William Thurston
E121348
William Thurston was a pioneering American mathematician renowned for his revolutionary contributions to low-dimensional topology and geometry, including the geometrization conjecture for 3-manifolds.
All labels observed (2)
| Label | Occurrences |
|---|---|
| William Thurston canonical | 8 |
| William Paul Thurston | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T1056860 — 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: William Thurston Context triple: [Princeton University Department of Mathematics, hasNotableFaculty, William Thurston]
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A.
John Milnor
John Milnor is an American mathematician renowned for his groundbreaking work in differential topology, K-theory, and dynamical systems, and is one of the most influential figures in modern mathematics.
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B.
Stephen Smale
Stephen Smale is an American mathematician renowned for his work in topology, dynamical systems, and mathematical economics, and as a recipient of the Fields Medal.
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C.
Michael Atiyah
Michael Atiyah was a renowned British-Lebanese mathematician celebrated for his fundamental contributions to topology and geometry, including the development of K-theory and the Atiyah–Singer Index Theorem.
-
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.
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E.
Hassler Whitney
Hassler Whitney was an influential American mathematician known for foundational contributions to differential topology and geometry, including work on manifolds, embeddings, and singularities.
- 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: William Thurston Target entity description: William Thurston was a pioneering American mathematician renowned for his revolutionary contributions to low-dimensional topology and geometry, including the geometrization conjecture for 3-manifolds.
-
A.
John Milnor
John Milnor is an American mathematician renowned for his groundbreaking work in differential topology, K-theory, and dynamical systems, and is one of the most influential figures in modern mathematics.
-
B.
Stephen Smale
Stephen Smale is an American mathematician renowned for his work in topology, dynamical systems, and mathematical economics, and as a recipient of the Fields Medal.
-
C.
Michael Atiyah
Michael Atiyah was a renowned British-Lebanese mathematician celebrated for his fundamental contributions to topology and geometry, including the development of K-theory and the Atiyah–Singer Index Theorem.
-
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.
Hassler Whitney
Hassler Whitney was an influential American mathematician known for foundational contributions to differential topology and geometry, including work on manifolds, embeddings, and singularities.
- F. None of above. chosen
Statements (54)
| Predicate | Object |
|---|---|
| instanceOf |
geometer
ⓘ
human ⓘ mathematician ⓘ topologist ⓘ |
| academicDegree |
Bachelor’s degree
ⓘ
PhD in mathematics ⓘ |
| awardReceived |
American Academy of Arts and Sciences fellowship
ⓘ
Fields Medal ⓘ Leroy P. Steele Prize ⓘ
surface form:
Leroy P. Steele Prize for Mathematical Exposition
Leroy P. Steele Prize ⓘ
surface form:
Leroy P. Steele Prize for Seminal Contribution to Research
MacArthur Fellowship ⓘ National Academy of Sciences ⓘ
surface form:
National Academy of Sciences membership
Veblen Prize in Geometry ⓘ
surface form:
Oswald Veblen Prize in Geometry
Wolf Prize in Mathematics ⓘ |
| birthDate | 1946-10-30 ⓘ |
| birthPlace |
Washington, D.C.
ⓘ
surface form:
Washington, D.C., United States
|
| countryOfCitizenship | United States of America ⓘ |
| deathDate | 2012-08-21 ⓘ |
| deathPlace |
Rochester
ⓘ
surface form:
Rochester, New York, United States
|
| doctoralAdvisor | Morris Hirsch ⓘ |
| doctoralThesisTitle | Foliations of Three-Manifolds Which Are Circle Bundles ⓘ |
| doctoralThesisYear | 1972 ⓘ |
| educatedAt |
New College of Florida
ⓘ
University of California, Berkeley ⓘ |
| employer |
Cornell University
ⓘ
Princeton University ⓘ University of California, Davis ⓘ |
| familyName | Thurston ⓘ |
| fieldOfWork |
Teichmüller theory
ⓘ
foliation theory ⓘ geometry ⓘ hyperbolic geometry ⓘ low-dimensional topology ⓘ mathematics ⓘ |
| FieldsMedalYear | 1982 ⓘ |
| fullName |
William Thurston
self-linksurface differs
ⓘ
surface form:
William Paul Thurston
|
| givenName | William ⓘ |
| influenced |
Grigori Perelman
ⓘ
low-dimensional topology ⓘ |
| knownFor |
geometrization conjecture
ⓘ
surface form:
Thurston geometries
Thurston norm ⓘ Thurston’s classification of surface diffeomorphisms ⓘ geometrization conjecture ⓘ
surface form:
Thurston’s hyperbolization theorem
geometrization conjecture for 3-manifolds ⓘ influential expository writing in mathematics ⓘ work on foliations of 3-manifolds ⓘ |
| language | English ⓘ |
| notableWork |
Thurston’s classification of surface diffeomorphisms
ⓘ
surface form:
On the geometry and dynamics of diffeomorphisms of surfaces
Three-dimensional geometry and topology ⓘ |
| positionHeld |
director of the Mathematical Sciences Research Institute
ⓘ
professor of mathematics ⓘ |
| workLocation |
Berkeley
ⓘ
surface form:
Berkeley, California, United States
Ithaca, New York, United States ⓘ Princeton, New Jersey, United States ⓘ |
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: William Thurston Description of subject: William Thurston was a pioneering American mathematician renowned for his revolutionary contributions to low-dimensional topology and geometry, including the geometrization conjecture for 3-manifolds.
Referenced by (9)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
William Paul Thurston