Alex Eskin
E824757
Alex Eskin is a prominent mathematician known for his groundbreaking work in dynamics and geometry, particularly on moduli spaces and billiards, which earned him major honors including the Breakthrough Prize in Mathematics.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Alex Eskin canonical | 5 |
How this entity was disambiguated
This entity first appeared as the object of triple T9844941 — 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: Alex Eskin Context triple: [Breakthrough Prize in Mathematics, notableRecipient, Alex Eskin]
-
A.
Genia Averbuch
Genia Averbuch was an Israeli architect best known for her influential modernist designs in Tel Aviv during the early 20th century.
-
B.
Corinna da Fonseca-Wollheim
Corinna da Fonseca-Wollheim is a German-American music critic and writer best known for her work with The New York Times covering classical music and contemporary composers.
-
C.
Rachel Yanait Ben-Zvi
Rachel Yanait Ben-Zvi was a prominent Zionist activist, educator, and leader in the Jewish labor movement in pre-state Israel, and the wife of Israel’s second president, Yitzhak Ben-Zvi.
-
D.
Ariel Porat
Ariel Porat is an Israeli legal scholar and academic leader who serves as president of Tel Aviv University.
-
E.
Zeev Rudnick
Zeev Rudnick is an Israeli mathematician known for his work in number theory, quantum chaos, and mathematical physics.
- 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: Alex Eskin Target entity description: Alex Eskin is a prominent mathematician known for his groundbreaking work in dynamics and geometry, particularly on moduli spaces and billiards, which earned him major honors including the Breakthrough Prize in Mathematics.
-
A.
Genia Averbuch
Genia Averbuch was an Israeli architect best known for her influential modernist designs in Tel Aviv during the early 20th century.
-
B.
Corinna da Fonseca-Wollheim
Corinna da Fonseca-Wollheim is a German-American music critic and writer best known for her work with The New York Times covering classical music and contemporary composers.
-
C.
Rachel Yanait Ben-Zvi
Rachel Yanait Ben-Zvi was a prominent Zionist activist, educator, and leader in the Jewish labor movement in pre-state Israel, and the wife of Israel’s second president, Yitzhak Ben-Zvi.
-
D.
Ariel Porat
Ariel Porat is an Israeli legal scholar and academic leader who serves as president of Tel Aviv University.
-
E.
Zeev Rudnick
Zeev Rudnick is an Israeli mathematician known for his work in number theory, quantum chaos, and mathematical physics.
- F. None of above. chosen
Statements (38)
| Predicate | Object |
|---|---|
| instanceOf |
human
ⓘ
mathematician ⓘ |
| awardReceived |
Breakthrough Prize in Mathematics
ⓘ
Clay Research Award ⓘ
linked to:
Clay Research Awards
Royal Swedish Academy of Sciences prize in mathematics ⓘ |
| citizenship | United States of America ⓘ |
| coAuthor |
Amir Mohammadi
ⓘ
Curt McMullen ⓘ
linked to:
Curtis T. McMullen
Howard Masur ⓘ Maryam Mirzakhani ⓘ |
| doctoralAdvisor | Peter Sarnak ⓘ |
| educatedAt |
Harvard University
ⓘ
Princeton University ⓘ |
| employer | University of Chicago ⓘ |
| field |
Teichmüller dynamics
ⓘ
linked to:
Teichmüller theory
dynamical systems ⓘ ergodic theory ⓘ geometry ⓘ mathematics ⓘ |
| gender | male ⓘ |
| knownFor |
Eskin–Mirzakhani theorem
ⓘ
applications of homogeneous dynamics to geometry ⓘ measure rigidity results in Teichmüller dynamics ⓘ work on billiards in polygons ⓘ work on dynamics on moduli spaces ⓘ work on flat surfaces ⓘ |
| memberOf | American Mathematical Society ⓘ |
| name | Alex Eskin ⓘ |
| notableStudent | Maryam Mirzakhani ⓘ |
| notableWork |
Eskin–Mirzakhani–Mohammadi classification of invariant measures
ⓘ
results on counting closed geodesics on flat surfaces ⓘ results on random walks on homogeneous spaces ⓘ |
| occupation | professor of mathematics ⓘ |
| researchArea |
Diophantine approximation
ⓘ
billiards in rational polygons ⓘ homogeneous dynamics ⓘ moduli spaces of Riemann surfaces ⓘ translation surfaces ⓘ |
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: Alex Eskin Description of subject: Alex Eskin is a prominent mathematician known for his groundbreaking work in dynamics and geometry, particularly on moduli spaces and billiards, which earned him major honors including the Breakthrough Prize in Mathematics.
Referenced by (5)
Full triples — surface form annotated when it differs from this entity's canonical label.