Alain Connes
Between 1966 and 1970 he studied at École normale supérieure in Paris, and in 1973 he obtained a PhD from Pierre and Marie Curie University, under the supervision of Jacques Dixmier.[5] In 1976 he returned to France and worked as professor at Pierre and Marie Curie University until 1980 and at CNRS between 1981 and 1984.[11] In his early work on von Neumann algebras in the 1970s, he succeeded in obtaining the almost complete classification of injective factors.He also introduced cyclic cohomology in the early 1980s as a first step in the study of noncommutative differential geometry.[42] In 2001 he received (together with his co-authors André Lichnerowicz and Marco Schutzenberger) the Peano Prize for his work Triangle of Thoughts.
DraguignanÉcole Normale SupérieurePierre and Marie Curie UniversityBaum–Connes conjectureNoncommutative geometryNoncommutative standard modelOperator algebrasThermal time hypothesisPeccot-Vimont PrizeCNRS Silver MedalAmpère PrizeFields MedalClay Research AwardCrafoord PrizeCNRS Gold medalParticle physicsCollège de FranceOhio State UniversityVanderbilt UniversityThesisDoctoral advisorJacques DixmierJean-Benoît BostGeorges SkandalisInstitut des Hautes Études ScientifiquesMarseilleclasses préparatoiresFrench National Centre for Scientific ResearchQueen's University at KingstonConservatoire national des arts et métierstheoretical physicsnumber theorydifferential geometrythe spectral Standard Modelquantum gravityvon Neumann algebrasConnes embedding problemoperator K-theoryindex theorycyclic cohomologynoncommutative differential geometryNicolas BourbakiHenri Moscovicisilver medalgold medalinvited speakerInternational Congress of MathematiciansVilleneuve-d'Ascqhonorary degreesUniversity of Rome Tor VergataUniversity of OsloUniversity of Southern DenmarkUniversité Libre de BruxellesShanghai Fudan UniversityFrench Academy of SciencesRoyal Danish Academy of Sciences and LettersNorwegian Academy of Science and LettersAmerican Academy of Arts and SciencesLondon Mathematical SocietyRoyal Society of CanadaUS National Academy of SciencesRussian Academy of ScienceRoyal Academy of Science, Letters and Fine Arts of BelgiumAndré LichnerowiczMarco SchutzenbergerMatilde MarcolliAmerican Mathematical SocietyMarcel-Paul SchutzenbergerJean-Pierre ChangeuxPrinceton University PressAcademic PressBost–Connes systemCyclic categoryCyclic homologyFactor (functional analysis)Higgs bosonC*-algebraNoncommutative quantum field theoryM-theoryGroupoidSpectral tripleCriticism of non-standard analysisRiemann hypothesisRobertson, EdmundMacTutor History of Mathematics archiveCelebratio MathematicaSkandalis, GeorgesGoldstein, CatherineEuropean Mathematical SocietySabine HossenfelderMoore, CalvinNotices of the American Mathematical SocietyNieuw Archief voor WiskundeCollege de FranceClay Mathematics InstituteRoyal Swedish Academy of SciencesScienceSciences et AvenirOslo UniversityNational Academy of SciencesRussian Academy of SciencesSegal, IrvingMathematics Genealogy ProjectGoogle ScholarFields MedalistsAhlforsDouglasSchwartzSelbergKodairaHörmanderMilnorAtiyahGrothendieckHironakaNovikovThompsonBombieriMumfordDeligneFeffermanMargulisQuillenThurstonDonaldsonFaltings