Ernst Eduard Kummer
E104397
Ernst Eduard Kummer was a 19th-century German mathematician renowned for his foundational work in number theory, particularly on ideal numbers and Fermat's Last Theorem.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Ernst Eduard Kummer canonical | 10 |
| Ernst Kummer | 4 |
How this entity was disambiguated
This entity first appeared as the object of triple T846884 — 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: Ernst Eduard Kummer Context triple: [Leopold Kronecker, doctoralAdvisor, Ernst Eduard Kummer]
-
A.
Leopold Kronecker
Leopold Kronecker was a 19th-century German mathematician known for his work in number theory, algebra, and logic, and for his influential finitist and constructivist views on mathematics.
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B.
Alfred Clebsch
Alfred Clebsch was a 19th-century German mathematician known for his influential work in algebraic geometry and invariant theory.
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C.
Ferdinand von Lindemann
Ferdinand von Lindemann was a German mathematician best known for proving the transcendence of π, thereby establishing the impossibility of squaring the circle with ruler and compass.
-
D.
Felix Klein
Felix Klein was a German mathematician renowned for his work in group theory, non-Euclidean geometry, and the Erlangen Program, which redefined the foundations of geometry.
-
E.
Carl Gustav Jacob Jacobi
Carl Gustav Jacob Jacobi was a 19th-century German mathematician renowned for his fundamental contributions to elliptic functions, number theory, and 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: Ernst Eduard Kummer Target entity description: Ernst Eduard Kummer was a 19th-century German mathematician renowned for his foundational work in number theory, particularly on ideal numbers and Fermat's Last Theorem.
-
A.
Leopold Kronecker
Leopold Kronecker was a 19th-century German mathematician known for his work in number theory, algebra, and logic, and for his influential finitist and constructivist views on mathematics.
-
B.
Alfred Clebsch
Alfred Clebsch was a 19th-century German mathematician known for his influential work in algebraic geometry and invariant theory.
-
C.
Ferdinand von Lindemann
Ferdinand von Lindemann was a German mathematician best known for proving the transcendence of π, thereby establishing the impossibility of squaring the circle with ruler and compass.
-
D.
Felix Klein
Felix Klein was a German mathematician renowned for his work in group theory, non-Euclidean geometry, and the Erlangen Program, which redefined the foundations of geometry.
-
E.
Carl Gustav Jacob Jacobi
Carl Gustav Jacob Jacobi was a 19th-century German mathematician renowned for his fundamental contributions to elliptic functions, number theory, and differential equations.
- F. None of above. chosen
Statements (50)
| Predicate | Object |
|---|---|
| instanceOf |
German mathematician
ⓘ
human ⓘ mathematician ⓘ |
| academicDegree | doctorate in mathematics ⓘ |
| awardReceived |
Copley Medal
ⓘ
Order Pour le Mérite for Sciences and Arts ⓘ Copley Medal ⓘ
surface form:
Royal Society Copley Medal
|
| countryOfCitizenship |
Prussia
ⓘ
surface form:
Kingdom of Prussia
|
| dateOfBirth | 1810-01-29 ⓘ |
| dateOfDeath | 1893-05-14 ⓘ |
| educatedAt | University of Halle ⓘ |
| employer |
Prussian Academy of Sciences
ⓘ
Humboldt University of Berlin ⓘ
surface form:
University of Berlin
University of Breslau ⓘ |
| era | 19th-century mathematics ⓘ |
| ethnicGroup | German ⓘ |
| familyName | Kummer ⓘ |
| fieldOfWork |
algebra
ⓘ
analysis ⓘ mathematics ⓘ number theory ⓘ |
| givenName | Ernst ⓘ |
| influenced |
David Hilbert
ⓘ
Leopold Kronecker ⓘ Richard Dedekind ⓘ |
| influencedBy | Carl Friedrich Gauss ⓘ |
| knownFor |
Kummer congruences
ⓘ
Kummer theory ⓘ
surface form:
Kummer extensions
Gaussian periods ⓘ
surface form:
Kummer sums
Kummer surfaces ⓘ Kummer theory ⓘ ideal numbers ⓘ work on Fermat's Last Theorem ⓘ work on cyclotomic fields ⓘ work on reciprocity laws ⓘ |
| languageOfWorkOrName | German ⓘ |
| memberOf | Prussian Academy of Sciences ⓘ |
| middleName | Eduard ⓘ |
| notableStudent |
Karl Weierstrass
ⓘ
Leopold Kronecker ⓘ |
| notableWork |
proof of Fermat's Last Theorem for regular primes
ⓘ
theory of ideal numbers in cyclotomic fields ⓘ |
| placeOfBirth |
Prussia
ⓘ
surface form:
Kingdom of Prussia
Sorau ⓘ |
| placeOfDeath |
Berlin
ⓘ
German Empire ⓘ |
| positionHeld |
member of the Prussian Academy of Sciences
ⓘ
professor of mathematics at University of Berlin ⓘ professor of mathematics at University of Breslau ⓘ |
| sexOrGender | male ⓘ |
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: Ernst Eduard Kummer Description of subject: Ernst Eduard Kummer was a 19th-century German mathematician renowned for his foundational work in number theory, particularly on ideal numbers and Fermat's Last Theorem.
Referenced by (14)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Ernst Kummer
this entity surface form:
Ernst Kummer
subject surface form:
cyclotomic field
this entity surface form:
Ernst Kummer
subject surface form:
Book VI (Disquisitiones Arithmeticae)
this entity surface form:
Ernst Kummer