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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">Ian Agol</div></th></tr><tr><td colspan="2" class="infobox-image"><span typeof="mw:File"><a href="/wiki/File:Ian_Agol,_Aarhus_2012.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a3/Ian_Agol%2C_Aarhus_2012.jpg/250px-Ian_Agol%2C_Aarhus_2012.jpg" decoding="async" width="250" height="256" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a3/Ian_Agol%2C_Aarhus_2012.jpg/375px-Ian_Agol%2C_Aarhus_2012.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a3/Ian_Agol%2C_Aarhus_2012.jpg/500px-Ian_Agol%2C_Aarhus_2012.jpg 2x" data-file-width="3012" data-file-height="3084" /></a></span><div class="infobox-caption">Ian Agol at <a href="/wiki/Aarhus_University" title="Aarhus University">Aarhus University</a>, August 2012</div></td></tr><tr><th scope="row" class="infobox-label">Born</th><td class="infobox-data"><span style="display:none"> (<span class="bday">1970-05-13</span>) </span>May 13, 1970<span class="noprint ForceAgeToShow"> (age 54)</span><br /><div style="display:inline" class="birthplace"><a href="/wiki/Los_Angeles" title="Los Angeles">Los Angeles</a>, <a href="/wiki/California" title="California">California</a>, U.S.</div></td></tr><tr><th scope="row" class="infobox-label">Alma mater</th><td class="infobox-data"><a href="/wiki/California_Institute_of_Technology" title="California Institute of Technology">California Institute of Technology</a><br /><a href="/wiki/University_of_California,_San_Diego" title="University of California, San Diego">University of California, San Diego</a></td></tr><tr><th scope="row" class="infobox-label">Known for</th><td class="infobox-data"><a href="/wiki/Virtually_Haken_conjecture" title="Virtually Haken conjecture">Virtually Haken conjecture</a><br /><a href="/wiki/Freedman%E2%80%93He%E2%80%93Wang_conjecture" class="mw-redirect" title="Freedman–He–Wang conjecture">Freedman–He–Wang conjecture</a><br /><a href="/w/index.php?title=Wise%27s_conjecture&action=edit&redlink=1" class="new" title="Wise's conjecture (page does not exist)">Wise's conjecture</a><br /><a href="/wiki/Marden_tameness_conjecture" class="mw-redirect" title="Marden tameness conjecture">Marden tameness conjecture</a></td></tr><tr><th scope="row" class="infobox-label">Awards</th><td class="infobox-data"><a href="/wiki/Breakthrough_Prize_in_Mathematics" title="Breakthrough Prize in Mathematics">Breakthrough Prize in Mathematics</a> (2016)<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><br /><a href="/wiki/Oswald_Veblen_Prize_in_Geometry" title="Oswald Veblen Prize in Geometry">Veblen Prize in Geometry</a> (2013)<br /><a href="/wiki/Senior_Berwick_Prize" class="mw-redirect" title="Senior Berwick Prize">Senior Berwick Prize</a> (2012)<br /><a href="/wiki/Clay_Research_Award" title="Clay Research Award">Clay Research Award</a> (2009)</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/University_of_California,_Berkeley" title="University of California, Berkeley">University of California, Berkeley</a></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/Michael_Freedman" title="Michael Freedman">Michael Freedman</a></td></tr><tr style="display:none"><td colspan="2"> </td></tr></tbody></table> <p><b>Ian Agol</b><sup class="noprint Inline-Template" style="white-space:nowrap;">[<i><a href="/wiki/Wikipedia:Manual_of_Style/Pronunciation" title="Wikipedia:Manual of Style/Pronunciation"><span title="IPA transcription needed for this term. (March 2024)">needs IPA</span></a></i>]</sup> (born May 13, 1970) is an American <a href="/wiki/Mathematician" title="Mathematician">mathematician</a> who deals primarily with the <a href="/wiki/Topology" title="Topology">topology</a> of <a href="/wiki/3-manifold" title="3-manifold">three-dimensional manifolds</a>.<sup id="cite_ref-MackenzieSociety2006_2-0" class="reference"><a href="#cite_note-MackenzieSociety2006-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Education_and_career">Education and career</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ian_Agol&action=edit&section=1" title="Edit section: Education and career"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Agol graduated with B.S. in mathematics from the <a href="/wiki/California_Institute_of_Technology" title="California Institute of Technology">California Institute of Technology</a> in 1992 and obtained his Ph.D. in 1998 from the <a href="/wiki/University_of_California,_San_Diego" title="University of California, San Diego">University of California, San Diego</a>. At UCSD, his advisor was <a href="/wiki/Michael_Freedman" title="Michael Freedman">Michael Freedman</a> and his thesis was <i>Topology of Hyperbolic 3-Manifolds</i>.<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> He is a professor at the <a href="/wiki/University_of_California,_Berkeley" title="University of California, Berkeley">University of California, Berkeley</a><sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> and a former professor at the <a href="/wiki/University_of_Illinois_at_Chicago" class="mw-redirect" title="University of Illinois at Chicago">University of Illinois at Chicago</a>.<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> </p> <div class="mw-heading mw-heading2"><h2 id="Contributions">Contributions</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ian_Agol&action=edit&section=2" title="Edit section: Contributions"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>In 2004, Agol proved the <a href="/wiki/Marden_tameness_conjecture" class="mw-redirect" title="Marden tameness conjecture">Marden tameness conjecture</a>, a conjecture of <a href="/wiki/Albert_Marden" title="Albert Marden">Albert Marden</a>.<sup id="cite_ref-Clay_6-0" class="reference"><a href="#cite_note-Clay-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> It states that a hyperbolic 3-manifold with finitely generated <a href="/wiki/Fundamental_group" title="Fundamental group">fundamental group</a> is <a href="/wiki/Homeomorphic" class="mw-redirect" title="Homeomorphic">homeomorphic</a> to the interior of a <a href="/wiki/Compact_space" title="Compact space">compact</a> 3-manifold. The conjecture was also independently proven by <a href="/wiki/Danny_Calegari" title="Danny Calegari">Danny Calegari</a> and <a href="/wiki/David_Gabai" title="David Gabai">David Gabai</a>, and implies the <a href="/wiki/Ahlfors_measure_conjecture" title="Ahlfors measure conjecture">Ahlfors measure conjecture</a>.<sup id="cite_ref-Clay_6-1" class="reference"><a href="#cite_note-Clay-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> </p><p>In 2012, he announced a proof of the <a href="/wiki/Virtually_Haken_conjecture" title="Virtually Haken conjecture">virtually Haken conjecture</a>, which was published a year later.<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> The conjecture (now theorem) states that every aspherical 3-manifold is finitely covered by a <a href="/wiki/Haken_manifold" title="Haken manifold">Haken manifold</a>. </p><p>In 2022, he posted on the <a href="/wiki/ArXiv" title="ArXiv">ArXiv</a> a proof of <a href="/wiki/Cameron_Gordon_(mathematician)" title="Cameron Gordon (mathematician)">Cameron Gordon</a>'s 1981 conjecture on <a href="/wiki/Knot_theory" title="Knot theory">knot theory</a> saying that ribbon concordance forms a partial ordering on the set of knots.<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> </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=Ian_Agol&action=edit&section=3" title="Edit section: Awards and honors"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Agol, Calegari, and Gabai received the 2009 <a href="/wiki/Clay_Research_Award" title="Clay Research Award">Clay Research Award</a> for their proof of the Marden tameness conjecture.<sup id="cite_ref-Clay_6-2" class="reference"><a href="#cite_note-Clay-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> </p><p>In 2005, Agol was a <a href="/wiki/Guggenheim_Fellowship" title="Guggenheim Fellowship">Guggenheim Fellow</a>.<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> 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-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup> </p><p>In 2013, Agol was awarded the <a href="/wiki/Oswald_Veblen_Prize_in_Geometry" title="Oswald Veblen Prize in Geometry">Oswald Veblen Prize in Geometry</a>, along with <a href="/wiki/Daniel_Wise_(mathematician)" title="Daniel Wise (mathematician)">Daniel Wise</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> </p><p>In 2015, he was awarded the 2016 <a href="/wiki/Breakthrough_Prize_in_Mathematics" title="Breakthrough Prize in Mathematics">Breakthrough Prize in Mathematics</a>, "for spectacular contributions to <a href="/wiki/Low_dimensional_topology" class="mw-redirect" title="Low dimensional topology">low dimensional topology</a> and <a href="/wiki/Geometric_group_theory" title="Geometric group theory">geometric group theory</a>, including work on the solutions of the <a href="/wiki/Tameness_conjecture" class="mw-redirect" title="Tameness conjecture">tameness</a>, <a href="/wiki/Virtual_Haken_conjecture" class="mw-redirect" title="Virtual Haken conjecture">virtually Haken</a> and <a href="/wiki/Virtually_fibered_conjecture" title="Virtually fibered conjecture">virtual fibering</a> conjectures."<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 2016, he was elected to the <a href="/wiki/National_Academy_of_Sciences" title="National Academy of Sciences">National Academy of Sciences</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="Personal">Personal</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ian_Agol&action=edit&section=4" title="Edit section: Personal"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>His identical twin brother, <a href="/wiki/Eric_Agol" title="Eric Agol">Eric Agol</a>,<sup id="cite_ref-ams2016_15-0" class="reference"><a href="#cite_note-ams2016-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-16" class="reference"><a href="#cite_note-16"><span class="cite-bracket">[</span>16<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-17" class="reference"><a href="#cite_note-17"><span class="cite-bracket">[</span>17<span class="cite-bracket">]</span></a></sup> is an astronomy professor at the <a href="/wiki/University_of_Washington" title="University of Washington">University of Washington</a> in <a href="/wiki/Seattle" title="Seattle">Seattle</a>.<sup id="cite_ref-18" class="reference"><a href="#cite_note-18"><span class="cite-bracket">[</span>18<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=Ian_Agol&action=edit&section=5" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist reflist-columns references-column-width" style="column-width: 30em;"> <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 id="CITEREFLamb2015" class="citation cs2">Lamb, Evelyn (8 November 2015), <a rel="nofollow" class="external text" href="http://www.scientificamerican.com/article/by-solving-the-mysteries-of-shape-shifting-spaces-mathematician-wins-3-million-prize/">"By Solving the Mysteries of Shape-Shifting Spaces, Mathematician Wins $3-Million Prize"</a>, <i><a href="/wiki/Scientific_American" title="Scientific American">Scientific American</a></i></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Scientific+American&rft.atitle=By+Solving+the+Mysteries+of+Shape-Shifting+Spaces%2C+Mathematician+Wins+%243-Million+Prize&rft.date=2015-11-08&rft.aulast=Lamb&rft.aufirst=Evelyn&rft_id=http%3A%2F%2Fwww.scientificamerican.com%2Farticle%2Fby-solving-the-mysteries-of-shape-shifting-spaces-mathematician-wins-3-million-prize%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3AIan+Agol" class="Z3988"></span></span> </li> <li id="cite_note-MackenzieSociety2006-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-MackenzieSociety2006_2-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFMackenzieCipra2006" class="citation book cs1">Mackenzie, Dana; <a href="/wiki/Barry_Arthur_Cipra" title="Barry Arthur Cipra">Cipra, Barry</a> (December 20, 2006). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=e0vzZak6jwAC&pg=PA16"><i>What's happening in the mathematical sciences</i></a>. <a href="/wiki/American_Mathematical_Society" title="American Mathematical Society">American Mathematical Society</a>. pp. 15–16. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-8218-3585-2" title="Special:BookSources/978-0-8218-3585-2"><bdi>978-0-8218-3585-2</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=What%27s+happening+in+the+mathematical+sciences&rft.pages=15-16&rft.pub=American+Mathematical+Society&rft.date=2006-12-20&rft.isbn=978-0-8218-3585-2&rft.aulast=Mackenzie&rft.aufirst=Dana&rft.au=Cipra%2C+Barry&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3De0vzZak6jwAC%26pg%3DPA16&rfr_id=info%3Asid%2Fen.wikipedia.org%3AIan+Agol" class="Z3988"></span></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="https://mathgenealogy.org/id.php?id=39962">Ian Agol</a> at the <a href="/wiki/Mathematics_Genealogy_Project" title="Mathematics Genealogy Project">Mathematics Genealogy Project</a>.</span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-4">^</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="http://math.berkeley.edu/people/faculty/ian-agol">"Ian Agol"</a>. <a href="/wiki/University_of_California,_Berkeley" title="University of California, Berkeley">University of California, Berkeley</a> Department of Mathematics<span class="reference-accessdate">. Retrieved <span class="nowrap">June 25,</span> 2011</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Ian+Agol&rft.pub=University+of+California%2C+Berkeley+Department+of+Mathematics&rft_id=http%3A%2F%2Fmath.berkeley.edu%2Fpeople%2Ffaculty%2Fian-agol&rfr_id=info%3Asid%2Fen.wikipedia.org%3AIan+Agol" 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"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20110616123420/http://www.math.uic.edu/~agol/">"Ian Agol"</a>. <a href="/wiki/University_of_Illinois_at_Chicago" class="mw-redirect" title="University of Illinois at Chicago">University of Illinois at Chicago</a>. Archived from <a rel="nofollow" class="external text" href="http://www.math.uic.edu/~agol/">the original</a> on June 16, 2011<span class="reference-accessdate">. Retrieved <span class="nowrap">June 25,</span> 2011</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Ian+Agol&rft.pub=University+of+Illinois+at+Chicago&rft_id=http%3A%2F%2Fwww.math.uic.edu%2F~agol%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3AIan+Agol" class="Z3988"></span></span> </li> <li id="cite_note-Clay-6"><span class="mw-cite-backlink">^ <a href="#cite_ref-Clay_6-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-Clay_6-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-Clay_6-2"><sup><i><b>c</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://web.archive.org/web/20110626122056/http://www.claymath.org/research_award/">"Clay Research Award"</a>. <a href="/wiki/Clay_Mathematics_Institute" title="Clay Mathematics Institute">Clay Mathematics Institute</a>. Archived from <a rel="nofollow" class="external text" href="http://www.claymath.org/research_award/">the original</a> on June 26, 2011<span class="reference-accessdate">. Retrieved <span class="nowrap">June 25,</span> 2011</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Clay+Research+Award&rft.pub=Clay+Mathematics+Institute&rft_id=http%3A%2F%2Fwww.claymath.org%2Fresearch_award%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3AIan+Agol" class="Z3988"></span></span> </li> <li id="cite_note-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-7">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFAgol2013" class="citation journal cs1">Agol, Ian (2013). <a rel="nofollow" class="external text" href="https://web.archive.org/web/20230326043227/https://www.math.uni-bielefeld.de/documenta/vol-18/33.pdf">"The virtual Haken conjecture. With an appendix by Agol, Daniel Groves, and Jason Manning"</a> <span class="cs1-format">(PDF)</span>. <i><a href="/wiki/Documenta_Mathematica" class="mw-redirect" title="Documenta Mathematica">Documenta Mathematica</a></i>. <b>18</b>: 1045–1087. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.4171%2Fdm%2F421">10.4171/dm/421</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=3104553">3104553</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:255586740">255586740</a>. Archived from <a rel="nofollow" class="external text" href="https://www.math.uni-bielefeld.de/documenta/vol-18/33.pdf">the original</a> <span class="cs1-format">(PDF)</span> on 2023-03-26<span class="reference-accessdate">. Retrieved <span class="nowrap">2019-08-21</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Documenta+Mathematica&rft.atitle=The+virtual+Haken+conjecture.+With+an+appendix+by+Agol%2C+Daniel+Groves%2C+and+Jason+Manning&rft.volume=18&rft.pages=1045-1087&rft.date=2013&rft_id=https%3A%2F%2Fmathscinet.ams.org%2Fmathscinet-getitem%3Fmr%3D3104553%23id-name%3DMR&rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A255586740%23id-name%3DS2CID&rft_id=info%3Adoi%2F10.4171%2Fdm%2F421&rft.aulast=Agol&rft.aufirst=Ian&rft_id=https%3A%2F%2Fwww.math.uni-bielefeld.de%2Fdocumenta%2Fvol-18%2F33.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3AIan+Agol" 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="CITEREFSloman2022" class="citation web cs1">Sloman, Leila (2022-05-18). <a rel="nofollow" class="external text" href="https://www.quantamagazine.org/how-complex-is-a-knot-new-proof-reveals-ranking-system-that-works-20220518/">"How Complex Is a Knot? New Proof Reveals Ranking System That Works"</a>. <i><a href="/wiki/Quanta_Magazine" title="Quanta Magazine">Quanta Magazine</a></i><span class="reference-accessdate">. Retrieved <span class="nowrap">2022-05-20</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Quanta+Magazine&rft.atitle=How+Complex+Is+a+Knot%3F+New+Proof+Reveals+Ranking+System+That+Works.&rft.date=2022-05-18&rft.aulast=Sloman&rft.aufirst=Leila&rft_id=https%3A%2F%2Fwww.quantamagazine.org%2Fhow-complex-is-a-knot-new-proof-reveals-ranking-system-that-works-20220518%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3AIan+Agol" 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="CITEREFAgol2022" class="citation arxiv cs1">Agol, Ian (2022-01-10). 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October 4, 2005. p. C2. Archived from <a rel="nofollow" class="external text" href="https://pqasb.pqarchiver.com/visaliatimesdelta/access/1773118711.html?FMT=CITE&FMTS=CITE:FT&type=current&date=Oct+04%2C+2005&author=&pub=Visalia+Times+-+Delta&desc=OBITUARIES">the original</a> on November 7, 2012.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Visalia+Times-Delta&rft.atitle=Obituaries+%E2%80%93+Alan+Agol&rft.pages=C2&rft.date=2005-10-04&rft_id=https%3A%2F%2Fpqasb.pqarchiver.com%2Fvisaliatimesdelta%2Faccess%2F1773118711.html%3FFMT%3DCITE%26FMTS%3DCITE%3AFT%26type%3Dcurrent%26date%3DOct%2B04%252C%2B2005%26author%3D%26pub%3DVisalia%2BTimes%2B-%2BDelta%26desc%3DOBITUARIES&rfr_id=info%3Asid%2Fen.wikipedia.org%3AIan+Agol" class="Z3988"></span></span> </li> <li id="cite_note-17"><span class="mw-cite-backlink"><b><a href="#cite_ref-17">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation news cs1"><a rel="nofollow" class="external text" href="http://www.legacy.com/obituaries/marinij/obituary.aspx?n=alan-agol&pid=15297933">"Alan Agol"</a>. <i><a href="/wiki/Marin_Independent_Journal" title="Marin Independent Journal">Marin Independent Journal</a></i>. October 5, 2005.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Marin+Independent+Journal&rft.atitle=Alan+Agol&rft.date=2005-10-05&rft_id=http%3A%2F%2Fwww.legacy.com%2Fobituaries%2Fmarinij%2Fobituary.aspx%3Fn%3Dalan-agol%26pid%3D15297933&rfr_id=info%3Asid%2Fen.wikipedia.org%3AIan+Agol" class="Z3988"></span></span> </li> <li id="cite_note-18"><span class="mw-cite-backlink"><b><a href="#cite_ref-18">^</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="http://www.astro.washington.edu/users/agol/">"Eric Agol"</a>. <a href="/wiki/University_of_Washington" title="University of Washington">University of Washington</a> Department of Astronomy<span class="reference-accessdate">. Retrieved <span class="nowrap">June 25,</span> 2011</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Eric+Agol&rft.pub=University+of+Washington+Department+of+Astronomy&rft_id=http%3A%2F%2Fwww.astro.washington.edu%2Fusers%2Fagol%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3AIan+Agol" 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=Ian_Agol&action=edit&section=6" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="https://scholar.google.com/citations?user=prNMjBwAAAAJ">Ian Agol</a> publications indexed by <a href="/wiki/Google_Scholar" title="Google Scholar">Google Scholar</a></li></ul> <div class="navbox-styles"><style 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Prize">Breakthrough Prize</a> laureates</div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Breakthrough_Prize_in_Mathematics" title="Breakthrough Prize in Mathematics">Mathematics</a></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><a href="/wiki/Simon_Donaldson" title="Simon Donaldson">Simon Donaldson</a>, <a href="/wiki/Maxim_Kontsevich" title="Maxim Kontsevich">Maxim Kontsevich</a>, <a href="/wiki/Jacob_Lurie" title="Jacob Lurie">Jacob Lurie</a>, <a href="/wiki/Terence_Tao" title="Terence Tao">Terence Tao</a> and <a href="/wiki/Richard_Taylor_(mathematician)" title="Richard Taylor (mathematician)">Richard Taylor</a> (2015)</li> <li><a class="mw-selflink selflink">Ian Agol</a> (2016)</li> <li><a href="/wiki/Jean_Bourgain" title="Jean Bourgain">Jean Bourgain</a> (2017)</li> <li><a href="/wiki/Christopher_Hacon" title="Christopher Hacon">Christopher Hacon</a>, <a href="/wiki/James_McKernan" title="James McKernan">James McKernan</a> (2018)</li> <li><a href="/wiki/Vincent_Lafforgue" title="Vincent Lafforgue">Vincent Lafforgue</a> (2019)</li> <li><a href="/wiki/Alex_Eskin" title="Alex Eskin">Alex Eskin</a> (2020)</li> <li><a href="/wiki/Martin_Hairer" title="Martin Hairer">Martin Hairer</a> (2021)</li> <li><a href="/wiki/Takuro_Mochizuki" class="mw-redirect" title="Takuro Mochizuki">Takuro Mochizuki</a> (2022)</li> <li><a href="/wiki/Daniel_A._Spielman" class="mw-redirect" title="Daniel A. Spielman">Daniel A. Spielman</a> (2023)</li> <li><a href="/wiki/Simon_Brendle" title="Simon Brendle">Simon Brendle</a> (2024)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Breakthrough_Prize_in_Fundamental_Physics" title="Breakthrough Prize in Fundamental Physics">Fundamental<br />physics</a></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><a href="/wiki/Nima_Arkani-Hamed" title="Nima Arkani-Hamed">Nima Arkani-Hamed</a>, <a href="/wiki/Alan_Guth" title="Alan Guth">Alan Guth</a>, <a href="/wiki/Alexei_Kitaev" title="Alexei Kitaev">Alexei Kitaev</a>, <a href="/wiki/Maxim_Kontsevich" title="Maxim Kontsevich">Maxim Kontsevich</a>, <a href="/wiki/Andrei_Linde" title="Andrei Linde">Andrei Linde</a>, <a href="/wiki/Juan_Mart%C3%ADn_Maldacena" class="mw-redirect" title="Juan Martín Maldacena">Juan Maldacena</a>, <a href="/wiki/Nathan_Seiberg" title="Nathan Seiberg">Nathan Seiberg</a>, <a href="/wiki/Ashoke_Sen" title="Ashoke Sen">Ashoke Sen</a>, <a href="/wiki/Edward_Witten" title="Edward Witten">Edward Witten</a> (2012)</li> <li><i>Special</i>: <a href="/wiki/Stephen_Hawking" title="Stephen Hawking">Stephen Hawking</a>, <a href="/wiki/Peter_Jenni" title="Peter Jenni">Peter Jenni</a>, <a href="/wiki/Fabiola_Gianotti" title="Fabiola Gianotti">Fabiola Gianotti</a> (ATLAS), <a href="/wiki/Michel_Della_Negra" title="Michel Della Negra">Michel Della Negra</a>, <a href="/wiki/Tejinder_Virdee" title="Tejinder Virdee">Tejinder Virdee</a>, <a href="/wiki/Guido_Tonelli" title="Guido Tonelli">Guido Tonelli</a>, <a href="/wiki/Joseph_Incandela" title="Joseph Incandela">Joseph Incandela</a> (CMS) and <a href="/wiki/Lyn_Evans" title="Lyn Evans">Lyn Evans</a> (LHC) (2013)</li> <li><a href="/wiki/Alexander_Markovich_Polyakov" title="Alexander Markovich Polyakov">Alexander Polyakov</a> (2013)</li> <li><a href="/wiki/Michael_Green_(physicist)" title="Michael Green (physicist)">Michael Green</a> and <a href="/wiki/John_Henry_Schwarz" title="John Henry Schwarz">John Henry Schwarz</a> (2014)</li> <li><a href="/wiki/Saul_Perlmutter" title="Saul Perlmutter">Saul Perlmutter</a> and members of the <a href="/wiki/Supernova_Cosmology_Project" title="Supernova Cosmology Project">Supernova Cosmology Project</a>; <a href="/wiki/Brian_Schmidt" title="Brian Schmidt">Brian Schmidt</a>, <a href="/wiki/Adam_Riess" title="Adam Riess">Adam Riess</a> and members of the <a href="/wiki/High-Z_Supernova_Search_Team" title="High-Z Supernova Search Team">High-Z Supernova Team</a> (2015)</li> <li><i>Special</i>: <a href="/wiki/Ronald_Drever" title="Ronald Drever">Ronald Drever</a>, <a href="/wiki/Kip_Thorne" title="Kip Thorne">Kip Thorne</a>, <a href="/wiki/Rainer_Weiss" title="Rainer Weiss">Rainer Weiss</a> and contributors to <a href="/wiki/LIGO" title="LIGO">LIGO</a> project (2016)</li> <li><a href="/wiki/Wang_Yifang" title="Wang Yifang">Yifang Wang</a>, <a href="/wiki/Kam-Biu_Luk" title="Kam-Biu Luk">Kam-Biu Luk</a> and the <a href="/wiki/Daya_Bay_Reactor_Neutrino_Experiment" title="Daya Bay Reactor Neutrino Experiment">Daya Bay team</a>, <a href="/wiki/Atsuto_Suzuki" title="Atsuto Suzuki">Atsuto Suzuki</a> and the <a href="/wiki/Kamioka_Liquid_Scintillator_Antineutrino_Detector" title="Kamioka Liquid Scintillator Antineutrino Detector">KamLAND</a> team, <a href="/wiki/K%C5%8Dichir%C5%8D_Nishikawa" title="Kōichirō Nishikawa">Kōichirō Nishikawa</a> and the <a href="/wiki/K2K_experiment" title="K2K experiment">K2K</a> / <a href="/wiki/T2K_experiment" title="T2K experiment">T2K</a> team, <a href="/wiki/Arthur_B._McDonald" title="Arthur B. McDonald">Arthur B. McDonald</a> and the <a href="/wiki/Sudbury_Neutrino_Observatory" title="Sudbury Neutrino Observatory">Sudbury Neutrino Observatory</a> team, <a href="/wiki/Takaaki_Kajita" title="Takaaki Kajita">Takaaki Kajita</a> and <a href="/wiki/Y%C5%8Dichir%C5%8D_Suzuki" title="Yōichirō Suzuki">Yōichirō Suzuki</a> and the <a href="/wiki/Super-Kamiokande" title="Super-Kamiokande">Super-Kamiokande</a> team (2016)</li> <li><a href="/wiki/Joseph_Polchinski" title="Joseph Polchinski">Joseph Polchinski</a>, <a href="/wiki/Andrew_Strominger" title="Andrew Strominger">Andrew Strominger</a>, <a href="/wiki/Cumrun_Vafa" title="Cumrun Vafa">Cumrun Vafa</a> (2017)</li> <li><a href="/wiki/Charles_L._Bennett" title="Charles L. Bennett">Charles L. Bennett</a>, <a href="/wiki/Gary_Hinshaw" title="Gary Hinshaw">Gary Hinshaw</a>, <a href="/wiki/Norman_Jarosik" title="Norman Jarosik">Norman Jarosik</a>, <a href="/wiki/Lyman_Page" title="Lyman Page">Lyman Page Jr.</a>, <a href="/wiki/David_Spergel" title="David Spergel">David Spergel</a> (2018)</li> <li><i>Special</i>: <a href="/wiki/Jocelyn_Bell_Burnell" title="Jocelyn Bell Burnell">Jocelyn Bell Burnell</a> (2018)</li> <li><a href="/wiki/Charles_L._Kane" title="Charles L. Kane">Charles Kane</a> and <a href="/wiki/Eugene_J._Mele" title="Eugene J. Mele">Eugene Mele</a> (2019)</li> <li><i>Special</i>: <a href="/wiki/Sergio_Ferrara" title="Sergio Ferrara">Sergio Ferrara</a>, <a href="/wiki/Daniel_Z._Freedman" title="Daniel Z. Freedman">Daniel Z. Freedman</a>, <a href="/wiki/Peter_van_Nieuwenhuizen" title="Peter van Nieuwenhuizen">Peter van Nieuwenhuizen</a> (2019)</li> <li><a href="/wiki/The_Event_Horizon_Telescope_Collaboration" class="mw-redirect" title="The Event Horizon Telescope Collaboration">The Event Horizon Telescope Collaboration</a> (2020)</li> <li><a href="/wiki/Eric_Adelberger" class="mw-redirect" title="Eric Adelberger">Eric Adelberger</a>, <a href="/wiki/Jens_H._Gundlach" title="Jens H. Gundlach">Jens H. Gundlach</a> and <a href="/wiki/Blayne_Heckel" title="Blayne Heckel">Blayne Heckel</a> (2021)</li> <li><i>Special</i>: <a href="/wiki/Steven_Weinberg" title="Steven Weinberg">Steven Weinberg</a> (2021)</li> <li><a href="/wiki/Hidetoshi_Katori" title="Hidetoshi Katori">Hidetoshi Katori</a> and <a href="/wiki/Jun_Ye" title="Jun Ye">Jun Ye</a> (2022)</li> <li><a href="/wiki/Charles_H._Bennett_(physicist)" title="Charles H. Bennett (physicist)">Charles H. Bennett</a>, <a href="/wiki/Gilles_Brassard" title="Gilles Brassard">Gilles Brassard</a>, <a href="/wiki/David_Deutsch" title="David Deutsch">David Deutsch</a>, <a href="/wiki/Peter_W._Shor" class="mw-redirect" title="Peter W. Shor">Peter W. Shor</a> (2023)</li> <li><a href="/wiki/John_Cardy" title="John Cardy">John Cardy</a> and <a href="/wiki/Alexander_Zamolodchikov" title="Alexander Zamolodchikov">Alexander Zamolodchikov</a> (2024)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Breakthrough_Prize_in_Life_Sciences" title="Breakthrough Prize in Life Sciences">Life sciences</a></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><a href="/wiki/Cornelia_Bargmann" title="Cornelia Bargmann">Cornelia Bargmann</a>, <a href="/wiki/David_Botstein" title="David Botstein">David Botstein</a>, <a href="/wiki/Lewis_C._Cantley" title="Lewis C. Cantley">Lewis C. Cantley</a>, <a href="/wiki/Hans_Clevers" title="Hans Clevers">Hans Clevers</a>, <a href="/wiki/Titia_de_Lange" title="Titia de Lange">Titia de Lange</a>, <a href="/wiki/Napoleone_Ferrara" title="Napoleone Ferrara">Napoleone Ferrara</a>, <a href="/wiki/Eric_Lander" title="Eric Lander">Eric Lander</a>, <a href="/wiki/Charles_Sawyers" title="Charles Sawyers">Charles Sawyers</a>, <a href="/wiki/Robert_Weinberg_(biologist)" title="Robert Weinberg (biologist)">Robert Weinberg</a>, <a href="/wiki/Shinya_Yamanaka" title="Shinya Yamanaka">Shinya Yamanaka</a> and <a href="/wiki/Bert_Vogelstein" title="Bert Vogelstein">Bert Vogelstein</a> (2013)</li> <li><a href="/wiki/James_P._Allison" title="James P. Allison">James P. Allison</a>, <a href="/wiki/Mahlon_DeLong" title="Mahlon DeLong">Mahlon DeLong</a>, <a href="/wiki/Michael_N._Hall" title="Michael N. Hall">Michael N. Hall</a>, <a href="/wiki/Robert_S._Langer" title="Robert S. Langer">Robert S. Langer</a>, <a href="/wiki/Richard_P._Lifton" title="Richard P. Lifton">Richard P. Lifton</a> and <a href="/wiki/Alexander_Varshavsky" title="Alexander Varshavsky">Alexander Varshavsky</a> (2014)</li> <li><a href="/wiki/Alim_Louis_Benabid" title="Alim Louis Benabid">Alim Louis Benabid</a>, <a href="/wiki/Charles_David_Allis" title="Charles David Allis">Charles David Allis</a>, <a href="/wiki/Victor_Ambros" title="Victor Ambros">Victor Ambros</a>, <a href="/wiki/Gary_Ruvkun" title="Gary Ruvkun">Gary Ruvkun</a>, <a href="/wiki/Jennifer_Doudna" title="Jennifer Doudna">Jennifer Doudna</a> and <a href="/wiki/Emmanuelle_Charpentier" title="Emmanuelle Charpentier">Emmanuelle Charpentier</a> (2015)</li> <li><a href="/wiki/Edward_Boyden" title="Edward Boyden">Edward Boyden</a>, <a href="/wiki/Karl_Deisseroth" title="Karl Deisseroth">Karl Deisseroth</a>, <a href="/wiki/John_Hardy_(geneticist)" title="John Hardy (geneticist)">John Hardy</a>, <a href="/wiki/Helen_Hobbs" title="Helen Hobbs">Helen Hobbs</a> and <a href="/wiki/Svante_P%C3%A4%C3%A4bo" title="Svante Pääbo">Svante Pääbo</a> (2016)</li> <li><a href="/wiki/Stephen_Elledge" title="Stephen Elledge">Stephen J. Elledge</a>, <a href="/wiki/Harry_F._Noller" title="Harry F. Noller">Harry F. Noller</a>, <a href="/wiki/Roel_Nusse" title="Roel Nusse">Roeland Nusse</a>, <a href="/wiki/Yoshinori_Ohsumi" title="Yoshinori Ohsumi">Yoshinori Ohsumi</a>, <a href="/wiki/Huda_Zoghbi" title="Huda Zoghbi">Huda Zoghbi</a> (2017)</li> <li><a href="/wiki/Joanne_Chory" title="Joanne Chory">Joanne Chory</a>, <a href="/wiki/Peter_Walter" title="Peter Walter">Peter Walter</a>, <a href="/wiki/Kazutoshi_Mori" title="Kazutoshi Mori">Kazutoshi Mori</a>, <a href="/wiki/Kim_Nasmyth" title="Kim Nasmyth">Kim Nasmyth</a>, <a href="/wiki/Don_W._Cleveland" title="Don W. Cleveland">Don W. Cleveland</a> (2018)</li> <li><a href="/wiki/C._Frank_Bennett" title="C. Frank Bennett">C. Frank Bennett</a> and <a href="/wiki/Adrian_R._Krainer" class="mw-redirect" title="Adrian R. Krainer">Adrian R. Krainer</a>, <a href="/wiki/Angelika_Amon" title="Angelika Amon">Angelika Amon</a>, <a href="/wiki/Xiaowei_Zhuang" title="Xiaowei Zhuang">Xiaowei Zhuang</a>, <a href="/wiki/Zhijian_Chen" title="Zhijian Chen">Zhijian Chen</a> (2019)</li> <li><a href="/wiki/Jeffrey_M._Friedman" title="Jeffrey M. Friedman">Jeffrey M. Friedman</a>, <a href="/wiki/Franz-Ulrich_Hartl" title="Franz-Ulrich Hartl">Franz-Ulrich Hartl</a>, <a href="/wiki/Arthur_L._Horwich" title="Arthur L. Horwich">Arthur L. Horwich</a>, <a href="/wiki/David_Julius" title="David Julius">David Julius</a>, <a href="/wiki/Virginia_Man-Yee_Lee" title="Virginia Man-Yee Lee">Virginia Man-Yee Lee</a> (2020)</li> <li><a href="/wiki/David_Baker_(biochemist)" title="David Baker (biochemist)">David Baker</a>, <a href="/wiki/Catherine_Dulac" title="Catherine Dulac">Catherine Dulac</a>, <a href="/wiki/Dennis_Lo" title="Dennis Lo">Dennis Lo</a>, <a href="/w/index.php?title=Richard_J._Youle&action=edit&redlink=1" class="new" title="Richard J. Youle (page does not exist)">Richard J. Youle</a><span class="noprint" style="font-size:85%; font-style: normal;"> [<a href="https://de.wikipedia.org/wiki/Richard_J._Youle" class="extiw" title="de:Richard J. Youle">de</a>]</span> (2021)</li> <li><a href="/wiki/Jeffery_W._Kelly" title="Jeffery W. Kelly">Jeffery W. Kelly</a>, <a href="/wiki/Katalin_Karik%C3%B3" title="Katalin Karikó">Katalin Karikó</a>, <a href="/wiki/Drew_Weissman" title="Drew Weissman">Drew Weissman</a>, <a href="/wiki/Shankar_Balasubramanian" title="Shankar Balasubramanian">Shankar Balasubramanian</a>, <a href="/wiki/David_Klenerman" title="David Klenerman">David Klenerman</a> and <a href="/wiki/Pascal_Mayer" title="Pascal Mayer">Pascal Mayer</a> (2022)</li> <li><a href="/wiki/Clifford_P._Brangwynne" title="Clifford P. Brangwynne">Clifford P. Brangwynne</a>, <a href="/wiki/Anthony_A._Hyman" title="Anthony A. Hyman">Anthony A. Hyman</a>, <a href="/wiki/Demis_Hassabis" title="Demis Hassabis">Demis Hassabis</a>, <a href="/wiki/John_M._Jumper" title="John M. Jumper">John Jumper</a>, <a href="/wiki/Emmanuel_Mignot" title="Emmanuel Mignot">Emmanuel Mignot</a>, <a href="/wiki/Masashi_Yanagisawa" title="Masashi Yanagisawa">Masashi Yanagisawa</a> (2023)</li> <li><a href="/wiki/Carl_June" class="mw-redirect" title="Carl June">Carl June</a>, <a href="/wiki/Michel_Sadelain" title="Michel Sadelain">Michel Sadelain</a>, <a href="/wiki/Sabine_Hadida" title="Sabine Hadida">Sabine Hadida</a>, <a href="/wiki/Paul_Negulescu" title="Paul Negulescu">Paul Negulescu</a>, <a href="/w/index.php?title=Fredrick_Van_Goor&action=edit&redlink=1" class="new" title="Fredrick Van Goor (page does not exist)">Fredrick Van Goor</a>, <a href="/w/index.php?title=Thomas_Gasser&action=edit&redlink=1" class="new" title="Thomas Gasser (page does not exist)">Thomas Gasser</a>, <a href="/wiki/Ellen_Sidransky" title="Ellen Sidransky">Ellen Sidransky</a> and <a href="/wiki/Andrew_Singleton" title="Andrew Singleton">Andrew Singleton</a> (2024)</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"></div><div role="navigation" class="navbox" aria-labelledby="Recipients_of_the_Oswald_Veblen_Prize_in_Geometry" style="padding:3px"><table class="nowraplinks mw-collapsible autocollapse 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"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Veblen_Prize_recipients" title="Template:Veblen Prize recipients"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Veblen_Prize_recipients" title="Template talk:Veblen Prize recipients"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Veblen_Prize_recipients" title="Special:EditPage/Template:Veblen Prize recipients"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Recipients_of_the_Oswald_Veblen_Prize_in_Geometry" style="font-size:114%;margin:0 4em">Recipients of the <a href="/wiki/Oswald_Veblen_Prize_in_Geometry" title="Oswald Veblen Prize in Geometry">Oswald Veblen Prize in Geometry</a></div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li>1964 <a href="/wiki/Christos_Papakyriakopoulos" title="Christos Papakyriakopoulos">Christos Papakyriakopoulos</a></li> <li>1964 <a href="/wiki/Raoul_Bott" title="Raoul Bott">Raoul Bott</a></li> <li>1966 <a href="/wiki/Stephen_Smale" title="Stephen Smale">Stephen Smale</a></li> <li>1966 <a href="/wiki/Morton_Brown" title="Morton Brown">Morton Brown</a> and <a href="/wiki/Barry_Mazur" title="Barry Mazur">Barry Mazur</a></li> <li>1971 <a href="/wiki/Robion_Kirby" title="Robion Kirby">Robion Kirby</a></li> <li>1971 <a href="/wiki/Dennis_Sullivan" title="Dennis Sullivan">Dennis Sullivan</a></li> <li>1976 <a href="/wiki/William_Thurston" title="William Thurston">William Thurston</a></li> <li>1976 <a href="/wiki/James_Harris_Simons" class="mw-redirect" title="James Harris Simons">James Harris Simons</a></li> <li>1981 <a href="/wiki/Mikhail_Leonidovich_Gromov" class="mw-redirect" title="Mikhail Leonidovich Gromov">Mikhail Gromov</a></li> <li>1981 <a href="/wiki/Shing-Tung_Yau" title="Shing-Tung Yau">Shing-Tung Yau</a></li> <li>1986 <a href="/wiki/Michael_Freedman" title="Michael Freedman">Michael Freedman</a></li> <li>1991 <a href="/wiki/Andrew_Casson" title="Andrew Casson">Andrew Casson</a> and <a href="/wiki/Clifford_Taubes" title="Clifford Taubes">Clifford Taubes</a></li> <li>1996 <a href="/wiki/Richard_S._Hamilton" title="Richard S. Hamilton">Richard S. Hamilton</a> and <a href="/wiki/Tian_Gang" title="Tian Gang">Gang Tian</a></li> <li>2001 <a href="/wiki/Jeff_Cheeger" title="Jeff Cheeger">Jeff Cheeger</a>, <a href="/wiki/Yakov_Eliashberg" title="Yakov Eliashberg">Yakov Eliashberg</a> and <a href="/wiki/Michael_J._Hopkins" title="Michael J. Hopkins">Michael J. Hopkins</a></li> <li>2004 <a href="/wiki/David_Gabai" title="David Gabai">David Gabai</a></li> <li>2007 <a href="/wiki/Peter_B._Kronheimer" title="Peter B. Kronheimer">Peter Kronheimer</a> and <a href="/wiki/Tomasz_Mrowka" title="Tomasz Mrowka">Tomasz Mrowka</a>; <a href="/wiki/Peter_Ozsv%C3%A1th" title="Peter Ozsváth">Peter Ozsváth</a> and <a href="/wiki/Zolt%C3%A1n_Szab%C3%B3_(mathematician)" title="Zoltán Szabó (mathematician)">Zoltán Szabó</a></li> <li>2010 <a href="/wiki/Tobias_Colding" title="Tobias Colding">Tobias Colding</a> and <a href="/wiki/William_Minicozzi" title="William Minicozzi">William Minicozzi</a>; <a href="/wiki/Paul_Seidel" title="Paul Seidel">Paul Seidel</a></li> <li>2013 <a class="mw-selflink selflink">Ian Agol</a> and <a href="/wiki/Daniel_Wise_(mathematician)" title="Daniel Wise (mathematician)">Daniel Wise</a></li> <li>2016 <a href="/wiki/Fernando_Cod%C3%A1_Marques" title="Fernando Codá Marques">Fernando Codá Marques</a> and <a href="/wiki/Andr%C3%A9_Neves" title="André Neves">André Neves</a></li> <li>2019 <a href="/wiki/Xiuxiong_Chen" title="Xiuxiong Chen">Xiuxiong Chen</a>, <a href="/wiki/Simon_Donaldson" title="Simon Donaldson">Simon Donaldson</a> and <a href="/wiki/Song_Sun" title="Song Sun">Song Sun</a></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"></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/Q1655425#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/Q1655425#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/Q1655425#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, //upload.wikimedia.org/wikipedia/en/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/20px-OOjs_UI_icon_edit-ltr-progressive.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">International</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://viaf.org/viaf/2273166479512807840006">VIAF</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">National</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://d-nb.info/gnd/1269052489">Germany</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://orcid.org/0000-0002-4254-8483">ORCID</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.mathgenealogy.org/id.php?id=39962">Mathematics Genealogy Project</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://zbmath.org/authors/?q=ai:agol.ian">zbMATH</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://scholar.google.com/citations?user=prNMjBwAAAAJ">Google Scholar</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://dblp.org/pid/96/3218">DBLP</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet/MRAuthorID/671767">MathSciNet</a></span></li></ul></div></td></tr></tbody></table></div>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; 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