Armand Borel
E677614
Armand Borel was a Swiss mathematician renowned for his foundational work in algebraic groups, Lie groups, and arithmetic groups, and for his influential role in 20th-century modern mathematics.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Armand Borel canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T7553241 — 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: Armand Borel Context triple: [Bourbaki school of mathematics, hasMember, Armand Borel]
-
A.
Claude Chevalley
Claude Chevalley was a French mathematician renowned for his foundational contributions to algebraic geometry, number theory, and the theory of Lie groups and algebraic groups.
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B.
Frédéric Borel
Frédéric Borel is a prominent French architect known for his expressive, deconstructivist-inspired buildings and influential contributions to contemporary urban architecture.
-
C.
François Bruhat
François Bruhat was a French mathematician known for his work in harmonic analysis and representation theory, particularly on p-adic groups.
-
D.
Jean-Pierre Serre
Jean-Pierre Serre is a French mathematician renowned for his foundational contributions to algebraic topology, algebraic geometry, and number theory, and is considered one of the most influential mathematicians of the 20th century.
-
E.
Jean Leray
Jean Leray was a French mathematician renowned for his foundational work in algebraic topology and partial differential equations.
- 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: Armand Borel Target entity description: Armand Borel was a Swiss mathematician renowned for his foundational work in algebraic groups, Lie groups, and arithmetic groups, and for his influential role in 20th-century modern mathematics.
-
A.
Claude Chevalley
Claude Chevalley was a French mathematician renowned for his foundational contributions to algebraic geometry, number theory, and the theory of Lie groups and algebraic groups.
-
B.
Frédéric Borel
Frédéric Borel is a prominent French architect known for his expressive, deconstructivist-inspired buildings and influential contributions to contemporary urban architecture.
-
C.
François Bruhat
François Bruhat was a French mathematician known for his work in harmonic analysis and representation theory, particularly on p-adic groups.
-
D.
Jean-Pierre Serre
Jean-Pierre Serre is a French mathematician renowned for his foundational contributions to algebraic topology, algebraic geometry, and number theory, and is considered one of the most influential mathematicians of the 20th century.
-
E.
Jean Leray
Jean Leray was a French mathematician renowned for his foundational work in algebraic topology and partial differential equations.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
human
ⓘ
mathematician ⓘ |
| awardReceived |
Balzan Prize
NERFINISHED
ⓘ
Cole Prize in Algebra NERFINISHED ⓘ Steele Prize for Lifetime Achievement NERFINISHED ⓘ |
| countryOfBirth | Switzerland NERFINISHED ⓘ |
| countryOfCitizenship | Switzerland ⓘ |
| dateOfBirth | 1923-05-21 ⓘ |
| dateOfDeath | 2003-08-11 ⓘ |
| doctoralAdvisor | Henri Cartan NERFINISHED ⓘ |
| educatedAt |
ETH Zurich
NERFINISHED
ⓘ
University of Paris NERFINISHED ⓘ |
| employer | Institute for Advanced Study ⓘ |
| era | 20th-century mathematics ⓘ |
| familyName | Borel NERFINISHED ⓘ |
| fieldOfWork |
Lie groups
NERFINISHED
ⓘ
algebraic geometry ⓘ algebraic groups ⓘ algebraic topology ⓘ arithmetic groups ⓘ mathematics ⓘ representation theory ⓘ |
| gender | male ⓘ |
| givenName | Armand NERFINISHED ⓘ |
| knownFor |
Borel density theorem
NERFINISHED
ⓘ
Borel fixed-point theorem NERFINISHED ⓘ Borel regulator NERFINISHED ⓘ Borel subgroup ⓘ Borel–Bott–Weil theorem NERFINISHED ⓘ Borel–Moore homology NERFINISHED ⓘ Borel–Serre compactification NERFINISHED ⓘ Borel–Weil theorem NERFINISHED ⓘ |
| languageOfWorkOrName |
English
ⓘ
French ⓘ |
| memberOf |
Academia Europaea
NERFINISHED
ⓘ
American Academy of Arts and Sciences ⓘ Bourbaki NERFINISHED ⓘ National Academy of Sciences ⓘ |
| name | Armand Borel NERFINISHED ⓘ |
| notableStudent |
Gopal Prasad
NERFINISHED
ⓘ
Nolan Wallach NERFINISHED ⓘ Pierre Deligne NERFINISHED ⓘ |
| notableWork |
Intersection Cohomology
NERFINISHED
ⓘ
Linear Algebraic Groups NERFINISHED ⓘ Semisimple Lie Groups and Riemannian Symmetric Spaces NERFINISHED ⓘ |
| placeOfBirth | La Chaux-de-Fonds NERFINISHED ⓘ |
| placeOfDeath | Princeton, New Jersey NERFINISHED ⓘ |
| workLocation | Princeton, New Jersey 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: Armand Borel Description of subject: Armand Borel was a Swiss mathematician renowned for his foundational work in algebraic groups, Lie groups, and arithmetic groups, and for his influential role in 20th-century modern mathematics.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.