Luc Illusie
E912693
Luc Illusie is a French mathematician renowned for his influential work in algebraic geometry, particularly in the development of deformation theory and the theory of the cotangent complex.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Luc Illusie canonical | 6 |
| Illusie | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T10772806 — 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: Luc Illusie Context triple: [SGA, editor, Luc Illusie]
-
A.
Jean-Louis Verdier
Jean-Louis Verdier was a French mathematician known for his foundational work in sheaf theory and derived categories, notably through his influential thesis under Alexandre Grothendieck.
-
B.
Laurent Lafforgue
Laurent Lafforgue is a French mathematician renowned for his groundbreaking work on the Langlands program, for which he received the Fields Medal.
-
C.
Alexander Grothendieck
Alexander Grothendieck was a revolutionary 20th-century mathematician whose work in algebraic geometry and homological algebra profoundly reshaped modern mathematics.
-
D.
Pierre Deligne
Pierre Deligne is a Belgian mathematician renowned for his groundbreaking work in algebraic geometry and number theory, including his proof of the Weil conjectures.
-
E.
André Joyal
André Joyal is a Canadian mathematician renowned for his influential work in category theory, including the development of Joyal's theory of species and contributions to higher-dimensional category theory and topos theory.
- 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: Luc Illusie Target entity description: Luc Illusie is a French mathematician renowned for his influential work in algebraic geometry, particularly in the development of deformation theory and the theory of the cotangent complex.
-
A.
Jean-Louis Verdier
Jean-Louis Verdier was a French mathematician known for his foundational work in sheaf theory and derived categories, notably through his influential thesis under Alexandre Grothendieck.
-
B.
Laurent Lafforgue
Laurent Lafforgue is a French mathematician renowned for his groundbreaking work on the Langlands program, for which he received the Fields Medal.
-
C.
Alexander Grothendieck
Alexander Grothendieck was a revolutionary 20th-century mathematician whose work in algebraic geometry and homological algebra profoundly reshaped modern mathematics.
-
D.
Pierre Deligne
Pierre Deligne is a Belgian mathematician renowned for his groundbreaking work in algebraic geometry and number theory, including his proof of the Weil conjectures.
-
E.
André Joyal
André Joyal is a Canadian mathematician renowned for his influential work in category theory, including the development of Joyal's theory of species and contributions to higher-dimensional category theory and topos theory.
- F. None of above. chosen
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
algebraic geometer
ⓘ
human ⓘ mathematician ⓘ |
| affiliation |
CNRS
ⓘ
linked to:
Centre National de la Recherche Scientifique
|
| awardReceived |
CNRS Silver Medal
ⓘ
Leroy P. Steele Prize for Lifetime Achievement ⓘ
linked to:
Leroy P. Steele Prize
Prix Carrière de l’Académie des Sciences ⓘ
linked to:
Prix Carrière de l’Académie des sciences
|
| countryOfCitizenship | France ⓘ |
| educatedAt |
École Normale Supérieure
ⓘ
linked to:
École Normale (Paris)
|
| employer |
Université Paris-Saclay
ⓘ
Université Paris-Sud ⓘ |
| familyName |
Illusie
ⓘ
linked to:
Luc Illusie
|
| fieldOfWork |
algebraic K-theory
ⓘ
algebraic geometry ⓘ cotangent complex ⓘ crystalline cohomology ⓘ deformation theory ⓘ p-adic Hodge theory ⓘ |
| gender | male ⓘ |
| givenName | Luc ⓘ |
| hasAcademicStatus | professor emeritus ⓘ |
| hasAdvisor | Alexander Grothendieck ⓘ |
| influenced |
algebraic geometers working in deformation theory
ⓘ
development of derived methods in algebraic geometry ⓘ research in p-adic Hodge theory ⓘ |
| influencedBy |
Alexander Grothendieck
ⓘ
Jean-Pierre Serre ⓘ |
| languageOfWorkOrName |
English
ⓘ
French ⓘ |
| memberOf |
French Academy of Sciences
ⓘ
linked to:
Académie des Sciences
|
| notableFor |
applications of cotangent complexes to deformation problems
ⓘ
contributions to deformation theory in algebraic geometry ⓘ contributions to p-adic Hodge theory ⓘ expository work on Grothendieck’s ideas ⓘ influence on modern algebraic geometry ⓘ work on crystalline cohomology ⓘ work on the theory of the cotangent complex ⓘ |
| notableStudent |
Ahmed Abbes
ⓘ
Ofer Gabber ⓘ |
| notableWork |
“Complexe cotangent et déformations II”
ⓘ
linked to:
“Complexe cotangent et déformations I”
“Complexe cotangent et déformations I” ⓘ |
| occupation | mathematician ⓘ |
| partOf | French school of algebraic geometry ⓘ |
| worksOn |
Grothendieck’s program in algebraic geometry
ⓘ
linked to:
Grothendieck’s scheme-theoretic framework
cohomological methods in algebraic geometry ⓘ logarithmic geometry ⓘ |
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: Luc Illusie Description of subject: Luc Illusie is a French mathematician renowned for his influential work in algebraic geometry, particularly in the development of deformation theory and the theory of the cotangent complex.
Referenced by (7)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Luc Illusie