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Jacob Lurie - Wikipedia

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.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">Jacob Lurie</div></th></tr><tr><td colspan="2" class="infobox-image"><span class="mw-default-size" typeof="mw:File/Frameless"><a href="/wiki/File:Jacob_Lurie.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c8/Jacob_Lurie.jpg/220px-Jacob_Lurie.jpg" decoding="async" width="220" height="165" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c8/Jacob_Lurie.jpg/330px-Jacob_Lurie.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/c/c8/Jacob_Lurie.jpg 2x" data-file-width="400" data-file-height="300" /></a></span><div class="infobox-caption">Lurie in 2005</div></td></tr><tr><th scope="row" class="infobox-label">Born</th><td class="infobox-data"><span style="display:none"> (<span class="bday">1977-12-07</span>) </span>December 7, 1977<span class="noprint ForceAgeToShow"> (age&#160;46)</span><br /><div style="display:inline" class="birthplace"><a href="/wiki/Washington,_D.C." title="Washington, D.C.">Washington, D.C.</a>, U.S.</div></td></tr><tr><th scope="row" class="infobox-label">Alma&#160;mater</th><td class="infobox-data"><a href="/wiki/Harvard_University" title="Harvard University">Harvard University</a> (<a href="/wiki/Bachelor_of_Arts" title="Bachelor of Arts">BA</a>)<br /><a href="/wiki/Massachusetts_Institute_of_Technology" title="Massachusetts Institute of Technology">Massachusetts Institute of Technology</a> (<a href="/wiki/PhD" class="mw-redirect" title="PhD">PhD</a>)</td></tr><tr><th scope="row" class="infobox-label">Awards</th><td class="infobox-data"><a href="/wiki/Morgan_Prize" title="Morgan Prize">Morgan Prize</a> (2000)<br /><a href="/wiki/Breakthrough_Prize_in_Mathematics" title="Breakthrough Prize in Mathematics">Breakthrough Prize in Mathematics</a> (2014)<br /><a href="/wiki/MacArthur_Fellowship" class="mw-redirect" title="MacArthur Fellowship">MacArthur Fellowship</a> (2014)</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/Algebraic_geometry" title="Algebraic geometry">Algebraic geometry</a></td></tr><tr><th scope="row" class="infobox-label">Institutions</th><td class="infobox-data"><a href="/wiki/Massachusetts_Institute_of_Technology" title="Massachusetts Institute of Technology">Massachusetts Institute of Technology</a><br /><a href="/wiki/Harvard_University" title="Harvard University">Harvard University</a><br /><a href="/wiki/Institute_for_Advanced_Study" title="Institute for Advanced Study">Institute for Advanced Study</a></td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Thesis" title="Thesis">Thesis</a></th><td class="infobox-data"><i><a rel="nofollow" class="external text" href="https://dspace.mit.edu/handle/1721.1/30144">Derived algebraic geometry</a></i>&#160;<span style="font-size:97%;">(2004)</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/Michael_J._Hopkins" title="Michael J. Hopkins">Michael J. Hopkins</a></td></tr><tr style="display:none"><td colspan="2"> </td></tr></tbody></table> <p><b>Jacob Alexander Lurie</b> (born December 7, 1977) is an American mathematician who is a professor at the <a href="/wiki/Institute_for_Advanced_Study" title="Institute for Advanced Study">Institute for Advanced Study</a>.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup> In 2014, Lurie received a <a href="/wiki/MacArthur_Fellows_Program" title="MacArthur Fellows Program">MacArthur Fellowship</a>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Life">Life</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Jacob_Lurie&amp;action=edit&amp;section=1" title="Edit section: Life"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>When he was a student in the Science, Mathematics, and Computer Science Magnet Program at <a href="/wiki/Montgomery_Blair_High_School" title="Montgomery Blair High School">Montgomery Blair High School</a>, Lurie took part in the <a href="/wiki/International_Mathematical_Olympiad" title="International Mathematical Olympiad">International Mathematical Olympiad</a>, where he won a gold medal with a perfect score in 1994.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup> In 1996 he took first place in the <a href="/wiki/Westinghouse_Science_Talent_Search" class="mw-redirect" title="Westinghouse Science Talent Search">Westinghouse Science Talent Search</a> and was featured in a front-page story in the <i><a href="/wiki/Washington_Times" class="mw-redirect" title="Washington Times">Washington Times</a></i>.<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">&#91;</span>3<span class="cite-bracket">&#93;</span></a></sup> </p><p>Lurie earned his <a href="/wiki/Bachelor%27s_degree" title="Bachelor&#39;s degree">bachelor's degree</a> in mathematics from <a href="/wiki/Harvard_College" title="Harvard College">Harvard College</a> in 2000 and was awarded in the same year the <a href="/wiki/Morgan_Prize" title="Morgan Prize">Morgan Prize</a> for his undergraduate thesis on <a href="/wiki/Lie_algebra" title="Lie algebra">Lie algebras</a>.<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">&#91;</span>4<span class="cite-bracket">&#93;</span></a></sup> He earned his <a href="/wiki/Doctor_of_Philosophy" title="Doctor of Philosophy">Ph.D.</a> from the <a href="/wiki/Massachusetts_Institute_of_Technology" title="Massachusetts Institute of Technology">Massachusetts Institute of Technology</a> under supervision of <a href="/wiki/Michael_J._Hopkins" title="Michael J. Hopkins">Michael J. Hopkins</a>, in 2004 with a thesis on <a href="/wiki/Derived_algebraic_geometry" title="Derived algebraic geometry">derived algebraic geometry</a>. In 2007, he became associate professor at <a href="/wiki/Massachusetts_Institute_of_Technology" title="Massachusetts Institute of Technology">MIT</a>, and in 2009 he became professor at <a href="/wiki/Harvard_University" title="Harvard University">Harvard University</a>.<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">&#91;</span>5<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">&#91;</span>6<span class="cite-bracket">&#93;</span></a></sup> In 2019, he joined the <a href="/wiki/Institute_for_Advanced_Study" title="Institute for Advanced Study">Institute for Advanced Study</a> as a permanent faculty member in mathematics.<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">&#91;</span>7<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Mathematical_work">Mathematical work</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Jacob_Lurie&amp;action=edit&amp;section=2" title="Edit section: Mathematical work"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Lurie's research interests started with logic and the theory of <a href="/wiki/Surreal_numbers" class="mw-redirect" title="Surreal numbers">surreal numbers</a> while he was still in high school.<sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">&#91;</span>8<span class="cite-bracket">&#93;</span></a></sup> He is best known for his work, starting with his thesis, on <a href="/wiki/Infinity-categories" class="mw-redirect" title="Infinity-categories">infinity categories</a> and <a href="/wiki/Derived_algebraic_geometry" title="Derived algebraic geometry">derived algebraic geometry</a>. Derived algebraic geometry is a way of infusing <a href="/wiki/Homotopy_theory" title="Homotopy theory">homotopical</a> methods into algebraic geometry, with two purposes: deeper insight into algebraic geometry (e.g. into <a href="/wiki/Intersection_theory" title="Intersection theory">intersection theory</a>) and the use of methods of algebraic geometry in <a href="/wiki/Stable_homotopy_theory" title="Stable homotopy theory">stable homotopy theory</a>. The latter area is the topic of Lurie's work on <a href="/wiki/Elliptic_cohomology" title="Elliptic cohomology">elliptic cohomology</a>. <a href="/wiki/%E2%88%9E-category" class="mw-redirect" title="∞-category">Infinity categories</a> (in the form of <a href="/wiki/Andr%C3%A9_Joyal" title="André Joyal">André Joyal</a>'s quasi-categories) are a convenient framework to do homotopy theory in abstract settings. They are the main topic of his book <i>Higher Topos Theory</i>. </p><p>Another part of Lurie's work is his article on <a href="/wiki/Topological_quantum_field_theory" title="Topological quantum field theory">topological field theories</a>, where he sketches a classification of extended field theories using the language of infinity categories (<a href="/wiki/Cobordism_hypothesis" title="Cobordism hypothesis">cobordism hypothesis</a>). In joint work with <a href="/wiki/Dennis_Gaitsgory" title="Dennis Gaitsgory">Dennis Gaitsgory</a>, he used his non-abelian <a href="/wiki/Poincar%C3%A9_duality" title="Poincaré duality">Poincaré duality</a> in an algebraic-geometric setting, to prove the <a href="/wiki/Siegel_mass_formula" class="mw-redirect" title="Siegel mass formula">Siegel mass formula</a> for <a href="/wiki/Function_field_of_an_algebraic_variety" title="Function field of an algebraic variety">function fields</a>. </p><p>Lurie was one of the inaugural winners of the <a href="/wiki/Breakthrough_Prize_in_Mathematics" title="Breakthrough Prize in Mathematics">Breakthrough Prize in Mathematics</a> in 2014, "for his work on the foundations of <a href="/wiki/Higher_category_theory" title="Higher category theory">higher category theory</a> and <a href="/wiki/Derived_algebraic_geometry" title="Derived algebraic geometry">derived algebraic geometry</a>; for the classification of fully extended topological quantum field theories; and for providing a moduli-theoretic interpretation of elliptic cohomology."<sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">&#91;</span>9<span class="cite-bracket">&#93;</span></a></sup> Lurie was also awarded a MacArthur "genius grant" Fellowship in 2014.<sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">&#91;</span>10<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">&#91;</span>11<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Publications">Publications</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Jacob_Lurie&amp;action=edit&amp;section=3" title="Edit section: Publications"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><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="CITEREFLurie2009" class="citation cs2">Lurie, Jacob (2009), <a href="/wiki/Higher_Topos_Theory" title="Higher Topos Theory"><i>Higher Topos Theory</i></a>, Annals of Mathematics Studies, vol.&#160;170, <a href="/wiki/Princeton_University_Press" title="Princeton University Press">Princeton University Press</a>, <a href="/wiki/ArXiv_(identifier)" class="mw-redirect" title="ArXiv (identifier)">arXiv</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://arxiv.org/abs/math.CT/0608040">math.CT/0608040</a></span>, <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/978-0-691-14049-0" title="Special:BookSources/978-0-691-14049-0"><bdi>978-0-691-14049-0</bdi></a>, <a href="/wiki/MR_(identifier)" class="mw-redirect" title="MR (identifier)">MR</a>&#160;<a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet-getitem?mr=2522659">2522659</a></cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Higher+Topos+Theory&amp;rft.series=Annals+of+Mathematics+Studies&amp;rft.pub=Princeton+University+Press&amp;rft.date=2009&amp;rft_id=info%3Aarxiv%2Fmath.CT%2F0608040&amp;rft_id=https%3A%2F%2Fmathscinet.ams.org%2Fmathscinet-getitem%3Fmr%3D2522659%23id-name%3DMR&amp;rft.isbn=978-0-691-14049-0&amp;rft.aulast=Lurie&amp;rft.aufirst=Jacob&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AJacob+Lurie" class="Z3988"></span></li> <li>Lurie, Jacob (2017), <i>Higher Algebra</i></li> <li>Lurie, Jacob (2018), <i>Spectral Algebraic Geometry</i></li></ul> <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=Jacob_Lurie&amp;action=edit&amp;section=4" 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"> <div class="mw-references-wrap mw-references-columns"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.ias.edu/scholars/lurie">"Jacob Lurie"</a>. <i>Institute for Advanced Study</i><span class="reference-accessdate">. Retrieved <span class="nowrap">August 5,</span> 2019</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=Institute+for+Advanced+Study&amp;rft.atitle=Jacob+Lurie&amp;rft_id=https%3A%2F%2Fwww.ias.edu%2Fscholars%2Flurie&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AJacob+Lurie" class="Z3988"></span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFDillon1994" class="citation cs2">Dillon, Sam (July 20, 1994), <a rel="nofollow" class="external text" href="https://www.nytimes.com/1994/07/20/us/perfect-score-for-americans-in-world-math-tourney.html">"Perfect Score for Americans in World Math Tourney"</a>, <i><a href="/wiki/New_York_Times" class="mw-redirect" title="New York Times">New York Times</a></i></cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=New+York+Times&amp;rft.atitle=Perfect+Score+for+Americans+in+World+Math+Tourney&amp;rft.date=1994-07-20&amp;rft.aulast=Dillon&amp;rft.aufirst=Sam&amp;rft_id=https%3A%2F%2Fwww.nytimes.com%2F1994%2F07%2F20%2Fus%2Fperfect-score-for-americans-in-world-math-tourney.html&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AJacob+Lurie" 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"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFLacharite1996" class="citation cs2">Lacharite, Gretchen (March 12, 1996), <a rel="nofollow" class="external text" href="https://web.archive.org/web/20191212055453/https://www.questia.com/read/1G1-56826719">"Unreal mind gets top prize in science: Bethesda teen wins talent search"</a>, <i><a href="/wiki/Washington_Times" class="mw-redirect" title="Washington Times">Washington Times</a></i>, archived from <a rel="nofollow" class="external text" href="https://www.questia.com/read/1G1-56826719">the original</a> on December 12, 2019<span class="reference-accessdate">, retrieved <span class="nowrap">January 7,</span> 2019</span></cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Washington+Times&amp;rft.atitle=Unreal+mind+gets+top+prize+in+science%3A+Bethesda+teen+wins+talent+search&amp;rft.date=1996-03-12&amp;rft.aulast=Lacharite&amp;rft.aufirst=Gretchen&amp;rft_id=https%3A%2F%2Fwww.questia.com%2Fread%2F1G1-56826719&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AJacob+Lurie" 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"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFLurie2001" class="citation journal cs1">Lurie, Jacob (2001). <a rel="nofollow" class="external text" href="http://www.math.harvard.edu/~lurie/papers/thesis.pdf">"On simply laced Lie algebras and their minuscule representations"</a> <span class="cs1-format">(PDF)</span>. <i><a href="/wiki/Commentarii_Mathematici_Helvetici" title="Commentarii Mathematici Helvetici">Commentarii Mathematici Helvetici</a></i>. <b>76</b> (3): 515–575. <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/10.1007%2FPL00013217">10.1007/PL00013217</a></span>. <a href="/wiki/MR_(identifier)" class="mw-redirect" title="MR (identifier)">MR</a>&#160;<a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet-getitem?mr=1854697">1854697</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a>&#160;<a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:8543203">8543203</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Commentarii+Mathematici+Helvetici&amp;rft.atitle=On+simply+laced+Lie+algebras+and+their+minuscule+representations&amp;rft.volume=76&amp;rft.issue=3&amp;rft.pages=515-575&amp;rft.date=2001&amp;rft_id=https%3A%2F%2Fmathscinet.ams.org%2Fmathscinet-getitem%3Fmr%3D1854697%23id-name%3DMR&amp;rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A8543203%23id-name%3DS2CID&amp;rft_id=info%3Adoi%2F10.1007%2FPL00013217&amp;rft.aulast=Lurie&amp;rft.aufirst=Jacob&amp;rft_id=http%3A%2F%2Fwww.math.harvard.edu%2F~lurie%2Fpapers%2Fthesis.pdf&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AJacob+Lurie" 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 cs2"><a rel="nofollow" class="external text" href="http://www.fas.harvard.edu/home/news-and-notices/news/press-releases/release-archive/releases-2008/lurie-12182008.shtml">"Jacob Lurie Named Professor of Mathematics at Harvard"</a>, <i>Harvard University</i>, December 18, 2008</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Harvard+University&amp;rft.atitle=Jacob+Lurie+Named+Professor+of+Mathematics+at+Harvard&amp;rft.date=2008-12-18&amp;rft_id=http%3A%2F%2Fwww.fas.harvard.edu%2Fhome%2Fnews-and-notices%2Fnews%2Fpress-releases%2Frelease-archive%2Freleases-2008%2Flurie-12182008.shtml&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AJacob+Lurie" 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 id="CITEREFBradt2008" class="citation news cs1">Bradt, Steve (December 18, 2008). <a rel="nofollow" class="external text" href="http://news.harvard.edu/gazette/story/2008/12/algebra-topology-expert-lurie-named-professor-of-mathematics/">"Algebra, topology expert Lurie named professor of mathematics"</a>. Harvard Gazette<span class="reference-accessdate">. Retrieved <span class="nowrap">June 24,</span> 2014</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.atitle=Algebra%2C+topology+expert+Lurie+named+professor+of+mathematics&amp;rft.date=2008-12-18&amp;rft.aulast=Bradt&amp;rft.aufirst=Steve&amp;rft_id=http%3A%2F%2Fnews.harvard.edu%2Fgazette%2Fstory%2F2008%2F12%2Falgebra-topology-expert-lurie-named-professor-of-mathematics%2F&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AJacob+Lurie" 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 class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.ias.edu/press-releases/2019/lurie-appointment">"Jacob Lurie, Trailblazing Mathematician, Joins Faculty of the Institute for Advanced Study"</a>. <i>Institute for Advanced Study</i>. June 11, 2019<span class="reference-accessdate">. Retrieved <span class="nowrap">August 5,</span> 2019</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=Institute+for+Advanced+Study&amp;rft.atitle=Jacob+Lurie%2C+Trailblazing+Mathematician%2C+Joins+Faculty+of+the+Institute+for+Advanced+Study&amp;rft.date=2019-06-11&amp;rft_id=https%3A%2F%2Fwww.ias.edu%2Fpress-releases%2F2019%2Flurie-appointment&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AJacob+Lurie" 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="CITEREFConwayJackson1996" class="citation web cs1">Conway, John H.; Jackson, Allyn (July 1996). <a rel="nofollow" class="external text" href="https://www.ams.org/notices/199607/comm-conway.pdf">"Budding Mathematician Wins Westinghouse Competition"</a> <span class="cs1-format">(PDF)</span>. Notices of the American Mathematical Society<span class="reference-accessdate">. Retrieved <span class="nowrap">September 26,</span> 2016</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=Budding+Mathematician+Wins+Westinghouse+Competition&amp;rft.pub=Notices+of+the+American+Mathematical+Society&amp;rft.date=1996-07&amp;rft.aulast=Conway&amp;rft.aufirst=John+H.&amp;rft.au=Jackson%2C+Allyn&amp;rft_id=https%3A%2F%2Fwww.ams.org%2Fnotices%2F199607%2Fcomm-conway.pdf&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AJacob+Lurie" 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 class="citation web cs1"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20140624214039/https://breakthroughprize.org/?controller=Page&amp;action=news&amp;news_id=18">"Five Winners Receive Inaugural Breakthrough Prize in Mathematics"</a>. <i>Breakthrough Prize</i>. Archived from <a rel="nofollow" class="external text" href="https://breakthroughprize.org/?controller=Page&amp;action=news&amp;news_id=18">the original</a> on June 24, 2014<span class="reference-accessdate">. Retrieved <span class="nowrap">June 24,</span> 2014</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=Breakthrough+Prize&amp;rft.atitle=Five+Winners+Receive+Inaugural+Breakthrough+Prize+in+Mathematics&amp;rft_id=https%3A%2F%2Fbreakthroughprize.org%2F%3Fcontroller%3DPage%26action%3Dnews%26news_id%3D18&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AJacob+Lurie" class="Z3988"></span></span> </li> <li id="cite_note-10"><span class="mw-cite-backlink"><b><a href="#cite_ref-10">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://www.macfound.org/fellows/921/">"Jacob Lurie - MacArthur Fellow 2014"</a>. MacArthur Foundation<span class="reference-accessdate">. Retrieved <span class="nowrap">September 17,</span> 2014</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=Jacob+Lurie+-+MacArthur+Fellow+2014&amp;rft.pub=MacArthur+Foundation&amp;rft_id=http%3A%2F%2Fwww.macfound.org%2Ffellows%2F921%2F&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AJacob+Lurie" class="Z3988"></span></span> </li> <li id="cite_note-11"><span class="mw-cite-backlink"><b><a href="#cite_ref-11">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFShay2014" class="citation news cs1">Shay, Kevin James (September 29, 2014). <a rel="nofollow" class="external text" href="https://web.archive.org/web/20180831035448/http://www.gazette.net/gazettecms/story.php?id=8508">"Blair alum wins prestigious MacArthur fellowship"</a>. Archived from <a rel="nofollow" class="external text" href="http://www.gazette.net/gazettecms/story.php?id=8508">the original</a> on August 31, 2018<span class="reference-accessdate">. Retrieved <span class="nowrap">August 30,</span> 2018</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.atitle=Blair+alum+wins+prestigious+MacArthur+fellowship&amp;rft.date=2014-09-29&amp;rft.aulast=Shay&amp;rft.aufirst=Kevin+James&amp;rft_id=http%3A%2F%2Fwww.gazette.net%2Fgazettecms%2Fstory.php%3Fid%3D8508&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AJacob+Lurie" 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=Jacob_Lurie&amp;action=edit&amp;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://www.ias.edu/scholars/lurie">Lurie's website at the Institute for Advanced Study</a></li> <li><a rel="nofollow" class="external text" href="http://www.math.harvard.edu/~lurie/">Lurie's website at Harvard</a> (<a rel="nofollow" class="external text" href="http://math.ias.edu/~lurie/">Jacob Lurie's Home Page</a>)</li> <li><a rel="nofollow" class="external text" href="https://mathgenealogy.org/id.php?id=84215">Jacob Lurie</a> at the <a href="/wiki/Mathematics_Genealogy_Project" title="Mathematics Genealogy Project">Mathematics Genealogy Project</a></li> <li><a rel="nofollow" class="external text" href="https://www.imo-official.org/participant_r.aspx?id=1143">Jacob Lurie's results</a> at <a href="/wiki/International_Mathematical_Olympiad" title="International Mathematical Olympiad">International Mathematical Olympiad</a></li></ul> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r1129693374">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist 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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 class="mw-selflink selflink">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 href="/wiki/Ian_Agol" title="Ian Agol">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. 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</div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"><style data-mw-deduplicate="TemplateStyles:r1038841319">.mw-parser-output .tooltip-dotted{border-bottom:1px dotted;cursor:help}</style></div><div role="navigation" class="navbox authority-control" aria-labelledby="Authority_control_databases_frameless&amp;#124;text-top&amp;#124;10px&amp;#124;alt=Edit_this_at_Wikidata&amp;#124;link=https&amp;#58;//www.wikidata.org/wiki/Q6333335#identifiers&amp;#124;class=noprint&amp;#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&amp;#124;text-top&amp;#124;10px&amp;#124;alt=Edit_this_at_Wikidata&amp;#124;link=https&amp;#58;//www.wikidata.org/wiki/Q6333335#identifiers&amp;#124;class=noprint&amp;#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/Q6333335#identifiers" title="Edit this at Wikidata"><img alt="Edit this at Wikidata" src="//upload.wikimedia.org/wikipedia/en/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/10px-OOjs_UI_icon_edit-ltr-progressive.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/15px-OOjs_UI_icon_edit-ltr-progressive.svg.png 1.5x, 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style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://d-nb.info/gnd/139905529">Germany</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://id.loc.gov/authorities/no2009129939">United States</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://catalogue.bnf.fr/ark:/12148/cb16172542d">France</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://data.bnf.fr/ark:/12148/cb16172542d">BnF data</a></span></li><li><span class="uid"><span class="rt-commentedText tooltip tooltip-dotted" title="Lurie, Jacob"><a rel="nofollow" class="external text" href="https://aleph.nkp.cz/F/?func=find-c&amp;local_base=aut&amp;ccl_term=ica=mub20211114979&amp;CON_LNG=ENG">Czech Republic</a></span></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://data.bibliotheken.nl/id/thes/p321683005">Netherlands</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://authority.bibsys.no/authority/rest/authorities/html/9054505">Norway</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://olduli.nli.org.il/F/?func=find-b&amp;local_base=NLX10&amp;find_code=UID&amp;request=987007442345205171">Israel</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Academics</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.mathgenealogy.org/id.php?id=84215">Mathematics Genealogy Project</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://zbmath.org/authors/?q=ai:lurie.jacob">zbMATH</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://dblp.org/pid/31/5041">DBLP</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet/MRAuthorID/635129">MathSciNet</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.idref.fr/13639597X">IdRef</a></span></li></ul></div></td></tr></tbody></table></div> <!-- NewPP limit report Parsed by mw‐web.codfw.canary‐84779d6bf6‐lxzkk Cached time: 20241122150510 Cache expiry: 2592000 Reduced expiry: false Complications: [vary‐revision‐sha1, show‐toc] CPU time usage: 0.407 seconds Real time usage: 0.547 seconds Preprocessor visited node count: 2951/1000000 Post‐expand include size: 60753/2097152 bytes Template argument size: 3356/2097152 bytes Highest 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