André Joyal

E780163

André Joyal is a Canadian mathematician renowned for his influential work in category theory, including the development of Joyal's theory of species and contributions to higher-dimensional category theory and topos theory.

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André Joyal canonical 2

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Predicate Object
instanceOf human
mathematician
academicDiscipline pure mathematics
countryOfCitizenship Canada
fieldOfWork category theory
combinatorics
higher-dimensional category theory
mathematics
topos theory
hasAcademicEmployer Université du Québec à Montréal
hasCollaborationWith F. William Lawvere
Ieke Moerdijk
Joachim Kock
Myles Tierney
Ross Street
Tom Leinster
hasNotableConcept Joyal model structure on simplicial sets
Joyal–Tierney theory in topos theory
analytic functor (in the sense of species)
quasi-category (Joyal model)
species of structures
hasResearchInterest combinatorial species
foundations of higher categories
homotopy theory in a categorical setting
structural combinatorics
toposes and logic
influenced applications of category theory to combinatorics
development of higher category theory
research in combinatorial species
isKnownFor bridging combinatorics and category theory
foundational work on higher categories via simplicial sets
rigorous categorical treatment of combinatorial structures
languageOfWorkOrName English
French
notableFor Joyal's theory of species
contributions to higher category theory
contributions to topos theory
work in categorical combinatorics
work on categorical foundations of mathematics
work on monoidal categories
work on operads
work on quasi-categories
workLocation Montreal

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Referenced by (2)

Full triples — surface form annotated when it differs from this entity's canonical label.

Ieke Moerdijk doctoralAdvisor André Joyal
Bolyai Prize hasRecipient André Joyal