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.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Daniel Quillen canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T10829345 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Daniel Quillen Context triple: [K-theory, developedBy, Daniel Quillen]
-
A.
J. Peter May
J. Peter May is an American mathematician renowned for his influential work in algebraic topology, category theory, and homotopy theory.
-
B.
Norman Steenrod
Norman Steenrod was an influential American mathematician best known for his foundational work in algebraic topology, including the development of Steenrod squares and contributions to cohomology theory.
-
C.
Max Karoubi
Max Karoubi is a French mathematician known for his influential work in K-theory and its applications to topology and geometry.
-
D.
Isadore Singer
Isadore Singer was an American mathematician renowned for co-formulating the Atiyah–Singer Index Theorem, a foundational result linking analysis, topology, and geometry.
-
E.
Saunders Mac Lane
Saunders Mac Lane was an American mathematician best known as a co-founder of category theory and for his influential work in algebra and homological algebra.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Daniel Quillen Target entity description: 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.
-
A.
J. Peter May
J. Peter May is an American mathematician renowned for his influential work in algebraic topology, category theory, and homotopy theory.
-
B.
Norman Steenrod
Norman Steenrod was an influential American mathematician best known for his foundational work in algebraic topology, including the development of Steenrod squares and contributions to cohomology theory.
-
C.
Max Karoubi
Max Karoubi is a French mathematician known for his influential work in K-theory and its applications to topology and geometry.
-
D.
Isadore Singer
Isadore Singer was an American mathematician renowned for co-formulating the Atiyah–Singer Index Theorem, a foundational result linking analysis, topology, and geometry.
-
E.
Saunders Mac Lane
Saunders Mac Lane was an American mathematician best known as a co-founder of category theory and for his influential work in algebra and homological algebra.
- F. None of above. chosen
Statements (47)
| 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 ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Daniel Quillen Description of subject: 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.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.