Daniel Quillen

E886928

Daniel Quillen was an American mathematician renowned for revolutionizing algebraic K-theory and for his influential contributions to homotopy theory, earning him the Fields Medal in 1978.

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Predicate Object
instanceOf American mathematician
human
mathematician
academicAdvisor Raoul Bott NERFINISHED
awardReceived American Mathematical Society Steele Prize for Lifetime Achievement NERFINISHED
Cole Prize in Algebra NERFINISHED
Cole Prize in Number Theory NERFINISHED
Fields Medal NERFINISHED
causeOfDeath complications of Alzheimer’s disease
countryOfCitizenship United States of America
dateOfBirth 1940-06-22
dateOfDeath 2011-04-30
doctoralDegreeYear 1964
doctoralThesisTitle Formal Properties of Over-Determined Systems of Linear Partial Differential Equations NERFINISHED
educatedAt Harvard University
Tulane University NERFINISHED
employer Massachusetts Institute of Technology
University of Oxford
École Normale Supérieure NERFINISHED
familyName Quillen NERFINISHED
fieldOfWork algebraic K-theory
algebraic topology
category theory
homological algebra
homotopy theory
givenName Daniel NERFINISHED
influenced algebraic geometry
algebraic topology
number theory
languageOfWorkOrName English
memberOf American Academy of Arts and Sciences
National Academy of Sciences
Royal Society
notableFor applications of homotopical methods to algebra and geometry
foundational work in higher algebraic K-theory
introduction of model categories in homotopy theory
notableWork Quillen K-theory NERFINISHED
Quillen model category NERFINISHED
Quillen–Lichtenbaum conjecture NERFINISHED
Quillen’s plus construction NERFINISHED
rational homotopy theory (Quillen approach)
placeOfBirth Orange, New Jersey, United States of America NERFINISHED
placeOfDeath Florence, Italy NERFINISHED
positionHeld Waynflete Professor of Pure Mathematics NERFINISHED
sexOrGender male
workLocation Cambridge, Massachusetts
Oxford, England NERFINISHED

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K-theory developedBy Daniel Quillen