As a Mathematician

As a Mathematician

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1、CHAPTERIIIASAMATHEMATICIAN11.MyEmbarkationasaMathematicianAftergraduatingfromtheUniversityofTokyoin1952,IobtainedapositionasanassistantattheCollegeofGeneralEducationoftheUniversityofTokyo.ThiswasatenuredpositioninthesensethatIwasagovernmentemployeewhowouldneverbefired,andmores

2、ignificantly,wouldreceiveanextremelymeagersalary.Allmembersofthedepartmentabovetheageoftwenty-sixatthattimewerecontenttobeteachersofcalculus,andIhadnointentionofbecomingamemberofthatgroup.Intheperiod1952–1953,IbegantofindvaguelyinwhichwayIshouldproceed.Istartedadefinitemathemati

3、calprojectintheearlymonthsof1953,andcompleteditaroundOctoberthatyear,whichIcancallthestartingpointofmycareerasamathematician.Beforenarratingthisproject,Ifirstmentiontwoincidents.InthatyearClaudeChevalleyvisitedJapan,andgaveaseriesoflecturesattheUniversityofTokyoonhistheoryofal

4、gebraicgroups.Hewasdevelopingthetheoryonhisown,whichmainlyconcernedlinearalgebraicgroups.Hislectureswerewellprepared,andcontainednewformulationswhichwereusefulforresearchersinthatfield,butasawholetheylackedfreshness,atleasttome.Iwaslookingforsomethingreallynew,whichwouldletmes

5、eeanewhorizon.Heprovedinhislecturesabasictheoremonthefunctionfieldofalinearalgebraicgroup,whichhelaterpublishedina97G.Shimura,TheMapofMyLife,doi:10.1007/978-0-387-79715-1,3°cSpringerScience+BusinessMedia,LLC200898III.ASAMATHEMATICIANpaper(Journ.Math.Soc.Japan6,1954).Heemployed

6、alemma(Lemma2ofthepaper)concerningsubfieldsofapurelytranscen-dentalextensionofafield,andthelemmabyitselfwasclear-cutandinteresting.Isoonfoundasimplerproofofthelemma,whichIthinkwassometimeinthespringof1953;infactIhadproveditinaneasiercase,whichIexplainbelow.Myproofwascommunicate

7、dtoChevalley,whosubstituteditforhisoriginalproof,andwrotethat“ThefollowingproofofthislemmahasbeencommunicatedtomebyMr.Shimura.”Hispaperattractedtheattentionofmanyresearchers,andprobablythiswasthefirsttimemynamewasknowntothemathematicalpublic,atleasttothatextent.Somewhatearlier

8、,attheendofMarchofthesameyear,YasuoAkizuki,aprofessoratKyotoUniversi

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