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href="https://be.wikipedia.org/wiki/%D0%9C%D1%96%D0%BA%D1%96%D0%B0_%D0%A1%D0%B0%D1%82%D0%BE" title="Мікіа Сато – Belarusian" lang="be" hreflang="be" data-title="Мікіа Сато" data-language-autonym="Беларуская" data-language-local-name="Belarusian" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Mikio_Sato" title="Mikio Sato – Catalan" lang="ca" hreflang="ca" data-title="Mikio Sato" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Mikio_Sat%C3%B3" title="Mikio Sató – Czech" lang="cs" hreflang="cs" data-title="Mikio Sató" data-language-autonym="Čeština" data-language-local-name="Czech" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Mikio_Sat%C5%8D" title="Mikio Satō – German" lang="de" hreflang="de" data-title="Mikio Satō" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%9C%CE%AF%CE%BA%CE%B9%CE%BF_%CE%A3%CE%AC%CF%84%CE%BF" title="Μίκιο Σάτο – Greek" lang="el" hreflang="el" data-title="Μίκιο Σάτο" data-language-autonym="Ελληνικά" data-language-local-name="Greek" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Mikio_Sat%C5%8D" title="Mikio Satō – Spanish" lang="es" hreflang="es" data-title="Mikio Satō" 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/Mikio_Sat%C5%8D" title="Mikio Satō – French" lang="fr" hreflang="fr" data-title="Mikio Satō" 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%82%AC%ED%86%A0_%EB%AF%B8%ED%82%A4%EC%98%A4" title="사토 미키오 – Korean" lang="ko" hreflang="ko" data-title="사토 미키오" 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/Mikio_Sat%C5%8D" title="Mikio Satō – Italian" lang="it" hreflang="it" data-title="Mikio Satō" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-arz mw-list-item"><a href="https://arz.wikipedia.org/wiki/%D9%85%D9%8A%D9%83%D9%88_%D8%B3%D8%A7%D8%AA%D9%88" title="ميكو ساتو – Egyptian Arabic" lang="arz" hreflang="arz" data-title="ميكو ساتو" 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/Mikio_Sato" title="Mikio Sato – Dutch" lang="nl" hreflang="nl" data-title="Mikio Sato" 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/%E4%BD%90%E8%97%A4%E5%B9%B9%E5%A4%AB_(%E6%95%B0%E5%AD%A6%E8%80%85)" title="佐藤幹夫 (数学者) – Japanese" lang="ja" hreflang="ja" data-title="佐藤幹夫 (数学者)" 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-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Mikio_Sato" title="Mikio Sato – Uzbek" lang="uz" hreflang="uz" data-title="Mikio Sato" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="Uzbek" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Mikio_Sat%C5%8D" title="Mikio Satō – Portuguese" lang="pt" hreflang="pt" data-title="Mikio Satō" data-language-autonym="Português" data-language-local-name="Portuguese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%A1%D0%B0%D1%82%D0%BE,_%D0%9C%D0%B8%D0%BA%D0%B8%D0%BE" title="Сато, Микио – Russian" lang="ru" hreflang="ru" data-title="Сато, Микио" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Mikio_Sato" title="Mikio Sato – Simple English" lang="en-simple" hreflang="en-simple" data-title="Mikio Sato" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Mikio_Sat%C3%B3" title="Mikio Sató – Slovak" lang="sk" hreflang="sk" data-title="Mikio Sató" data-language-autonym="Slovenčina" data-language-local-name="Slovak" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Mikio_Sat%C5%8D" title="Mikio Satō – Finnish" lang="fi" hreflang="fi" data-title="Mikio Satō" data-language-autonym="Suomi" data-language-local-name="Finnish" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Mikio_Sato" title="Mikio Sato – Swedish" lang="sv" hreflang="sv" data-title="Mikio Sato" data-language-autonym="Svenska" data-language-local-name="Swedish" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Mikio_Sato" title="Mikio Sato – Turkish" lang="tr" hreflang="tr" data-title="Mikio Sato" data-language-autonym="Türkçe" data-language-local-name="Turkish" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E4%BD%90%E8%97%A4%E5%B9%B9%E5%A4%AB" title="佐藤幹夫 – Chinese" lang="zh" hreflang="zh" data-title="佐藤幹夫" data-language-autonym="中文" data-language-local-name="Chinese" 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class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">Japanese mathematician (1928–2023)</div> <p class="mw-empty-elt"> </p> <style data-mw-deduplicate="TemplateStyles:r1257001546">.mw-parser-output .infobox-subbox{padding:0;border:none;margin:-3px;width:auto;min-width:100%;font-size:100%;clear:none;float:none;background-color:transparent}.mw-parser-output .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">Mikio Sato</div></th></tr><tr><th scope="row" class="infobox-label">Born</th><td class="infobox-data"><span style="display:none">(<span class="bday">1928-04-18</span>)</span>18 April 1928<br /><div style="display:inline" class="birthplace">Tokyo, Empire of Japan</div></td></tr><tr><th scope="row" class="infobox-label">Died</th><td class="infobox-data">9 January 2023<span style="display:none">(2023-01-09)</span> (aged 94)<br /><div style="display:inline" class="deathplace"><a href="/wiki/Kyoto" title="Kyoto">Kyoto</a>, Japan<sup id="cite_ref-jiji_1-0" class="reference"><a href="#cite_note-jiji-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup></div></td></tr><tr><th scope="row" class="infobox-label">Alma mater</th><td class="infobox-data"><a href="/wiki/University_of_Tokyo" title="University of Tokyo">University of Tokyo</a> (BSc, 1952; PhD, 1963)</td></tr><tr><th scope="row" class="infobox-label">Known for</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/Bernstein%E2%80%93Sato_polynomial" title="Bernstein–Sato polynomial">Bernstein–Sato polynomials</a></li> <li><a href="/wiki/Sato%E2%80%93Tate_conjecture" title="Sato–Tate conjecture">Sato–Tate conjecture</a></li> <li><a href="/wiki/Algebraic_analysis" title="Algebraic analysis">Algebraic analysis</a></li> <li>Holonomic quantum field</li> <li><a href="/wiki/Hyperfunction" title="Hyperfunction">Hyperfunction</a></li> <li><a href="/wiki/Prehomogeneous_vector_space" title="Prehomogeneous vector space">Prehomogeneous vector space</a></li></ul> </div></td></tr><tr><th scope="row" class="infobox-label">Awards</th><td class="infobox-data"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1126788409"><div class="plainlist"> <ul><li><a href="/wiki/Asahi_Prize_of_Science" class="mw-redirect" title="Asahi Prize of Science">Asahi Prize of Science</a> (1969)</li> <li><a href="/wiki/Japan_Academy_Prize_(academics)" title="Japan Academy Prize (academics)">Japan Academy Prize</a> (1976)</li> <li><a href="/wiki/Person_of_Cultural_Merits" class="mw-redirect" title="Person of Cultural Merits">Person of Cultural Merits</a> (1984)</li> <li><a href="/wiki/Rolf_Schock_Prize" class="mw-redirect" title="Rolf Schock Prize">Rolf Schock Prize</a> in Mathematics (1997)</li> <li><a href="/wiki/Wolf_Prize_in_Mathematics" title="Wolf Prize in Mathematics">Wolf Prize</a> (2003)</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">Mathematics</td></tr><tr><th scope="row" class="infobox-label">Institutions</th><td class="infobox-data"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1126788409"><div class="plainlist"> <ul><li><a href="/wiki/Kyoto_University" title="Kyoto University">Kyoto University</a></li> <li><a href="/wiki/University_of_Tokyo" title="University of Tokyo">University of Tokyo</a></li> <li><a href="/wiki/Osaka_University" title="Osaka University">Osaka University</a></li></ul> </div></td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Thesis" title="Thesis">Thesis</a></th><td class="infobox-data"><i> Theory of hyperfunctions </i> <span style="font-size:97%;">(1963)</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/Shokichi_Iyanaga" title="Shokichi Iyanaga">Shokichi Iyanaga</a></td></tr><tr><th scope="row" class="infobox-label">Doctoral students</th><td class="infobox-data"><style data-mw-deduplicate="TemplateStyles:r1129693374">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol ul,.mw-parser-output .hlist ul dl,.mw-parser-output .hlist ul ol,.mw-parser-output .hlist ul ul{display:inline}.mw-parser-output .hlist .mw-empty-li{display:none}.mw-parser-output .hlist dt::after{content:": "}.mw-parser-output .hlist dd::after,.mw-parser-output .hlist li::after{content:" · ";font-weight:bold}.mw-parser-output .hlist dd:last-child::after,.mw-parser-output .hlist dt:last-child::after,.mw-parser-output .hlist li:last-child::after{content:none}.mw-parser-output .hlist dd dd:first-child::before,.mw-parser-output .hlist dd dt:first-child::before,.mw-parser-output .hlist dd li:first-child::before,.mw-parser-output .hlist dt dd:first-child::before,.mw-parser-output .hlist dt dt:first-child::before,.mw-parser-output .hlist dt li:first-child::before,.mw-parser-output .hlist li dd:first-child::before,.mw-parser-output .hlist li dt:first-child::before,.mw-parser-output .hlist li li:first-child::before{content:" (";font-weight:normal}.mw-parser-output .hlist dd dd:last-child::after,.mw-parser-output .hlist dd dt:last-child::after,.mw-parser-output .hlist dd li:last-child::after,.mw-parser-output .hlist dt dd:last-child::after,.mw-parser-output .hlist dt dt:last-child::after,.mw-parser-output .hlist dt li:last-child::after,.mw-parser-output .hlist li dd:last-child::after,.mw-parser-output .hlist li dt:last-child::after,.mw-parser-output .hlist li li:last-child::after{content:")";font-weight:normal}.mw-parser-output .hlist ol{counter-reset:listitem}.mw-parser-output .hlist ol>li{counter-increment:listitem}.mw-parser-output .hlist ol>li::before{content:" "counter(listitem)"\a0 "}.mw-parser-output .hlist dd ol>li:first-child::before,.mw-parser-output .hlist dt ol>li:first-child::before,.mw-parser-output .hlist li ol>li:first-child::before{content:" ("counter(listitem)"\a0 "}</style><div class="hlist"> <ul><li><a href="/wiki/Masaki_Kashiwara" title="Masaki Kashiwara">Masaki Kashiwara</a></li> <li><a href="/wiki/Takahiro_Kawai" title="Takahiro Kawai">Takahiro Kawai</a></li></ul> </div></td></tr><tr style="display:none"><td colspan="2"> </td></tr></tbody></table> <p><b>Mikio Sato</b><span style="font-weight: normal"> (<a href="/wiki/Japanese_language" title="Japanese language">Japanese</a>: <span lang="ja">佐藤幹夫</span>, <a href="/wiki/Hepburn_romanization" title="Hepburn romanization">Hepburn</a>: <span title="Hepburn transliteration"><i lang="ja-Latn">Satō Mikio</i></span>, 18 April 1928 – 9 January 2023)</span> was a Japanese mathematician known for founding the fields of <a href="/wiki/Algebraic_analysis" title="Algebraic analysis">algebraic analysis</a>, <a href="/wiki/Hyperfunction" title="Hyperfunction">hyperfunctions</a>, and holonomic quantum fields. He was a professor at the <a href="/wiki/Research_Institute_for_Mathematical_Sciences" title="Research Institute for Mathematical Sciences">Research Institute for Mathematical Sciences</a> in Kyoto. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Biography">Biography</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mikio_Sato&action=edit&section=1" title="Edit section: Biography"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Born in Tokyo on 18 April 1928,<sup id="cite_ref-mactutor_2-0" class="reference"><a href="#cite_note-mactutor-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> Sato studied at the <a href="/wiki/University_of_Tokyo" title="University of Tokyo">University of Tokyo</a>, receiving his BSc in 1952 and PhD under <a href="/wiki/Shokichi_Iyanaga" title="Shokichi Iyanaga">Shokichi Iyanaga</a> in 1963.<sup id="cite_ref-notices_3-0" class="reference"><a href="#cite_note-notices-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup><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> He was a professor at <a href="/wiki/Osaka_University" title="Osaka University">Osaka University</a> and the <a href="/wiki/University_of_Tokyo" title="University of Tokyo">University of Tokyo</a> before moving to the <a href="/wiki/Research_Institute_for_Mathematical_Sciences" title="Research Institute for Mathematical Sciences">Research Institute for Mathematical Sciences</a> (RIMS) attached to <a href="/wiki/Kyoto_University" title="Kyoto University">Kyoto University</a> in 1970.<sup id="cite_ref-notices_3-1" class="reference"><a href="#cite_note-notices-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> He was director of RIMS from 1987 to 1991.<sup id="cite_ref-notices_3-2" class="reference"><a href="#cite_note-notices-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p><p>His disciples include <a href="/wiki/Masaki_Kashiwara" title="Masaki Kashiwara">Masaki Kashiwara</a>, <a href="/wiki/Takahiro_Kawai" title="Takahiro Kawai">Takahiro Kawai</a>, <a href="/wiki/Tetsuji_Miwa" title="Tetsuji Miwa">Tetsuji Miwa</a>, as well as <a href="/wiki/Michio_Jimbo" title="Michio Jimbo">Michio Jimbo</a>, who have been called the "Sato School".<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><p>Sato died at home in <a href="/wiki/Kyoto" title="Kyoto">Kyoto</a> on 9 January 2023, aged 94.<sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-jiji_1-1" class="reference"><a href="#cite_note-jiji-1"><span class="cite-bracket">[</span>1<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=Mikio_Sato&action=edit&section=2" title="Edit section: Research"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Sato was known for his innovative work in a number of fields, such as <a href="/wiki/Prehomogeneous_vector_space" title="Prehomogeneous vector space">prehomogeneous vector spaces</a> and <a href="/wiki/Bernstein%E2%80%93Sato_polynomial" title="Bernstein–Sato polynomial">Bernstein–Sato polynomials</a>; and particularly for his hyperfunction theory.<sup id="cite_ref-notices_3-3" class="reference"><a href="#cite_note-notices-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> This theory initially appeared as an extension of the ideas of <a href="/wiki/Distribution_(mathematics)" title="Distribution (mathematics)">distribution</a> theory; it was soon connected to the <a href="/wiki/Local_cohomology" title="Local cohomology">local cohomology</a> theory of <a href="/wiki/Grothendieck" class="mw-redirect" title="Grothendieck">Grothendieck</a>, for which it was an independent realisation in terms of <a href="/wiki/Sheaf_(mathematics)" title="Sheaf (mathematics)">sheaf</a> theory. Further, it led to the theory of <a href="/wiki/Microfunction" class="mw-redirect" title="Microfunction">microfunctions</a> and <a href="/wiki/Microlocal_analysis" title="Microlocal analysis">microlocal analysis</a> in linear <a href="/wiki/Partial_differential_equation" title="Partial differential equation">partial differential equations</a> and <a href="/wiki/Harmonic_analysis" title="Harmonic analysis">Fourier theory</a>, such as for wave fronts, and ultimately to the current developments in <a href="/wiki/D-module" title="D-module"><i>D</i>-module</a> theory.<sup id="cite_ref-mactutor_2-1" class="reference"><a href="#cite_note-mactutor-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup><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> Part of Sato's hyperfunction theory is the modern theory of <a href="/wiki/Holonomic_system" class="mw-redirect" title="Holonomic system">holonomic systems</a>: PDEs overdetermined to the point of having finite-dimensional spaces of solutions (<a href="/wiki/Algebraic_analysis" title="Algebraic analysis">algebraic analysis</a>).<sup id="cite_ref-notices_3-4" class="reference"><a href="#cite_note-notices-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p><p>In theoretical physics, Sato wrote a series of papers in the 1970s with <a href="/wiki/Michio_Jimbo" title="Michio Jimbo">Michio Jimbo</a> and <a href="/wiki/Tetsuji_Miwa" title="Tetsuji Miwa">Tetsuji Miwa</a> that developed the theory of holonomic quantum fields.<sup id="cite_ref-mactutor_2-2" class="reference"><a href="#cite_note-mactutor-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> When Sato was awarded the 2002–2003 <a href="/wiki/Wolf_Prize_in_Mathematics" title="Wolf Prize in Mathematics">Wolf Prize in Mathematics</a>, this work was described as "a far-reaching extension of the mathematical formalism underlying the two-dimensional Ising model, and introduced along the way the famous tau functions."<sup id="cite_ref-mactutor_2-3" class="reference"><a href="#cite_note-mactutor-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-notices_3-5" class="reference"><a href="#cite_note-notices-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> Sato also contributed basic work to non-linear <a href="/wiki/Soliton" title="Soliton">soliton</a> theory, with the use of <a href="/wiki/Grassmannian" title="Grassmannian">Grassmannians</a> of infinite dimension.<sup id="cite_ref-notices_3-6" class="reference"><a href="#cite_note-notices-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p><p>In <a href="/wiki/Number_theory" title="Number theory">number theory</a>, he and <a href="/wiki/John_Tate_(mathematician)" title="John Tate (mathematician)">John Tate</a> independently posed the <a href="/wiki/Sato%E2%80%93Tate_conjecture" title="Sato–Tate conjecture">Sato–Tate conjecture</a> on <a href="/wiki/L-function" title="L-function"><i>L</i>-functions</a> around 1960.<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> </p><p><a href="/wiki/Pierre_Schapira_(mathematician)" title="Pierre Schapira (mathematician)">Pierre Schapira</a> remarked, "Looking back, 40 years later, we realize that Sato's approach to mathematics is not so different from that of Grothendieck, that Sato did have the incredible temerity to treat <a href="/wiki/Mathematical_analysis" title="Mathematical analysis">analysis</a> as <a href="/wiki/Algebraic_geometry" title="Algebraic geometry">algebraic geometry</a> and was also able to build the algebraic and geometric tools adapted to his problems."<sup id="cite_ref-Schapira_2007_9-0" class="reference"><a href="#cite_note-Schapira_2007-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Awards_and_honours">Awards and honours</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mikio_Sato&action=edit&section=3" title="Edit section: Awards and honours"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Sato received the 1969 <a href="/wiki/Asahi_Prize_of_Science" class="mw-redirect" title="Asahi Prize of Science">Asahi Prize of Science</a>, the 1976 <a href="/wiki/Japan_Academy_Prize_(academics)" title="Japan Academy Prize (academics)">Japan Academy Prize</a>, the 1984 <a href="/wiki/Person_of_Cultural_Merits" class="mw-redirect" title="Person of Cultural Merits">Person of Cultural Merits</a> award of the <a href="/wiki/Japanese_Education_Ministry" class="mw-redirect" title="Japanese Education Ministry">Japanese Education Ministry</a>, the 1997 <a href="/wiki/Schock_Prize" class="mw-redirect" title="Schock Prize">Schock Prize</a>, and the 2002–2003 <a href="/wiki/Wolf_Prize_in_Mathematics" title="Wolf Prize in Mathematics">Wolf Prize in Mathematics</a>.<sup id="cite_ref-notices_3-7" class="reference"><a href="#cite_note-notices-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p><p>Sato was a plenary speaker at the 1983 <a href="/wiki/International_Congress_of_Mathematicians" title="International Congress of Mathematicians">International Congress of Mathematicians</a> in <a href="/wiki/Warsaw" title="Warsaw">Warsaw</a>.<sup id="cite_ref-notices_3-8" class="reference"><a href="#cite_note-notices-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> He was elected a foreign member 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> in 1993.<sup id="cite_ref-notices_3-9" class="reference"><a href="#cite_note-notices-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Notes">Notes</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mikio_Sato&action=edit&section=4" title="Edit section: Notes"><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"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-jiji-1"><span class="mw-cite-backlink">^ <a href="#cite_ref-jiji_1-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-jiji_1-1"><sup><i><b>b</b></i></sup></a></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 cs2"><a rel="nofollow" class="external text" href="https://www.jiji.com/jc/article?k=2023011600560">"佐藤幹夫氏死去（京都大名誉教授）"</a>, <i>時事通信社</i>, 18 January 2023</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=%E6%99%82%E4%BA%8B%E9%80%9A%E4%BF%A1%E7%A4%BE&rft.atitle=%E4%BD%90%E8%97%A4%E5%B9%B9%E5%A4%AB%E6%B0%8F%E6%AD%BB%E5%8E%BB%EF%BC%88%E4%BA%AC%E9%83%BD%E5%A4%A7%E5%90%8D%E8%AA%89%E6%95%99%E6%8E%88%EF%BC%89&rft.date=2023-01-18&rft_id=https%3A%2F%2Fwww.jiji.com%2Fjc%2Farticle%3Fk%3D2023011600560&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMikio+Sato" class="Z3988"></span></span> </li> <li id="cite_note-mactutor-2"><span class="mw-cite-backlink">^ <a href="#cite_ref-mactutor_2-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-mactutor_2-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-mactutor_2-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-mactutor_2-3"><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://mathshistory.st-andrews.ac.uk/Biographies/Sato/">"Mikio Sato – Biography"</a>. <i><a href="/wiki/MacTutor_History_of_Mathematics_archive" class="mw-redirect" title="MacTutor History of Mathematics archive">MacTutor History of Mathematics archive</a></i>. <a href="/wiki/University_of_St_Andrews" title="University of St Andrews">University of St Andrews</a><span class="reference-accessdate">. Retrieved <span class="nowrap">15 January</span> 2023</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=MacTutor+History+of+Mathematics+archive&rft.atitle=Mikio+Sato+%E2%80%93+Biography&rft_id=https%3A%2F%2Fmathshistory.st-andrews.ac.uk%2FBiographies%2FSato%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMikio+Sato" class="Z3988"></span></span> </li> <li id="cite_note-notices-3"><span class="mw-cite-backlink">^ <a href="#cite_ref-notices_3-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-notices_3-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-notices_3-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-notices_3-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-notices_3-4"><sup><i><b>e</b></i></sup></a> <a href="#cite_ref-notices_3-5"><sup><i><b>f</b></i></sup></a> <a href="#cite_ref-notices_3-6"><sup><i><b>g</b></i></sup></a> <a href="#cite_ref-notices_3-7"><sup><i><b>h</b></i></sup></a> <a href="#cite_ref-notices_3-8"><sup><i><b>i</b></i></sup></a> <a href="#cite_ref-notices_3-9"><sup><i><b>j</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFJackson2003" class="citation journal cs1">Jackson, Allyn (2003). <a rel="nofollow" class="external text" href="https://www.ams.org/notices/200305/comm-wolf.pdf">"Sato and Tate Receive 2002–2003 Wolf Prize"</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>50</b> (5): 569–570.</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=Sato+and+Tate+Receive+2002%E2%80%932003+Wolf+Prize&rft.volume=50&rft.issue=5&rft.pages=569-570&rft.date=2003&rft.aulast=Jackson&rft.aufirst=Allyn&rft_id=https%3A%2F%2Fwww.ams.org%2Fnotices%2F200305%2Fcomm-wolf.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMikio+Sato" class="Z3988"></span></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"><a rel="nofollow" class="external text" href="https://mathgenealogy.org/id.php?id=19282">Mikio Sato</a> at the <a href="/wiki/Mathematics_Genealogy_Project" title="Mathematics Genealogy Project">Mathematics Genealogy Project</a></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 id="CITEREFMcCoy2011" class="citation journal cs1">McCoy, Barry M. (24 March 2011). <a rel="nofollow" class="external text" href="https://ems.press/journals/prims/articles/4467">"Mikio Sato and Mathematical Physics"</a>. <i>Publications of the Research Institute for Mathematical Sciences</i>. <b>47</b> (1): 19–28. <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/10.2977%2Fprims%2F30">10.2977/prims/30</a></span>. <a href="/wiki/ISSN_(identifier)" class="mw-redirect" title="ISSN (identifier)">ISSN</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/issn/0034-5318">0034-5318</a><span class="reference-accessdate">. Retrieved <span class="nowrap">16 January</span> 2023</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Publications+of+the+Research+Institute+for+Mathematical+Sciences&rft.atitle=Mikio+Sato+and+Mathematical+Physics&rft.volume=47&rft.issue=1&rft.pages=19-28&rft.date=2011-03-24&rft_id=info%3Adoi%2F10.2977%2Fprims%2F30&rft.issn=0034-5318&rft.aulast=McCoy&rft.aufirst=Barry+M.&rft_id=https%3A%2F%2Fems.press%2Fjournals%2Fprims%2Farticles%2F4467&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMikio+Sato" class="Z3988"></span></span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-6">^</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://www.kurims.kyoto-u.ac.jp/en/notice3.html">"The untimely passing of Professor Emeritus Sato Mikio"</a><span class="reference-accessdate">. Retrieved <span class="nowrap">13 January</span> 2023</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=The+untimely+passing+of+Professor+Emeritus+Sato+Mikio&rft_id=https%3A%2F%2Fwww.kurims.kyoto-u.ac.jp%2Fen%2Fnotice3.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMikio+Sato" class="Z3988"></span>, Notice: Research Institute for Mathematical Sciences, Kyoto University (2023/01/13)</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="CITEREFKashiwaraKawai2011" class="citation journal cs1"><a href="/wiki/Masaki_Kashiwara" title="Masaki Kashiwara">Kashiwara, Masaki</a>; <a href="/wiki/Takahiro_Kawai" title="Takahiro Kawai">Kawai, Takahiro</a> (2011). <a rel="nofollow" class="external text" href="http://www.ems-ph.org/journals/show_pdf.php?issn=0034-5318&vol=47&iss=1&rank=2">"Professor Mikio Sato and Microlocal Analysis"</a>. <i>Publications of the Research Institute for Mathematical Sciences</i>. <b>47</b> (1): 11–17. <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/10.2977%2FPRIMS%2F29">10.2977/PRIMS/29</a></span> – via EMS-PH.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Publications+of+the+Research+Institute+for+Mathematical+Sciences&rft.atitle=Professor+Mikio+Sato+and+Microlocal+Analysis&rft.volume=47&rft.issue=1&rft.pages=11-17&rft.date=2011&rft_id=info%3Adoi%2F10.2977%2FPRIMS%2F29&rft.aulast=Kashiwara&rft.aufirst=Masaki&rft.au=Kawai%2C+Takahiro&rft_id=http%3A%2F%2Fwww.ems-ph.org%2Fjournals%2Fshow_pdf.php%3Fissn%3D0034-5318%26vol%3D47%26iss%3D1%26rank%3D2&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMikio+Sato" 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">It is mentioned in J. Tate, <i>Algebraic cycles and poles of zeta functions</i> in the volume (O. F. G. Schilling, editor), <i>Arithmetical Algebraic Geometry</i>, pages 93–110 (1965).</span> </li> <li id="cite_note-Schapira_2007-9"><span class="mw-cite-backlink"><b><a href="#cite_ref-Schapira_2007_9-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSchapira2007" class="citation journal cs1">Schapira, Pierre (February 2007). <a rel="nofollow" class="external text" href="https://web.archive.org/web/20200928023318/https://webusers.imj-prg.fr/~pierre.schapira/mispapers/Sato.pdf">"Mikio Sato, a Visionary of Mathematics"</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>54</b> (2): 243–245. Archived from <a rel="nofollow" class="external text" href="https://www.ams.org/notices/200702/comm-schapira.pdf">the original</a> <span class="cs1-format">(PDF)</span> on 28 September 2020<span class="reference-accessdate">. Retrieved <span class="nowrap">16 January</span> 2023</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=Mikio+Sato%2C+a+Visionary+of+Mathematics&rft.volume=54&rft.issue=2&rft.pages=243-245&rft.date=2007-02&rft.aulast=Schapira&rft.aufirst=Pierre&rft_id=https%3A%2F%2Fwww.ams.org%2Fnotices%2F200702%2Fcomm-schapira.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMikio+Sato" class="Z3988"></span></span> </li> </ol></div></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=Mikio_Sato&action=edit&section=5" 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://web.archive.org/web/20061214094433/http://www.math.uu.se/~kiselman/sato1997.html">Schock Prize citation</a></li> <li><a rel="nofollow" class="external text" href="https://www.ams.org/notices/200702/fea-sato-2.pdf">1990 Interview</a> in the <i><a href="/wiki/AMS_Notices" class="mw-redirect" title="AMS Notices">AMS Notices</a></i></li> <li><a rel="nofollow" class="external text" href="https://www.ams.org/notices/200702/comm-schapira.pdf">Mikio Sato, a Visionary of Mathematics</a> by Pierre Schapira</li> <li><a rel="nofollow" class="external text" href="https://www.ams.org/journals/notices/202405/noti2931/noti2931.html"><i>Memories of Mikio Sato (1928–2023)</i></a>, <a href="/wiki/AMS_Notices" class="mw-redirect" title="AMS Notices">AMS Notices</a>, (May 2024)</li></ul> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><style data-mw-deduplicate="TemplateStyles:r1236075235">.mw-parser-output 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Rawls">John Rawls</a> (1999)</li> <li><a href="/wiki/Saul_Kripke" title="Saul Kripke">Saul Kripke</a> (2001)</li> <li><a href="/wiki/Solomon_Feferman" title="Solomon Feferman">Solomon Feferman</a> (2003)</li> <li><a href="/wiki/Jaakko_Hintikka" title="Jaakko Hintikka">Jaakko Hintikka</a> (2005)</li> <li><a href="/wiki/Thomas_Nagel" title="Thomas Nagel">Thomas Nagel</a> (2008)</li> <li><a href="/wiki/Hilary_Putnam" title="Hilary Putnam">Hilary Putnam</a> (2011)</li> <li><a href="/wiki/Derek_Parfit" title="Derek Parfit">Derek Parfit</a> (2014)</li> <li><a href="/wiki/Ruth_Millikan" title="Ruth Millikan">Ruth Millikan</a> (2017)</li> <li><a href="/wiki/Saharon_Shelah" title="Saharon Shelah">Saharon Shelah</a> (2018)</li> <li><a href="/wiki/Dag_Prawitz" title="Dag Prawitz">Dag Prawitz</a> / <a href="/wiki/Per_Martin-L%C3%B6f" title="Per Martin-Löf">Per Martin-Löf</a> (2020)</li> <li><a href="/wiki/David_Kaplan_(philosopher)" title="David Kaplan (philosopher)">David Kaplan</a> (2022)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="background:#d3d3d3;;width:1%">Mathematics</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/Elias_M._Stein" title="Elias M. Stein">Elias M. Stein</a> (1993)</li> <li><a href="/wiki/Andrew_Wiles" title="Andrew Wiles">Andrew Wiles</a> (1995)</li> <li><a class="mw-selflink selflink">Mikio Sato</a> (1997)</li> <li><a href="/wiki/Yuri_I._Manin" class="mw-redirect" title="Yuri I. Manin">Yuri I. Manin</a> (1999)</li> <li><a href="/wiki/Elliott_H._Lieb" title="Elliott H. Lieb">Elliott H. Lieb</a> (2001)</li> <li><a href="/wiki/Richard_P._Stanley" title="Richard P. Stanley">Richard P. Stanley</a> (2003)</li> <li><a href="/wiki/Luis_Caffarelli" title="Luis Caffarelli">Luis Caffarelli</a> (2005)</li> <li><a href="/wiki/Endre_Szemer%C3%A9di" title="Endre Szemerédi">Endre Szemerédi</a> (2008)</li> <li><a href="/wiki/Michael_Aschbacher" title="Michael Aschbacher">Michael Aschbacher</a> (2011)</li> <li><a href="/wiki/Yitang_Zhang" title="Yitang Zhang">Yitang Zhang</a> (2014)</li> <li><a href="/wiki/Richard_Schoen" title="Richard Schoen">Richard Schoen</a> (2017)</li> <li><a href="/wiki/Ronald_Coifman" title="Ronald Coifman">Ronald Coifman</a> (2018)</li> <li><a href="/wiki/Nikolai_G._Makarov" class="mw-redirect" title="Nikolai G. Makarov">Nikolai G. Makarov</a> (2020)</li> <li><a href="/wiki/Jonathan_Pila" title="Jonathan Pila">Jonathan Pila</a> (2022)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="background:#d3d3d3;;width:1%">Visual arts</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/Rafael_Moneo" title="Rafael Moneo">Rafael Moneo</a> (1993)</li> <li><a href="/wiki/Claes_Oldenburg" title="Claes Oldenburg">Claes Oldenburg</a> (1995)</li> <li><a href="/wiki/Torsten_Andersson" title="Torsten Andersson">Torsten Andersson</a> (1997)</li> <li><a href="/wiki/Herzog_%26_de_Meuron" title="Herzog & de Meuron">Herzog & de Meuron </a> (1999)</li> <li><a href="/wiki/Giuseppe_Penone" title="Giuseppe Penone">Giuseppe Penone</a> (2001)</li> <li><a href="/wiki/Susan_Rothenberg" title="Susan Rothenberg">Susan Rothenberg</a> (2003)</li> <li><a href="/wiki/SANAA" title="SANAA">SANAA</a> / <a href="/wiki/Kazuyo_Sejima" title="Kazuyo Sejima">Kazuyo Sejima</a> + <a href="/wiki/Ryue_Nishizawa" title="Ryue Nishizawa">Ryue Nishizawa</a> (2005)</li> <li><a href="/wiki/Mona_Hatoum" title="Mona Hatoum">Mona Hatoum</a> (2008)</li> <li><a href="/wiki/Marlene_Dumas" title="Marlene Dumas">Marlene Dumas</a> (2011)</li> <li><a href="/wiki/Anne_Lacaton" title="Anne Lacaton">Anne Lacaton</a> / <a href="/wiki/Jean-Philippe_Vassal" title="Jean-Philippe Vassal">Jean-Philippe Vassal</a> (2014)</li> <li><a href="/wiki/Doris_Salcedo" title="Doris Salcedo">Doris Salcedo</a> (2017)</li> <li><a href="/wiki/Andrea_Branzi" title="Andrea Branzi">Andrea Branzi</a> (2018)</li> <li><a href="/wiki/Francis_Al%C3%BFs" title="Francis Alÿs">Francis Alÿs</a> (2020)</li> <li><a href="/wiki/Rem_Koolhaas" title="Rem Koolhaas">Rem Koolhaas</a> (2022)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="background:#d3d3d3;;width:1%">Musical arts</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/Ingvar_Lidholm" title="Ingvar Lidholm">Ingvar Lidholm</a> (1993)</li> <li><a href="/wiki/Gy%C3%B6rgy_Ligeti" title="György Ligeti">György Ligeti</a> (1995)</li> <li><a href="/wiki/Jorma_Panula" title="Jorma Panula">Jorma Panula</a> (1997)</li> <li><a href="/wiki/Kronos_Quartet" title="Kronos Quartet">Kronos Quartet</a> (1999)</li> <li><a href="/wiki/Kaija_Saariaho" title="Kaija Saariaho">Kaija Saariaho</a> (2001)</li> <li><a href="/wiki/Anne_Sofie_von_Otter" title="Anne Sofie von Otter">Anne Sofie von Otter</a> (2003)</li> <li><a href="/wiki/Mauricio_Kagel" title="Mauricio Kagel">Mauricio Kagel</a> (2005)</li> <li><a href="/wiki/Gidon_Kremer" title="Gidon Kremer">Gidon Kremer</a> (2008)</li> <li><a href="/wiki/Andrew_Manze" title="Andrew Manze">Andrew Manze</a> (2011)</li> <li><a href="/wiki/Herbert_Blomstedt" title="Herbert Blomstedt">Herbert Blomstedt</a> (2014)</li> <li><a href="/wiki/Wayne_Shorter" title="Wayne Shorter">Wayne Shorter</a> (2017)</li> <li><a href="/wiki/Barbara_Hannigan" title="Barbara Hannigan">Barbara Hannigan</a> (2018)</li> <li><a href="/wiki/Gy%C3%B6rgy_Kurt%C3%A1g" title="György Kurtág">György Kurtág</a> (2020)</li> <li><a href="/wiki/V%C3%ADkingur_%C3%93lafsson" title="Víkingur Ólafsson">Víkingur Ólafsson</a> (2022)</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="Laureates_of_the_Wolf_Prize_in_Mathematics" 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" style="background:#d3d3d3;"><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:Wolf_Prize_in_Mathematics" title="Template:Wolf Prize in Mathematics"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Wolf_Prize_in_Mathematics" title="Template talk:Wolf Prize in Mathematics"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Wolf_Prize_in_Mathematics" title="Special:EditPage/Template:Wolf Prize in Mathematics"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Laureates_of_the_Wolf_Prize_in_Mathematics" style="font-size:114%;margin:0 4em">Laureates of the <a href="/wiki/Wolf_Prize_in_Mathematics" title="Wolf Prize in Mathematics">Wolf Prize in Mathematics</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%;background:#d3d3d3;">1970s</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Israel_Gelfand" title="Israel Gelfand">Israel Gelfand</a> / <a href="/wiki/Carl_Ludwig_Siegel" title="Carl Ludwig Siegel">Carl L. Siegel</a> (1978)</li> <li><a href="/wiki/Jean_Leray" title="Jean Leray">Jean Leray</a> / <a href="/wiki/Andr%C3%A9_Weil" title="André Weil">André Weil</a> (1979)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;background:#d3d3d3;">1980s</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Henri_Cartan" title="Henri Cartan">Henri Cartan</a> / <a href="/wiki/Andrey_Kolmogorov" title="Andrey Kolmogorov">Andrey Kolmogorov</a> (1980)</li> <li><a href="/wiki/Lars_Ahlfors" title="Lars Ahlfors">Lars Ahlfors</a> / <a href="/wiki/Oscar_Zariski" title="Oscar Zariski">Oscar Zariski</a> (1981)</li> <li><a href="/wiki/Hassler_Whitney" title="Hassler Whitney">Hassler Whitney</a> / <a href="/wiki/Mark_Krein" title="Mark Krein">Mark Krein</a> (1982)</li> <li><a href="/wiki/Shiing-Shen_Chern" title="Shiing-Shen Chern">Shiing-Shen Chern</a> / <a href="/wiki/Paul_Erd%C5%91s" title="Paul Erdős">Paul Erdős</a> (1983/84)</li> <li><a href="/wiki/Kunihiko_Kodaira" title="Kunihiko Kodaira">Kunihiko Kodaira</a> / <a href="/wiki/Hans_Lewy" title="Hans Lewy">Hans Lewy</a> (1984/85)</li> <li><a href="/wiki/Samuel_Eilenberg" title="Samuel Eilenberg">Samuel Eilenberg</a> / <a href="/wiki/Atle_Selberg" title="Atle Selberg">Atle Selberg</a> (1986)</li> <li><a href="/wiki/Kiyosi_It%C3%B4" title="Kiyosi Itô">Kiyosi Itô</a> / <a href="/wiki/Peter_Lax" title="Peter Lax">Peter Lax</a> (1987)</li> <li><a href="/wiki/Friedrich_Hirzebruch" title="Friedrich Hirzebruch">Friedrich Hirzebruch</a> / <a href="/wiki/Lars_H%C3%B6rmander" title="Lars Hörmander">Lars Hörmander</a> (1988)</li> <li><a href="/wiki/Alberto_Calder%C3%B3n" title="Alberto Calderón">Alberto Calderón</a> / <a href="/wiki/John_Milnor" title="John Milnor">John Milnor</a> (1989)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;background:#d3d3d3;">1990s</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Ennio_De_Giorgi" title="Ennio De Giorgi">Ennio De Giorgi</a> / <a href="/wiki/Ilya_Piatetski-Shapiro" title="Ilya Piatetski-Shapiro">Ilya Piatetski-Shapiro</a> (1990)</li> <li><a href="/wiki/Lennart_Carleson" title="Lennart Carleson">Lennart Carleson</a> / <a href="/wiki/John_G._Thompson" title="John G. Thompson">John G. Thompson</a> (1992)</li> <li><a href="/wiki/Mikhail_Leonidovich_Gromov" class="mw-redirect" title="Mikhail Leonidovich Gromov">Mikhail Gromov</a> / <a href="/wiki/Jacques_Tits" title="Jacques Tits">Jacques Tits</a> (1993)</li> <li><a href="/wiki/J%C3%BCrgen_Moser" title="Jürgen Moser">Jürgen Moser</a> (1994/95)</li> <li><a href="/wiki/Robert_Langlands" title="Robert Langlands">Robert Langlands</a> / <a href="/wiki/Andrew_Wiles" title="Andrew Wiles">Andrew Wiles</a> (1995/96)</li> <li><a href="/wiki/Joseph_Keller" title="Joseph Keller">Joseph Keller</a> / <a href="/wiki/Yakov_Sinai" title="Yakov Sinai">Yakov G. Sinai</a> (1996/97)</li> <li><a href="/wiki/L%C3%A1szl%C3%B3_Lov%C3%A1sz" title="László Lovász">László Lovász</a> / <a href="/wiki/Elias_M._Stein" title="Elias M. Stein">Elias M. Stein</a> (1999)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;background:#d3d3d3;">2000s</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Raoul_Bott" title="Raoul Bott">Raoul Bott</a> / <a href="/wiki/Jean-Pierre_Serre" title="Jean-Pierre Serre">Jean-Pierre Serre</a> (2000)</li> <li><a href="/wiki/Vladimir_Arnold" title="Vladimir Arnold">Vladimir Arnold</a> / <a href="/wiki/Saharon_Shelah" title="Saharon Shelah">Saharon Shelah</a> (2001)</li> <li><a class="mw-selflink selflink">Mikio Sato</a> / <a href="/wiki/John_Tate_(mathematician)" title="John Tate (mathematician)">John Tate</a> (2002/03)</li> <li><a href="/wiki/Grigory_Margulis" title="Grigory Margulis">Grigory Margulis</a> / <a href="/wiki/Sergei_Novikov_(mathematician)" title="Sergei Novikov (mathematician)">Sergei Novikov</a> (2005)</li> <li><a href="/wiki/Stephen_Smale" title="Stephen Smale">Stephen Smale</a> / <a href="/wiki/Hillel_Furstenberg" title="Hillel Furstenberg">Hillel Furstenberg</a> (2006/07)</li> <li><a href="/wiki/Pierre_Deligne" title="Pierre Deligne">Pierre Deligne</a> / <a href="/wiki/Phillip_Griffiths" title="Phillip Griffiths">Phillip A. Griffiths</a> / <a href="/wiki/David_Mumford" title="David Mumford">David B. Mumford</a> (2008)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;background:#d3d3d3;">2010s</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Dennis_Sullivan" title="Dennis Sullivan">Dennis Sullivan</a> / <a href="/wiki/Shing-Tung_Yau" title="Shing-Tung Yau">Shing-Tung Yau</a> (2010)</li> <li><a href="/wiki/Michael_Aschbacher" title="Michael Aschbacher">Michael Aschbacher</a> / <a href="/wiki/Luis_Caffarelli" title="Luis Caffarelli">Luis Caffarelli</a> (2012)</li> <li><a href="/wiki/George_Mostow" title="George Mostow">George Mostow</a> / <a href="/wiki/Michael_Artin" title="Michael Artin">Michael Artin</a> (2013)</li> <li><a href="/wiki/Peter_Sarnak" title="Peter Sarnak">Peter Sarnak</a> (2014)</li> <li><a href="/wiki/James_Arthur_(mathematician)" title="James Arthur (mathematician)">James G. Arthur</a> (2015)</li> <li><a href="/wiki/Richard_Schoen" title="Richard Schoen">Richard Schoen</a> / <a href="/wiki/Charles_Fefferman" title="Charles Fefferman">Charles Fefferman</a> (2017)</li> <li><a href="/wiki/Alexander_Beilinson" title="Alexander Beilinson">Alexander Beilinson</a> / <a href="/wiki/Vladimir_Drinfeld" title="Vladimir Drinfeld">Vladimir Drinfeld</a> (2018)</li> <li><a href="/wiki/Jean-Fran%C3%A7ois_Le_Gall" title="Jean-François Le Gall">Jean-François Le Gall</a> / <a href="/wiki/Greg_Lawler" title="Greg Lawler">Gregory Lawler</a> (2019)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;background:#d3d3d3;">2020s</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Simon_Donaldson" title="Simon Donaldson">Simon K. Donaldson</a> / <a href="/wiki/Yakov_Eliashberg" title="Yakov Eliashberg">Yakov Eliashberg</a> (2020)</li> <li><a href="/wiki/George_Lusztig" title="George Lusztig">George Lusztig</a> (2022)</li> <li><a href="/wiki/Ingrid_Daubechies" title="Ingrid Daubechies">Ingrid Daubechies</a> (2023)</li> <li><a href="/wiki/Noga_Alon" title="Noga Alon">Noga Alon</a> / <a href="/wiki/Adi_Shamir" title="Adi Shamir">Adi Shamir</a> (2024)</li></ul> </div></td></tr><tr><td class="navbox-abovebelow" colspan="2" style="background:#d3d3d3;"><div><b><span class="nowrap"><span class="noviewer" typeof="mw:File"><a href="/wiki/File:Nuvola_apps_edu_mathematics_blue-p.svg" class="mw-file-description"><img alt="icon" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3e/Nuvola_apps_edu_mathematics_blue-p.svg/16px-Nuvola_apps_edu_mathematics_blue-p.svg.png" decoding="async" width="16" height="16" class="mw-file-element" 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