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Charles Rackoff - Wikipedia

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.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">Charles Rackoff</div></th></tr><tr><th scope="row" class="infobox-label">Born</th><td class="infobox-data">26 November 1948<span style="display:none">&#160;(<span class="dtstart bday">1948-11-26</span>)</span> (age&#160;<span class="currentage"></span>76)<br /><div style="display:inline" class="birthplace"><a href="/wiki/New_York_City" title="New York City">New York City</a></div></td></tr><tr><th scope="row" class="infobox-label">Alma&#160;mater</th><td class="infobox-data"><a href="/wiki/Massachusetts_Institute_of_Technology" title="Massachusetts Institute of Technology">Massachusetts Institute of Technology</a></td></tr><tr><th scope="row" class="infobox-label">Awards</th><td class="infobox-data"><a href="/wiki/G%C3%B6del_Prize" title="Gödel Prize">Gödel Prize</a> (1993)</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">Fields</th><td class="infobox-data category"><a href="/wiki/Cryptology" class="mw-redirect" title="Cryptology">Cryptology</a></td></tr><tr><th scope="row" class="infobox-label">Institutions</th><td class="infobox-data"><a href="/wiki/University_of_Toronto" title="University of Toronto">University of Toronto</a></td></tr><tr><th scope="row" class="infobox-label">Doctoral students</th><td class="infobox-data"><a href="/wiki/Richard_Cleve" title="Richard Cleve">Richard Cleve</a></td></tr><tr style="display:none"><td colspan="2"> </td></tr></tbody></table> <p><b>Charles Weill Rackoff</b> is an American cryptologist. Born and raised in New York City, he attended <a href="/wiki/MIT" class="mw-redirect" title="MIT">MIT</a> as both an undergraduate and graduate student,<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup> and earned a Ph.D. degree in Computer Science in 1974. He spent a year as a postdoctoral scholar at <a href="/wiki/Institut_national_de_recherche_en_informatique_et_en_automatique" class="mw-redirect" title="Institut national de recherche en informatique et en automatique">INRIA</a> in France. </p><p>Rackoff currently works at the <a href="/wiki/University_of_Toronto" title="University of Toronto">University of Toronto</a>. His research interests are in <a href="/wiki/Computational_complexity_theory" title="Computational complexity theory">computational complexity theory</a>. For some time now, he has been specializing in <a href="/wiki/Cryptography" title="Cryptography">cryptography</a> and security protocols. In 1988, he collaborated with <a href="/wiki/Michael_Luby" title="Michael Luby">Michael Luby</a> in a widely cited analysis of the <a href="/wiki/Feistel_cipher" title="Feistel cipher">Feistel cipher</a> construction (one important result shown there is the construction of a strongly pseudo random permutation generator from a pseudo random function generator). Rackoff was awarded the 1993 <a href="/wiki/G%C3%B6del_Prize" title="Gödel Prize">Gödel Prize</a> for his work on <a href="/wiki/Interactive_proof_systems" class="mw-redirect" title="Interactive proof systems">interactive proof systems</a> and for being one of the co-inventors of <a href="/wiki/Zero-knowledge_proofs" class="mw-redirect" title="Zero-knowledge proofs">zero-knowledge proofs</a>.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">&#91;</span>3<span class="cite-bracket">&#93;</span></a></sup> In 2011, he won the <a href="/wiki/RSA_Award_for_Excellence_in_Mathematics" title="RSA Award for Excellence in Mathematics">RSA Award for Excellence in Mathematics</a> for his various contributions to cryptography. </p><p>Rackoff's controversial comments on the 2000 memorial for the victims of the <a href="/wiki/Montreal_Massacre" class="mw-redirect" title="Montreal Massacre">Montreal Massacre</a> were reported in the Canadian media.<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">&#91;</span>4<span class="cite-bracket">&#93;</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=Charles_Rackoff&amp;action=edit&amp;section=1" title="Edit section: Selected publications"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Shafi_Goldwasser" title="Shafi Goldwasser">S. Goldwasser</a>, <a href="/wiki/Silvio_Micali" title="Silvio Micali">S. Micali</a> and C. Rackoff, "The knowledge complexity of interactive proof systems", <a href="/wiki/SIAM_Journal_on_Computing" title="SIAM Journal on Computing">SIAM Journal on Computing</a>, 18, 1989, pp.&#160;186–208.</li> <li>C. Rackoff and D. Simon, "Non-interactive zero-knowledge proof of knowledge and the chosen cipertext attack", in <a href="/wiki/International_Cryptology_Conference" class="mw-redirect" title="International Cryptology Conference">Proceedings of Crypto</a> 91, pp.&#160;433–444.</li> <li>C. Rackoff and D. Simon, "Cryptographic defense against traffic analysis", in Proceedings of the 25th <a href="/wiki/Association_for_Computing_Machinery" title="Association for Computing Machinery">ACM</a> Symposium on Theory of Computing, May 1993, pp.&#160;672–681.</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=Charles_Rackoff&amp;action=edit&amp;section=2" 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"><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"><a rel="nofollow" class="external text" href="https://mathgenealogy.org/id.php?id=81229">Charles Rackoff</a> at the <a href="/wiki/Mathematics_Genealogy_Project" title="Mathematics Genealogy Project">Mathematics Genealogy Project</a></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"><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 class="citation web cs1"><a rel="nofollow" class="external text" href="https://archive.today/20100716200535/http://www.sigact.org/prizes/godel/">"Gödel Prize"</a>. www.sigact.org. Archived from <a rel="nofollow" class="external text" href="http://www.sigact.org/Prizes/godel/">the original</a> on 2010-07-16<span class="reference-accessdate">. Retrieved <span class="nowrap">2010-12-14</span></span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=G%C3%B6del+Prize&amp;rft.pub=www.sigact.org&amp;rft_id=http%3A%2F%2Fwww.sigact.org%2FPrizes%2Fgodel%2F&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ACharles+Rackoff" 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"><a rel="nofollow" class="external text" href="http://www.cs.toronto.edu/dcs/people-faculty-rackoff.html">Computer Science: Prof. Rackoff</a></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 news cs1"><a rel="nofollow" class="external text" href="https://www.cbc.ca/amp/1.235652">"Professor criticizes Montreal massacre memorials"</a>. Canadian Broadcasting Corporation. 7 December 2000. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20090829131423/http://www.cbc.ca/canada/story/2000/12/07/massacre_email001207.html">Archived</a> from the original on 29 August 2009.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.atitle=Professor+criticizes+Montreal+massacre+memorials&amp;rft.date=2000-12-07&amp;rft_id=https%3A%2F%2Fwww.cbc.ca%2Famp%2F1.235652&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ACharles+Rackoff" class="Z3988"></span></span> </li> </ol></div></div> <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 li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline 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href="/wiki/Template:G%C3%B6del_Prize_laureates" title="Template:Gödel Prize laureates"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:G%C3%B6del_Prize_laureates" title="Template talk:Gödel Prize laureates"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:G%C3%B6del_Prize_laureates" title="Special:EditPage/Template:Gödel Prize laureates"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Gödel_Prize_laureates" style="font-size:114%;margin:0 4em"><a href="/wiki/G%C3%B6del_Prize" title="Gödel Prize">Gödel Prize</a> laureates</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><a href="/wiki/L%C3%A1szl%C3%B3_Babai" title="László Babai">Babai</a> / <a href="/wiki/Shafi_Goldwasser" title="Shafi Goldwasser">Goldwasser</a> / <a href="/wiki/Silvio_Micali" title="Silvio Micali">Micali</a> / <a href="/wiki/Shlomo_Moran" title="Shlomo Moran">Moran</a> / <a class="mw-selflink selflink">Rackoff</a> (1993)</li> <li><a href="/wiki/Johan_H%C3%A5stad" title="Johan Håstad">Håstad</a> (1994)</li> <li><a href="/wiki/Neil_Immerman" title="Neil Immerman">Immerman</a> / <a href="/wiki/R%C3%B3bert_Szelepcs%C3%A9nyi" title="Róbert Szelepcsényi">Szelepcsényi</a> (1995)</li> <li><a href="/wiki/Mark_Jerrum" title="Mark Jerrum">Jerrum</a> / <a href="/wiki/Alistair_Sinclair" title="Alistair Sinclair">Sinclair</a> (1996)</li> <li><a href="/wiki/Joseph_Halpern" title="Joseph Halpern">Halpern</a> / <a href="/wiki/Yoram_Moses" title="Yoram Moses">Moses</a> (1997)</li> <li><a href="/wiki/Seinosuke_Toda" title="Seinosuke Toda">Toda</a> (1998)</li> <li><a href="/wiki/Peter_Shor" title="Peter Shor">Shor</a> (1999)</li> <li><a href="/wiki/Moshe_Y._Vardi" class="mw-redirect" title="Moshe Y. Vardi">Vardi</a> / <a href="/wiki/Pierre_Wolper" title="Pierre Wolper">Wolper</a> (2000)</li> <li><a href="/wiki/Sanjeev_Arora" title="Sanjeev Arora">Arora</a> / <a href="/wiki/Uriel_Feige" title="Uriel Feige">Feige</a> / <a href="/wiki/Shafi_Goldwasser" title="Shafi Goldwasser">Goldwasser</a> / <a href="/wiki/Carsten_Lund" title="Carsten Lund">Lund</a> / <a href="/wiki/L%C3%A1szl%C3%B3_Lov%C3%A1sz" title="László Lovász">Lovász</a> / <a href="/wiki/Rajeev_Motwani" title="Rajeev Motwani">Motwani</a> / <a href="/wiki/Shmuel_Safra" title="Shmuel Safra">Safra</a> / <a href="/wiki/Madhu_Sudan" title="Madhu Sudan">Sudan</a> / <a href="/wiki/Mario_Szegedy" title="Mario Szegedy">Szegedy</a> (2001)</li> <li><a href="/wiki/G%C3%A9raud_S%C3%A9nizergues" title="Géraud Sénizergues">Sénizergues</a> (2002)</li> <li><a href="/wiki/Yoav_Freund" title="Yoav Freund">Freund</a> / <a href="/wiki/Robert_Schapire" title="Robert Schapire">Schapire</a> (2003)</li> <li><a href="/wiki/Maurice_Herlihy" title="Maurice Herlihy">Herlihy</a> / <a href="/wiki/Michael_Saks_(mathematician)" title="Michael Saks (mathematician)">Saks</a> / <a href="/wiki/Nir_Shavit" title="Nir Shavit">Shavit</a> / <a href="/wiki/Fotios_Zaharoglou" title="Fotios Zaharoglou">Zaharoglou</a> (2004)</li> <li><a href="/wiki/Noga_Alon" title="Noga Alon">Alon</a> / <a href="/wiki/Yossi_Matias" title="Yossi Matias">Matias</a> / <a href="/wiki/Mario_Szegedy" title="Mario Szegedy">Szegedy</a> (2005)</li> <li><a href="/wiki/Manindra_Agrawal" title="Manindra Agrawal">Agrawal</a> / <a href="/wiki/Neeraj_Kayal" title="Neeraj Kayal">Kayal</a> / <a href="/wiki/Nitin_Saxena" title="Nitin Saxena">Saxena</a> (2006)</li> <li><a href="/wiki/Alexander_Razborov" title="Alexander Razborov">Razborov</a> / <a href="/wiki/Steven_Rudich" title="Steven Rudich">Rudich</a> (2007)</li> <li><a href="/wiki/Shang-Hua_Teng" title="Shang-Hua Teng">Teng</a> / <a href="/wiki/Daniel_Spielman" title="Daniel Spielman">Spielman</a> (2008)</li> <li><a href="/wiki/Omer_Reingold" title="Omer Reingold">Reingold</a> / <a href="/wiki/Salil_Vadhan" title="Salil Vadhan">Vadhan</a> / <a href="/wiki/Avi_Wigderson" title="Avi Wigderson">Wigderson</a> (2009)</li> <li><a href="/wiki/Sanjeev_Arora" title="Sanjeev Arora">Arora</a> / <a href="/wiki/Joseph_S._B._Mitchell" title="Joseph S. B. Mitchell">Mitchell</a> (2010)</li> <li><a href="/wiki/Johan_H%C3%A5stad" title="Johan Håstad">Håstad</a> (2011)</li> <li><a href="/wiki/Elias_Koutsoupias" title="Elias Koutsoupias">Koutsoupias</a> / <a href="/wiki/Christos_Papadimitriou" title="Christos Papadimitriou">Papadimitriou</a> / <a href="/wiki/Tim_Roughgarden" title="Tim Roughgarden">Roughgarden</a> / <a href="/wiki/%C3%89va_Tardos" title="Éva Tardos">É. Tardos</a> / <a href="/wiki/Noam_Nisan" title="Noam Nisan">Nisan</a> / <a href="/wiki/Amir_Ronen" title="Amir Ronen">Ronen</a> (2012)</li> <li><a href="/wiki/Dan_Boneh" title="Dan Boneh">Boneh</a> / <a href="/wiki/Matthew_K._Franklin" title="Matthew K. Franklin">Franklin</a> / <a href="/wiki/Antoine_Joux" title="Antoine Joux">Joux</a> (2013)</li> <li><a href="/wiki/Ronald_Fagin" title="Ronald Fagin">Fagin</a> / <a href="/w/index.php?title=Amnon_Lotem&amp;action=edit&amp;redlink=1" class="new" title="Amnon Lotem (page does not exist)">Lotem</a> / <a href="/wiki/Moni_Naor" title="Moni Naor">Naor</a> (2014)</li> <li><a href="/wiki/Daniel_Spielman" title="Daniel Spielman">Spielman</a> / <a href="/wiki/Shang-Hua_Teng" title="Shang-Hua Teng">Teng</a> (2015)</li> <li><a href="/w/index.php?title=Stephen_Brookes_(computer_scientist)&amp;action=edit&amp;redlink=1" class="new" title="Stephen Brookes (computer scientist) (page does not exist)">Brookes</a> / <a href="/wiki/Peter_O%27Hearn" title="Peter O&#39;Hearn">O'Hearn</a> (2016)</li> <li><a href="/wiki/Cynthia_Dwork" title="Cynthia Dwork">Dwork</a> / <a href="/wiki/Frank_McSherry" title="Frank McSherry">McSherry</a> / <a href="/wiki/Kobbi_Nissim" title="Kobbi Nissim">Nissim</a> / <a href="/wiki/Adam_D._Smith" title="Adam D. Smith">Smith</a> (2017)</li> <li><a href="/wiki/Oded_Regev_(Computer_Scientist)" class="mw-redirect" title="Oded Regev (Computer Scientist)">Regev</a> (2018)</li> <li><a href="/wiki/Irit_Dinur" title="Irit Dinur">Dinur</a> (2019)</li> <li><a href="/w/index.php?title=Robin_Moser&amp;action=edit&amp;redlink=1" class="new" title="Robin Moser (page does not exist)">Moser</a> / <a href="/wiki/G%C3%A1bor_Tardos" title="Gábor Tardos">G. Tardos</a> (2020)</li> <li><a href="/w/index.php?title=Andrei_A._Bulatov&amp;action=edit&amp;redlink=1" class="new" title="Andrei A. Bulatov (page does not exist)">Bulatov</a> / <a href="/wiki/Jin-Yi_Cai" title="Jin-Yi Cai">Cai</a> / <a href="/wiki/Xi_Chen" title="Xi Chen">Chen</a> / <a href="/wiki/Martin_Dyer" title="Martin Dyer">Dyer</a> / <a href="/w/index.php?title=David_Richerby&amp;action=edit&amp;redlink=1" class="new" title="David Richerby (page does not exist)">Richerby</a> (2021)</li> <li><a href="/wiki/Zvika_Brakerski" title="Zvika Brakerski">Brakerski</a> / <a href="/wiki/Craig_Gentry_(computer_scientist)" title="Craig Gentry (computer scientist)">Gentry</a> / <a href="/wiki/Vinod_Vaikuntanathan" title="Vinod Vaikuntanathan">Vaikuntanathan</a> (2022)</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 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databases</a> <span class="mw-valign-text-top noprint" typeof="mw:File/Frameless"><a href="https://www.wikidata.org/wiki/Q93097#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/000000010890546X">ISNI</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://viaf.org/viaf/39950593">VIAF</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://id.oclc.org/worldcat/entity/E39PBJrgJXbfPrjtmgdXh3pByd">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/1102140848">Germany</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://id.loc.gov/authorities/n79061785">United States</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://data.bibliotheken.nl/id/thes/p068365071">Netherlands</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://olduli.nli.org.il/F/?func=find-b&amp;local_base=NLX10&amp;find_code=UID&amp;request=987007327464505171">Israel</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://www.mathgenealogy.org/id.php?id=81229">Mathematics Genealogy Project</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://dl.acm.org/profile/81100492944">Association for Computing Machinery</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://zbmath.org/authors/?q=ai:rackoff.charles-w">zbMATH</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://dblp.org/pid/88/1341">DBLP</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet/MRAuthorID/143460">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/1102140848">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"><span class="rt-commentedText tooltip tooltip-dotted" title="Weill Rackoff, Charles"><a rel="nofollow" class="external text" href="https://www.idref.fr/160291283">IdRef</a></span></span><ul><li><span class="uid"><span class="rt-commentedText tooltip tooltip-dotted" title="Rackoff, Charles W. 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