Jürgen Neukirch
E204745
Jürgen Neukirch was a German mathematician renowned for his influential work in algebraic number theory and for authoring widely used textbooks in the field.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Jürgen Neukirch canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T1822612 — 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: Jürgen Neukirch Context triple: [Max Deuring, notableStudent, Jürgen Neukirch]
-
A.
Gerd Faltings
Gerd Faltings is a German mathematician renowned for his groundbreaking work in arithmetic geometry, particularly his proof of the Mordell conjecture, for which he received the Fields Medal.
-
B.
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.
-
C.
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.
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D.
Friedrich Hirzebruch
Friedrich Hirzebruch was a German mathematician renowned for his foundational work in topology and algebraic geometry, particularly the Hirzebruch–Riemann–Roch theorem.
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E.
Enrico Bombieri
Enrico Bombieri is an Italian mathematician renowned for his work in number theory, analysis, and the theory of minimal surfaces, and as a recipient of the Fields Medal.
- 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: Jürgen Neukirch Target entity description: Jürgen Neukirch was a German mathematician renowned for his influential work in algebraic number theory and for authoring widely used textbooks in the field.
-
A.
Gerd Faltings
Gerd Faltings is a German mathematician renowned for his groundbreaking work in arithmetic geometry, particularly his proof of the Mordell conjecture, for which he received the Fields Medal.
-
B.
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.
-
C.
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.
-
D.
Friedrich Hirzebruch
Friedrich Hirzebruch was a German mathematician renowned for his foundational work in topology and algebraic geometry, particularly the Hirzebruch–Riemann–Roch theorem.
-
E.
Enrico Bombieri
Enrico Bombieri is an Italian mathematician renowned for his work in number theory, analysis, and the theory of minimal surfaces, and as a recipient of the Fields Medal.
- F. None of above. chosen
Statements (41)
| Predicate | Object |
|---|---|
| instanceOf |
German mathematician
ⓘ
human ⓘ mathematician ⓘ |
| academicContribution |
integration of cohomology into number theory textbooks
ⓘ
modern textbook treatment of class field theory ⓘ systematic exposition of algebraic number theory ⓘ |
| areaOfInfluence | modern algebraic number theory ⓘ |
| associatedWithConcept |
class field theory via ideles
ⓘ
cohomological approach to number fields ⓘ |
| countryOfCitizenship | Germany ⓘ |
| educationalImpact |
standard reference for graduate courses in algebraic number theory
ⓘ
widely used in mathematics departments worldwide ⓘ |
| familyName | Neukirch ⓘ |
| fieldOfWork |
algebraic number theory
ⓘ
mathematics ⓘ number theory ⓘ |
| genre | mathematics textbook ⓘ |
| givenName | Jürgen ⓘ |
| hasAcademicDiscipline |
Galois theory
ⓘ
algebra ⓘ class field theory ⓘ |
| hasNotableStudent | readers of his textbooks ⓘ |
| hasReputation |
clear exposition
ⓘ
rigorous treatment of number theory ⓘ |
| influenced | students of algebraic number theory ⓘ |
| isRenownedFor |
authoring widely used textbooks in algebraic number theory
ⓘ
influential work in algebraic number theory ⓘ |
| languageOfWorkOrName |
English
ⓘ
German ⓘ |
| name | Jürgen Neukirch self-link ⓘ |
| notableFor |
contributions to class field theory
ⓘ
textbooks on algebraic number theory ⓘ |
| notableWork |
Neukirch: Algebraic Number Theory
ⓘ
surface form:
Algebraic Number Theory
global class field theory ⓘ
surface form:
Class Field Theory
Cohomologie Galoisienne ⓘ
surface form:
Cohomology of Number Fields
|
| occupation |
author
ⓘ
university teacher ⓘ |
| subjectOf | research in history of modern number theory ⓘ |
| workFocus |
Galois groups of number fields
ⓘ
cohomological methods in number theory ⓘ structure of number fields ⓘ |
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: Jürgen Neukirch Description of subject: Jürgen Neukirch was a German mathematician renowned for his influential work in algebraic number theory and for authoring widely used textbooks in the field.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.