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<title>Daniel Bump</title>

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<h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Daniel Bump</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>Daniel Bump</b> (* <a href="13._Mai" title="13. Mai">13. Mai</a> <a href="1952" title="1952">1952</a>) ist ein <a href="Vereinigte_Staaten" title="Vereinigte Staaten">US-amerikanischer</a> <a href="Mathematiker" title="Mathematiker">Mathematiker</a>, der sich mit automorphen Formen, Darstellungstheorie und <a href="Zahlentheorie" title="Zahlentheorie">Zahlentheorie</a> befasst. Bump ist Professor an der <a href="Stanford_University" title="Stanford University">Stanford University</a>.

</p><p>Bump studierte am <a href="Reed_College" title="Reed College">Reed College</a> mit dem <a href="Bachelor" title="Bachelor">Bachelor</a>-Abschluss 1974 und wurde 1982 an der <a href="University_of_Chicago" title="University of Chicago">University of Chicago</a> bei <a href="Walter_Baily" title="Walter Baily">Walter Baily</a> promoviert (Automorphic forms on GL(3,R)).<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> Als <a href="Post-Doktorand" class="mw-redirect" title="Post-Doktorand">Post-Doktorand</a> war er <a href="Lecturer" title="Lecturer">Lecturer</a> an der <a href="University_of_Texas_at_Austin" title="University of Texas at Austin">University of Texas at Austin</a> und 1985/86 am <a href="Institute_for_Advanced_Study" title="Institute for Advanced Study">Institute for Advanced Study</a>. 1986 wurde er <a href="Assistant_Professor" title="Assistant Professor">Assistant Professor</a>, 1990 <a href="Associate_Professor" class="mw-redirect" title="Associate Professor">Associate Professor</a> und 1995 Professor in Stanford. Er ist Fellow der <a href="American_Mathematical_Society" title="American Mathematical Society">American Mathematical Society</a>.

</p><p>Er befasste sich unter anderem mit <a href="L-Funktion" title="L-Funktion">L-Funktionen</a>, der <a href="Metaplektische_Gruppe" class="mw-redirect" title="Metaplektische Gruppe">metaplektischen Gruppe</a>, Whittaker-Funktionen und vielfachen Dirichletreihen, mit <a href="Toeplitz-Matrix" title="Toeplitz-Matrix">Toeplitz-Matrizen</a>, Voronoi-Summationsformeln und exakt lösbaren Modellen der statistischen Mechanik (Schur-Polynome und <a href="Yang-Baxter-Gleichung" class="mw-redirect" title="Yang-Baxter-Gleichung">Yang-Baxter-Gleichungen</a>). Er schrieb auch Software für das <a href="Sage_(Software)" class="mw-redirect" title="Sage (Software)">Sage-Projekt</a> mathematischer Software von <a href="William_A._Stein" title="William A. Stein">William A. Stein</a>.

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<div class="mw-heading mw-heading2"><h2 id="Schriften">Schriften</h2></div>

<ul><li><i>Automorphic forms on <span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle GL(3,\mathbb {R} )}">

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<annotation encoding="application/x-tex">{\displaystyle GL(3,\mathbb {R} )}</annotation>

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</math></span><img src="./_assets_/eb734a37dd21ce173a46342d1cc64c92/208913f65621ce13a1485cb47fe4be9d12ea5b09.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:9.093ex; height:2.843ex;" alt="{\displaystyle GL(3,\mathbb {R} )}" loading="lazy"></span></i> (= <i><a href="Lecture_Notes_in_Mathematics" title="Lecture Notes in Mathematics">Lecture Notes in Mathematics</a>.</i> 1083). Springer, Berlin u. a. 1984, ISBN 3-540-13864-1.</li>

<li>mit <a href="Solomon_Friedberg" title="Solomon Friedberg">Solomon Friedberg</a>, <a href="Jeffrey_Hoffstein" title="Jeffrey Hoffstein">Jeffrey Hoffstein</a>: <i>On some applications of automorphic forms to number theory.</i> In: <i><a href="Bulletin_of_the_American_Mathematical_Society" title="Bulletin of the American Mathematical Society">Bulletin of the American Mathematical Society</a>.</i> Band 33, Nr. 2, 1996, S. 157–175, <a href="Digital_Object_Identifier" title="Digital Object Identifier">doi</a>:<span class="uri-handle" style="white-space:nowrap"><a rel="nofollow" class="external text" href="https://doi.org/10.1090/S0273-0979-96-00654-4">10.1090/S0273-0979-96-00654-4</a></span>.</li>

<li><i>Automorphic Forms and Representations</i> (= <i>Cambridge Studies in Advanced Mathematics.</i> 55). Cambridge University Press, Cambridge u. a. 1997, ISBN 0-521-55098-X.</li>

<li><i>Algebraic Geometry.</i> World Scientific, Singapur u. a. 1998, ISBN 981-023561-5.</li>

<li><i>Spectral Theory and the Trace Formula.</i> In: <a href="Joseph_Bernstein" title="Joseph Bernstein">Joseph Bernstein</a>, <a href="Stephen_Gelbart" title="Stephen Gelbart">Stephen Gelbart</a> (Hrsg.): <i>Introduction to the Langlands Program.</i> Birkhäuser, Boston MA u. a. 2003, ISBN 0-8176-3211-5, S. 153–196, <a href="Digital_Object_Identifier" title="Digital Object Identifier">doi</a>:<span class="uri-handle" style="white-space:nowrap"><a rel="nofollow" class="external text" href="https://doi.org/10.1007/978-0-8176-8226-2_8">10.1007/978-0-8176-8226-2_8</a></span>.</li>

<li><i>Lie Groups</i> (= <i>Graduate Texts in Mathematics.</i> 225). Springer, New York NY u. a. 2004, ISBN 0-387-21154-3.</li>

<li>mit Ben Brubaker, Solomon Friedberg: <i>Weyl group multiple Dirichlet Series.</i>

<ul><li>Teil I: mit Gautam Chinta, Jeffrey Hoffstein in: Solomon Friedberg, Daniel Bump, <a href="Dorian_Goldfeld" title="Dorian Goldfeld">Dorian Goldfeld</a>, Jeffrey Hoffstein (Hrsg.): <i>Multiple Dirichlet Series, Automorphic Forms, and Forms and Analytic Number Theory. Proceedings of the Bretton Woods Workshop on Multiple Dirichlet Series, Bretton Woods, New Hampshire, July 11–14, 2005</i> (= <i>Proceedings of Symposia in Pure Mathematics.</i> 75). American Mathematical Society, Providence RI 2006, ISBN 0-8218-3963-2, S. 91–114;</li>

<li>Teil II: <i>The stable case.</i> In: <i><a href="Inventiones_Mathematicae" title="Inventiones Mathematicae">Inventiones Mathematicae</a>.</i> Band 165, Nr. 2, 2006, S. 325–355, <a href="Digital_Object_Identifier" title="Digital Object Identifier">doi</a>:<span class="uri-handle" style="white-space:nowrap"><a rel="nofollow" class="external text" href="https://doi.org/10.1007/s00222-005-0496-2">10.1007/s00222-005-0496-2</a></span>;</li>

<li>Teil III: mit Jeffrey Hoffstein: <i>Eisenstein Series and Twisted <span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle A_{\text{r}}}">

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<annotation encoding="application/x-tex">{\displaystyle A_{\text{r}}}</annotation>

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</math></span><img src="./_assets_/eb734a37dd21ce173a46342d1cc64c92/f875172ccdf9236b7f1558464d1d3dc908e6fe5e.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.62ex; height:2.509ex;" alt="{\displaystyle A_{\text{r}}}" loading="lazy"></span>.</i> In: <i><a href="Annals_of_Mathematics" title="Annals of Mathematics">Annals of Mathematics</a>.</i> Serie 2, Band 166, Nr. 1, 2007, S. 293–316, <a href="JSTOR" title="JSTOR">JSTOR</a>:<a rel="nofollow" class="external text" href="http://www.jstor.org/stable/20160061">20160061</a>.</li></ul></li>

<li>mit Ben Brubaker, Solomon Friedberg: <i>Gauss sum combinatorics and metaplectic Eisenstein series.</i> In: David Ginzburg, Erez Lapid, David Soudry (Hrsg.) <i>Automorphic forms and L-functions I. Global Aspects</i> (= <i><a href="Contemporary_Mathematics" class="mw-redirect" title="Contemporary Mathematics">Contemporary Mathematics</a>.</i> 488). American Mathematical Society u. a., Providence RI u. a. 2009, ISBN 978-0-8218-4706-0, S. 61–81.</li>

<li>mit Ben Brubaker, Solomon Friedberg: <i>Eisenstein series, crystals and ice.</i> In: <i><a href="Notices_of_the_American_Mathematical_Society" title="Notices of the American Mathematical Society">Notices of the American Mathematical Society</a>.</i> Band 58, Nr. 11, Dezember 2011, S. 1563–1571, (<a rel="nofollow" class="external text" href="http://www.ams.org/notices/201111/rtx111101563p.pdf">Digitalisat</a>).</li>

<li>mit Ben Brubaker, Solomon Friedberg: <i>Schur Polynomials and the Yang-Baxter-Equation.</i> In: <i><a href="Communications_in_Mathematical_Physics" title="Communications in Mathematical Physics">Communications in Mathematical Physics</a>.</i> Band 308, Nr. 2, 2011, S. 281–301, <a href="Digital_Object_Identifier" title="Digital Object Identifier">doi</a>:<span class="uri-handle" style="white-space:nowrap"><a rel="nofollow" class="external text" href="https://doi.org/10.1007/s00220-011-1345-3">10.1007/s00220-011-1345-3</a></span>.</li>

<li>mit Ben Brubaker, Solomon Friedberg: <i>Weyl Group Multiple Dirichlet Series, Eisenstein Series and Crystal Basis.</i> In: <i>Annals of Mathematics.</i> Serie 2, Band 173, Nr. 2, 2011, S. 1081–1120, <a href="JSTOR" title="JSTOR">JSTOR</a>:<a rel="nofollow" class="external text" href="http://www.jstor.org/stable/29783225">29783225</a>.</li>

<li>mit Ben Brubaker, Solomon Friedberg: <i>Weyl group multiple Dirichlet series. Type A combinatorial theory</i> (= <i>Annals of Mathematical Studies.</i> 175). Princeton University Press, Princeton NJ u. a. 2011, ISBN 978-0-691-15066-6.</li>

<li>als Herausgeber mit Solomon Friedberg, Dorian Goldfeld: <i>Multiple Dirichlet series, <span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle L}">

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<annotation encoding="application/x-tex">{\displaystyle L}</annotation>

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</math></span><img src="./_assets_/eb734a37dd21ce173a46342d1cc64c92/103168b86f781fe6e9a4a87b8ea1cebe0ad4ede8.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.583ex; height:2.176ex;" alt="{\displaystyle L}" loading="lazy"></span>-functions and automorphic forms</i> (= <i>Progress in Mathematics.</i> 300). Birkhäuser, Boston MA u. a. 2012, ISBN 978-0-8176-8333-7.</li></ul>

<div class="mw-heading mw-heading2"><h2 id="Weblinks">Weblinks</h2></div>

<ul><li><a rel="nofollow" class="external text" href="http://math.stanford.edu/~bump/">Homepage</a></li>

<li><a rel="nofollow" class="external text" href="http://math.mit.edu/~brubaker/bumpconf.html">Konferenz zu seinen Ehren 2012</a></li>

<li><a rel="nofollow" class="external text" href="https://portal.dnb.de/opac.htm?method=simpleSearch&query=110339959">Literatur von und über Daniel Bump</a> im Katalog der <a href="Deutsche_Nationalbibliothek" title="Deutsche Nationalbibliothek">Deutschen Nationalbibliothek</a></li>

<li><a rel="nofollow" class="external text" href="https://zbmath.org/authors/bump.daniel">Daniel Bump</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>

<li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.genealogy.math.ndsu.nodak.edu/id.php?id=36902">Mathematics Genealogy Project</a></span>

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Normdaten (Person): <a href="Gemeinsame_Normdatei" title="Gemeinsame Normdatei">GND</a>: <span class="-print"><a rel="nofollow" class="external text" href="https://d-nb.info/gnd/110339959">110339959</a></span> | <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/n84041723">n84041723</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/32153850/">32153850</a></span> | </div>

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