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<h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Ken Ribet</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Go to an article in another language. Available in 17 languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-17" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">17 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Kenneth_Alan_Ribet" title="Kenneth Alan Ribet – Catalan" lang="ca" hreflang="ca" data-title="Kenneth Alan Ribet" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Kenneth_Alan_Ribet" title="Kenneth Alan Ribet – German" lang="de" hreflang="de" data-title="Kenneth Alan Ribet" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Kenneth_Alan_Ribet" title="Kenneth Alan Ribet – Spanish" lang="es" hreflang="es" data-title="Kenneth Alan Ribet" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Kenneth_Alan_Ribet" title="Kenneth Alan Ribet – French" lang="fr" hreflang="fr" data-title="Kenneth Alan Ribet" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%BC%80%EB%84%A4%EC%8A%A4_%EC%95%A8%EB%9F%B0_%EB%A6%AC%EB%B2%B3" title="케네스 앨런 리벳 – Korean" lang="ko" hreflang="ko" data-title="케네스 앨런 리벳" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Kenneth_Alan_Ribet" title="Kenneth Alan Ribet – Italian" lang="it" hreflang="it" data-title="Kenneth Alan Ribet" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A7%D7%A0%D7%AA%27_%D7%90%D7%9C%D7%9F_%D7%A8%D7%99%D7%91%D7%98" title="קנת' אלן ריבט – Hebrew" lang="he" hreflang="he" data-title="קנת' אלן ריבט" data-language-autonym="עברית" data-language-local-name="Hebrew" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Kenneth_Alan_Ribet" title="Kenneth Alan Ribet – Haitian Creole" lang="ht" hreflang="ht" data-title="Kenneth Alan Ribet" data-language-autonym="Kreyòl ayisyen" data-language-local-name="Haitian Creole" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-arz mw-list-item"><a href="https://arz.wikipedia.org/wiki/%D9%83%D9%8A%D9%86%D9%8A%D8%AB_%D8%B1%D9%8A%D8%A8%D9%8A%D8%AA" title="كينيث ريبيت – Egyptian Arabic" lang="arz" hreflang="arz" data-title="كينيث ريبيت" data-language-autonym="مصرى" data-language-local-name="Egyptian Arabic" class="interlanguage-link-target"><span>مصرى</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Kenneth_Alan_Ribet" title="Kenneth Alan Ribet – Dutch" lang="nl" hreflang="nl" data-title="Kenneth Alan Ribet" data-language-autonym="Nederlands" data-language-local-name="Dutch" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%82%B1%E3%83%B3%E3%83%BB%E3%83%AA%E3%83%99%E3%83%83%E3%83%88" title="ケン・リベット – Japanese" lang="ja" hreflang="ja" data-title="ケン・リベット" data-language-autonym="日本語" data-language-local-name="Japanese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Kenneth_Alan_Ribet" title="Kenneth Alan Ribet – Polish" lang="pl" hreflang="pl" data-title="Kenneth Alan Ribet" data-language-autonym="Polski" data-language-local-name="Polish" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Kenneth_Alan_Ribet" title="Kenneth Alan Ribet – Portuguese" lang="pt" hreflang="pt" data-title="Kenneth Alan Ribet" data-language-autonym="Português" data-language-local-name="Portuguese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Kenneth_Alan_Ribet" title="Kenneth Alan Ribet – Romanian" lang="ro" hreflang="ro" data-title="Kenneth Alan Ribet" data-language-autonym="Română" data-language-local-name="Romanian" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Kenneth_Alan_Ribet" title="Kenneth Alan Ribet – Slovak" lang="sk" hreflang="sk" data-title="Kenneth Alan Ribet" data-language-autonym="Slovenčina" data-language-local-name="Slovak" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Ken_A._Ribet" 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Ribet – Swedish" lang="sv" hreflang="sv" data-title="Ken A. Ribet" data-language-autonym="Svenska" data-language-local-name="Swedish" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E8%82%AF%E5%B0%BC%E6%96%AF%C2%B7%E9%98%BF%E8%98%AD%C2%B7%E9%BB%8E%E8%B2%9D" title="肯尼斯·阿蘭·黎貝 – Chinese" lang="zh" hreflang="zh" data-title="肯尼斯·阿蘭·黎貝" data-language-autonym="中文" data-language-local-name="Chinese" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q535655#sitelinks-wikipedia" title="Edit interlanguage links" class="wbc-editpage">Edit links</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Namespaces"> <div id="p-associated-pages" class="vector-menu 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.infobox-3cols-child{margin:auto}.mw-parser-output .infobox .navbar{font-size:100%}@media screen{html.skin-theme-clientpref-night .mw-parser-output .infobox-full-data:not(.notheme)>div:not(.notheme)[style]{background:#1f1f23!important;color:#f8f9fa}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .infobox-full-data:not(.notheme) div:not(.notheme){background:#1f1f23!important;color:#f8f9fa}}@media(min-width:640px){body.skin--responsive .mw-parser-output .infobox-table{display:table!important}body.skin--responsive .mw-parser-output .infobox-table>caption{display:table-caption!important}body.skin--responsive .mw-parser-output .infobox-table>tbody{display:table-row-group}body.skin--responsive .mw-parser-output .infobox-table tr{display:table-row!important}body.skin--responsive .mw-parser-output .infobox-table th,body.skin--responsive .mw-parser-output .infobox-table td{padding-left:inherit;padding-right:inherit}}</style><table class="infobox biography vcard"><tbody><tr><th colspan="2" class="infobox-above" style="font-size:125%;"><div class="fn">Ken Ribet</div></th></tr><tr><td colspan="2" class="infobox-image"><span class="mw-default-size" typeof="mw:File/Frameless"><a href="/wiki/File:Kenneth_Alan_Ribet_(cropped).jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f3/Kenneth_Alan_Ribet_%28cropped%29.jpg/220px-Kenneth_Alan_Ribet_%28cropped%29.jpg" decoding="async" width="220" height="293" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f3/Kenneth_Alan_Ribet_%28cropped%29.jpg/330px-Kenneth_Alan_Ribet_%28cropped%29.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f3/Kenneth_Alan_Ribet_%28cropped%29.jpg/440px-Kenneth_Alan_Ribet_%28cropped%29.jpg 2x" data-file-width="1255" data-file-height="1673" /></a></span><div class="infobox-caption">Kenneth A. Ribet in 2013</div></td></tr><tr><th scope="row" class="infobox-label">Born</th><td class="infobox-data"><span style="display:none"> (<span class="bday">1948-06-28</span>) </span>June 28, 1948<span class="noprint ForceAgeToShow"> (age 76)</span></td></tr><tr><th scope="row" class="infobox-label">Nationality</th><td class="infobox-data category"><a href="/wiki/United_States" title="United States">American</a></td></tr><tr><th scope="row" class="infobox-label">Alma mater</th><td class="infobox-data"><a href="/wiki/Brown_University" title="Brown University">Brown University</a> (<a href="/wiki/Bachelor_of_Arts" title="Bachelor of Arts">BA</a>, <a href="/wiki/Master_of_Arts" title="Master of Arts">MA</a>)<br /><a href="/wiki/Harvard_University" title="Harvard University">Harvard University</a> (<a href="/wiki/PhD" class="mw-redirect" title="PhD">PhD</a>)</td></tr><tr><th scope="row" class="infobox-label">Known for</th><td class="infobox-data"><a href="/wiki/Ribet%27s_lemma" title="Ribet's lemma">Ribet's lemma</a><br /><a href="/wiki/Ribet%27s_theorem" title="Ribet's theorem">Ribet's theorem</a><br /><a href="/wiki/Herbrand%E2%80%93Ribet_theorem" title="Herbrand–Ribet theorem">Herbrand–Ribet theorem</a></td></tr><tr><th scope="row" class="infobox-label">Awards</th><td class="infobox-data"><style data-mw-deduplicate="TemplateStyles:r1126788409">.mw-parser-output .plainlist ol,.mw-parser-output .plainlist ul{line-height:inherit;list-style:none;margin:0;padding:0}.mw-parser-output .plainlist ol li,.mw-parser-output .plainlist ul li{margin-bottom:0}</style><div class="plainlist"><ul><li><a href="/wiki/Fermat_Prize" title="Fermat Prize">Fermat Prize</a> (1989)</li><li>Fellow of the <a href="/wiki/American_Academy_of_Arts_and_Sciences" title="American Academy of Arts and Sciences">American Academy of Arts and Sciences</a> (1997)</li><li>Fellow of the <a href="/wiki/United_States_National_Academy_of_Sciences" class="mw-redirect" title="United States National Academy of Sciences">National Academy of Sciences</a> (2000)</li><li>Fellow of the <a href="/wiki/American_Mathematical_Society" title="American Mathematical Society">American Mathematical Society</a> (2012)</li><li><a href="/wiki/Brouwer_Medal" title="Brouwer Medal">Brouwer Medal</a> (2017)</li></ul></div></td></tr><tr><td colspan="2" class="infobox-full-data"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1257001546"><b>Scientific career</b></td></tr><tr><th scope="row" class="infobox-label">Fields</th><td class="infobox-data category"><a href="/wiki/Mathematics" title="Mathematics">Mathematics</a></td></tr><tr><th scope="row" class="infobox-label">Institutions</th><td class="infobox-data"><a href="/wiki/Princeton_University" title="Princeton University">Princeton University</a><br /><span class="nowrap"><a href="/wiki/University_of_California,_Berkeley" title="University of California, Berkeley">University of California, Berkeley</a></span></td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Thesis" title="Thesis">Thesis</a></th><td class="infobox-data"><i> Galois action on division points of abelian varieties with real multiplications </i> <span style="font-size:97%;">(1973)</span></td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Doctoral_advisor" title="Doctoral advisor">Doctoral advisor</a></th><td class="infobox-data"><a href="/wiki/John_Tate_(mathematician)" title="John Tate (mathematician)">John Tate</a></td></tr><tr><th scope="row" class="infobox-label">Doctoral students</th><td class="infobox-data"><a href="/wiki/Frank_Calegari" title="Frank Calegari">Frank Calegari</a><br /><a href="/wiki/Samit_Dasgupta" title="Samit Dasgupta">Samit Dasgupta</a><br /><a href="/wiki/Bjorn_Poonen" title="Bjorn Poonen">Bjorn Poonen</a></td></tr><tr style="display:none"><td colspan="2"> </td></tr></tbody></table> <p><b>Kenneth Alan Ribet</b> (<span class="rt-commentedText nowrap"><span class="IPA nopopups noexcerpt" lang="en-fonipa"><a href="/wiki/Help:IPA/English" title="Help:IPA/English">/<span style="border-bottom:1px dotted"><span title="/ˈ/: primary stress follows">ˈ</span><span title="'r' in 'rye'">r</span><span title="/ɪ/: 'i' in 'kit'">ɪ</span><span title="'b' in 'buy'">b</span><span title="/ɪ/: 'i' in 'kit'">ɪ</span><span title="'t' in 'tie'">t</span></span>/</a></span></span>; born June 28, 1948) is an American <a href="/wiki/Mathematician" title="Mathematician">mathematician</a> working in <a href="/wiki/Algebraic_number_theory" title="Algebraic number theory">algebraic number theory</a> and <a href="/wiki/Algebraic_geometry" title="Algebraic geometry">algebraic geometry</a>. He is known for the <a href="/wiki/Herbrand%E2%80%93Ribet_theorem" title="Herbrand–Ribet theorem">Herbrand–Ribet theorem</a> and <a href="/wiki/Ribet%27s_theorem" title="Ribet's theorem">Ribet's theorem</a>, which were key ingredients in the proof of <a href="/wiki/Fermat%27s_Last_Theorem" title="Fermat's Last Theorem">Fermat's Last Theorem</a>, as well as for his service as President of the <a href="/wiki/American_Mathematical_Society" title="American Mathematical Society">American Mathematical Society</a> from 2017 to 2019. He is currently a professor of mathematics at the <a href="/wiki/University_of_California,_Berkeley" title="University of California, Berkeley">University of California, Berkeley</a>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Early_life_and_education">Early life and education</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ken_Ribet&action=edit&section=1" title="Edit section: Early life and education"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Kenneth Ribet was born in <a href="/wiki/Brooklyn" title="Brooklyn">Brooklyn</a>, <a href="/wiki/New_York_City" title="New York City">New York</a> to parents David Ribet and Pearl Ribet, both Jewish, on June 28, 1948.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> As a student at <a href="/wiki/Far_Rockaway_High_School" title="Far Rockaway High School">Far Rockaway High School</a>, Ribet was on a competitive mathematics team, but his first field of study was <a href="/wiki/Chemistry" title="Chemistry">chemistry</a>.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p><p>Ribet earned his <a href="/wiki/Bachelor%27s_degree" title="Bachelor's degree">bachelor's degree</a> and <a href="/wiki/Master%27s_degree" title="Master's degree">master's degree</a> from <a href="/wiki/Brown_University" title="Brown University">Brown University</a> in 1969.<sup id="cite_ref-Nomination_3-0" class="reference"><a href="#cite_note-Nomination-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-IAS_4-0" class="reference"><a href="#cite_note-IAS-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> In 1973, Ribet received his Ph.D. from <a href="/wiki/Harvard_University" title="Harvard University">Harvard University</a> under the supervision of <a href="/wiki/John_Tate_(mathematician)" title="John Tate (mathematician)">John Tate</a>.<sup id="cite_ref-Nomination_3-1" class="reference"><a href="#cite_note-Nomination-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-IAS_4-1" class="reference"><a href="#cite_note-IAS-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Career">Career</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ken_Ribet&action=edit&section=2" title="Edit section: Career"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>After receiving his doctoral degree, Ribet taught at <a href="/wiki/Princeton_University" title="Princeton University">Princeton University</a> for three years before spending two years doing research in Paris.<sup id="cite_ref-Nomination_3-2" class="reference"><a href="#cite_note-Nomination-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> In 1978, Ribet joined the Department of Mathematics at the <a href="/wiki/University_of_California,_Berkeley" title="University of California, Berkeley">University of California, Berkeley</a>, where he served three separate terms as supervisor of the department's graduate program, supervisor of the department's undergraduate program, and supervisor of the department's development.<sup id="cite_ref-Nomination_3-3" class="reference"><a href="#cite_note-Nomination-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p><p>Ribet has served as an editor for several mathematics journals, a book series editor for the <a href="/wiki/Cambridge_University_Press" title="Cambridge University Press">Cambridge University Press</a>, and a book series editor for <a href="/wiki/Springer_Science%2BBusiness_Media" title="Springer Science+Business Media">Springer</a>.<sup id="cite_ref-Nomination_3-4" class="reference"><a href="#cite_note-Nomination-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> He also served on the United States National Committee for Mathematics, representing the United States at the <a href="/wiki/International_Mathematical_Union" title="International Mathematical Union">International Mathematical Union</a>, and was the Chair of the Mathematics section of the <a href="/wiki/United_States_National_Academy_of_Sciences" class="mw-redirect" title="United States National Academy of Sciences">National Academy of Sciences</a>.<sup id="cite_ref-Nomination_3-5" class="reference"><a href="#cite_note-Nomination-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p><p>From February 1, 2017 to January 31, 2019, Ribet was <a href="/wiki/American_Mathematical_Society#2001.E2.80.93present" title="American Mathematical Society">President of the American Mathematical Society</a>.<sup id="cite_ref-amspresident_6-0" class="reference"><a href="#cite_note-amspresident-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Research">Research</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ken_Ribet&action=edit&section=3" title="Edit section: Research"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1236090951">.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}</style><div role="note" class="hatnote navigation-not-searchable">Further information: <a href="/wiki/Ribet%27s_theorem" title="Ribet's theorem">Ribet's theorem</a></div> <p>Ribet's contributions in number theory and algebraic geometry were described by <a href="/wiki/Benedict_Gross" title="Benedict Gross">Benedict Gross</a> and <a href="/wiki/Barry_Mazur" title="Barry Mazur">Barry Mazur</a> as being "key to our understanding of the connections between the <a href="/wiki/Modular_form" title="Modular form">theory of modular forms</a> and the <a href="/wiki/%E2%84%93-adic_representation" class="mw-redirect" title="ℓ-adic representation">ℓ-adic representations</a> of the <a href="/wiki/Absolute_Galois_group" title="Absolute Galois group">absolute Galois group</a> of the field of rational numbers."<sup id="cite_ref-Nomination_3-6" class="reference"><a href="#cite_note-Nomination-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p><p>Ribet is credited with paving the way towards <a href="/wiki/Andrew_Wiles" title="Andrew Wiles">Andrew Wiles</a>'s proof of <a href="/wiki/Fermat%27s_Last_Theorem" title="Fermat's Last Theorem">Fermat's Last Theorem</a>. In 1986, Ribet proved that the <i><a href="/wiki/Epsilon_conjecture" class="mw-redirect" title="Epsilon conjecture">epsilon conjecture</a></i> formulated by <a href="/wiki/Jean-Pierre_Serre" title="Jean-Pierre Serre">Jean-Pierre Serre</a> was true, and thereby proved that Fermat's Last Theorem would follow from the <a href="/wiki/Taniyama%E2%80%93Shimura_conjecture" class="mw-redirect" title="Taniyama–Shimura conjecture">Taniyama–Shimura conjecture</a>. Crucially it also followed that the full conjecture was not needed, but a special case, that of <a href="/wiki/Semistable_elliptic_curve" class="mw-redirect" title="Semistable elliptic curve">semistable elliptic curves</a>, sufficed.<sup id="cite_ref-ribet_7-0" class="reference"><a href="#cite_note-ribet-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> An earlier theorem of Ribet's, the <a href="/wiki/Herbrand%E2%80%93Ribet_theorem" title="Herbrand–Ribet theorem">Herbrand–Ribet theorem</a>, is the converse to <a href="/wiki/Jacques_Herbrand" title="Jacques Herbrand">Herbrand</a>'s theorem on the divisibility properties of <a href="/wiki/Bernoulli_number" title="Bernoulli number">Bernoulli numbers</a> and is also related to Fermat's Last Theorem.<sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Awards_and_honors">Awards and honors</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ken_Ribet&action=edit&section=4" title="Edit section: Awards and honors"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Ribet received the <a href="/wiki/Fermat_Prize" title="Fermat Prize">Fermat Prize</a> in 1989 jointly with <a href="/wiki/Abbas_Bahri" title="Abbas Bahri">Abbas Bahri</a>.<sup id="cite_ref-amspresident_6-1" class="reference"><a href="#cite_note-amspresident-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-Nomination_3-7" class="reference"><a href="#cite_note-Nomination-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> He was elected to the <a href="/wiki/American_Academy_of_Arts_and_Sciences" title="American Academy of Arts and Sciences">American Academy of Arts and Sciences</a> in 1997 and the National Academy of Sciences in 2000.<sup id="cite_ref-amspresident_6-2" class="reference"><a href="#cite_note-amspresident-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-Nomination_3-8" class="reference"><a href="#cite_note-Nomination-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-IAS_4-2" class="reference"><a href="#cite_note-IAS-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> In 2012, he became a Fellow of the <a href="/wiki/American_Mathematical_Society" title="American Mathematical Society">American Mathematical Society</a>.<sup id="cite_ref-12" class="reference"><a href="#cite_note-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-amspresident_6-3" class="reference"><a href="#cite_note-amspresident-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> In 2017, Ribet received the <a href="/wiki/Brouwer_Medal" title="Brouwer Medal">Brouwer Medal</a>.<sup id="cite_ref-13" class="reference"><a href="#cite_note-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> </p><p>In 1988, Ribet was inducted as a vigneron d'honneur by the Jurade de <a href="/wiki/Saint-%C3%89milion_AOC" title="Saint-Émilion AOC">Saint-Émilion</a>.<sup id="cite_ref-IAS_4-3" class="reference"><a href="#cite_note-IAS-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> In 1998, Ribet received an honorary doctorate from Brown University.<sup id="cite_ref-IAS_4-4" class="reference"><a href="#cite_note-IAS-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Personal_life">Personal life</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ken_Ribet&action=edit&section=5" title="Edit section: Personal life"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Ribet is married to statistician <a href="/wiki/Lisa_Goldberg" title="Lisa Goldberg">Lisa Goldberg</a>.<sup id="cite_ref-14" class="reference"><a href="#cite_note-14"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ken_Ribet&action=edit&section=6" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-references-wrap mw-references-columns"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://www.jinfo.org/Mathematics_Comp.html">"Jewish Mathematicians"</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Jewish+Mathematicians&rft_id=http%3A%2F%2Fwww.jinfo.org%2FMathematics_Comp.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3AKen+Ribet" class="Z3988"></span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text">Chapey, Dr. Geraldine. <a rel="nofollow" class="external text" href="http://www.rockawave.com/articles/chatting-with-chapey-50/">"Chatting with Chapey: Weber and Ribet Honored"</a>, <i>The Wave</i>, October 21, 2005. Accessed September 28, 2018. "Speaking of successful professionals, Kenneth Ribet is a world renowned scholar.... He is a proud graduate of P.S. 114, J.H.S. 210 and Far Rockaway High School."</span> </li> <li id="cite_note-Nomination-3"><span class="mw-cite-backlink">^ <a href="#cite_ref-Nomination_3-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-Nomination_3-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-Nomination_3-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-Nomination_3-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-Nomination_3-4"><sup><i><b>e</b></i></sup></a> <a href="#cite_ref-Nomination_3-5"><sup><i><b>f</b></i></sup></a> <a href="#cite_ref-Nomination_3-6"><sup><i><b>g</b></i></sup></a> <a href="#cite_ref-Nomination_3-7"><sup><i><b>h</b></i></sup></a> <a href="#cite_ref-Nomination_3-8"><sup><i><b>i</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFGrossMazur2015" class="citation journal cs1"><a href="/wiki/Benedict_Gross" title="Benedict Gross">Gross, Benedict</a>; <a href="/wiki/Barry_Mazur" title="Barry Mazur">Mazur, Barry</a> (September 2015). <a rel="nofollow" class="external text" href="https://www.ams.org/notices/201508/rnoti-p931a.pdf">"Nomination of Kenneth Ribet"</a> <span class="cs1-format">(PDF)</span>. <i><a href="/wiki/Notices_of_the_American_Mathematical_Society" title="Notices of the American Mathematical Society">Notices of the American Mathematical Society</a></i>. <b>62</b> (8): 931–956.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Notices+of+the+American+Mathematical+Society&rft.atitle=Nomination+of+Kenneth+Ribet&rft.volume=62&rft.issue=8&rft.pages=931-956&rft.date=2015-09&rft.aulast=Gross&rft.aufirst=Benedict&rft.au=Mazur%2C+Barry&rft_id=https%3A%2F%2Fwww.ams.org%2Fnotices%2F201508%2Frnoti-p931a.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3AKen+Ribet" class="Z3988"></span></span> </li> <li id="cite_note-IAS-4"><span class="mw-cite-backlink">^ <a href="#cite_ref-IAS_4-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-IAS_4-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-IAS_4-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-IAS_4-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-IAS_4-4"><sup><i><b>e</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.ias.edu/scholars/kenneth-ribet">"Kenneth A. Ribet"</a>. <a href="/wiki/Institute_for_Advanced_Study" title="Institute for Advanced Study">Institute for Advanced Study</a>. 9 December 2019<span class="reference-accessdate">. Retrieved <span class="nowrap">August 4,</span> 2020</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Kenneth+A.+Ribet&rft.pub=Institute+for+Advanced+Study&rft.date=2019-12-09&rft_id=https%3A%2F%2Fwww.ias.edu%2Fscholars%2Fkenneth-ribet&rfr_id=info%3Asid%2Fen.wikipedia.org%3AKen+Ribet" class="Z3988"></span></span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-5">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="https://mathgenealogy.org/id.php?id=32910">Ken Ribet</a> at the <a href="/wiki/Mathematics_Genealogy_Project" title="Mathematics Genealogy Project">Mathematics Genealogy Project</a></span> </li> <li id="cite_note-amspresident-6"><span class="mw-cite-backlink">^ <a href="#cite_ref-amspresident_6-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-amspresident_6-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-amspresident_6-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-amspresident_6-3"><sup><i><b>d</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.ams.org/about-us/presidents/64-ribet">"AMS President #64 Kenneth A. Ribet (2017–2018)"</a>. <a href="/wiki/American_Mathematical_Society" title="American Mathematical Society">American Mathematical Society</a><span class="reference-accessdate">. Retrieved <span class="nowrap">August 4,</span> 2020</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=AMS+President+%2364+Kenneth+A.+Ribet+%282017%E2%80%932018%29&rft.pub=American+Mathematical+Society&rft_id=https%3A%2F%2Fwww.ams.org%2Fabout-us%2Fpresidents%2F64-ribet&rfr_id=info%3Asid%2Fen.wikipedia.org%3AKen+Ribet" class="Z3988"></span></span> </li> <li id="cite_note-ribet-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-ribet_7-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFRibet1990" class="citation journal cs1"><a class="mw-selflink selflink">Ribet, Ken</a> (1990). <a rel="nofollow" class="external text" href="http://math.berkeley.edu/~ribet/Articles/invent_100.pdf">"On modular representations of Gal(<span style="text-decoration:overline;"><b>Q</b></span>/<b>Q</b>) arising from modular forms"</a> <span class="cs1-format">(PDF)</span>. <i>Inventiones Mathematicae</i>. <b>100</b> (2): 431–476. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/1990InMat.100..431R">1990InMat.100..431R</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1007%2FBF01231195">10.1007/BF01231195</a>. <a href="/wiki/MR_(identifier)" class="mw-redirect" title="MR (identifier)">MR</a> <a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet-getitem?mr=1047143">1047143</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a> <a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:120614740">120614740</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Inventiones+Mathematicae&rft.atitle=On+modular+representations+of+Gal%28%3Cspan+style%3D%22text-decoration%3Aoverline%3B%22%3EQ%3C%2Fspan%3E%2FQ%29+arising+from+modular+forms&rft.volume=100&rft.issue=2&rft.pages=431-476&rft.date=1990&rft_id=info%3Adoi%2F10.1007%2FBF01231195&rft_id=https%3A%2F%2Fmathscinet.ams.org%2Fmathscinet-getitem%3Fmr%3D1047143%23id-name%3DMR&rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A120614740%23id-name%3DS2CID&rft_id=info%3Abibcode%2F1990InMat.100..431R&rft.aulast=Ribet&rft.aufirst=Ken&rft_id=http%3A%2F%2Fmath.berkeley.edu%2F~ribet%2FArticles%2Finvent_100.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3AKen+Ribet" class="Z3988"></span></span> </li> <li id="cite_note-8"><span class="mw-cite-backlink"><b><a href="#cite_ref-8">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFRibet1976" class="citation journal cs1">Ribet, Ken (1976). "A modular construction of unramified p-extensions of <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mathbb {Q} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">Q</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbb {Q} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c5909f0b54e4718fa24d5fd34d54189d24a66e9a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.808ex; height:2.509ex;" alt="{\displaystyle \mathbb {Q} }"></span>(μ<sub>p</sub>)". <i><a href="/wiki/Inventiones_Mathematicae" title="Inventiones Mathematicae">Inv. Math.</a></i> <b>34</b> (3): 151–162. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1007%2Fbf01403065">10.1007/bf01403065</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a> <a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:120199454">120199454</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Inv.+Math.&rft.atitle=A+modular+construction+of+unramified+p-extensions+of+MATH+RENDER+ERROR%28%26mu%3B%3Csub%3Ep%3C%2Fsub%3E%29&rft.volume=34&rft.issue=3&rft.pages=151-162&rft.date=1976&rft_id=info%3Adoi%2F10.1007%2Fbf01403065&rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A120199454%23id-name%3DS2CID&rft.aulast=Ribet&rft.aufirst=Ken&rfr_id=info%3Asid%2Fen.wikipedia.org%3AKen+Ribet" class="Z3988"></span></span> </li> <li id="cite_note-9"><span class="mw-cite-backlink"><b><a href="#cite_ref-9">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFWashington1997" class="citation book cs1">Washington, Lawrence C. (1997). <i>Introduction to Cyclotomic Fields</i> (Second ed.). New York: Springer-Verlag. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-387-94762-0" title="Special:BookSources/0-387-94762-0"><bdi>0-387-94762-0</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Introduction+to+Cyclotomic+Fields&rft.place=New+York&rft.edition=Second&rft.pub=Springer-Verlag&rft.date=1997&rft.isbn=0-387-94762-0&rft.aulast=Washington&rft.aufirst=Lawrence+C.&rfr_id=info%3Asid%2Fen.wikipedia.org%3AKen+Ribet" class="Z3988"></span></span> </li> <li id="cite_note-10"><span class="mw-cite-backlink"><b><a href="#cite_ref-10">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFMazurWiles1984" class="citation journal cs1">Mazur, Barry & Wiles, Andrew (1984). "Class Fields of Abelian Extension of <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mathbb {Q} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">Q</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbb {Q} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c5909f0b54e4718fa24d5fd34d54189d24a66e9a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.808ex; height:2.509ex;" alt="{\displaystyle \mathbb {Q} }"></span>". <i>Inv. Math</i>. <b>76</b> (2): 179–330. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/1984InMat..76..179M">1984InMat..76..179M</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1007%2Fbf01388599">10.1007/bf01388599</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a> <a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:122576427">122576427</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Inv.+Math.&rft.atitle=Class+Fields+of+Abelian+Extension+of+MATH+RENDER+ERROR&rft.volume=76&rft.issue=2&rft.pages=179-330&rft.date=1984&rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A122576427%23id-name%3DS2CID&rft_id=info%3Adoi%2F10.1007%2Fbf01388599&rft_id=info%3Abibcode%2F1984InMat..76..179M&rft.aulast=Mazur&rft.aufirst=Barry&rft.au=Wiles%2C+Andrew&rfr_id=info%3Asid%2Fen.wikipedia.org%3AKen+Ribet" class="Z3988"></span></span> </li> <li id="cite_note-11"><span class="mw-cite-backlink"><b><a href="#cite_ref-11">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFCoatesSujatha2006" class="citation book cs1"><a href="/wiki/John_Coates_(mathematician)" class="mw-redirect" title="John Coates (mathematician)">Coates, John</a>; <a href="/wiki/Sujatha_Ramdorai" title="Sujatha Ramdorai">Sujatha, R.</a> (2006). <i>Cyclotomic Fields and Zeta Values</i>. Springer Monographs in Mathematics. <a href="/wiki/Springer-Verlag" class="mw-redirect" title="Springer-Verlag">Springer-Verlag</a>. pp. 3–4. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/3-540-33068-2" title="Special:BookSources/3-540-33068-2"><bdi>3-540-33068-2</bdi></a>. <a href="/wiki/Zbl_(identifier)" class="mw-redirect" title="Zbl (identifier)">Zbl</a> <a rel="nofollow" class="external text" href="https://zbmath.org/?format=complete&q=an:1100.11002">1100.11002</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Cyclotomic+Fields+and+Zeta+Values&rft.series=Springer+Monographs+in+Mathematics&rft.pages=3-4&rft.pub=Springer-Verlag&rft.date=2006&rft_id=https%3A%2F%2Fzbmath.org%2F%3Fformat%3Dcomplete%26q%3Dan%3A1100.11002%23id-name%3DZbl&rft.isbn=3-540-33068-2&rft.aulast=Coates&rft.aufirst=John&rft.au=Sujatha%2C+R.&rfr_id=info%3Asid%2Fen.wikipedia.org%3AKen+Ribet" class="Z3988"></span></span> </li> <li id="cite_note-12"><span class="mw-cite-backlink"><b><a href="#cite_ref-12">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="https://www.ams.org/profession/fellows-list">List of Fellows of the American Mathematical Society</a>, retrieved 2013-07-07.</span> </li> <li id="cite_note-13"><span class="mw-cite-backlink"><b><a href="#cite_ref-13">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://euro-math-soc.eu/news/17/03/2/2017-brouwer-medal-kenneth-ribet">"2017 Brouwer Medal to Kenneth Ribet"</a>. <a href="/wiki/European_Mathematical_Society" title="European Mathematical Society">European Mathematical Society</a>. 2 March 2017<span class="reference-accessdate">. Retrieved <span class="nowrap">August 4,</span> 2020</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=2017+Brouwer+Medal+to+Kenneth+Ribet&rft.pub=European+Mathematical+Society&rft.date=2017-03-02&rft_id=https%3A%2F%2Feuro-math-soc.eu%2Fnews%2F17%2F03%2F2%2F2017-brouwer-medal-kenneth-ribet&rfr_id=info%3Asid%2Fen.wikipedia.org%3AKen+Ribet" class="Z3988"></span></span> </li> <li id="cite_note-14"><span class="mw-cite-backlink"><b><a href="#cite_ref-14">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFJackson2017" class="citation journal cs1">Jackson, Allyn (March 2017). <a rel="nofollow" class="external text" href="https://www.ams.org/journals/notices/201703/rnoti-p229.pdf">"Interview with New AMS President Kenneth A. Ribet"</a> <span class="cs1-format">(PDF)</span>. <i><a href="/wiki/Notices_of_the_American_Mathematical_Society" title="Notices of the American Mathematical Society">Notices of the American Mathematical Society</a></i>. <b>64</b> (3): 229–232. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://doi.org/10.1090%2Fnoti1488">10.1090/noti1488</a></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Notices+of+the+American+Mathematical+Society&rft.atitle=Interview+with+New+AMS+President+Kenneth+A.+Ribet&rft.volume=64&rft.issue=3&rft.pages=229-232&rft.date=2017-03&rft_id=info%3Adoi%2F10.1090%2Fnoti1488&rft.aulast=Jackson&rft.aufirst=Allyn&rft_id=https%3A%2F%2Fwww.ams.org%2Fjournals%2Fnotices%2F201703%2Frnoti-p229.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3AKen+Ribet" class="Z3988"></span></span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ken_Ribet&action=edit&section=7" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><span class="noviewer" typeof="mw:File"><a href="/wiki/File:Commons-logo.svg" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/12px-Commons-logo.svg.png" decoding="async" width="12" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/18px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/24px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></a></span> Media related to <a href="https://commons.wikimedia.org/wiki/Category:Kenneth_Alan_Ribet" class="extiw" title="commons:Category:Kenneth Alan Ribet">Kenneth Alan Ribet</a> at Wikimedia Commons</li> <li><a rel="nofollow" class="external text" href="https://math.berkeley.edu/~ribet/">Ken Ribet's webpage</a></li> <li><a rel="nofollow" class="external text" href="https://math.berkeley.edu/people/faculty/kenneth-ribet">Ken Ribet's faculty page at UC Berkeley</a></li> <li><a rel="nofollow" class="external text" href="https://scholar.google.com/citations?user=U63vv5wAAAAJ">Ken Ribet</a> publications indexed by <a href="/wiki/Google_Scholar" title="Google Scholar">Google Scholar</a></li> <li><a rel="nofollow" class="external text" href="https://www.ams.org/mathscinet/MRAuthorID/147710">Ken Ribet's Author Profile on MathSciNet</a></li></ul> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r1129693374">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist 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.navbox td.hlist dl,.mw-parser-output .navbox td.hlist ol,.mw-parser-output .navbox td.hlist ul{padding:0.125em 0}.mw-parser-output .navbox .navbar{display:block;font-size:100%}.mw-parser-output .navbox-title .navbar{float:left;text-align:left;margin-right:0.5em}body.skin--responsive .mw-parser-output .navbox-image img{max-width:none!important}@media print{body.ns-0 .mw-parser-output .navbox{display:none!important}}</style></div><div role="navigation" class="navbox" aria-labelledby="Presidents_of_the_American_Mathematical_Society" style="padding:3px"><table class="nowraplinks mw-collapsible expanded navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><style data-mw-deduplicate="TemplateStyles:r1239400231">.mw-parser-output .navbar{display:inline;font-size:88%;font-weight:normal}.mw-parser-output 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.navbar{display:none!important}}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:AMS_Presidents" title="Template:AMS Presidents"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:AMS_Presidents" title="Template talk:AMS Presidents"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:AMS_Presidents" title="Special:EditPage/Template:AMS Presidents"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Presidents_of_the_American_Mathematical_Society" style="font-size:114%;margin:0 4em">Presidents of the <a href="/wiki/American_Mathematical_Society" title="American Mathematical Society">American Mathematical Society</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">1888–1900</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><span class="nowrap"><a href="/wiki/John_Howard_Van_Amringe" title="John Howard Van Amringe">John Howard Van Amringe</a> (1888–1890)</span></li> <li><span class="nowrap"><a href="/wiki/Emory_McClintock" title="Emory McClintock">Emory McClintock</a> (1891–1894)</span></li> <li><span class="nowrap"><a href="/wiki/George_William_Hill" title="George William Hill">George William Hill</a> (1895–1896)</span></li> <li><span class="nowrap"><a href="/wiki/Simon_Newcomb" title="Simon Newcomb">Simon Newcomb</a> (1897–1898)</span></li> <li><span class="nowrap"><a href="/wiki/Robert_Simpson_Woodward" title="Robert Simpson Woodward">Robert Simpson Woodward</a> (1899–1900)</span></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">1901–1924</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><span class="nowrap"><a href="/wiki/E._H._Moore" title="E. H. Moore">E. H. Moore</a> (1901–1902)</span></li> <li><span class="nowrap"><a href="/wiki/Thomas_Fiske" title="Thomas Fiske">Thomas Fiske</a> (1903–1904)</span></li> <li><span class="nowrap"><a href="/wiki/William_Fogg_Osgood" title="William Fogg Osgood">William Fogg Osgood</a> (1905–1906)</span></li> <li><span class="nowrap"><a href="/wiki/Henry_Seely_White" title="Henry Seely White">Henry Seely White</a> (1907–1908)</span></li> <li><span class="nowrap"><a href="/wiki/Maxime_B%C3%B4cher" title="Maxime Bôcher">Maxime Bôcher</a> (1909–1910)</span></li> <li><span class="nowrap"><a href="/wiki/Henry_Burchard_Fine" title="Henry Burchard Fine">Henry Burchard Fine</a> (1911–1912)</span></li> <li><span class="nowrap"><a href="/wiki/Edward_Burr_Van_Vleck" title="Edward Burr Van Vleck">Edward Burr Van Vleck</a> (1913–1914)</span></li> <li><span class="nowrap"><a href="/wiki/Ernest_William_Brown" title="Ernest William Brown">Ernest William Brown</a> (1915–1916)</span></li> <li><span class="nowrap"><a href="/wiki/Leonard_Eugene_Dickson" title="Leonard Eugene Dickson">Leonard Eugene Dickson</a> (1917–1918)</span></li> <li><span class="nowrap"><a href="/wiki/Frank_Morley" title="Frank Morley">Frank Morley</a> (1919–1920)</span></li> <li><span class="nowrap"><a href="/wiki/Gilbert_Ames_Bliss" title="Gilbert Ames Bliss">Gilbert Ames Bliss</a> (1921–1922)</span></li> <li><span class="nowrap"><a href="/wiki/Oswald_Veblen" title="Oswald Veblen">Oswald Veblen</a> (1923–1924)</span></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">1925–1950</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><span class="nowrap"><a href="/wiki/George_David_Birkhoff" title="George David Birkhoff">George David Birkhoff</a> (1925–1926)</span></li> <li><span class="nowrap"><a href="/wiki/Virgil_Snyder" title="Virgil Snyder">Virgil Snyder</a> (1927–1928)</span></li> <li><span class="nowrap"><a href="/wiki/Earle_Raymond_Hedrick" title="Earle Raymond Hedrick">Earle Raymond Hedrick</a> (1929–1930)</span></li> <li><span class="nowrap"><a href="/wiki/Luther_P._Eisenhart" title="Luther P. Eisenhart">Luther P. Eisenhart</a> (1931–1932)</span></li> <li><span class="nowrap"><a href="/wiki/Arthur_Byron_Coble" title="Arthur Byron Coble">Arthur Byron Coble</a> (1933–1934)</span></li> <li><span class="nowrap"><a href="/wiki/Solomon_Lefschetz" title="Solomon Lefschetz">Solomon Lefschetz</a> (1935–1936)</span></li> <li><span class="nowrap"><a href="/wiki/Robert_Lee_Moore" title="Robert Lee Moore">Robert Lee Moore</a> (1937–1938)</span></li> <li><span class="nowrap"><a href="/wiki/Griffith_C._Evans" title="Griffith C. Evans">Griffith C. Evans</a> (1939–1940)</span></li> <li><span class="nowrap"><a href="/wiki/Marston_Morse" title="Marston Morse">Marston Morse</a> (1941–1942)</span></li> <li><span class="nowrap"><a href="/wiki/Marshall_H._Stone" title="Marshall H. Stone">Marshall H. Stone</a> (1943–1944)</span></li> <li><span class="nowrap"><a href="/wiki/Theophil_Henry_Hildebrandt" title="Theophil Henry Hildebrandt">Theophil Henry Hildebrandt</a> (1945–1946)</span></li> <li><span class="nowrap"><a href="/wiki/Einar_Hille" title="Einar Hille">Einar Hille</a> (1947–1948)</span></li> <li><span class="nowrap"><a href="/wiki/Joseph_L._Walsh" title="Joseph L. Walsh">Joseph L. Walsh</a> (1949–1950)</span></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">1951–1974</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><span class="nowrap"><a href="/wiki/John_von_Neumann" title="John von Neumann">John von Neumann</a> (1951–1952)</span></li> <li><span class="nowrap"><a href="/wiki/Gordon_Thomas_Whyburn" class="mw-redirect" title="Gordon Thomas Whyburn">Gordon Thomas Whyburn</a> (1953–1954)</span></li> <li><span class="nowrap"><a href="/wiki/Raymond_Louis_Wilder" title="Raymond Louis Wilder">Raymond Louis Wilder</a> (1955–1956)</span></li> <li><span class="nowrap"><a href="/wiki/Richard_Brauer" title="Richard Brauer">Richard Brauer</a> (1957–1958)</span></li> <li><span class="nowrap"><a href="/wiki/Edward_J._McShane" title="Edward J. McShane">Edward J. McShane</a> (1959–1960)</span></li> <li><span class="nowrap"><a href="/wiki/Deane_Montgomery" title="Deane Montgomery">Deane Montgomery</a> (1961–1962)</span></li> <li><span class="nowrap"><a href="/wiki/Joseph_L._Doob" title="Joseph L. Doob">Joseph L. Doob</a> (1963–1964)</span></li> <li><span class="nowrap"><a href="/wiki/Abraham_Adrian_Albert" class="mw-redirect" title="Abraham Adrian Albert">Abraham Adrian Albert</a> (1965–1966)</span></li> <li><span class="nowrap"><a href="/wiki/Charles_B._Morrey_Jr." title="Charles B. Morrey Jr.">Charles B. Morrey Jr.</a> (1967–1968)</span></li> <li><span class="nowrap"><a href="/wiki/Oscar_Zariski" title="Oscar Zariski">Oscar Zariski</a> (1969–1970)</span></li> <li><span class="nowrap"><a href="/wiki/Nathan_Jacobson" title="Nathan Jacobson">Nathan Jacobson</a> (1971–1972)</span></li> <li><span class="nowrap"><a href="/wiki/Saunders_Mac_Lane" title="Saunders Mac Lane">Saunders Mac Lane</a> (1973–1974)</span></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">1975–2000</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><span class="nowrap"><a href="/wiki/Lipman_Bers" title="Lipman Bers">Lipman Bers</a> (1975–1976)</span></li> <li><span class="nowrap"><a href="/wiki/R._H._Bing" title="R. H. Bing">R. H. Bing</a> (1977–1978)</span></li> <li><span class="nowrap"><a href="/wiki/Peter_Lax" title="Peter Lax">Peter Lax</a> (1979–1980)</span></li> <li><span class="nowrap"><a href="/wiki/Andrew_M._Gleason" title="Andrew M. Gleason">Andrew M. Gleason</a> (1981–1982)</span></li> <li><span class="nowrap"><a href="/wiki/Julia_Robinson" title="Julia Robinson">Julia Robinson</a> (1983–1984)</span></li> <li><span class="nowrap"><a href="/wiki/Irving_Kaplansky" title="Irving Kaplansky">Irving Kaplansky</a> (1985–1986)</span></li> <li><span class="nowrap"><a href="/wiki/George_Mostow" title="George Mostow">George Mostow</a> (1987–1988)</span></li> <li><span class="nowrap"><a href="/wiki/William_Browder_(mathematician)" title="William Browder (mathematician)">William Browder</a> (1989–1990)</span></li> <li><span class="nowrap"><a href="/wiki/Michael_Artin" title="Michael Artin">Michael Artin</a> (1991–1992)</span></li> <li><span class="nowrap"><a href="/wiki/Ronald_Graham" title="Ronald Graham">Ronald Graham</a> (1993–1994)</span></li> <li><span class="nowrap"><a href="/wiki/Cathleen_Synge_Morawetz" title="Cathleen Synge Morawetz">Cathleen Synge Morawetz</a> (1995–1996)</span></li> <li><span class="nowrap"><a href="/wiki/Arthur_Jaffe" title="Arthur Jaffe">Arthur Jaffe</a> (1997–1998)</span></li> <li><span class="nowrap"><a href="/wiki/Felix_Browder" title="Felix Browder">Felix Browder</a> (1999–2000)</span></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">2001–2024</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><span class="nowrap"><a href="/wiki/Hyman_Bass" title="Hyman Bass">Hyman Bass</a> (2001–2002)</span></li> <li><span class="nowrap"><a href="/wiki/David_Eisenbud" title="David Eisenbud">David Eisenbud</a> (2003–2004)</span></li> <li><span class="nowrap"><a href="/wiki/James_Arthur_(mathematician)" title="James Arthur (mathematician)">James Arthur</a> (2005–2006)</span></li> <li><span class="nowrap"><a href="/wiki/James_Glimm" title="James Glimm">James Glimm</a> (2007–2008)</span></li> <li><span class="nowrap"><a href="/wiki/George_Andrews_(mathematician)" title="George Andrews (mathematician)">George Andrews</a> (2009–2010)</span></li> <li><span class="nowrap"><a href="/wiki/Eric_Friedlander" title="Eric Friedlander">Eric Friedlander</a> (2011–2012)</span></li> <li><span class="nowrap"><a href="/wiki/David_Vogan" title="David Vogan">David Vogan</a> (2013–2014)</span></li> <li><span class="nowrap"><a href="/wiki/Robert_Bryant_(mathematician)" title="Robert Bryant (mathematician)">Robert Bryant</a> (2015–2016)</span></li> <li><span class="nowrap"><a class="mw-selflink selflink">Ken Ribet</a> (2017–2018)</span></li> <li><span class="nowrap"><a href="/wiki/Jill_Pipher" title="Jill Pipher">Jill Pipher</a> (2019–2020)</span></li> <li><span class="nowrap"><a href="/wiki/Ruth_Charney" title="Ruth Charney">Ruth Charney</a> (2021–2022)</span></li> <li><span class="nowrap"><a href="/wiki/Bryna_Kra" title="Bryna Kra">Bryna Kra</a> (2023–2024)</span></li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"><style data-mw-deduplicate="TemplateStyles:r1038841319">.mw-parser-output .tooltip-dotted{border-bottom:1px dotted;cursor:help}</style></div><div role="navigation" class="navbox authority-control" aria-labelledby="Authority_control_databases_frameless&#124;text-top&#124;10px&#124;alt=Edit_this_at_Wikidata&#124;link=https&#58;//www.wikidata.org/wiki/Q535655#identifiers&#124;class=noprint&#124;Edit_this_at_Wikidata" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="Authority_control_databases_frameless&#124;text-top&#124;10px&#124;alt=Edit_this_at_Wikidata&#124;link=https&#58;//www.wikidata.org/wiki/Q535655#identifiers&#124;class=noprint&#124;Edit_this_at_Wikidata" style="font-size:114%;margin:0 4em"><a href="/wiki/Help:Authority_control" title="Help:Authority control">Authority control databases</a> <span class="mw-valign-text-top noprint" typeof="mw:File/Frameless"><a href="https://www.wikidata.org/wiki/Q535655#identifiers" title="Edit this at Wikidata"><img alt="Edit this at Wikidata" src="//upload.wikimedia.org/wikipedia/en/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/10px-OOjs_UI_icon_edit-ltr-progressive.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/15px-OOjs_UI_icon_edit-ltr-progressive.svg.png 1.5x, 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style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://id.loc.gov/authorities/n80143815">United States</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://catalogue.bnf.fr/ark:/12148/cb123385137">France</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://data.bnf.fr/ark:/12148/cb123385137">BnF data</a></span></li><li><span class="uid"><span class="rt-commentedText tooltip tooltip-dotted" title="Ribet, Kenneth"><a rel="nofollow" class="external text" href="https://aleph.nkp.cz/F/?func=find-c&local_base=aut&ccl_term=ica=uk20211117245&CON_LNG=ENG">Czech Republic</a></span></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://data.bibliotheken.nl/id/thes/p07367138X">Netherlands</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://authority.bibsys.no/authority/rest/authorities/html/90610912">Norway</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://olduli.nli.org.il/F/?func=find-b&local_base=NLX10&find_code=UID&request=987007452154505171">Israel</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Academics</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://ci.nii.ac.jp/author/DA01792822?l=en">CiNii</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://orcid.org/0000-0002-3825-5098">ORCID</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.mathgenealogy.org/id.php?id=32910">Mathematics Genealogy Project</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.scopus.com/authid/detail.uri?authorId=6505956080">Scopus</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://zbmath.org/authors/?q=ai:ribet.kenneth-a">zbMATH</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://scholar.google.com/citations?user=U63vv5wAAAAJ">Google Scholar</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet/MRAuthorID/147710">MathSciNet</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.idref.fr/032335628">IdRef</a></span></li></ul></div></td></tr></tbody></table></div>    </div><noscript><img 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