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<span id="openzim-page-title" class="mw-page-title-main"><span class="mw-page-title-main">Brian Conrad</span></span>
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</style><table class="infobox biography vcard"><tbody><tr><th colspan="2" class="infobox-above" style="font-size:125%;"><div class="fn">Brian Conrad</div></th></tr><tr><th scope="row" class="infobox-label">Born</th><td class="infobox-data"><span style="display:none"> (<span class="bday">1970-11-20</span>) </span>November 20, 1970<br><div style="display:inline" class="birthplace"><a href="New_York_City" title="New York City">New York City</a>, NY, US</div></td></tr><tr><th scope="row" class="infobox-label">Alma mater</th><td class="infobox-data"><a href="Princeton_University" title="Princeton University">Princeton University</a> (doctorate)<br><a href="Harvard_College" title="Harvard College">Harvard College</a> (undergraduate)</td></tr><tr><th scope="row" class="infobox-label">Awards</th><td class="infobox-data"><a href="Presidential_Early_Career_Award_for_Scientists_and_Engineers" title="Presidential Early Career Award for Scientists and Engineers">Presidential Early Career Award for Scientists and Engineers</a><sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup></td></tr><tr><td colspan="2" class="infobox-full-data"><b>Scientific career</b></td></tr><tr><th scope="row" class="infobox-label">Fields</th><td class="infobox-data category"><a href="Mathematics" title="Mathematics">Mathematics</a></td></tr><tr><th scope="row" class="infobox-label">Institutions</th><td class="infobox-data"><a href="Stanford_University" title="Stanford University">Stanford University</a><br><a href="Columbia_University" title="Columbia University">Columbia University</a><br><a href="University_of_Michigan" title="University of Michigan">University of Michigan</a></td></tr><tr><th scope="row" class="infobox-label"><a href="Thesis" title="Thesis">Thesis</a></th><td class="infobox-data"><i><a rel="nofollow" class="external text" href="https://www.proquest.com/openview/cd7fb6606557179ddffb93da173a1bcf/">Finite Honda systems and supersingular elliptic curves</a></i> <span style="font-size:97%;">(1996)</span></td></tr><tr><th scope="row" class="infobox-label"><a href="Doctoral_advisor" title="Doctoral advisor">Doctoral advisor</a></th><td class="infobox-data"><a href="Andrew_Wiles" title="Andrew Wiles">Andrew Wiles</a></td></tr><tr style="display:none"><td colspan="2">
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<p><b>Brian Conrad</b> (born November 20, 1970) is an <a href="Americans" title="Americans">American</a> <a href="Mathematician" title="Mathematician">mathematician</a> and <a href="Number_theory" title="Number theory">number theorist</a>, working at <a href="Stanford_University" title="Stanford University">Stanford University</a>. Previously, he taught at the <a href="University_of_Michigan" title="University of Michigan">University of Michigan</a> and at <a href="Columbia_University" title="Columbia University">Columbia University</a>.
</p><p>Conrad and others proved the <a href="Modularity_theorem" title="Modularity theorem">modularity theorem</a>, also known as the Taniyama-Shimura Conjecture. He proved this in 1999 with <a href="Christophe_Breuil" title="Christophe Breuil">Christophe Breuil</a>, <a href="Fred_Diamond" title="Fred Diamond">Fred Diamond</a> and <a href="Richard_Taylor_(mathematician)" title="Richard Taylor (mathematician)">Richard Taylor</a>, while holding a joint postdoctoral position at <a href="Harvard_University" title="Harvard University">Harvard University</a> and the <a href="Institute_for_Advanced_Study" title="Institute for Advanced Study">Institute for Advanced Study</a> in <a href="Princeton%2C_New_Jersey" title="Princeton, New Jersey">Princeton, New Jersey</a>.
</p><p>Conrad received his bachelor's degree from Harvard in 1992, where he won a prize for his undergraduate thesis. He did his doctoral work under <a href="Andrew_Wiles" title="Andrew Wiles">Andrew Wiles</a> and went on to receive his Ph.D. from <a href="Princeton_University" title="Princeton University">Princeton University</a> in 1996 with a dissertation titled <i>Finite Honda Systems And Supersingular Elliptic Curves</i>. He was also featured as an extra in <a href="Nova_(American_TV_program)" title="Nova (American TV program)">Nova's</a> <i>The Proof</i>.
</p><p>His identical twin brother Keith Conrad, also a <a href="Number_theory" title="Number theory">number theorist</a>, is a professor at the <a href="University_of_Connecticut" title="University of Connecticut">University of Connecticut</a>.
</p><p>He was awarded the prestigious Barry Prize for Distinguished Intellectual Achievement by the American Academy of Sciences and Letters in 2024.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup>
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<div class="mw-heading mw-heading2"><h2 id="References">References</h2></div>
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</style><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.nsf.gov/awards/PECASE/recip_details.jsp?pecase_id=103">"The Presidential Early Career Award for Scientists and Engineers: Recipient Details: Brian Conrad"</a>. NSF.</cite></span>
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<li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://academysciencesletters.org/awards/">"Awards"</a>. <i>American Academy of Sciences & Letters</i><span class="reference-accessdate">. Retrieved <span class="nowrap">2024-10-27</span></span>.</cite></span>
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<div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2></div>
<ul><li><a rel="nofollow" class="external text" href="https://mathgenealogy.org/id.php?id=18916">Brian Conrad</a> at the <a href="Mathematics_Genealogy_Project" title="Mathematics Genealogy Project">Mathematics Genealogy Project</a></li>
<li><a rel="nofollow" class="external text" href="http://math.stanford.edu/~conrad/">Homepage at Stanford University</a></li>
<li><a rel="nofollow" class="external text" href="https://web.archive.org/web/20070312064126/http://abel.math.harvard.edu/~rtaylor/st.ps"><i>On the modularity of elliptic curves over <b>Q</b></i></a> - Proof of Taniyama-Shimura coauthored by Conrad.</li>
<li>Brian Conrad, Fred Diamond, Richard Taylor: <a rel="nofollow" class="external text" href="https://web.archive.org/web/20060318075859/http://abel.math.harvard.edu/~rtaylor/cdt.dvi"><i>Modularity of certain potentially Barsotti-Tate Galois representations</i></a>, <a href="Journal_of_the_American_Mathematical_Society" title="Journal of the American Mathematical Society">Journal of the American Mathematical Society</a> 12 (1999), pp. 521–567. Also contains the proof</li>
<li>C. Breuil, B. Conrad, F. Diamond, R. Taylor : <a rel="nofollow" class="external text" href="https://web.archive.org/web/20150924033404/http://www.ihes.fr/~breuil/PUBLICATIONS/STW.pdf"><i>On the modularity of elliptic curves over <b>Q</b>: wild 3-adic exercises</i></a>, Journal of the American Mathematical Society 14 (2001), 843–939.</li></ul>
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