WILLIAM LAWVERE

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'Francis William Lawvere' is a mathematician known for his work in category theory, topos theory and the philosophy of mathematics.
Lawvere completed his Ph.D. in mathematics at Columbia University in 1963, under the supervision of Samuel Eilenberg, a founder of category theory. He first taught at the University of Chicago, where he was a colleague of the other founder of category theory, Saunders Mac Lane. Lawvere then spent most of his career at University at Buffalo, where he is professor emeritus of mathematics and an adjunct professor emeritus of philosophy.
Lawvere first studied continuum mechanics with Clifford Truesdell, who concluded that he was "really more of a mathematician than [a] physicist" and sent him to Eilenberg. Lawvere would eventually return to continuum mechanics through the application of category theory ('Categorical Dynamics'), inspiring ongoing work in the field of synthetic differential geometry.
Lawvere and Myles Tierney developed the definition of an elementary topos, generalizing the concept of the Grothendieck topos, in 1969-70 (see background and genesis of topos theory).

Contents
Selected books
External links

Selected books



1997 ''Conceptual Mathematics: A First Introduction to Categories'' (with Stephen H. Schanuel). Cambridge Uni. Press. ISBN 0-521-47817-0

2003 (2002) ''Sets for Mathematics'' (with Robert Rosebrugh). Cambridge Uni. Press. ISBN 0-521-01060-8

External links



Homepage. Includes bibliography and downloadable papers, Ph.D. thesis.



Photograph

John Baez's This Week's Finds in Mathematical Physics (Week 200)

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