Jean-Louis Koszul
E679952
Jean-Louis Koszul was a French mathematician renowned for his foundational contributions to differential geometry and homological algebra, including the development of Koszul complexes and Koszul duality.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Jean-Louis Koszul canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T7553243 — 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.
Target entity: Jean-Louis Koszul Context triple: [Bourbaki school of mathematics, hasMember, Jean-Louis Koszul]
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A.
Charles Ehresmann
Charles Ehresmann was a French mathematician known for his foundational work in differential topology and category theory, including the development of concepts such as fiber bundles and Lie groupoids.
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B.
Henri Cartan
Henri Cartan was a prominent French mathematician known for his foundational contributions to algebraic topology, homological algebra, and the theory of analytic functions.
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C.
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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D.
Max Karoubi
Max Karoubi is a French mathematician known for his influential work in K-theory and its applications to topology and geometry.
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E.
Jean Cartan
Jean Cartan was a French composer of the early 20th century known for his chamber and piano works before his career was cut short by his early death.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Jean-Louis Koszul Target entity description: Jean-Louis Koszul was a French mathematician renowned for his foundational contributions to differential geometry and homological algebra, including the development of Koszul complexes and Koszul duality.
-
A.
Charles Ehresmann
Charles Ehresmann was a French mathematician known for his foundational work in differential topology and category theory, including the development of concepts such as fiber bundles and Lie groupoids.
-
B.
Henri Cartan
Henri Cartan was a prominent French mathematician known for his foundational contributions to algebraic topology, homological algebra, and the theory of analytic functions.
-
C.
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.
-
D.
Max Karoubi
Max Karoubi is a French mathematician known for his influential work in K-theory and its applications to topology and geometry.
-
E.
Jean Cartan
Jean Cartan was a French composer of the early 20th century known for his chamber and piano works before his career was cut short by his early death.
- F. None of above. chosen
Statements (43)
| Predicate | Object |
|---|---|
| instanceOf |
human
ⓘ
mathematician ⓘ |
| areaOfInfluence |
homological methods in algebra
ⓘ
modern algebraic geometry ⓘ |
| countryOfCitizenship | France ⓘ |
| educatedAt | École Normale Supérieure NERFINISHED ⓘ |
| employer |
University of Strasbourg
NERFINISHED
ⓘ
Université de Grenoble NERFINISHED ⓘ |
| familyName | Koszul NERFINISHED ⓘ |
| fieldOfWork |
Lie theory
ⓘ
algebra ⓘ differential geometry NERFINISHED ⓘ homological algebra ⓘ mathematics ⓘ |
| givenName | Jean-Louis NERFINISHED ⓘ |
| hasAcademicDiscipline | pure mathematics ⓘ |
| hasContribution |
applications of Lie groups and Lie algebras to geometry
ⓘ
development of algebraic tools for differential geometry ⓘ formulation of Koszul duality between certain graded algebras ⓘ introduction of Koszul complexes in homological algebra ⓘ study of cohomology of Lie algebras ⓘ work on connections and curvature in differential geometry ⓘ |
| influenced |
development of homological algebra
ⓘ
theory of graded algebras ⓘ |
| influencedBy |
Henri Cartan
NERFINISHED
ⓘ
Élie Cartan NERFINISHED ⓘ |
| knownFor |
Koszul cohomology
NERFINISHED
ⓘ
Koszul complex NERFINISHED ⓘ Koszul duality NERFINISHED ⓘ work on Lie algebras ⓘ work on connections in differential geometry ⓘ work on homogeneous spaces ⓘ |
| languageOfWorkOrName | French ⓘ |
| memberOf | Bourbaki seminar NERFINISHED ⓘ |
| name | Jean-Louis Koszul NERFINISHED ⓘ |
| nationality | French ⓘ |
| notableConcept |
Koszul algebra
NERFINISHED
ⓘ
Koszul complex NERFINISHED ⓘ Koszul duality NERFINISHED ⓘ |
| occupation | university teacher ⓘ |
| sexOrGender | male ⓘ |
| workLocation |
Grenoble
NERFINISHED
ⓘ
Strasbourg 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.
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.
Subject: Jean-Louis Koszul Description of subject: Jean-Louis Koszul was a French mathematician renowned for his foundational contributions to differential geometry and homological algebra, including the development of Koszul complexes and Koszul duality.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.