David Buchsbaum
E790761
David Buchsbaum was an American mathematician known for his influential work in homological algebra and commutative algebra, including the co-development of the Auslander–Buchsbaum formula.
All labels observed (1)
| Label | Occurrences |
|---|---|
| David Buchsbaum canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T9297127 — 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: David Buchsbaum Context triple: [Auslander–Buchsbaum formula, namedAfter, David Buchsbaum]
-
A.
Maurice Auslander
Maurice Auslander was an influential American mathematician known for his foundational work in commutative algebra and representation theory of algebras.
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B.
David Eisenbud
David Eisenbud is an American mathematician known for his influential work in commutative algebra and algebraic geometry, as well as for his leadership as director of the Mathematical Sciences Research Institute (MSRI).
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C.
David Mumford
David Mumford is an American mathematician renowned for his influential work in algebraic geometry and for receiving the Fields Medal in 1974.
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D.
Lipman Bers
Lipman Bers was a prominent mathematician known for his influential work in complex analysis and Teichmüller theory.
-
E.
Solomon Lefschetz
Solomon Lefschetz was a prominent 20th-century mathematician best known for his foundational work in algebraic topology and geometry, including the development of Lefschetz fixed-point 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: David Buchsbaum Target entity description: David Buchsbaum was an American mathematician known for his influential work in homological algebra and commutative algebra, including the co-development of the Auslander–Buchsbaum formula.
-
A.
Maurice Auslander
Maurice Auslander was an influential American mathematician known for his foundational work in commutative algebra and representation theory of algebras.
-
B.
David Eisenbud
David Eisenbud is an American mathematician known for his influential work in commutative algebra and algebraic geometry, as well as for his leadership as director of the Mathematical Sciences Research Institute (MSRI).
-
C.
David Mumford
David Mumford is an American mathematician renowned for his influential work in algebraic geometry and for receiving the Fields Medal in 1974.
-
D.
Lipman Bers
Lipman Bers was a prominent mathematician known for his influential work in complex analysis and Teichmüller theory.
-
E.
Solomon Lefschetz
Solomon Lefschetz was a prominent 20th-century mathematician best known for his foundational work in algebraic topology and geometry, including the development of Lefschetz fixed-point theory.
- F. None of above. chosen
Statements (29)
| Predicate | Object |
|---|---|
| instanceOf |
American mathematician
ⓘ
human ⓘ mathematician ⓘ |
| academicAdvisor | Oscar Zariski ⓘ |
| coAuthorWith | Maurice Auslander ⓘ |
| coDeveloperOf | Auslander–Buchsbaum formula ⓘ |
| contributedTo |
category theory in algebra
ⓘ
theory of Cohen–Macaulay rings ⓘ theory of homological dimension ⓘ |
| countryOfCitizenship | United States of America ⓘ |
| educatedAt |
Columbia University
ⓘ
Harvard University ⓘ |
| employer | Brandeis University ⓘ |
| fieldOfWork |
commutative algebra
ⓘ
homological algebra ⓘ mathematics ⓘ |
| hasResearchArea |
module theory
ⓘ
ring theory ⓘ |
| knownFor |
work in commutative algebra
ⓘ
work in homological algebra ⓘ |
| memberOf | American Mathematical Society ⓘ |
| notableStudent |
Craig Huneke
ⓘ
Eben Matlis ⓘ Graham Evans ⓘ Joseph Lipman ⓘ Luchezar L. Avramov ⓘ Mark Hovey ⓘ |
| notableWork | Auslander–Buchsbaum formula ⓘ |
| positionHeld | professor of mathematics at Brandeis University ⓘ |
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: David Buchsbaum Description of subject: David Buchsbaum was an American mathematician known for his influential work in homological algebra and commutative algebra, including the co-development of the Auslander–Buchsbaum formula.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.