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<h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">David Buchsbaum</span></h1>
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<div id="mw-content-text" class="mw-body-content mw-content-ltr" lang="de" dir="ltr"><div class="mw-content-ltr mw-parser-output" lang="de" dir="ltr"><p><b>David Alvin Buchsbaum</b> (* <a href="6._November" title="6. November">6. November</a> <a href="1929" title="1929">1929</a>; † <a href="8._Januar" title="8. Januar">8. Januar</a> <a href="2021" title="2021">2021</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>) war ein <a href="Vereinigte_Staaten" title="Vereinigte Staaten">US-amerikanischer</a> <a href="Mathematiker" title="Mathematiker">Mathematiker</a>, der sich mit <a href="Algebra" title="Algebra">Algebra</a> befasste.
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<div class="mw-heading mw-heading2"><h2 id="Leben">Leben</h2></div>
<p>Buchsbaum erwarb 1949 seinen <a href="Bachelor" title="Bachelor">Bachelor</a>-Abschluss am <a href="Columbia_College_(Columbia_University)" class="mw-redirect" title="Columbia College (Columbia University)">Columbia College</a> in <a href="New_York_City" title="New York City">New York City</a> und wurde 1954 bei <a href="Samuel_Eilenberg" title="Samuel Eilenberg">Samuel Eilenberg</a> an der <a href="Columbia_University" title="Columbia University">Columbia University</a> promoviert (<i>Exact Categories and Duality</i>).<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> Als <a href="Post-Doktorand" class="mw-redirect" title="Post-Doktorand">Post-Doktorand</a> war er <i>Instructor</i> an der <a href="Princeton_University" title="Princeton University">Princeton University</a> und der <a href="University_of_Chicago" title="University of Chicago">University of Chicago</a>.
</p><p>1956 wurde er <a href="Assistant_Professor" title="Assistant Professor">Assistant Professor</a> sowie 1959 <i>Associate Professor</i> an der <a href="Brown_University" title="Brown University">Brown University</a> und 1961 <i>Associate Professor</i> an der <a href="Brandeis_University" title="Brandeis University">Brandeis University</a>. 1963 erhielt er dort eine volle Professur und von 1962 bis 1964 stand er der Mathematikfakultät vor (und wieder von 1980 bis 1982 und von 1994 bis 1996). 1999 wurde er emeritiert. Er war unter anderem Gastprofessor in Rom, Bologna, Turin, Genua, Montpellier, Valladolid und Caracas.
</p><p>Buchsbaum befasste sich mit Kommutativer und Homologischer Algebra und Darstellungstheorie von Algebren und Gruppen. Er publizierte unter anderem mit <a href="Maurice_Auslander" title="Maurice Auslander">Maurice Auslander</a> (seit 1956, zum Beispiel Theorie <a href="Noetherscher_Ring" title="Noetherscher Ring">Noetherscher Ringe</a>), <a href="David_Eisenbud" title="David Eisenbud">David Eisenbud</a>, <a href="Gian-Carlo_Rota" title="Gian-Carlo Rota">Gian-Carlo Rota</a>. 1955 gab er unabhängig von <a href="Alexander_Grothendieck" title="Alexander Grothendieck">Alexander Grothendieck</a> eine axiomatische Definition der <a href="Abelsche_Kategorie" title="Abelsche Kategorie">abelschen Kategorie</a>.
</p><p>1965/66 war er <a href="Guggenheim-Stipendium" title="Guggenheim-Stipendium">Guggenheim Fellow</a>. Er war Fellow der <a href="American_Mathematical_Society" title="American Mathematical Society">American Mathematical Society</a>. 1995 wurde er in die <a href="American_Academy_of_Arts_and_Sciences" title="American Academy of Arts and Sciences">American Academy of Arts and Sciences</a> gewählt.
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<div class="mw-heading mw-heading2"><h2 id="Schriften">Schriften</h2></div>
<ul><li><i>Lectures on regular local rings</i>, Lecture Notes in Mathematics, Springer Verlag 1969</li>
<li>mit G. Boffi <i>Threading homology through algebra: selected patterns</i>, Oxford University Press 2006</li>
<li>mit Maurice Auslander <i>Homological dimension in Noetherian rings</i>, Transactions of the American Mathematical Society, Band 85, 1957, S. 390–405</li>
<li>mit Auslander <i>Groups, rings, modules</i>, Harper and Row 1974</li>
<li><a rel="nofollow" class="external text" href="http://people.brandeis.edu/~buchsbau/Memoir/mem.pdf">Buchsbaum <i>Through a glass</i>, Erinnerungen 2007, pdf</a></li></ul>
<div class="mw-heading mw-heading2"><h2 id="Weblinks">Weblinks</h2></div>
<ul><li><a rel="nofollow" class="external text" href="http://people.brandeis.edu/~buchsbau/">Homepage</a></li>
<li><a rel="nofollow" class="external text" href="https://zbmath.org/authors/buchsbaum.david-a">David A. Buchsbaum</a> in der Datenbank <a href="ZbMATH" title="ZbMATH">zbMATH</a></li></ul>
<div class="mw-heading mw-heading2"><h2 id="Einzelnachweise">Einzelnachweise</h2></div>
<ol class="references">
<li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><span class="cite"><a rel="nofollow" class="external text" href="https://www.commalg.org/2021/01/11/david-buchsbaum-1929-2021/"><i>David Buchsbaum, 1929 – 2021.</i></a> commalg.org, 11. Januar 2021,<span class="Abrufdatum"> abgerufen am 19. Januar 2021</span>.</span><span style="display: none;" class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rfr_id=info%3Asid%2Fde.wikipedia.org%3ADavid+Buchsbaum&rft.title=David+Buchsbaum%2C+1929+%E2%80%93+2021&rft.description=David+Buchsbaum%2C+1929+%E2%80%93+2021&rft.identifier=https%3A%2F%2Fwww.commalg.org%2F2021%2F01%2F11%2Fdavid-buchsbaum-1929-2021%2F&rft.publisher=commalg.org&rft.date=2021-01-11"> </span></span>
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<li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://genealogy.math.ndsu.nodak.edu/id.php?id=18944">Mathematics Genealogy Project</a></span>
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Normdaten (Person): <a href="Library_of_Congress_Control_Number" title="Library of Congress Control Number">LCCN</a>: <span class="-print"><a rel="nofollow" class="external text" href="https://id.loc.gov/authorities/nb2006018997">nb2006018997</a></span> | <a href="Virtual_International_Authority_File" title="Virtual International Authority File">VIAF</a>: <span class="-print"><a rel="nofollow" class="external text" href="https://viaf.org/viaf/59399004/">59399004</a></span> | </div>
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