Summary


I'm a mathematician specialised in Category Theory, particularly Categorical Logic and its connections to Set Theory and nonstandard proof methods (in the sense of nonstandard analysis and internal set theory). My main research interests lie in topos theory, tripos theory, constructive mathematics, category theory, and the foundations of mathematics at large. More recently, I've been concerned with the connections between Logic and Geometry, and categorical models of Linear Logic.

I completed my PhD in 2022 in the Department of Pure Mathematics and Mathematical Statistics, University of Cambridge. My supervisor was Professor Peter T. Johnstone.

From October 2022, I've been an Acting College Lecturer and Director of Studies in Mathematics for Gonville & Caius College, Cambridge.  I am also Director of Studies for St. Edmund's College and Lucy Cavendish College (Part III of the Mathematical Tripos).

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Psst, while you are here, you should check out the great work being done @Women in Logic!
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Publications


Nonstandard proof methods in toposes


José Siqueira

Annals of Pure and Applied Logic, vol. 175(5), 2024


Artin glueings of toposes as adjoint split extensions


Peter F. Faul, Graham Manuell, José Siqueira

Journal of Pure and Applied Algebra, vol. 227(5), 2023


Tripos models of Internal Set Theory


J. V. Paiva Miranda de Siqueira

University of Cambridge, https://www.repository.cam.ac.uk/handle/1810/331351, 2022 Jan 29


2-dimensional bifunctor theorems and distributive laws


Peter F. Faul, Graham Manuell, José Siqueira

Theory and Applications of Categories, vol. 37(34), 2021, pp. 1149-1175

Courses



Postgraduate courses


III Logic and Computability

University of Cambridge

Lectured in Michaelmas 2022 and Lent 2022 for Part III of the Mathematical Tripos.


III Model Theory & Non-Classical Logic

University of Cambridge

Lectured in Michaelmas 2023 for Part III of the Mathematical Tripos.



Summer courses


Introdução à Lógica Categórica

Universidade de São Paulo

Lectured in March 2022 to final year undergraduates and postgraduate students.


Introdução à Teoria das Categorias

Universidade de Brasília

Lectured in 2017 to final year undergraduate and postgraduate students.


Contact


José Siqueira




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