
19,
889
Remarks on punctual local connectedness
P Johnstone
– Theory and Applications of Categories
(2011)
25,
No. 3
Gregory Maxwell Kelly
M Hyland, G Janelidze, M Johnson, P Johnstone, S Lack, R Street, W Tholen, R Wood
– Applied Categorical Structures. A Journal Devoted to Applications of Categorical Methods in Algebra, Analysis, Order, Topology and Computer Science
(2010)
19,
1
Realizability: an introduction to its categorical side [book review of MR2479466]
PT Johnstone
– Bulletin of Symbolic Logic
(2010)
16,
407
De Morgan's law and the theory of fields
O Caramello, P Johnstone
– Advances in Mathematics
(2009)
222,
2145
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Research Group

Category Theory

Room

C1.07

Telephone

01223 337985