Editing Andrew Wiles (section)

==Early career==
In 1974, Wiles earned his [[bachelor's degree]] in [[mathematics]] at [[Merton College, Oxford]].<ref name="whoswho"/> Wiles's graduate research was guided by [[John Coates (mathematician)|John Coates]], beginning in the summer of 1975. Together they worked on the arithmetic of [[elliptic curve]]s with [[complex multiplication]] by the methods of [[Iwasawa theory]]. He further worked with [[Barry Mazur]] on the [[main conjecture of Iwasawa theory]] over the [[rational number]]s, and soon afterward, he generalised this result to [[totally real field]]s.<ref name="royal"/><ref name=nas>{{cite web|title=Andrew Wiles|url=http://www.nasonline.org/member-directory/members/3001745.html|publisher=[[National Academy of Sciences]]|access-date=16 March 2016}}</ref>

In 1980, Wiles earned a PhD while at [[Clare College, Cambridge]].<ref name=wphd>{{cite thesis|degree=PhD|publisher=University of Cambridge|title=Reciprocity laws and the conjecture of Birch and Swinnerton-Dyer|first= Andrew John|last=Wiles|date=1978|url=http://ulmss-newton.lib.cam.ac.uk/vwebv/holdingsInfo?bibId=15254|id={{EThOS|uk.bl.ethos.477263}}|via=Cambridge University Library|oclc=500589130}}</ref> After a stay at the [[Institute for Advanced Study]] in [[Princeton, New Jersey]], in 1981, Wiles became a [[Princeton University Department of Mathematics|Professor of Mathematics]] at [[Princeton University]].<ref name=andrew>{{cite web|first1=John J.|last1=O'Connor|first2=Edmund F.|last2=Robertson|author2-link=Edmund F. Robertson|title=Andrew John Wiles Biography|url=https://mathshistory.st-andrews.ac.uk/Biographies/Wiles/|publisher=[[MacTutor History of Mathematics archive]]|date=September 2009|access-date=1 February 2022}}</ref>

In 1985–86, Wiles was a [[Guggenheim Fellow]] at the [[Institut des Hautes Études Scientifiques]] near Paris and at the {{lang|fr|[[École Normale Supérieure]]|italic=no}}.<ref name=andrew/>

In 1989, Wiles was elected to the [[Royal Society]]. At that point according to his election certificate, he had been working "on the construction of ℓ-adic representations attached to [[Hilbert modular form]]s, and has applied these to prove the 'main conjecture' for cyclotomic extensions of totally real fields".<ref name="royal">{{cite web|url=https://collections.royalsociety.org/DServe.exe?dsqIni=Dserve.ini&dsqApp=Archive&dsqDb=Catalog&dsqCmd=show.tcl&dsqSearch=(RefNo==%27EC%2F1989%2F39%27)|title=EC/1989/39: Wiles, Sir Andrew John|publisher=[[The Royal Society]]|access-date=16 March 2016|archive-date=13 July 2015|archive-url=https://web.archive.org/web/20150713195729/https://collections.royalsociety.org/DServe.exe?dsqIni=Dserve.ini&dsqApp=Archive&dsqDb=Catalog&dsqCmd=show.tcl&dsqSearch=(RefNo==%27EC%2F1989%2F39%27)|url-status=dead}}</ref>