Barry Mazur
E437900
Barry Mazur is an American mathematician renowned for his influential work in number theory and arithmetic geometry, particularly in the development of the theory of modular forms and contributions to the proof of Fermat’s Last Theorem.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Barry Mazur canonical | 4 |
How this entity was disambiguated
This entity first appeared as the object of triple T4405417 — 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: Barry Mazur Context triple: [Levi L. Conant Prize, notableRecipient, Barry Mazur]
-
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.
Curtis T. McMullen
Curtis T. McMullen is an American mathematician renowned for his work in complex dynamics, hyperbolic geometry, and Teichmüller theory, and a recipient of the Fields Medal.
-
C.
Reuben Hersh
Reuben Hersh was an American mathematician and philosopher of mathematics known for his humanistic and sociocultural views on the nature of mathematical practice.
-
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.
Dennis Sullivan
Dennis Sullivan is an influential American mathematician renowned for his groundbreaking work in topology, dynamical systems, and geometry.
- 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: Barry Mazur Target entity description: Barry Mazur is an American mathematician renowned for his influential work in number theory and arithmetic geometry, particularly in the development of the theory of modular forms and contributions to the proof of Fermat’s Last Theorem.
-
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.
Curtis T. McMullen
Curtis T. McMullen is an American mathematician renowned for his work in complex dynamics, hyperbolic geometry, and Teichmüller theory, and a recipient of the Fields Medal.
-
C.
Reuben Hersh
Reuben Hersh was an American mathematician and philosopher of mathematics known for his humanistic and sociocultural views on the nature of mathematical practice.
-
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.
Dennis Sullivan
Dennis Sullivan is an influential American mathematician renowned for his groundbreaking work in topology, dynamical systems, and geometry.
- F. None of above. chosen
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
American mathematician
ⓘ
human ⓘ mathematician ⓘ |
| awardReceived |
Cole Prize in Number Theory
NERFINISHED
ⓘ
National Medal of Science ⓘ Steele Prize for Seminal Contribution to Research NERFINISHED ⓘ Veblen Prize in Geometry NERFINISHED ⓘ |
| countryOfCitizenship | United States of America ⓘ |
| dateOfBirth | 1937-12-19 ⓘ |
| doctoralAdvisor | Ralph Fox NERFINISHED ⓘ |
| doctoralThesis | On embeddings of spheres NERFINISHED ⓘ |
| doctoralThesisYear | 1959 ⓘ |
| educatedAt |
Massachusetts Institute of Technology
ⓘ
Princeton University ⓘ |
| employer | Harvard University ⓘ |
| familyName | Mazur NERFINISHED ⓘ |
| fieldOfWork |
algebraic geometry
ⓘ
arithmetic geometry ⓘ mathematics ⓘ number theory ⓘ topology ⓘ |
| gender | male ⓘ |
| givenName | Barry NERFINISHED ⓘ |
| hasAcademicRank | professor ⓘ |
| influenced |
Andrew Wiles
NERFINISHED
ⓘ
many researchers in arithmetic geometry ⓘ |
| knownFor |
Eisenstein ideal
NERFINISHED
ⓘ
Iwasawa theory contributions ⓘ Mazur's conjecture on rational isogenies of elliptic curves ⓘ Mazur's control theorem NERFINISHED ⓘ Mazur's deformation theory of Galois representations NERFINISHED ⓘ Mazur's torsion theorem NERFINISHED ⓘ conjectures on rational points of curves ⓘ contributions to the proof of Fermat's Last Theorem ⓘ contributions to the theory of modular forms ⓘ work in arithmetic geometry ⓘ work in number theory ⓘ |
| languageSpoken | English ⓘ |
| memberOf |
American Academy of Arts and Sciences
ⓘ
National Academy of Sciences ⓘ Royal Society ⓘ |
| name | Barry Mazur NERFINISHED ⓘ |
| notableStudent | Andrew Wiles NERFINISHED ⓘ |
| notableWork |
Imagining Numbers
NERFINISHED
ⓘ
Modular curves and the Eisenstein ideal NERFINISHED ⓘ Rational points of abelian varieties with values in towers of number fields ⓘ |
| placeOfBirth | New York City ⓘ |
| positionHeld | Gerhard Gade University Professor at Harvard University NERFINISHED ⓘ |
| workplace | Harvard University 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: Barry Mazur Description of subject: Barry Mazur is an American mathematician renowned for his influential work in number theory and arithmetic geometry, particularly in the development of the theory of modular forms and contributions to the proof of Fermat’s Last Theorem.
Referenced by (4)
Full triples — surface form annotated when it differs from this entity's canonical label.