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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">Mikkel Thorup</div></th></tr><tr><th scope="row" class="infobox-label">Born</th><td class="infobox-data">1965 (age 58–59)<br /><div style="display:inline" class="birthplace">Denmark</div></td></tr><tr><th scope="row" class="infobox-label">Alma mater</th><td class="infobox-data"><a href="/wiki/Oxford_University" class="mw-redirect" title="Oxford University">Oxford University</a>, <a href="/wiki/Technical_University_of_Denmark" title="Technical University of Denmark">Technical University of Denmark</a></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/Computer_Science" class="mw-redirect" title="Computer Science">Computer Science</a></td></tr><tr><th scope="row" class="infobox-label">Institutions</th><td class="infobox-data"><a href="/wiki/University_of_Copenhagen" title="University of Copenhagen">University of Copenhagen</a></td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Thesis" title="Thesis">Thesis</a></th><td class="infobox-data"><i><a rel="nofollow" class="external text" href="http://solo.bodleian.ox.ac.uk/primo_library/libweb/action/dlDisplay.do?vid=OXVU1&docId=oxfaleph015289559">Topics in computation</a></i> <span style="font-size:97%;">(1994)</span></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">William F. "Bill" McColl<br />Colin McDiarmid</td></tr><tr style="display:none"><td colspan="2"> </td></tr></tbody></table> <p><b>Mikkel Thorup</b> (born 1965) is a <a href="/wiki/Danish_people" class="mw-redirect" title="Danish people">Danish</a> <a href="/wiki/Computer_scientist" title="Computer scientist">computer scientist</a> working at <a href="/wiki/University_of_Copenhagen" title="University of Copenhagen">University of Copenhagen</a>. He completed his <a href="/wiki/Undergraduate" class="mw-redirect" title="Undergraduate">undergraduate</a> education at <a href="/wiki/Technical_University_of_Denmark" title="Technical University of Denmark">Technical University of Denmark</a> and his doctoral studies at <a href="/wiki/Oxford_University" class="mw-redirect" title="Oxford University">Oxford University</a> in 1993.<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> From 1993 to 1998, he was at University of Copenhagen and from 1998 to 2013 he was at AT&T Labs-Research in New Jersey. Since 2013 he has been at the University of Copenhagen as a Professor and Head of Center for Efficient Algorithms and Data Structures (EADS).<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> </p><p>Thorup's main work is in <a href="/wiki/Algorithms" class="mw-redirect" title="Algorithms">algorithms</a> and <a href="/wiki/Data_structures" class="mw-redirect" title="Data structures">data structures</a>. One of his best-known results is a linear-time algorithm for the single-source shortest paths problem in undirected graphs (Thorup, 1999).<sup id="cite_ref-robbinscitation_3-0" class="reference"><a href="#cite_note-robbinscitation-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> With <a href="/wiki/Mihai_P%C4%83tra%C8%99cu_(computer_scientist)" title="Mihai Pătrașcu (computer scientist)">Mihai Pătraşcu</a> he has shown that simple <a href="/wiki/Tabulation_hashing" title="Tabulation hashing">tabulation hashing</a> schemes achieve the same or similar performance criteria as hash families that have higher independence in worst case, while permitting speedier implementations.<sup id="cite_ref-FOOTNOTEPătraşcuThorup2011_4-0" class="reference"><a href="#cite_note-FOOTNOTEPătraşcuThorup2011-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup><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> </p><p>Thorup has been editor of the area algorithm and data structures for <a href="/wiki/Journal_of_the_ACM" title="Journal of the ACM">Journal of the ACM</a>, and has also served on the editorial boards of <a href="/wiki/SIAM_Journal_on_Computing" title="SIAM Journal on Computing">SIAM Journal on Computing</a>, ACM Transactions on Algorithms, and the Theory of Computing. He has been a <a href="/wiki/List_of_Fellows_of_the_Association_for_Computing_Machinery" class="mw-redirect" title="List of Fellows of the Association for Computing Machinery">Fellow of the Association for Computing Machinery</a> since 2005 for his contributions to algorithms and data structures.<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> He belongs to the <a href="/wiki/Royal_Danish_Academy_of_Sciences_and_Letters" title="Royal Danish Academy of Sciences and Letters">Royal Danish Academy of Sciences and Letters</a> since 2006. In 2010 he was bestowed the AT&T Fellows Honor for “outstanding innovation in algorithms, including advanced hashing and sampling techniques applied to AT&T's Internet traffic analysis and speech services.”<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> </p><p>In 2011 he was co-winner of the David P. Robbins Prize from the <a href="/wiki/Mathematical_Association_of_America" title="Mathematical Association of America">Mathematical Association of America</a> for solving, to within a constant factor, <a href="/wiki/Block-stacking_problem" title="Block-stacking problem">the classic problem of stacking blocks on a table to achieve the maximum possible overhang</a>, i.e., reaching out the furthest horizontal distance from the edge of the table.<sup id="cite_ref-FOOTNOTEPatersonPeresThorupWinkler2009_8-0" class="reference"><a href="#cite_note-FOOTNOTEPatersonPeresThorupWinkler2009-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> “The papers describe an impressive result in discrete mathematics; the problem is easily understood and the arguments, despite their depth, are easily accessible to any motivated undergraduate.” <sup id="cite_ref-robbinscitation_3-1" class="reference"><a href="#cite_note-robbinscitation-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> In 2021 he was co-winner of the Fulkerson Prize for his work with Ken-Ichi Kawarabayashi on fast deterministic algorithms for edge connectivity. <sup id="cite_ref-fulkerson_9-0" class="reference"><a href="#cite_note-fulkerson-9"><span class="cite-bracket">[</span>9<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=Mikkel_Thorup&action=edit&section=1" title="Edit section: Selected publications"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1235681985">.mw-parser-output .side-box{margin:4px 0;box-sizing:border-box;border:1px solid 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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 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.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="CITEREFThorup1999" class="citation journal cs1">Thorup, Mikkel (1999). <a rel="nofollow" class="external text" href="https://doi.org/10.1145%2F316542.316548">"Undirected Single Source Shortest Paths with Positive Integer Weights in Linear Time"</a>. <i><a href="/wiki/Journal_of_the_ACM" title="Journal of the ACM">Journal of the ACM</a></i>. <b>46</b> (3): 362–394. <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/10.1145%2F316542.316548">10.1145/316542.316548</a></span>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a> <a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:207654795">207654795</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Journal+of+the+ACM&rft.atitle=Undirected+Single+Source+Shortest+Paths+with+Positive+Integer+Weights+in+Linear+Time&rft.volume=46&rft.issue=3&rft.pages=362-394&rft.date=1999&rft_id=info%3Adoi%2F10.1145%2F316542.316548&rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A207654795%23id-name%3DS2CID&rft.aulast=Thorup&rft.aufirst=Mikkel&rft_id=https%3A%2F%2Fdoi.org%2F10.1145%252F316542.316548&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMikkel+Thorup" class="Z3988"></span> Announced at FOCS 1997.</li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFPătraşcuThorup2010" class="citation journal cs1">Pătraşcu, Mihai; Thorup, Mikkel (2010). "Higher lower bounds for near-neighbor and further rich problems". <i><a href="/wiki/SIAM_Journal_on_Computing" title="SIAM Journal on Computing">SIAM Journal on Computing</a></i>. <b>39</b> (2): 730–741. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1137%2F070684859">10.1137/070684859</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a> <a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:8324376">8324376</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=SIAM+Journal+on+Computing&rft.atitle=Higher+lower+bounds+for+near-neighbor+and+further+rich+problems&rft.volume=39&rft.issue=2&rft.pages=730-741&rft.date=2010&rft_id=info%3Adoi%2F10.1137%2F070684859&rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A8324376%23id-name%3DS2CID&rft.aulast=P%C4%83tra%C5%9Fcu&rft.aufirst=Mihai&rft.au=Thorup%2C+Mikkel&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMikkel+Thorup" class="Z3988"></span> Preliminary version published in FOCS 2006, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1109%2FFOCS.2006.35">10.1109/FOCS.2006.35</a>.</li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFPătraşcuThorup2011" class="citation conference cs1"><a href="/wiki/Mihai_P%C4%83tra%C8%99cu_(computer_scientist)" title="Mihai Pătrașcu (computer scientist)">Pătraşcu, Mihai</a>; Thorup, Mikkel (2011). "The power of simple tabulation hashing". <i>Proceedings of the 43rd annual ACM Symposium on Theory of Computing (STOC '11)</i>. pp. 1–10. <a href="/wiki/ArXiv_(identifier)" class="mw-redirect" title="ArXiv (identifier)">arXiv</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://arxiv.org/abs/1011.5200">1011.5200</a></span>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1145%2F1993636.1993638">10.1145/1993636.1993638</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=conference&rft.atitle=The+power+of+simple+tabulation+hashing&rft.btitle=Proceedings+of+the+43rd+annual+ACM+Symposium+on+Theory+of+Computing+%28STOC+%2711%29&rft.pages=1-10&rft.date=2011&rft_id=info%3Aarxiv%2F1011.5200&rft_id=info%3Adoi%2F10.1145%2F1993636.1993638&rft.aulast=P%C4%83tra%C5%9Fcu&rft.aufirst=Mihai&rft.au=Thorup%2C+Mikkel&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMikkel+Thorup" class="Z3988"></span>.</li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFPatersonPeresThorupWinkler2009" class="citation journal cs1"><a href="/wiki/Mike_Paterson" title="Mike Paterson">Paterson, Mike</a>; Peres, Yuval; Thorup, Mikkel; Winkler, Peter; <a href="/wiki/Uri_Zwick" title="Uri Zwick">Zwick, Uri</a> (2009). "Maximum overhang". <i>The American Mathematical Monthly</i>. <b>116</b> (9): 763–787. <a href="/wiki/ArXiv_(identifier)" class="mw-redirect" title="ArXiv (identifier)">arXiv</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://arxiv.org/abs/0707.0093">0707.0093</a></span>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.4169%2F000298909x474855">10.4169/000298909x474855</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a> <a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:1713091">1713091</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=The+American+Mathematical+Monthly&rft.atitle=Maximum+overhang&rft.volume=116&rft.issue=9&rft.pages=763-787&rft.date=2009&rft_id=info%3Aarxiv%2F0707.0093&rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A1713091%23id-name%3DS2CID&rft_id=info%3Adoi%2F10.4169%2F000298909x474855&rft.aulast=Paterson&rft.aufirst=Mike&rft.au=Peres%2C+Yuval&rft.au=Thorup%2C+Mikkel&rft.au=Winkler%2C+Peter&rft.au=Zwick%2C+Uri&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMikkel+Thorup" class="Z3988"></span> 2011 MAA Robbins Award.</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=Mikkel_Thorup&action=edit&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="http://genealogy.math.ndsu.nodak.edu/id.php?id=140579">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"><a rel="nofollow" class="external text" href="http://www.diku.dk/~mthorup/">Thorup’s personal home page</a></span> </li> <li id="cite_note-robbinscitation-3"><span class="mw-cite-backlink">^ <a href="#cite_ref-robbinscitation_3-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-robbinscitation_3-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.ams.org/profession/prize-booklet-2011.pdf">Robbins Prize Citation</a></span> </li> <li id="cite_note-FOOTNOTEPătraşcuThorup2011-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEPătraşcuThorup2011_4-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFPătraşcuThorup2011">Pătraşcu & Thorup 2011</a>.</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="http://rjlipton.wordpress.com/2012/04/14/tabulation-hashing-and-independence/">Regan, Tabulation hashing and independence, Gödel’s Lost Letter, April 14, 2012</a>, <a rel="nofollow" class="external text" href="http://blog.computationalcomplexity.org/2011/12/complexity-year-in-review.html">Fortnow, Complexity year in review, December 29, 2011.</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"><a rel="nofollow" class="external text" href="http://fellows.acm.org/fellow_citation.cfm?id=N004960&srt=all">ACM Fellows web site</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20120527041604/http://fellows.acm.org/fellow_citation.cfm?id=N004960&srt=all">Archived</a> 2012-05-27 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a></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="https://archive.today/20120909002553/http://www.research.att.com/people/Thorup_Mikkel/index.html?fbid=yB-M_RHQRxO">AT&T profile page for Mikkel Thorup</a></span> </li> <li id="cite_note-FOOTNOTEPatersonPeresThorupWinkler2009-8"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEPatersonPeresThorupWinkler2009_8-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFPatersonPeresThorupWinkler2009">Paterson et al. 2009</a>.</span> </li> <li id="cite_note-fulkerson-9"><span class="mw-cite-backlink"><b><a href="#cite_ref-fulkerson_9-0">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="https://www.ams.org/news?news_id=6750">Fulkerson Prize Announcement</a></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 dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol ul,.mw-parser-output .hlist ul dl,.mw-parser-output .hlist ul ol,.mw-parser-output .hlist ul ul{display:inline}.mw-parser-output .hlist .mw-empty-li{display:none}.mw-parser-output .hlist dt::after{content:": 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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/Q1659407#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/Q1659407#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/Q1659407#identifiers" title="Edit this at Wikidata"><img alt="Edit this at Wikidata" 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href="https://id.oclc.org/worldcat/entity/E39PBJyrQv6QYYxKvXQFFVvWDq">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/1129293262">Germany</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/0000-0001-5237-1709">ORCID</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.mathgenealogy.org/id.php?id=140579">Mathematics Genealogy Project</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://dl.acm.org/profile/81100560134">Association for Computing Machinery</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.researcherid.com/rid/D-3421-2012">ResearcherID</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.scopus.com/authid/detail.uri?authorId=7005122087">Scopus</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://zbmath.org/authors/?q=ai:thorup.mikkel">zbMATH</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://scholar.google.com/citations?user=UPBuOPIAAAAJ">Google Scholar</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://dblp.org/pid/t/MikkelThorup">DBLP</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://publons.com/author/2739258/">Publons</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" 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