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 5

How this entity was disambiguated

Statements (50)

Predicate Object
instanceOf French mathematician ⓘ
human ⓘ
mathematician ⓘ
areaOfInfluence Langlands program ⓘ
modern number theory ⓘ
contributedTo foundations of p-adic Hodge theory ⓘ
relationship between étale cohomology and p-adic Galois representations ⓘ
countryOfCitizenship France ⓘ
doctoralAdvisor Alexander Grothendieck ⓘ
educatedAt University of Paris ⓘ
École Normale Supérieure ⓘ
employer CNRS ⓘ
Université Paris-Sud ⓘ
era 20th-century mathematics ⓘ
21st-century mathematics ⓘ
familyName Fontaine ⓘ
fieldOfWork arithmetic geometry ⓘ
mathematics ⓘ
number theory ⓘ
p-adic Hodge theory ⓘ
gender male ⓘ
givenName Jean-Marc ⓘ
hasAcademicDiscipline Galois representations ⓘ
algebraic geometry ⓘ
influenced arithmetic geometry in the late 20th century ⓘ
p-adic representation theory ⓘ
knownFor Fontaine rings ⓘ
Fontaine’s theory of (φ,Γ)-modules ⓘ
linked to: p-adic Hodge theory

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) ⓘ
name Jean-Marc Fontaine ⓘ
notableConcept (φ,Γ)-modules over the Robba ring ⓘ
B_{cris} (crystalline period ring) ⓘ
linked to: p-adic Hodge theory

B_{dR} (de Rham period ring) ⓘ
B_{st} (semistable period ring) ⓘ
linked to: p-adic Hodge theory

Fontaine–Wintenberger theorem ⓘ
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 ⓘ
Laurent Fargues ⓘ
notableWork papers on p-adic Galois representations and period rings ⓘ
occupation researcher ⓘ
university teacher ⓘ

How these facts were elicited

Referenced by (5)

Full triples — surface form annotated when it differs from this entity's canonical label.

Nicolas Bourbaki → hasMember → Jean-Marc Fontaine ⓘ
John Tate → notableStudent → Jean-Marc Fontaine ⓘ
p-adic Hodge theory → developedBy → Jean-Marc Fontaine ⓘ
Fontaine–Mazur conjecture → namedAfter → Jean-Marc Fontaine ⓘ
Jean-Marc Fontaine → name → Jean-Marc Fontaine ⓘ