Ian Agol
E824756
Ian Agol is an American mathematician renowned for his groundbreaking work in low-dimensional topology and geometric group theory, including major contributions to the virtual Haken and virtual fibering conjectures.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Ian Agol canonical | 2 |
| Ian Agol (as a mathematical collaborator, not necessarily student) | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T9844939 — 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: Ian Agol Context triple: [Breakthrough Prize in Mathematics, notableRecipient, Ian Agol]
-
A.
Marc Culler
Marc Culler is an American mathematician known for his contributions to geometric group theory and low-dimensional topology.
-
B.
William Thurston
William Thurston was a pioneering American mathematician renowned for his revolutionary contributions to low-dimensional topology and geometry, including the geometrization conjecture for 3-manifolds.
-
C.
Sasson Gabai
Sasson Gabai is an Israeli actor best known internationally for his roles in films such as "The Band's Visit" and numerous Israeli television and theater productions.
-
D.
Curtis T. McMullen
Curtis T. McMullen is an American mathematician renowned for his work in complex dynamics, hyperbolic geometry, and Teichmüller theory, and a recipient of the Fields Medal.
-
E.
Mladen Bestvina
Mladen Bestvina is a Croatian-American mathematician renowned for his contributions to geometric group theory and low-dimensional topology.
- 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: Ian Agol Target entity description: Ian Agol is an American mathematician renowned for his groundbreaking work in low-dimensional topology and geometric group theory, including major contributions to the virtual Haken and virtual fibering conjectures.
-
A.
Marc Culler
Marc Culler is an American mathematician known for his contributions to geometric group theory and low-dimensional topology.
-
B.
William Thurston
William Thurston was a pioneering American mathematician renowned for his revolutionary contributions to low-dimensional topology and geometry, including the geometrization conjecture for 3-manifolds.
-
C.
Sasson Gabai
Sasson Gabai is an Israeli actor best known internationally for his roles in films such as "The Band's Visit" and numerous Israeli television and theater productions.
-
D.
Curtis T. McMullen
Curtis T. McMullen is an American mathematician renowned for his work in complex dynamics, hyperbolic geometry, and Teichmüller theory, and a recipient of the Fields Medal.
-
E.
Mladen Bestvina
Mladen Bestvina is a Croatian-American mathematician renowned for his contributions to geometric group theory and low-dimensional topology.
- F. None of above. chosen
Statements (42)
| Predicate | Object |
|---|---|
| instanceOf |
human
ⓘ
mathematician ⓘ |
| academicStatus | professor ⓘ |
| affiliation |
Department of Mathematics, University of California, Berkeley
ⓘ
linked to:
Department of Mathematics (UC Berkeley)
|
| awardReceived |
Clay Research Award
ⓘ
linked to:
Clay Research Awards
Cole Prize in Geometry and Topology ⓘ Oswald Veblen Prize in Geometry ⓘ
linked to:
Oswald Veblen Prize
Simons Investigator ⓘ
linked to:
Simons Investigator Award
|
| citizenship | American ⓘ |
| countryOfCitizenship | United States of America ⓘ |
| doctoralAdvisor | Michael Freedman ⓘ |
| educatedAt |
California Institute of Technology
ⓘ
University of California, San Diego ⓘ |
| employer | University of California, Berkeley ⓘ |
| familyName | Agol ⓘ |
| fieldOfWork |
3-manifold theory
ⓘ
geometric group theory ⓘ hyperbolic geometry ⓘ low-dimensional topology ⓘ |
| givenName | Ian ⓘ |
| hasResearchInterest |
3-manifolds
ⓘ
Kleinian groups ⓘ
linked to:
Kleinian group
geometric topology ⓘ |
| influencedBy |
Michael Freedman
ⓘ
William Thurston ⓘ |
| knownFor |
groundbreaking work in geometric group theory
ⓘ
groundbreaking work in low-dimensional topology ⓘ major contributions to the virtual Haken conjecture ⓘ major contributions to the virtual fibering conjecture ⓘ |
| language | English ⓘ |
| memberOf | American Mathematical Society ⓘ |
| name | Ian Agol ⓘ |
| notableAchievement |
proved that every closed hyperbolic 3-manifold has a finite cover that fibers over the circle
ⓘ
proved that every closed hyperbolic 3-manifold has a finite cover that is Haken ⓘ |
| notableConcept |
virtual Haken theorem
ⓘ
virtual fibering theorem ⓘ |
| notableWork |
solution of the virtual Haken conjecture
ⓘ
solution of the virtual fibering conjecture for hyperbolic 3-manifolds ⓘ work on tameness of hyperbolic 3-manifolds ⓘ work on the ending lamination conjecture (related contributions) ⓘ |
| occupation | mathematician ⓘ |
| workLocation |
Berkeley, California
ⓘ
linked to:
Berkeley, California, United States
|
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: Ian Agol Description of subject: Ian Agol is an American mathematician renowned for his groundbreaking work in low-dimensional topology and geometric group theory, including major contributions to the virtual Haken and virtual fibering conjectures.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
Jeffrey Brock
→
notableStudent
→
Ian Agol (as a mathematical collaborator, not necessarily student)
ⓘ
linked to: Ian Agol