Jean-Marc Fontaine
E899887
Jean-Marc Fontaine was a French mathematician known for his foundational work in p-adic Hodge theory and arithmetic geometry.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Jean-Marc Fontaine canonical | 2 |
Statements (50)
| Predicate | Object |
|---|---|
| instanceOf |
French mathematician
ⓘ
human ⓘ mathematician ⓘ |
| areaOfInfluence |
Langlands program
NERFINISHED
ⓘ
modern number theory ⓘ |
| contributedTo |
foundations of p-adic Hodge theory
ⓘ
relationship between étale cohomology and p-adic Galois representations ⓘ |
| countryOfCitizenship | France ⓘ |
| doctoralAdvisor | Alexander Grothendieck NERFINISHED ⓘ |
| educatedAt |
University of Paris
NERFINISHED
ⓘ
École Normale Supérieure NERFINISHED ⓘ |
| employer |
CNRS
NERFINISHED
ⓘ
Université Paris-Sud NERFINISHED ⓘ |
| era |
20th-century mathematics
ⓘ
21st-century mathematics ⓘ |
| familyName | Fontaine NERFINISHED ⓘ |
| fieldOfWork |
arithmetic geometry
ⓘ
mathematics ⓘ number theory ⓘ p-adic Hodge theory NERFINISHED ⓘ |
| gender | male ⓘ |
| givenName | Jean-Marc NERFINISHED ⓘ |
| hasAcademicDiscipline |
Galois representations
ⓘ
algebraic geometry ⓘ |
| influenced |
arithmetic geometry in the late 20th century
ⓘ
p-adic representation theory ⓘ |
| knownFor |
Fontaine rings
NERFINISHED
ⓘ
Fontaine’s theory of (φ,Γ)-modules NERFINISHED ⓘ classification of p-adic Galois representations ⓘ development of p-adic Hodge structures ⓘ foundational work in p-adic Hodge theory ⓘ work in arithmetic geometry ⓘ |
| languageOfWorkOrName | French ⓘ |
| memberOf | Académie des sciences (France) NERFINISHED ⓘ |
| name | Jean-Marc Fontaine NERFINISHED ⓘ |
| notableConcept |
(φ,Γ)-modules over the Robba ring
ⓘ
B_{cris} (crystalline period ring) NERFINISHED ⓘ B_{dR} (de Rham period ring) NERFINISHED ⓘ B_{st} (semistable period ring) NERFINISHED ⓘ Fontaine–Wintenberger theorem NERFINISHED ⓘ Fontaine’s period rings ⓘ classification of crystalline representations ⓘ classification of de Rham representations ⓘ classification of semistable representations ⓘ p-adic comparison isomorphisms ⓘ |
| notableStudent |
Jean-Pierre Wintenberger
NERFINISHED
ⓘ
Laurent Fargues NERFINISHED ⓘ |
| notableWork | papers on p-adic Galois representations and period rings ⓘ |
| occupation |
researcher
ⓘ
university teacher ⓘ |
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.