Richard Schoen
E148223
Richard Schoen is an American mathematician renowned for his influential work in differential geometry and geometric analysis.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Richard Schoen canonical | 2 |
| Sun-Yung Alice Chang | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T1244819 — 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: Richard Schoen Context triple: [Bôcher Memorial Prize, notableRecipient, Richard Schoen]
-
A.
William Thurston
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.
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B.
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.
-
C.
Dennis Sullivan
Dennis Sullivan is an influential American mathematician renowned for his groundbreaking work in topology, dynamical systems, and geometry.
-
D.
Ken Rudin
Ken Rudin is a technology executive and entrepreneur best known for his leadership role in founding the enterprise software company Siebel Systems.
-
E.
Charles Fefferman
Charles Fefferman is an American mathematician renowned for his groundbreaking work in harmonic analysis, partial differential equations, and several complex variables, and is a Fields Medalist and long-time professor at Princeton University.
- 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: Richard Schoen Target entity description: Richard Schoen is an American mathematician renowned for his influential work in differential geometry and geometric analysis.
-
A.
William Thurston
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.
-
B.
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.
-
C.
Dennis Sullivan
Dennis Sullivan is an influential American mathematician renowned for his groundbreaking work in topology, dynamical systems, and geometry.
-
D.
Ken Rudin
Ken Rudin is a technology executive and entrepreneur best known for his leadership role in founding the enterprise software company Siebel Systems.
-
E.
Charles Fefferman
Charles Fefferman is an American mathematician renowned for his groundbreaking work in harmonic analysis, partial differential equations, and several complex variables, and is a Fields Medalist and long-time professor at Princeton University.
- F. None of above. chosen
Statements (30)
| Predicate | Object |
|---|---|
| instanceOf |
American mathematician
ⓘ
human ⓘ mathematician ⓘ |
| awardReceived |
Bôcher Memorial Prize
ⓘ
Heinz Hopf Prize ⓘ Leroy P. Steele Prize ⓘ Wolf Prize in Mathematics ⓘ |
| citizenship | United States of America ⓘ |
| doctoralAdvisor | Shing-Tung Yau ⓘ |
| educatedAt |
University of California, Berkeley
ⓘ
University of Wisconsin–Madison ⓘ |
| employer |
Stanford University
ⓘ
University of California, Irvine ⓘ |
| familyName | Schoen ⓘ |
| fieldOfWork |
differential geometry
ⓘ
geometric analysis ⓘ partial differential equations ⓘ |
| gender | male ⓘ |
| givenName | Richard ⓘ |
| knownFor |
applications of partial differential equations to geometry
ⓘ
work in differential geometry ⓘ work in geometric analysis ⓘ |
| languageSpoken | English ⓘ |
| memberOf |
American Academy of Arts and Sciences
ⓘ
National Academy of Sciences ⓘ |
| name | Richard Schoen ⓘ |
| notableWork |
Yamabe problem
ⓘ
minimal surface theory ⓘ positive mass theorem ⓘ |
| positionHeld | professor of mathematics ⓘ |
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: Richard Schoen Description of subject: Richard Schoen is an American mathematician renowned for his influential work in differential geometry and geometric analysis.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Richard Schoen