William Lawvere

William Lawvere
Lawvere in Florence, 2003
Born
Francis William Lawvere

(1937-02-09)February 9, 1937
DiedJanuary 23, 2023(2023-01-23) (aged 85)
Alma materColumbia University
Known for
Awards"Premio Giulio Preti", awarded by the Regional Council of Tuscany (2010)
Scientific career
FieldsMathematics
InstitutionsReed College, ETH Zurich, University of Chicago, CUNY Graduate Center, Dalhousie University, University of Perugia, SUNY-Buffalo
Doctoral advisorSamuel Eilenberg

Francis William Lawvere (/lɔːˈvɪər/; February 9, 1937 – January 23, 2023) was an American mathematician and philosopher known for his foundational work in category theory, topos theory, and the philosophy of mathematics. He introduced algebraic theories as categories, developed the Elementary Theory of the Category of Sets (ETCS) as an alternative foundation of mathematics, founded categorical logic and co-founded the field of topos theory. A central theme of his work was the search for a rigorous mathematical foundation for classical continuum mechanics and physics based on categorical methods.