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Neil Sloane - Wikipedia
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Available in 16 languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-16" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">16 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%86%D9%8A%D9%84_%D8%B3%D9%84%D9%88%D8%A7%D9%86" title="نيل سلوان – Arabic" lang="ar" hreflang="ar" data-title="نيل سلوان" data-language-autonym="العربية" data-language-local-name="Arabic" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Neyl_Sloan" title="Neyl Sloan – Azerbaijani" lang="az" hreflang="az" data-title="Neyl Sloan" data-language-autonym="Azərbaycanca" data-language-local-name="Azerbaijani" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%A8%E0%A6%BF%E0%A6%B2_%E0%A6%9C%E0%A7%87%E0%A6%AE%E0%A6%B8_%E0%A6%86%E0%A6%B2%E0%A7%87%E0%A6%95%E0%A7%8D%E0%A6%B8%E0%A6%BE%E0%A6%A8%E0%A7%8D%E0%A6%A1%E0%A6%BE%E0%A6%B0_%E0%A6%B8%E0%A7%8D%E0%A6%B2%E0%A7%8B%E0%A6%AF%E0%A6%BC%E0%A6%BE%E0%A6%A8" title="নিল জেমস আলেক্সান্ডার স্লোয়ান – Bangla" lang="bn" hreflang="bn" data-title="নিল জেমস আলেক্সান্ডার স্লোয়ান" data-language-autonym="বাংলা" data-language-local-name="Bangla" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Neil_Sloane" title="Neil Sloane – German" lang="de" hreflang="de" data-title="Neil Sloane" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Neil_Sloane" title="Neil Sloane – Spanish" lang="es" hreflang="es" data-title="Neil Sloane" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Neil_Sloane" title="Neil Sloane – French" lang="fr" hreflang="fr" data-title="Neil Sloane" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Neil_Sloane" title="Neil Sloane – Indonesian" lang="id" hreflang="id" data-title="Neil Sloane" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesian" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Neil_Sloane" title="Neil Sloane – Italian" lang="it" hreflang="it" data-title="Neil Sloane" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A0%D7%99%D7%9C_%D7%A1%D7%9C%D7%95%D7%90%D7%9F" title="ניל סלואן – Hebrew" lang="he" hreflang="he" data-title="ניל סלואן" data-language-autonym="עברית" data-language-local-name="Hebrew" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-arz mw-list-item"><a href="https://arz.wikipedia.org/wiki/%D9%86%D9%8A%D9%84_%D8%B3%D9%84%D9%88%D8%A7%D9%86" title="نيل سلوان – Egyptian Arabic" lang="arz" hreflang="arz" data-title="نيل سلوان" data-language-autonym="مصرى" data-language-local-name="Egyptian Arabic" class="interlanguage-link-target"><span>مصرى</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%83%8B%E3%83%BC%E3%83%AB%E3%83%BB%E3%82%B9%E3%83%AD%E3%83%BC%E3%83%B3" title="ニール・スローン – Japanese" lang="ja" hreflang="ja" data-title="ニール・スローン" data-language-autonym="日本語" data-language-local-name="Japanese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Neil_Sloane" title="Neil Sloane – Polish" lang="pl" hreflang="pl" data-title="Neil Sloane" data-language-autonym="Polski" data-language-local-name="Polish" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Neil_Sloane" title="Neil Sloane – Portuguese" lang="pt" hreflang="pt" data-title="Neil Sloane" data-language-autonym="Português" data-language-local-name="Portuguese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%A1%D0%BB%D0%BE%D1%83%D0%BD,_%D0%9D%D0%B8%D0%BB" title="Слоун, Нил – Russian" lang="ru" hreflang="ru" data-title="Слоун, Нил" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9D%D1%96%D0%BB_%D0%A1%D0%BB%D0%BE%D1%83%D0%BD" title="Ніл Слоун – Ukrainian" lang="uk" hreflang="uk" data-title="Ніл Слоун" data-language-autonym="Українська" data-language-local-name="Ukrainian" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a 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class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">From Wikipedia, the free encyclopedia</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">British-American mathematician</div> <style data-mw-deduplicate="TemplateStyles:r1257001546">.mw-parser-output .infobox-subbox{padding:0;border:none;margin:-3px;width:auto;min-width:100%;font-size:100%;clear:none;float:none;background-color:transparent}.mw-parser-output .infobox-3cols-child{margin:auto}.mw-parser-output .infobox .navbar{font-size:100%}@media screen{html.skin-theme-clientpref-night .mw-parser-output .infobox-full-data:not(.notheme)>div:not(.notheme)[style]{background:#1f1f23!important;color:#f8f9fa}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .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">Neil Sloane</div></th></tr><tr><td colspan="2" class="infobox-image"><span class="mw-default-size" typeof="mw:File/Frameless"><a href="/wiki/File:N._J._A._Sloane.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/96/N._J._A._Sloane.jpg/220px-N._J._A._Sloane.jpg" decoding="async" width="220" height="293" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/96/N._J._A._Sloane.jpg/330px-N._J._A._Sloane.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/96/N._J._A._Sloane.jpg/440px-N._J._A._Sloane.jpg 2x" data-file-width="600" data-file-height="799" /></a></span><div class="infobox-caption">Neil Sloane in 1997</div></td></tr><tr><th scope="row" class="infobox-label">Born</th><td class="infobox-data"><span style="display:none"> (<span class="bday">1939-10-10</span>) </span>October 10, 1939<span class="noprint ForceAgeToShow"> (age 85)</span><br /><div style="display:inline" class="birthplace"><a href="/wiki/Beaumaris" title="Beaumaris">Beaumaris</a>, Wales<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></div></td></tr><tr><th scope="row" class="infobox-label">Alma mater</th><td class="infobox-data"><a href="/wiki/University_of_Melbourne" title="University of Melbourne">University of Melbourne</a><br /><a href="/wiki/Cornell_University" title="Cornell University">Cornell University</a></td></tr><tr><th scope="row" class="infobox-label">Known for</th><td class="infobox-data">Sphere Packing, Lattices and Groups (with J. H. Conway), The Theory of Error-Correcting Codes (with F. J. MacWilliams), and the <a href="/wiki/On-Line_Encyclopedia_of_Integer_Sequences" title="On-Line Encyclopedia of Integer Sequences">On-Line Encyclopedia of Integer Sequences</a></td></tr><tr><th scope="row" class="infobox-label">Awards</th><td class="infobox-data"><a href="/wiki/Chauvenet_Prize" title="Chauvenet Prize">Chauvenet Prize</a> <small>(1979)</small><br /><a href="/wiki/Claude_E._Shannon_Award" title="Claude E. Shannon Award">Claude E. Shannon Award</a> <span style="font-size:85%;">(1998)</span><br /><a href="/wiki/IEEE_Richard_W._Hamming_Medal" title="IEEE Richard W. Hamming Medal">IEEE Richard W. Hamming Medal</a> <small>(2005)</small></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">Institutions</th><td class="infobox-data"><a href="/wiki/Cornell_University" title="Cornell University">Cornell University</a><br /><a href="/wiki/AT%26T_Bell_Laboratories" class="mw-redirect" title="AT&T Bell Laboratories">AT&T Bell Laboratories</a><br /><a href="/wiki/AT%26T_Labs" title="AT&T Labs">AT&T Labs</a></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/Frederick_Jelinek" title="Frederick Jelinek">Frederick Jelinek</a>, <a href="/wiki/Wolfgang_Heinrich_Johannes_Fuchs" title="Wolfgang Heinrich Johannes Fuchs">Wolfgang Fuchs</a></td></tr><tr style="display:none"><td colspan="2"> </td></tr><tr><th scope="row" class="infobox-label">Website</th><td class="infobox-data"><span class="url"><a rel="nofollow" class="external text" href="http://neilsloane.com">neilsloane<wbr />.com</a></span></td></tr></tbody></table> <p><b>Neil James Alexander Sloane</b> <a href="/wiki/Learned_Society_of_Wales" title="Learned Society of Wales">FLSW</a> (born October 10, 1939) is a British-American <a href="/wiki/Mathematician" title="Mathematician">mathematician</a>.<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> His major contributions are in the fields of <a href="/wiki/Combinatorics" title="Combinatorics">combinatorics</a>, <a href="/wiki/Error-correcting_code" class="mw-redirect" title="Error-correcting code">error-correcting codes</a>, and <a href="/wiki/Sphere_packing" title="Sphere packing">sphere packing</a>. Sloane is best known for being the creator and maintainer of the <a href="/wiki/On-Line_Encyclopedia_of_Integer_Sequences" title="On-Line Encyclopedia of Integer Sequences">On-Line Encyclopedia of Integer Sequences</a> (OEIS).<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Biography">Biography</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Neil_Sloane&action=edit&section=1" title="Edit section: Biography"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Sloane was born in <a href="/wiki/Beaumaris,_Anglesey" class="mw-redirect" title="Beaumaris, Anglesey">Beaumaris, Anglesey</a>, <a href="/wiki/Wales" title="Wales">Wales</a>, in 1939, moving to <a href="/wiki/Cowes" title="Cowes">Cowes</a>, <a href="/wiki/Isle_of_Wight" title="Isle of Wight">Isle of Wight</a>, <a href="/wiki/England" title="England">England</a> in 1946. The family emigrated to <a href="/wiki/Australia" title="Australia">Australia</a>, arriving at the start of 1949. Sloane then moved from <a href="/wiki/Melbourne" title="Melbourne">Melbourne</a> to the <a href="/wiki/United_States" title="United States">United States</a> in 1961.<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> </p><p>He studied at <a href="/wiki/Cornell_University" title="Cornell University">Cornell University</a> under Nick DeClaris, <a href="/wiki/Frank_Rosenblatt" title="Frank Rosenblatt">Frank Rosenblatt</a>, <a href="/wiki/Frederick_Jelinek" title="Frederick Jelinek">Frederick Jelinek</a> and <a href="/wiki/Wolfgang_Heinrich_Johannes_Fuchs" title="Wolfgang Heinrich Johannes Fuchs">Wolfgang Heinrich Johannes Fuchs</a>, receiving his Ph.D. in 1967.<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> His doctoral dissertation was titled <i>Lengths of Cycle Times in <a href="/wiki/Random_neural_network" title="Random neural network">Random Neural Networks</a></i>. Sloane joined <a href="/wiki/Bell_Labs" title="Bell Labs">Bell Labs</a> in 1968 and retired from its successor <a href="/wiki/AT%26T_Labs" title="AT&T Labs">AT&T Labs</a> in 2012. He became an AT&T <a href="/wiki/Fellow" title="Fellow">Fellow</a> in 1998. He is also a <a href="/wiki/Fellow_of_the_Learned_Society_of_Wales" class="mw-redirect" title="Fellow of the Learned Society of Wales">Fellow of the Learned Society of Wales</a>,<sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> an <a href="/wiki/IEEE_Fellow" class="mw-redirect" title="IEEE Fellow">IEEE Fellow</a>, a Fellow of the <a href="/wiki/American_Mathematical_Society" title="American Mathematical Society">American Mathematical Society</a>,<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> and a member of the <a href="/wiki/National_Academy_of_Engineering" title="National Academy of Engineering">National Academy of Engineering</a>. </p><p>He is a winner of a <a href="/wiki/Lester_R._Ford_Award" class="mw-redirect" title="Lester R. Ford Award">Lester R. Ford Award</a> in 1978<sup id="cite_ref-19thCentury_8-0" class="reference"><a href="#cite_note-19thCentury-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> and the <a href="/wiki/Chauvenet_Prize" title="Chauvenet Prize">Chauvenet Prize</a> in 1979.<sup id="cite_ref-19thCentury_8-1" class="reference"><a href="#cite_note-19thCentury-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> In 1998 he was an Invited Speaker of the <a href="/wiki/International_Congress_of_Mathematicians" title="International Congress of Mathematicians">International Congress of Mathematicians</a> in <a href="/wiki/Berlin" title="Berlin">Berlin</a>.<sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup> In 2005 Sloane received the <a href="/wiki/IEEE_Richard_W._Hamming_Medal" title="IEEE Richard W. Hamming Medal">IEEE Richard W. Hamming Medal</a>.<sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup> In 2008 he received the <a href="/wiki/Mathematical_Association_of_America" title="Mathematical Association of America">Mathematical Association of America</a> <a href="/wiki/David_P._Robbins_Prize" title="David P. Robbins Prize">David P. Robbins Prize</a>, and in 2013 the <a href="/wiki/George_P%C3%B3lya_Award" title="George Pólya Award">George Pólya Award</a>. </p><p>In 2014, to celebrate his 75th birthday, Sloane shared some of his favorite integer sequences.<sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup> Besides mathematics, he loves <a href="/wiki/Rock_climbing" title="Rock climbing">rock climbing</a> and has authored two rock-climbing guides to <a href="/wiki/New_Jersey" title="New Jersey">New Jersey</a>.<sup id="cite_ref-12" class="reference"><a href="#cite_note-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> </p><p>He regularly appears in videos for <a href="/wiki/Brady_Haran" title="Brady Haran">Brady Haran</a>'s YouTube channel <a href="/wiki/Numberphile" title="Numberphile">Numberphile</a>.<sup id="cite_ref-13" class="reference"><a href="#cite_note-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Selected_publications">Selected publications</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Neil_Sloane&action=edit&section=2" title="Edit section: Selected publications"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Neil James Alexander Sloane, A Handbook of Integer Sequences, Academic Press, NY, 1973.</li> <li><a href="/wiki/Florence_Jessie_MacWilliams" class="mw-redirect" title="Florence Jessie MacWilliams">Florence Jessie MacWilliams</a> and Neil James Alexander Sloane, The Theory of Error-Correcting Codes, Elsevier/North-Holland, Amsterdam, 1977.<sup id="cite_ref-MacWilliams-Sloane_1977_14-0" class="reference"><a href="#cite_note-MacWilliams-Sloane_1977-14"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-15" class="reference"><a href="#cite_note-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup></li> <li>M. Harwit and Neil James Alexander Sloane, Hadamard Transform Optics, Academic Press, San Diego CA, 1979.</li> <li>Neil James Alexander Sloane and <a href="/wiki/Aaron_D._Wyner" title="Aaron D. Wyner">A. D. Wyner</a>, editors, <a href="/wiki/Claude_Shannon" title="Claude Shannon">Claude Elwood Shannon</a>: Collected Papers, IEEE Press, NY, 1993.</li> <li>Neil James Alexander Sloane and <a href="/wiki/S._Plouffe" class="mw-redirect" title="S. Plouffe">S. Plouffe</a>, The Encyclopedia of Integer Sequences, Academic Press, San Diego, 1995.</li> <li><a href="/wiki/John_Horton_Conway" title="John Horton Conway">J. H. Conway</a> and Neil James Alexander Sloane, Sphere Packings, Lattices and Groups, Springer-Verlag, NY, 1st edn., 1988;<sup id="cite_ref-16" class="reference"><a href="#cite_note-16"><span class="cite-bracket">[</span>16<span class="cite-bracket">]</span></a></sup> 2nd edn., 1993;<sup id="cite_ref-17" class="reference"><a href="#cite_note-17"><span class="cite-bracket">[</span>17<span class="cite-bracket">]</span></a></sup> 3rd ed., 1998.</li> <li>A. S. Hedayat, Neil James Alexander Sloane and J. Stufken, Orthogonal Arrays: Theory and Applications, Springer-Verlag, NY, 1999.</li> <li><a href="/wiki/Gabriele_Nebe" title="Gabriele Nebe">G. Nebe</a>, E. M. Rains and Neil James Alexander Sloane, Self-Dual Codes and Invariant Theory, Springer-Verlag, 2006.</li></ul> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Neil_Sloane&action=edit&section=3" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Reeds%E2%80%93Sloane_algorithm" title="Reeds–Sloane algorithm">Reeds–Sloane algorithm</a></li> <li><a href="/wiki/On-Line_Encyclopedia_of_Integer_Sequences#Sloane's_gap" title="On-Line Encyclopedia of Integer Sequences">Sloane's gap</a></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=Neil_Sloane&action=edit&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"><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="CITEREFRoselle1979" class="citation journal cs1"><a href="/wiki/David_Roselle" title="David Roselle">Roselle, David P.</a> (1979). "Award of the Chauvenet Prize to Dr. Neil J. A. Sloane". <i>American Mathematical Monthly</i>. <b>86</b> (2): 79. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.2307%2F2321940">10.2307/2321940</a>. <a href="/wiki/JSTOR_(identifier)" class="mw-redirect" title="JSTOR (identifier)">JSTOR</a> <a rel="nofollow" class="external text" href="https://www.jstor.org/stable/2321940">2321940</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=American+Mathematical+Monthly&rft.atitle=Award+of+the+Chauvenet+Prize+to+Dr.+Neil+J.+A.+Sloane&rft.volume=86&rft.issue=2&rft.pages=79&rft.date=1979&rft_id=info%3Adoi%2F10.2307%2F2321940&rft_id=https%3A%2F%2Fwww.jstor.org%2Fstable%2F2321940%23id-name%3DJSTOR&rft.aulast=Roselle&rft.aufirst=David+P.&rfr_id=info%3Asid%2Fen.wikipedia.org%3ANeil+Sloane" 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">Sloane's home page <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://NeilSloane.com">"<i>Neil J. A. Sloane: Home Page</i>"</a><span class="reference-accessdate">. Retrieved <span class="nowrap">June 2,</span> 2012</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Neil+J.+A.+Sloane%3A+Home+Page&rft_id=http%3A%2F%2FNeilSloane.com&rfr_id=info%3Asid%2Fen.wikipedia.org%3ANeil+Sloane" 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">Contains information on over three hundred thousand <a href="/wiki/Integer_sequence" title="Integer sequence">integer sequences</a> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://oeis.org">"<i>The On-Line Encyclopedia of Integer Sequences</i>"</a><span class="reference-accessdate">. Retrieved <span class="nowrap">10 October</span> 2019</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft_id=http%3A%2F%2Foeis.org&rfr_id=info%3Asid%2Fen.wikipedia.org%3ANeil+Sloane" 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 class="citation cs2"><a rel="nofollow" class="external text" href="https://www.theguardian.com/science/alexs-adventures-in-numberland/2014/oct/07/neil-sloane-the-man-who-loved-only-integer-sequences">"Neil Sloane: the man who loved only integer sequences"</a>, <i>The Guardian</i>, October 7, 2014</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=The+Guardian&rft.atitle=Neil+Sloane%3A+the+man+who+loved+only+integer+sequences&rft.date=2014-10-07&rft_id=https%3A%2F%2Fwww.theguardian.com%2Fscience%2Falexs-adventures-in-numberland%2F2014%2Foct%2F07%2Fneil-sloane-the-man-who-loved-only-integer-sequences&rfr_id=info%3Asid%2Fen.wikipedia.org%3ANeil+Sloane" 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"><a rel="nofollow" class="external text" href="https://mathgenealogy.org/id.php?id=80980">Neil Sloane</a> at the <a href="/wiki/Mathematics_Genealogy_Project" title="Mathematics Genealogy Project">Mathematics Genealogy Project</a></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 class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.learnedsociety.wales/fellow/neil-sloane/">"Dr Neil Sloane"</a>. <i>Fellows</i>. <a href="/wiki/Learned_Society_of_Wales" title="Learned Society of Wales">Learned Society of Wales</a>. 2015<span class="reference-accessdate">. Retrieved <span class="nowrap">2017-10-16</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Fellows&rft.atitle=Dr+Neil+Sloane&rft.date=2015&rft_id=https%3A%2F%2Fwww.learnedsociety.wales%2Ffellow%2Fneil-sloane%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3ANeil+Sloane" 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"><a rel="nofollow" class="external text" href="http://www.ams.org/profession/fellows-list">List of Fellows of the American Mathematical Society</a>, retrieved 2013-07-20.</span> </li> <li id="cite_note-19thCentury-8"><span class="mw-cite-backlink">^ <a href="#cite_ref-19thCentury_8-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-19thCentury_8-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSloane,_Neil_J._A.1977" class="citation journal cs1">Sloane, Neil J. A. (1977). <a rel="nofollow" class="external text" href="http://www.maa.org/programs/maa-awards/writing-awards/error-correcting-codes-and-invariant-theory-new-applications-of-a-19th-century-technique">"Error correcting codes and invariant theory: new applications of a 19th century technique"</a>. <i>Amer. Math. Monthly</i>. <b>84</b> (2): 82–107. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.2307%2F2319929">10.2307/2319929</a>. <a href="/wiki/JSTOR_(identifier)" class="mw-redirect" title="JSTOR (identifier)">JSTOR</a> <a rel="nofollow" class="external text" href="https://www.jstor.org/stable/2319929">2319929</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Amer.+Math.+Monthly&rft.atitle=Error+correcting+codes+and+invariant+theory%3A+new+applications+of+a+19th+century+technique&rft.volume=84&rft.issue=2&rft.pages=82-107&rft.date=1977&rft_id=info%3Adoi%2F10.2307%2F2319929&rft_id=https%3A%2F%2Fwww.jstor.org%2Fstable%2F2319929%23id-name%3DJSTOR&rft.au=Sloane%2C+Neil+J.+A.&rft_id=http%3A%2F%2Fwww.maa.org%2Fprograms%2Fmaa-awards%2Fwriting-awards%2Ferror-correcting-codes-and-invariant-theory-new-applications-of-a-19th-century-technique&rfr_id=info%3Asid%2Fen.wikipedia.org%3ANeil+Sloane" 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 id="CITEREFSloane,_N._J._A.1998" class="citation book cs1">Sloane, N. J. A. (1998). <a rel="nofollow" class="external text" href="https://www.elibm.org/ft/10011595000">"The sphere packing problem"</a>. <i>Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. III</i>. pp. 387–396.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=The+sphere+packing+problem&rft.btitle=Doc.+Math.+%28Bielefeld%29+Extra+Vol.+ICM+Berlin%2C+1998%2C+vol.+III&rft.pages=387-396&rft.date=1998&rft.au=Sloane%2C+N.+J.+A.&rft_id=https%3A%2F%2Fwww.elibm.org%2Fft%2F10011595000&rfr_id=info%3Asid%2Fen.wikipedia.org%3ANeil+Sloane" 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="https://web.archive.org/web/20100620000223/http://ieee.org/documents/hamming_rl.pdf">"IEEE Richard W. Hamming Medal Recipients"</a> <span class="cs1-format">(PDF)</span>. <a href="/wiki/IEEE" class="mw-redirect" title="IEEE">IEEE</a>. Archived from <a rel="nofollow" class="external text" href="http://www.ieee.org/documents/hamming_rl.pdf">the original</a> <span class="cs1-format">(PDF)</span> on June 20, 2010<span class="reference-accessdate">. Retrieved <span class="nowrap">May 29,</span> 2011</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=IEEE+Richard+W.+Hamming+Medal+Recipients&rft.pub=IEEE&rft_id=http%3A%2F%2Fwww.ieee.org%2Fdocuments%2Fhamming_rl.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3ANeil+Sloane" 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="CITEREFBellos2014" class="citation web cs1">Bellos, Alex (7 October 2014). <a rel="nofollow" class="external text" href="https://www.theguardian.com/science/alexs-adventures-in-numberland/2014/oct/07/neil-sloane-the-man-who-loved-only-integer-sequences">"Neil Sloane: the man who loved integer sequences"</a>. <i>The Guardian</i><span class="reference-accessdate">. Retrieved <span class="nowrap">10 December</span> 2016</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=The+Guardian&rft.atitle=Neil+Sloane%3A+the+man+who+loved+integer+sequences&rft.date=2014-10-07&rft.aulast=Bellos&rft.aufirst=Alex&rft_id=https%3A%2F%2Fwww.theguardian.com%2Fscience%2Falexs-adventures-in-numberland%2F2014%2Foct%2F07%2Fneil-sloane-the-man-who-loved-only-integer-sequences&rfr_id=info%3Asid%2Fen.wikipedia.org%3ANeil+Sloane" class="Z3988"></span></span> </li> <li id="cite_note-12"><span class="mw-cite-backlink"><b><a href="#cite_ref-12">^</a></b></span> <span class="reference-text">Sloane's webpage for the book <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://neilsloane.com/doc/GUIDE00/">"<i>Rock Climbing New Jersey</i>"</a><span class="reference-accessdate">. Retrieved <span class="nowrap">6 December</span> 2012</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Rock+Climbing+New+Jersey&rft_id=http%3A%2F%2Fneilsloane.com%2Fdoc%2FGUIDE00%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3ANeil+Sloane" class="Z3988"></span></span> </li> <li id="cite_note-13"><span class="mw-cite-backlink"><b><a href="#cite_ref-13">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSloanHaran" class="citation news cs1">Sloan, Neil; Haran, Brady. <a rel="nofollow" class="external text" href="https://www.youtube.com/playlist?list=PLt5AfwLFPxWJXQqPe_llzWmTHMPb9QvV2">"Neil Sloane on Numberphile"</a>. YouTube<span class="reference-accessdate">. Retrieved <span class="nowrap">16 May</span> 2019</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Neil+Sloane+on+Numberphile&rft.aulast=Sloan&rft.aufirst=Neil&rft.au=Haran%2C+Brady&rft_id=https%3A%2F%2Fwww.youtube.com%2Fplaylist%3Flist%3DPLt5AfwLFPxWJXQqPe_llzWmTHMPb9QvV2&rfr_id=info%3Asid%2Fen.wikipedia.org%3ANeil+Sloane" class="Z3988"></span></span> </li> <li id="cite_note-MacWilliams-Sloane_1977-14"><span class="mw-cite-backlink"><b><a href="#cite_ref-MacWilliams-Sloane_1977_14-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFMacWilliamsSloane2007" class="citation book cs1 cs1-prop-location-test"><a href="/wiki/Florence_Jessiem_MacWilliams" class="mw-redirect" title="Florence Jessiem MacWilliams">MacWilliams, Florence Jessiem</a>; <a href="/wiki/Neil_James_Alexander_Sloane" class="mw-redirect" title="Neil James Alexander Sloane">Sloane, Neil James Alexander</a> (2007) [1977]. Written at AT&T Shannon Labs, Florham Park, New Jersey, USA. <i>The Theory of Error-Correcting Codes</i>. North-Holland Mathematical Library. Vol. 16 (digital print of 12th impression, 1st ed.). Amsterdam / London / New York / Tokyo: <a href="/wiki/North-Holland_Publishing_Company" class="mw-redirect" title="North-Holland Publishing Company">North-Holland</a> / <a href="/wiki/Elsevier_BV" class="mw-redirect" title="Elsevier BV">Elsevier BV</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-444-85193-2" title="Special:BookSources/978-0-444-85193-2"><bdi>978-0-444-85193-2</bdi></a>. <a href="/wiki/LCCN_(identifier)" class="mw-redirect" title="LCCN (identifier)">LCCN</a> <a rel="nofollow" class="external text" href="https://lccn.loc.gov/76-41296">76-41296</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+Theory+of+Error-Correcting+Codes&rft.place=Amsterdam+%2F+London+%2F+New+York+%2F+Tokyo&rft.series=North-Holland+Mathematical+Library&rft.edition=digital+print+of+12th+impression%2C+1st&rft.pub=North-Holland+%2F+Elsevier+BV&rft.date=2007&rft_id=info%3Alccn%2F76-41296&rft.isbn=978-0-444-85193-2&rft.aulast=MacWilliams&rft.aufirst=Florence+Jessiem&rft.au=Sloane%2C+Neil+James+Alexander&rfr_id=info%3Asid%2Fen.wikipedia.org%3ANeil+Sloane" class="Z3988"></span> (xxii+762+6 pages)</span> </li> <li id="cite_note-15"><span class="mw-cite-backlink"><b><a href="#cite_ref-15">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFPless,_Vera1978" class="citation journal cs1"><a href="/wiki/Vera_Pless" title="Vera Pless">Pless, Vera</a> (1978). <a rel="nofollow" class="external text" href="https://doi.org/10.1090%2Fs0002-9904-1978-14578-9">"Review: <i>The theory of error-correcting codes</i>, I and II, by F. J. MacWilliams and N. J. A. Sloane"</a>. <i>Bull. Amer. Math. Soc</i>. <b>84</b> (6): 1356–1359. <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/10.1090%2Fs0002-9904-1978-14578-9">10.1090/s0002-9904-1978-14578-9</a></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Bull.+Amer.+Math.+Soc.&rft.atitle=Review%3A+The+theory+of+error-correcting+codes%2C+I+and+II%2C+by+F.+J.+MacWilliams+and+N.+J.+A.+Sloane&rft.volume=84&rft.issue=6&rft.pages=1356-1359&rft.date=1978&rft_id=info%3Adoi%2F10.1090%2Fs0002-9904-1978-14578-9&rft.au=Pless%2C+Vera&rft_id=https%3A%2F%2Fdoi.org%2F10.1090%252Fs0002-9904-1978-14578-9&rfr_id=info%3Asid%2Fen.wikipedia.org%3ANeil+Sloane" class="Z3988"></span></span> </li> <li id="cite_note-16"><span class="mw-cite-backlink"><b><a href="#cite_ref-16">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFGuy1989" class="citation journal cs1"><a href="/wiki/Richard_K._Guy" title="Richard K. Guy">Guy, Richard K.</a> (1989). <a rel="nofollow" class="external text" href="https://doi.org/10.1090%2Fs0273-0979-1989-15795-9">"Review: <i>Sphere packings, lattices and groups</i>, by J. H. Conway and N. J. A. Sloane"</a>. <i>Bull. Amer. Math. Soc. (N.S.)</i>. <b>21</b> (1): 142–147. <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/10.1090%2Fs0273-0979-1989-15795-9">10.1090/s0273-0979-1989-15795-9</a></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Bull.+Amer.+Math.+Soc.+%28N.S.%29&rft.atitle=Review%3A+Sphere+packings%2C+lattices+and+groups%2C+by+J.+H.+Conway+and+N.+J.+A.+Sloane&rft.volume=21&rft.issue=1&rft.pages=142-147&rft.date=1989&rft_id=info%3Adoi%2F10.1090%2Fs0273-0979-1989-15795-9&rft.aulast=Guy&rft.aufirst=Richard+K.&rft_id=https%3A%2F%2Fdoi.org%2F10.1090%252Fs0273-0979-1989-15795-9&rfr_id=info%3Asid%2Fen.wikipedia.org%3ANeil+Sloane" class="Z3988"></span></span> </li> <li id="cite_note-17"><span class="mw-cite-backlink"><b><a href="#cite_ref-17">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFRogers1993" class="citation journal cs1"><a href="/wiki/Claude_Ambrose_Rogers" title="Claude Ambrose Rogers">Rogers, C. A.</a> (1993). <a rel="nofollow" class="external text" href="https://doi.org/10.1090%2Fs0273-0979-1993-00435-x">"Review: <i>Sphere packings, lattices and groups</i>, second ed., by J. H. Conway and N. J. A. Sloane"</a>. <i>Bull. Amer. Math. Soc. (N.S.)</i>. <b>29</b> (2): 306–314. <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/10.1090%2Fs0273-0979-1993-00435-x">10.1090/s0273-0979-1993-00435-x</a></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Bull.+Amer.+Math.+Soc.+%28N.S.%29&rft.atitle=Review%3A+Sphere+packings%2C+lattices+and+groups%2C+second+ed.%2C+by+J.+H.+Conway+and+N.+J.+A.+Sloane&rft.volume=29&rft.issue=2&rft.pages=306-314&rft.date=1993&rft_id=info%3Adoi%2F10.1090%2Fs0273-0979-1993-00435-x&rft.aulast=Rogers&rft.aufirst=C.+A.&rft_id=https%3A%2F%2Fdoi.org%2F10.1090%252Fs0273-0979-1993-00435-x&rfr_id=info%3Asid%2Fen.wikipedia.org%3ANeil+Sloane" 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=Neil_Sloane&action=edit&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://mathgenealogy.org/id.php?id=80980">Neil Sloane</a> at the <a href="/wiki/Mathematics_Genealogy_Project" title="Mathematics Genealogy Project">Mathematics Genealogy Project</a></li> <li>IEEE Richard W. Hamming Medal Recipients, <a rel="nofollow" class="external text" href="https://web.archive.org/web/20100408000026/http://www.ieee.org/about/awards/bios/hamming_recipients.html#sect6">2005 – Neil J. A. Sloane</a></li> <li>Neil Sloane's entry in the <a rel="nofollow" class="external text" href="http://www.numericana.com/fame/index.htm#sloane">Numericana Hall of Fame</a></li> <li><a rel="nofollow" class="external text" href="http://www.sciencenews.org/view/generic/id/61870/title/Math_Trek__The_pattern_collector">"The pattern collector"</a>, Science News</li> <li>Doron Zeilberger, <a rel="nofollow" class="external text" href="http://www.math.rutgers.edu/~zeilberg/Opinion124.html">Opinion 124: A Database is Worth a Thousand Mathematical Articles</a></li> <li><a rel="nofollow" class="external text" href="https://oeis.org/A195264/a195264.pdf">Confessions of a Sequence Addict</a>: Neil Sloane</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 dt,.mw-parser-output .hlist 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Shannon Award recipients"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Claude_E._Shannon_Award_recipients" title="Template talk:Claude E. Shannon Award recipients"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Claude_E._Shannon_Award_recipients" title="Special:EditPage/Template:Claude E. Shannon Award recipients"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Claude_E._Shannon_Award" style="font-size:114%;margin:0 4em"><a href="/wiki/Claude_E._Shannon_Award" title="Claude E. Shannon Award">Claude E. Shannon Award</a></div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li>1972 <a href="/wiki/Claude_Shannon" title="Claude Shannon">Claude E. Shannon</a></li> <li><span class="tmp-color" style="color:darkgrey">1973</span></li> <li>1974 <a href="/wiki/David_Slepian" title="David Slepian">David S. Slepian</a></li> <li><span class="tmp-color" style="color:darkgrey">1975</span></li> <li>1976 <a href="/wiki/Robert_Fano" title="Robert Fano">Robert M. Fano</a></li> <li>1977 <a href="/wiki/Peter_Elias" title="Peter Elias">Peter Elias</a></li> <li>1978 <a href="/wiki/Mark_Semenovich_Pinsker" class="mw-redirect" title="Mark Semenovich Pinsker">Mark Semenovich Pinsker</a></li> <li>1979 <a href="/wiki/Jacob_Wolfowitz" title="Jacob Wolfowitz">Jacob Wolfowitz</a></li> <li><span class="tmp-color" style="color:darkgrey">1980</span></li> <li>1981 <a href="/wiki/W._Wesley_Peterson" title="W. Wesley Peterson">W. Wesley Peterson</a></li> <li>1982 <a href="/wiki/Irving_S._Reed" title="Irving S. Reed">Irving S. Reed</a></li> <li>1983 <a href="/wiki/Robert_G._Gallager" title="Robert G. Gallager">Robert G. Gallager</a></li> <li><span class="tmp-color" style="color:darkgrey">1984</span></li> <li>1985 <a href="/wiki/Solomon_W._Golomb" title="Solomon W. Golomb">Solomon W. Golomb</a></li> <li>1986 <a href="/wiki/William_Lucas_Root" title="William Lucas Root">William Lucas Root</a></li> <li><span class="tmp-color" style="color:darkgrey">1987</span></li> <li>1988 <a href="/wiki/James_Massey" title="James Massey">James Massey</a></li> <li><span class="tmp-color" style="color:darkgrey">1989</span></li> <li>1990 <a href="/wiki/Thomas_M._Cover" title="Thomas M. Cover">Thomas M. Cover</a></li> <li>1991 <a href="/wiki/Andrew_Viterbi" title="Andrew Viterbi">Andrew Viterbi</a></li> <li><span class="tmp-color" style="color:darkgrey">1992</span></li> <li>1993 <a href="/wiki/Elwyn_Berlekamp" title="Elwyn Berlekamp">Elwyn Berlekamp</a></li> <li>1994 <a href="/wiki/Aaron_D._Wyner" title="Aaron D. Wyner">Aaron D. Wyner</a></li> <li>1995 <a href="/wiki/Dave_Forney" title="Dave Forney">George David Forney</a></li> <li>1996 <a href="/wiki/Imre_Csisz%C3%A1r" title="Imre Csiszár">Imre Csiszár</a></li> <li>1997 <a href="/wiki/Jacob_Ziv" title="Jacob Ziv">Jacob Ziv</a></li> <li>1998 <a class="mw-selflink selflink">Neil Sloane</a></li> <li>1999 <a href="/wiki/Tadao_Kasami" title="Tadao Kasami">Tadao Kasami</a></li> <li>2000 <a href="/wiki/Thomas_Kailath" title="Thomas Kailath">Thomas Kailath</a></li> <li>2001 <a href="/wiki/Jack_Wolf" title="Jack Wolf">Jack Keil Wolf</a></li> <li>2002 <a href="/wiki/Toby_Berger" title="Toby Berger">Toby Berger</a></li> <li>2003 <a href="/wiki/Lloyd_R._Welch" title="Lloyd R. Welch">Lloyd R. Welch</a></li> <li>2004 <a href="/wiki/Robert_McEliece" title="Robert McEliece">Robert McEliece</a></li> <li>2005 <a href="/wiki/Richard_Blahut" title="Richard Blahut">Richard Blahut</a></li> <li>2006 <a href="/wiki/Rudolf_Ahlswede" title="Rudolf Ahlswede">Rudolf Ahlswede</a></li> <li>2007 <a href="/wiki/Sergio_Verd%C3%BA" title="Sergio Verdú">Sergio Verdú</a></li> <li>2008 <a href="/wiki/Robert_M._Gray" title="Robert M. Gray">Robert M. Gray</a></li> <li>2009 <a href="/wiki/Jorma_Rissanen" title="Jorma Rissanen">Jorma Rissanen</a></li> <li>2010 <a href="/wiki/Te_Sun_Han" title="Te Sun Han">Te Sun Han</a></li> <li>2011 <a href="/wiki/Shlomo_Shamai" title="Shlomo Shamai">Shlomo Shamai</a> (Shitz)</li> <li>2012 <a href="/wiki/Abbas_El_Gamal" title="Abbas El Gamal">Abbas El Gamal</a></li> <li>2013 <a href="/wiki/Katalin_Marton" title="Katalin Marton">Katalin Marton</a></li> <li>2014 <a href="/wiki/J%C3%A1nos_K%C3%B6rner" title="János Körner">János Körner</a></li> <li>2015 <a href="/wiki/Robert_Calderbank" title="Robert Calderbank">Robert Calderbank</a></li> <li>2016 <a href="/wiki/Alexander_Holevo" title="Alexander Holevo">Alexander Holevo</a></li> <li>2017 <a href="/wiki/David_Tse" title="David Tse">David Tse</a></li> <li>2018 <a href="/wiki/Gottfried_Ungerboeck" title="Gottfried Ungerboeck">Gottfried Ungerboeck</a></li> <li>2019 <a href="/wiki/Erdal_Ar%C4%B1kan" title="Erdal Arıkan">Erdal Arıkan</a></li> <li>2020 <a href="/wiki/Charles_H._Bennett_(physicist)" title="Charles H. Bennett (physicist)">Charles Bennett</a></li> <li>2021 <a href="/wiki/Alon_Orlitsky" title="Alon Orlitsky">Alon Orlitsky</a></li> <li>2022 <a href="/wiki/Raymond_W._Yeung" title="Raymond W. Yeung">Raymond W. Yeung</a></li> <li>2023 <a href="/wiki/R%C3%BCdiger_Urbanke" title="Rüdiger Urbanke">Rüdiger Urbanke</a></li> <li>2024 Andrew Barron</li></ul> </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"></div><div role="navigation" class="navbox" aria-labelledby="IEEE_Richard_W._Hamming_Medal" 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"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Richard_W._Hamming_Medal_recipients" title="Template:Richard W. Hamming Medal recipients"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Richard_W._Hamming_Medal_recipients" title="Template talk:Richard W. Hamming Medal recipients"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Richard_W._Hamming_Medal_recipients" title="Special:EditPage/Template:Richard W. Hamming Medal recipients"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="IEEE_Richard_W._Hamming_Medal" style="font-size:114%;margin:0 4em"><a href="/wiki/IEEE_Richard_W._Hamming_Medal" title="IEEE Richard W. Hamming Medal">IEEE Richard W. Hamming Medal</a></div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><span class="nowrap"><a href="/wiki/Richard_Hamming" title="Richard Hamming">Richard Hamming</a> (1988)</span></li> <li><span class="nowrap"><a href="/wiki/Irving_S._Reed" title="Irving S. Reed">Irving S. Reed</a> (1989)</span></li> <li><span class="nowrap"><a href="/wiki/Dennis_Ritchie" title="Dennis Ritchie">Dennis Ritchie</a> / <a href="/wiki/Ken_Thompson" title="Ken Thompson">Ken Thompson</a> (1990)</span></li> <li><span class="nowrap"><a href="/wiki/Elwyn_Berlekamp" title="Elwyn Berlekamp">Elwyn Berlekamp</a> (1991)</span></li> <li><span class="nowrap"><a href="/wiki/Lotfi_A._Zadeh" title="Lotfi A. Zadeh">Lotfi A. Zadeh</a> (1992)</span></li> <li><span class="nowrap"><a href="/wiki/Jorma_Rissanen" title="Jorma Rissanen">Jorma Rissanen</a> (1993)</span></li> <li><span class="nowrap"><a href="/wiki/Gottfried_Ungerboeck" title="Gottfried Ungerboeck">Gottfried Ungerboeck</a> (1994)</span></li> <li><span class="nowrap"><a href="/wiki/Yaakov_Ziv" class="mw-redirect" title="Yaakov Ziv">Jacob Ziv</a> (1995)</span></li> <li><span class="nowrap"><a href="/wiki/Mark_Semenovich_Pinsker" class="mw-redirect" title="Mark Semenovich Pinsker">Mark Semenovich Pinsker</a> (1996)</span></li> <li><span class="nowrap"><a href="/wiki/Thomas_M._Cover" title="Thomas M. Cover">Thomas M. Cover</a> (1997)</span></li> <li><span class="nowrap"><a href="/wiki/David_D._Clark" title="David D. Clark">David D. Clark</a> (1998)</span></li> <li><span class="nowrap"><a href="/wiki/David_A._Huffman" title="David A. Huffman">David A. Huffman</a> (1999)</span></li> <li><span class="nowrap"><a href="/wiki/Solomon_W._Golomb" title="Solomon W. Golomb">Solomon W. Golomb</a> (2000)</span></li> <li><span class="nowrap"><a href="/wiki/Alexander_G._Fraser" title="Alexander G. Fraser">Alexander G. Fraser</a> (2001)</span></li> <li><span class="nowrap"><a href="/wiki/Peter_Elias" title="Peter Elias">Peter Elias</a> (2002)</span></li> <li><span class="nowrap"><a href="/wiki/Claude_Berrou" title="Claude Berrou">Claude Berrou</a> / <a href="/wiki/Alain_Glavieux" title="Alain Glavieux">Alain Glavieux</a> (2003)</span></li> <li><span class="nowrap"><a href="/wiki/Jack_Wolf" title="Jack Wolf">Jack K. Wolf</a> (2004)</span></li> <li><span class="nowrap"><a class="mw-selflink selflink">Neil Sloane</a> (2005)</span></li> <li><span class="nowrap"><a href="/wiki/Vladimir_Levenshtein" title="Vladimir Levenshtein">Vladimir Levenshtein</a> (2006)</span></li> <li><span class="nowrap"><a href="/wiki/Abraham_Lempel" title="Abraham Lempel">Abraham Lempel</a> (2007)</span></li> <li><span class="nowrap"><a href="/wiki/Sergio_Verd%C3%BA" title="Sergio Verdú">Sergio Verdú</a> (2008)</span></li> <li><span class="nowrap"><a href="/wiki/Peter_Franaszek" title="Peter Franaszek">Peter Franaszek</a> (2009)</span></li> <li><span class="nowrap"><a href="/wiki/Whitfield_Diffie" title="Whitfield Diffie">Whitfield Diffie</a> / <a href="/wiki/Martin_Hellman" title="Martin Hellman">Martin Hellman</a> / <a href="/wiki/Ralph_Merkle" title="Ralph Merkle">Ralph Merkle</a> (2010)</span></li> <li><span class="nowrap"><a href="/wiki/Toby_Berger" title="Toby Berger">Toby Berger</a> (2011)</span></li> <li><span class="nowrap"><a href="/wiki/Michael_Luby" title="Michael Luby">Michael Luby</a> / <a href="/wiki/Amin_Shokrollahi" title="Amin Shokrollahi">Amin Shokrollahi</a> (2012)</span></li> <li><span class="nowrap"><a href="/wiki/Robert_Calderbank" title="Robert Calderbank">Robert Calderbank</a> (2013)</span></li> <li><span class="nowrap">Thomas Richardson / <a href="/wiki/R%C3%BCdiger_Urbanke" title="Rüdiger Urbanke">Rüdiger Urbanke</a> (2014)</span></li> <li><span class="nowrap"><a href="/wiki/Imre_Csisz%C3%A1r" title="Imre Csiszár">Imre Csiszár</a> (2015)</span></li> <li><span class="nowrap"><a href="/wiki/Abbas_El_Gamal" title="Abbas El Gamal">Abbas El Gamal</a> (2016)</span></li> <li><span class="nowrap"><a href="/wiki/Shlomo_Shamai" title="Shlomo Shamai">Shlomo Shamai</a> (2017)</span></li> <li><span class="nowrap"><a href="/wiki/Erdal_Ar%C4%B1kan" title="Erdal Arıkan">Erdal Arıkan</a> (2018)</span></li> <li><span class="nowrap"><a href="/wiki/David_Tse" title="David Tse">David Tse</a> (2019)</span></li> <li><span class="nowrap"><a href="/wiki/Cynthia_Dwork" title="Cynthia Dwork">Cynthia Dwork</a> (2020)</span></li></ul> </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"></div><div role="navigation" class="navbox" aria-labelledby="Chauvenet_Prize_recipients" style="padding:3px"><table class="nowraplinks mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Chauvenet_Prize_recipients" title="Template:Chauvenet Prize recipients"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Chauvenet_Prize_recipients" title="Template talk:Chauvenet Prize recipients"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Chauvenet_Prize_recipients" title="Special:EditPage/Template:Chauvenet Prize recipients"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Chauvenet_Prize_recipients" style="font-size:114%;margin:0 4em"><a href="/wiki/Chauvenet_Prize" title="Chauvenet Prize">Chauvenet Prize</a> recipients</div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li>1925 <a href="/wiki/Gilbert_Ames_Bliss" title="Gilbert Ames Bliss">G. A. Bliss</a></li> <li>1929 <a href="/wiki/Theophil_Henry_Hildebrandt" title="Theophil Henry Hildebrandt">T. H. Hildebrandt</a></li> <li>1932 <a href="/wiki/G._H._Hardy" title="G. H. Hardy">G. H. Hardy</a></li> <li>1935 <a href="/wiki/Dunham_Jackson" title="Dunham Jackson">Dunham Jackson</a></li> <li>1938 <a href="/wiki/Gordon_Thomas_Whyburn" class="mw-redirect" title="Gordon Thomas Whyburn">G. T. Whyburn</a></li> <li>1941 <a href="/wiki/Saunders_Mac_Lane" title="Saunders Mac Lane">Saunders Mac Lane</a></li> <li>1944 <a href="/wiki/Robert_Horton_Cameron" title="Robert Horton Cameron">R. H. Cameron</a></li> <li>1947 <a href="/wiki/Paul_Halmos" title="Paul Halmos">Paul Halmos</a></li> <li>1950 <a href="/wiki/Mark_Kac" title="Mark Kac">Mark Kac</a></li> <li>1953 <a href="/wiki/Edward_J._McShane" title="Edward J. McShane">E. J. McShane</a></li> <li>1956 <a href="/wiki/R._H._Bruck" title="R. H. Bruck">Richard H. Bruck</a></li> <li>1960 <a href="/wiki/Cornelius_Lanczos" title="Cornelius Lanczos">Cornelius Lanczos</a></li> <li>1963 <a href="/wiki/Philip_J._Davis" title="Philip J. Davis">Philip J. Davis</a></li> <li>1964 <a href="/wiki/Leon_Henkin" title="Leon Henkin">Leon Henkin</a></li> <li>1965 <a href="/wiki/Jack_K._Hale" title="Jack K. Hale">Jack K. Hale</a> and <a href="/wiki/Joseph_P._LaSalle" title="Joseph P. LaSalle">Joseph P. LaSalle</a></li> <li>1967 <a href="/wiki/Guido_Weiss" title="Guido Weiss">Guido Weiss</a></li> <li>1968 <a href="/wiki/Mark_Kac" title="Mark Kac">Mark Kac</a></li> <li>1970 <a href="/wiki/Shiing-Shen_Chern" title="Shiing-Shen Chern">Shiing-Shen Chern</a></li> <li>1971 <a href="/wiki/Norman_Levinson" title="Norman Levinson">Norman Levinson</a></li> <li>1972 <a href="/wiki/Fran%C3%A7ois_Tr%C3%A8ves" title="François Trèves">François Trèves</a></li> <li>1973 <a href="/wiki/Carl_D._Olds" title="Carl D. Olds">Carl D. Olds</a></li> <li>1974 <a href="/wiki/Peter_Lax" title="Peter Lax">Peter D. Lax</a></li> <li>1975 <a href="/wiki/Martin_Davis_(mathematician)" title="Martin Davis (mathematician)">Martin Davis</a> and <a href="/wiki/Reuben_Hersh" title="Reuben Hersh">Reuben Hersh</a></li> <li>1976 <a href="/wiki/Lawrence_Zalcman" title="Lawrence Zalcman">Lawrence Zalcman</a></li> <li>1977 <a href="/wiki/Gilbert_Strang" title="Gilbert Strang">W. Gilbert Strang</a></li> <li>1978 <a href="/wiki/Shreeram_Shankar_Abhyankar" title="Shreeram Shankar Abhyankar">Shreeram S. Abhyankar</a></li> <li>1979 <a class="mw-selflink selflink">Neil J. A. Sloane</a></li> <li>1980 <a href="/wiki/Heinz_Bauer" title="Heinz Bauer">Heinz Bauer</a></li> <li>1981 <a href="/wiki/Kenneth_I._Gross" title="Kenneth I. Gross">Kenneth I. Gross</a></li> <li>1982 No award given.</li> <li>1983 No award given.</li> <li>1984 <a href="/w/index.php?title=R._Arthur_Knoebel&action=edit&redlink=1" class="new" title="R. Arthur Knoebel (page does not exist)">R. Arthur Knoebel</a></li> <li>1985 <a href="/wiki/Carl_Pomerance" title="Carl Pomerance">Carl Pomerance</a></li> <li>1986 <a href="/w/index.php?title=George_Miel&action=edit&redlink=1" class="new" title="George Miel (page does not exist)">George Miel</a></li> <li>1987 <a href="/wiki/James_H._Wilkinson" title="James H. Wilkinson">James H. Wilkinson</a></li> <li>1988 <a href="/wiki/Stephen_Smale" title="Stephen Smale">Stephen Smale</a></li> <li>1989 <a href="/wiki/Jacob_Korevaar" title="Jacob Korevaar">Jacob Korevaar</a></li> <li>1990 <a href="/wiki/David_Allen_Hoffman" title="David Allen Hoffman">David Allen Hoffman</a></li> <li>1991 <a href="/wiki/W._B._R._Lickorish" title="W. B. R. Lickorish">W. B. Raymond Lickorish</a> and <a href="/wiki/Kenneth_Millett" title="Kenneth Millett">Kenneth C. Millett</a></li> <li>1992 <a href="/wiki/Steven_G._Krantz" title="Steven G. Krantz">Steven G. Krantz</a></li> <li>1993 <a href="/wiki/David_H._Bailey_(mathematician)" title="David H. Bailey (mathematician)">David H. Bailey</a>, <a href="/wiki/Jonathan_Borwein" title="Jonathan Borwein">Jonathan M. Borwein</a> and <a href="/wiki/Peter_Borwein" title="Peter Borwein">Peter B. Borwein</a></li> <li>1994 <a href="/wiki/Barry_Mazur" title="Barry Mazur">Barry Mazur</a></li> <li>1995 <a href="/wiki/Donald_G._Saari" title="Donald G. Saari">Donald G. Saari</a></li> <li>1996 <a href="/wiki/Joan_Birman" title="Joan Birman">Joan Birman</a></li> <li>1997 <a href="/wiki/Thomas_W._Hawkins_Jr." title="Thomas W. Hawkins Jr.">Tom Hawkins</a></li> <li>1998 <a href="/wiki/Alan_Edelman" title="Alan Edelman">Alan Edelman</a> and <a href="/w/index.php?title=Eric_Kostlan&action=edit&redlink=1" class="new" title="Eric Kostlan (page does not exist)">Eric Kostlan</a></li> <li>1999 <a href="/wiki/Michael_Rosen_(mathematician)" title="Michael Rosen (mathematician)">Michael I. Rosen</a></li> <li>2000 <a href="/wiki/Don_Zagier" title="Don Zagier">Don Zagier</a></li> <li>2001 <a href="/wiki/Carolyn_S._Gordon" title="Carolyn S. Gordon">Carolyn S. Gordon</a> and <a href="/wiki/David_Webb_(mathematician)" title="David Webb (mathematician)">David L. Webb</a></li> <li>2002 <a href="/wiki/Ellen_Gethner" title="Ellen Gethner">Ellen Gethner</a>, <a href="/wiki/Stan_Wagon" title="Stan Wagon">Stan Wagon</a>, and <a href="/w/index.php?title=Brian_Wick&action=edit&redlink=1" class="new" title="Brian Wick (page does not exist)">Brian Wick</a></li> <li>2003 <a href="/wiki/Thomas_Callister_Hales" title="Thomas Callister Hales"> Thomas C. Hales</a></li> <li>2004 <a href="/wiki/Edward_Burger" title="Edward Burger">Edward B. Burger</a></li> <li>2005 <a href="/wiki/John_Stillwell" title="John Stillwell">John Stillwell</a></li> <li>2006 <a href="/w/index.php?title=Florian_Pfender&action=edit&redlink=1" class="new" title="Florian Pfender (page does not exist)">Florian Pfender</a> & <a href="/wiki/G%C3%BCnter_M._Ziegler" title="Günter M. Ziegler">Günter M. Ziegler</a></li> <li>2007 <a href="/w/index.php?title=Andrew_J._Simoson&action=edit&redlink=1" class="new" title="Andrew J. Simoson (page does not exist)">Andrew J. Simoson</a></li> <li>2008 <a href="/wiki/Andrew_Granville" title="Andrew Granville">Andrew Granville</a></li> <li>2009 <a href="/wiki/Harold_P._Boas" title="Harold P. Boas">Harold P. Boas</a></li> <li>2010 <a href="/w/index.php?title=Brian_J._McCartin&action=edit&redlink=1" class="new" title="Brian J. McCartin (page does not exist)">Brian J. McCartin</a></li> <li>2011 <a href="/wiki/Bjorn_Poonen" title="Bjorn Poonen">Bjorn Poonen</a></li> <li>2012 <a href="/wiki/Dennis_DeTurck" title="Dennis DeTurck">Dennis DeTurck</a>, <a href="/w/index.php?title=Herman_Gluck&action=edit&redlink=1" class="new" title="Herman Gluck (page does not exist)">Herman Gluck</a>, <a href="/w/index.php?title=Daniel_Pomerleano&action=edit&redlink=1" class="new" title="Daniel Pomerleano (page does not exist)">Daniel Pomerleano</a> & <a href="/w/index.php?title=David_Shea_Vela-Vick&action=edit&redlink=1" class="new" title="David Shea Vela-Vick (page does not exist)">David Shea Vela-Vick</a></li> <li>2013 <a href="/wiki/Robert_Ghrist" title="Robert Ghrist">Robert Ghrist</a></li> <li>2014 <a href="/wiki/Ravi_Vakil" title="Ravi Vakil">Ravi Vakil</a></li> <li>2015 <a href="/w/index.php?title=Dana_Mackenzie&action=edit&redlink=1" class="new" title="Dana Mackenzie (page does not exist)">Dana Mackenzie</a></li> <li>2016 <a href="/wiki/Susan_H._Marshall" title="Susan H. Marshall">Susan H. Marshall</a> & <a href="/w/index.php?title=Donald_R._Smith_(academic)&action=edit&redlink=1" class="new" title="Donald R. Smith (academic) (page does not exist)">Donald R. Smith</a></li> <li>2017 <a href="/w/index.php?title=Mark_Schilling_(mathematician)&action=edit&redlink=1" class="new" title="Mark Schilling (mathematician) (page does not exist)">Mark Schilling</a></li> <li>2018 <a href="/w/index.php?title=Daniel_J._Velleman&action=edit&redlink=1" class="new" title="Daniel J. Velleman (page does not exist)">Daniel J. Velleman</a></li> <li>2019 <a href="/wiki/Tom_Leinster" title="Tom Leinster">Tom Leinster</a></li> <li>2020 <a href="/w/index.php?title=Vladimir_Pozdnyakov&action=edit&redlink=1" class="new" title="Vladimir Pozdnyakov (page does not exist)">Vladimir Pozdnyakov</a> & <a href="/wiki/J._Michael_Steele" title="J. Michael Steele">J. Michael Steele</a></li> <li>2021 <a href="/w/index.php?title=Travis_Kowalski&action=edit&redlink=1" class="new" title="Travis Kowalski (page does not exist)">Travis Kowalski</a></li> <li>2022 <a href="/wiki/William_Dunham_(mathematician)" title="William Dunham (mathematician)">William Dunham</a>, <a href="/wiki/Ezra_Brown" title="Ezra Brown">Ezra Brown</a> & <a href="/w/index.php?title=Matthew_Crawford_(mathematician)&action=edit&redlink=1" class="new" title="Matthew Crawford (mathematician) (page does not exist)">Matthew Crawford</a></li> <li>2023 <a href="/w/index.php?title=Kimmo_Eriksson&action=edit&redlink=1" class="new" title="Kimmo Eriksson (page does not exist)">Kimmo Eriksson</a> & <a href="/wiki/Jonas_Eliasson" title="Jonas Eliasson">Jonas Eliasson</a></li> <li>2024 <a href="/w/index.php?title=Jeffrey_Whitmer&action=edit&redlink=1" class="new" title="Jeffrey Whitmer (page does not exist)">Jeffrey Whitmer</a></li></ul> </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&#124;text-top&#124;10px&#124;alt=Edit_this_at_Wikidata&#124;link=https&#58;//www.wikidata.org/wiki/Q1333178#identifiers&#124;class=noprint&#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&#124;text-top&#124;10px&#124;alt=Edit_this_at_Wikidata&#124;link=https&#58;//www.wikidata.org/wiki/Q1333178#identifiers&#124;class=noprint&#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/Q1333178#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, //upload.wikimedia.org/wikipedia/en/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/20px-OOjs_UI_icon_edit-ltr-progressive.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">International</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://isni.org/isni/0000000110444439">ISNI</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://viaf.org/viaf/22202750">VIAF</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://id.oclc.org/worldcat/entity/E39PBJkxMTp4hRF7pFQhVrjXBP">WorldCat</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">National</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://d-nb.info/gnd/121291553">Germany</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://id.loc.gov/authorities/n87858331">United States</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://catalogue.bnf.fr/ark:/12148/cb12279965g">France</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://data.bnf.fr/ark:/12148/cb12279965g">BnF data</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://aleph.nkp.cz/F/?func=find-c&local_base=aut&ccl_term=ica=jn20010601328&CON_LNG=ENG">Czech Republic</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://data.bibliotheken.nl/id/thes/p068625715">Netherlands</a></span></li><li><span class="uid"><span class="rt-commentedText tooltip tooltip-dotted" title="Sloane, N. J. A. (Neil James Alexander), 1939-"><a rel="nofollow" class="external text" href="https://kopkatalogs.lv/F?func=direct&local_base=lnc10&doc_number=000067617&P_CON_LNG=ENG">Latvia</a></span></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://libris.kb.se/0xbd9xfj2d3jnlt">Sweden</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://olduli.nli.org.il/F/?func=find-b&local_base=NLX10&find_code=UID&request=987007447324005171">Israel</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://opac.kbr.be/LIBRARY/doc/AUTHORITY/14800420">Belgium</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://orcid.org/0000-0001-7386-5222">ORCID</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.mathgenealogy.org/id.php?id=80980">Mathematics Genealogy Project</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.scopus.com/authid/detail.uri?authorId=24541358100">Scopus</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://zbmath.org/authors/?q=ai:sloane.neil-j-a">zbMATH</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://dblp.org/pid/s/NeilJASloane">DBLP</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet/MRAuthorID/163680">MathSciNet</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">People</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.deutsche-digitale-bibliothek.de/person/gnd/121291553">DDB</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-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.idref.fr/031619304">IdRef</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://snaccooperative.org/ark:/99166/w6xn14hh">SNAC</a></span></li></ul></div></td></tr></tbody></table></div> <!-- NewPP limit report Parsed by mw‐web.codfw.main‐f69cdc8f6‐jvw68 Cached time: 20241122142925 Cache expiry: 2592000 Reduced expiry: false Complications: [vary‐revision‐sha1, no‐toc] CPU time usage: 0.480 seconds Real time usage: 0.609 seconds Preprocessor visited node count: 3179/1000000 Post‐expand include size: 79938/2097152 bytes Template argument size: 3720/2097152 bytes Highest expansion depth: 12/100 Expensive parser function count: 1/500 Unstrip recursion depth: 1/20 Unstrip post‐expand size: 90626/5000000 bytes Lua time usage: 0.312/10.000 seconds Lua memory usage: 7287917/52428800 bytes Number of Wikibase entities loaded: 1/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 528.862 1 -total 30.04% 158.875 1 Template:Infobox_scientist 27.92% 147.656 1 Template:Reflist 16.62% 87.922 3 Template:Navbox 16.27% 86.057 1 Template:Short_description 16.02% 84.744 1 Template:Claude_E._Shannon_Award_recipients 14.83% 78.434 5 Template:Cite_journal 9.85% 52.109 1 Template:Birth_date_and_age 8.98% 47.469 21 Template:Main_other 7.61% 40.240 1 Template:Infobox --> <!-- Saved in parser cache with key enwiki:pcache:idhash:400062-0!canonical and timestamp 20241122142925 and revision id 1245748876. 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