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    <title>Alain Connes</title>
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      <timestamp>2009-10-04T11:57:30Z</timestamp>
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        <username>Rettetast</username>
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<p>Quick-adding category <a href="Category:Norwegian_Academy_of_Science_and_Letters" title="Category:Norwegian Academy of Science and Letters">Norwegian Academy of Science and Letters</a> (using <a href="WP:HOTCAT" title="WP:HOTCAT">HotCat</a>)</p></comment>
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<p>{{Infobox Scientist}}</p>
<p><b>Alain Connes</b> (born 1 April 1947) is a <a href="France" title="France">French</a> <a href="Mathematician" title="mathematician">mathematician</a>, currently Professor at the <a href="College_de_France" title="College de France">College de France</a>, <a href="IH%C3%89S" title="IHÉS">IHÉS</a> and <a href="Vanderbilt_University" title="Vanderbilt University">Vanderbilt University</a>. </p>
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<h2>Contents</h2>
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<ul>
<li class="toclevel-1"><a href="#Work">Work</a>
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<li class="toclevel-1"><a href="#Awards_and_honours">Awards and honours</a>
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<li class="toclevel-1"><a href="#See_also">See also</a>
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<li class="toclevel-1"><a href="#External_links">External links</a>
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<a id="Work" name="Work"/><h2>Work</h2>
<p>Alain Connes is one of the leading specialists on <a href="Operator_algebra" title="operator algebra">operator algebras</a>. In his early work on <a href="Von_Neumann_algebras" title="von Neumann algebras">von Neumann algebras</a> in the 1970s, he succeeded in obtaining the almost complete classification of injective <a href="Von_Neumann_algebra#Factors" title="Von Neumann algebra">factors</a>. Following this he made contributions in <a href="K-theory" title="K-theory">operator K-theory</a> and <a href="Index_theory" title="index theory">index theory</a>, which culminated in the 
<a href="Baum-Connes_conjecture" title="Baum-Connes conjecture">Baum-Connes conjecture</a>. He also introduced <a href="Cyclic_homology" title="cyclic homology">cyclic cohomology</a> in the early 1980s as a first step in the study of <a href="Noncommutative_geometry" title="noncommutative geometry">noncommutative differential geometry</a>.</p>
<p>Connes has applied his work in areas of <a href="Mathematics" title="mathematics">mathematics</a> and <a href="Theoretical_physics" title="theoretical physics">theoretical physics</a>, including <a href="Number_theory" title="number theory">number theory</a>, <a href="Differential_geometry" title="differential geometry">differential geometry</a> and <a href="Particle_physics" title="particle physics">particle physics</a>.</p>
<a id="Awards_and_honours" name="Awards_and_honours"/><h2>Awards and honours</h2>

<p>Connes was awarded the <a href="Fields_Medal" title="Fields Medal">Fields Medal</a> in 1982, the <a href="Crafoord_Prize" title="Crafoord Prize">Crafoord Prize</a> in 2001 and the gold medal of the <a href="CNRS" title="CNRS">CNRS</a> in 2004.  He is a member of the <a href="French_Academy_of_Sciences" title="French Academy of Sciences">French Academy of Sciences</a> and several foreign academies and societies, including the <a href="Royal_Danish_Academy_of_Sciences_and_Letters" title="Royal Danish Academy of Sciences and Letters">Danish Academy of Sciences</a>, <a href="Norwegian_Academy_of_Science_and_Letters" title="Norwegian Academy of Science and Letters">Norwegian Academy of Sciences</a>, <a href="Russian_Academy_of_Sciences" title="Russian Academy of Sciences">Russian Academy of Sciences</a>, and <a href="United_States_National_Academy_of_Sciences" title="United States National Academy of Sciences">US National Academy of Sciences</a>.</p>
<a id="See_also" name="See_also"/><h2>See also</h2>

<ul>
<li><a href="Cyclic_homology" title="cyclic homology">cyclic homology</a></li>
<li><a href="Factor_(functional_analysis)" title="factor (functional analysis)">factor (functional analysis)</a></li>
<li><a href="Higgs_boson" title="Higgs boson">Higgs boson</a></li>
<li><a href="C%2A-algebra" title="C*-algebra">C*-algebra</a></li>
<li><a href="M_Theory" title="M Theory">M Theory</a></li>
<li><a href="Groupoid" title="Groupoid">Groupoid</a></li></ul>

<a id="External_links" name="External_links"/><h2>External links</h2>

<ul>
<li><a class="externallink" href="http://www.alainconnes.org/" rel="nofollow" title="http://www.alainconnes.org/">Alain Connes Official Web Site</a> containing <a class="externallink" href="http://www.alainconnes.org/en/downloads.php" rel="nofollow" title="http://www.alainconnes.org/en/downloads.php">downloadable papers</a>, and his book <a class="externallink" href="http://www.alainconnes.org/docs/book94bigpdf.pdf" rel="nofollow" title="http://www.alainconnes.org/docs/book94bigpdf.pdf"><i>Non-commutative geometry</i></a>, <a class="external text" href="http://www.amazon.com/exec/obidos/ASIN/012185860" rel="nofollow" title="http://www.amazon.com/exec/obidos/ASIN/012185860">ISBN 0-12-185860-</a>X.</li>
<li><a class="externallink" href="http://resonaances.blogspot.com/2007/02/alain-connes-standard-model.html" rel="nofollow" title="http://resonaances.blogspot.com/2007/02/alain-connes-standard-model.html">Alain Connes' Standard Model</a></li>
<li>An <a class="externallink" href="http://www.ipm.ac.ir/ViewNewsInfo.jsp?NTID=227" rel="nofollow" title="http://www.ipm.ac.ir/ViewNewsInfo.jsp?NTID=227">interview with Alain Connes</a> and a <a class="externallink" href="http://www.math.columbia.edu/~woit/wordpress/?p=313" rel="nofollow" title="http://www.math.columbia.edu/~woit/wordpress/?p=313">discussion about it</a></li>
<li>{{MacTutor Biography}}</li>
<li>{{MathGenealogy}}</li></ul>

<p>{{Fields medalists}}</p>
<p>{{DEFAULTSORT:Connes, Alain}}














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<p><a href="http://ar.wikipedia.org/wiki/%D8%A3%D9%84%D8%A7%D9%86_%D9%83%D9%86">ar:ألان كن</a>
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<a href="http://de.wikipedia.org/wiki/Alain_Connes">de:Alain Connes</a>
<a href="http://es.wikipedia.org/wiki/Alain_Connes">es:Alain Connes</a>
<a href="http://fr.wikipedia.org/wiki/Alain_Connes">fr:Alain Connes</a>
<a href="http://ko.wikipedia.org/wiki/%EC%95%8C%EB%9E%AD_%EC%BD%98%EB%8A%90">ko:알랭 콘느</a>
<a href="http://it.wikipedia.org/wiki/Alain_Connes">it:Alain Connes</a>
<a href="http://ht.wikipedia.org/wiki/Alain_Connes">ht:Alain Connes</a>
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