Victor Kolyvagin
E685699
Victor Kolyvagin is a Russian-American mathematician renowned for his groundbreaking work in number theory, particularly his use of Euler systems to obtain deep results about elliptic curves and related conjectures.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Victor Kolyvagin canonical | 3 |
How this entity was disambiguated
This entity first appeared as the object of triple T7743566 — 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: Victor Kolyvagin Context triple: [Birch and Swinnerton-Dyer Conjecture, partiallyProvedBy, Victor Kolyvagin]
-
A.
Dmitry Shemyaka
Dmitry Shemyaka was a 15th-century Russian prince of the House of Rurik known for his dynastic struggle for the throne of Moscow and his bitter rivalry with Grand Prince Vasili II.
-
B.
Vladimir Kokovtsov
Vladimir Kokovtsov was a prominent Russian statesman of the late Imperial period who served as a leading financial and governmental reformer under Tsar Nicholas II.
-
C.
Gavriil Govorov
Gavriil Govorov, better known as St. Theophan the Recluse, was a 19th-century Russian Orthodox bishop, theologian, and influential spiritual writer renowned for his works on inner prayer and Christian asceticism.
-
D.
Pavel Kutakhov
Pavel Kutakhov was a prominent Soviet military aviator and Marshal of Aviation who served as Commander-in-Chief of the Soviet Air Forces during the Cold War.
-
E.
Vasily Yushkevich
Vasily Yushkevich was a Soviet military commander best known for leading Red Army forces during key Eastern Front operations in World War II, including the Velikiye Luki offensive.
- 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: Victor Kolyvagin Target entity description: Victor Kolyvagin is a Russian-American mathematician renowned for his groundbreaking work in number theory, particularly his use of Euler systems to obtain deep results about elliptic curves and related conjectures.
-
A.
Dmitry Shemyaka
Dmitry Shemyaka was a 15th-century Russian prince of the House of Rurik known for his dynastic struggle for the throne of Moscow and his bitter rivalry with Grand Prince Vasili II.
-
B.
Vladimir Kokovtsov
Vladimir Kokovtsov was a prominent Russian statesman of the late Imperial period who served as a leading financial and governmental reformer under Tsar Nicholas II.
-
C.
Gavriil Govorov
Gavriil Govorov, better known as St. Theophan the Recluse, was a 19th-century Russian Orthodox bishop, theologian, and influential spiritual writer renowned for his works on inner prayer and Christian asceticism.
-
D.
Pavel Kutakhov
Pavel Kutakhov was a prominent Soviet military aviator and Marshal of Aviation who served as Commander-in-Chief of the Soviet Air Forces during the Cold War.
-
E.
Vasily Yushkevich
Vasily Yushkevich was a Soviet military commander best known for leading Red Army forces during key Eastern Front operations in World War II, including the Velikiye Luki offensive.
- F. None of above. chosen
Statements (28)
| Predicate | Object |
|---|---|
| instanceOf |
human
ⓘ
mathematician ⓘ |
| countryOfCitizenship |
Russia
ⓘ
United States of America ⓘ |
| ethnicGroup | Russian ⓘ |
| fieldOfWork |
algebraic number theory
ⓘ
arithmetic geometry ⓘ number theory ⓘ |
| gender | male ⓘ |
| hasResearchArea |
Euler systems in arithmetic geometry
ⓘ
Galois representations ⓘ Iwasawa theory ⓘ arithmetic of elliptic curves ⓘ modular forms ⓘ motives ⓘ |
| influenced |
development of Euler system techniques in number theory
ⓘ
research on the Birch and Swinnerton-Dyer conjecture ⓘ |
| languageOfWorkOrName |
English
ⓘ
Russian ⓘ |
| notableFor |
Kolyvagin classes
ⓘ
linked to:
Kolyvagin systems
Kolyvagin systems ⓘ results on elliptic curves ⓘ work on Euler systems ⓘ work on L-functions ⓘ work on Selmer groups ⓘ work related to the Birch and Swinnerton-Dyer conjecture ⓘ |
| occupation | university professor ⓘ |
| workLocation | United States of America ⓘ |
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: Victor Kolyvagin Description of subject: Victor Kolyvagin is a Russian-American mathematician renowned for his groundbreaking work in number theory, particularly his use of Euler systems to obtain deep results about elliptic curves and related conjectures.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.