Alexander Grothendieck
E51493
Alexander Grothendieck was a revolutionary 20th-century mathematician whose work in algebraic geometry and homological algebra profoundly reshaped modern mathematics.
All labels observed (4)
| Label | Occurrences |
|---|---|
| Alexander Grothendieck canonical | 41 |
| Alexandre Grothendieck | 4 |
| Alexander Radu Mihai Grothendieck | 1 |
| Grothendieck | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T387131 — 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: Alexander Grothendieck Context triple: [Institute for Advanced Study, notableScholar, Alexander Grothendieck]
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A.
André Weil
André Weil was a prominent 20th-century French mathematician known for foundational contributions to number theory, algebraic geometry, and the development of the Weil conjectures.
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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.
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C.
Helmut Hasse
Helmut Hasse was a German mathematician renowned for his contributions to algebraic number theory and local class field theory, including the Hasse principle and Hasse–Minkowski theorem.
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D.
Bartel Leendert van der Waerden
Bartel Leendert van der Waerden was a Dutch mathematician best known for his foundational work in abstract algebra and contributions to algebraic geometry and number theory.
-
E.
Michael Atiyah
Michael Atiyah was a renowned British-Lebanese mathematician celebrated for his fundamental contributions to topology and geometry, including the development of K-theory and the Atiyah–Singer Index Theorem.
- 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: Alexander Grothendieck Target entity description: Alexander Grothendieck was a revolutionary 20th-century mathematician whose work in algebraic geometry and homological algebra profoundly reshaped modern mathematics.
-
A.
André Weil
André Weil was a prominent 20th-century French mathematician known for foundational contributions to number theory, algebraic geometry, and the development of the Weil conjectures.
-
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.
Helmut Hasse
Helmut Hasse was a German mathematician renowned for his contributions to algebraic number theory and local class field theory, including the Hasse principle and Hasse–Minkowski theorem.
-
D.
Bartel Leendert van der Waerden
Bartel Leendert van der Waerden was a Dutch mathematician best known for his foundational work in abstract algebra and contributions to algebraic geometry and number theory.
-
E.
Michael Atiyah
Michael Atiyah was a renowned British-Lebanese mathematician celebrated for his fundamental contributions to topology and geometry, including the development of K-theory and the Atiyah–Singer Index Theorem.
- F. None of above. chosen
Statements (76)
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: Alexander Grothendieck Description of subject: Alexander Grothendieck was a revolutionary 20th-century mathematician whose work in algebraic geometry and homological algebra profoundly reshaped modern mathematics.
Referenced by (47)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Alexander Radu Mihai Grothendieck
this entity surface form:
Grothendieck
this entity surface form:
Alexandre Grothendieck
this entity surface form:
Alexandre Grothendieck
this entity surface form:
Alexandre Grothendieck
this entity surface form:
Alexandre Grothendieck
Produits tensoriels topologiques et espaces nucléaires
→
hasAuthorAtTimeOfWriting
→
Alexander Grothendieck
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