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mw-first-heading"><span class="mw-page-title-main">Tanja Lange</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Go to an article in another language. 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dir="ltr"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">German cryptographer and mathematician</div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Tanja_Lange_(Portr%C3%A4t).jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7e/Tanja_Lange_%28Portr%C3%A4t%29.jpg/220px-Tanja_Lange_%28Portr%C3%A4t%29.jpg" decoding="async" width="220" height="299" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7e/Tanja_Lange_%28Portr%C3%A4t%29.jpg/330px-Tanja_Lange_%28Portr%C3%A4t%29.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7e/Tanja_Lange_%28Portr%C3%A4t%29.jpg/440px-Tanja_Lange_%28Portr%C3%A4t%29.jpg 2x" data-file-width="448" data-file-height="608" /></a><figcaption>Tanja Lange at 30C3, 2013</figcaption></figure> <p><b>Tanja Lange</b> is a German <a href="/wiki/Cryptography" title="Cryptography">cryptographer</a> and <a href="/wiki/Number_theory" title="Number theory">number theorist</a> at the <a href="/wiki/Eindhoven_University_of_Technology" title="Eindhoven University of Technology">Eindhoven University of Technology</a>. She is known for her research on <a href="/wiki/Post-quantum_cryptography" title="Post-quantum cryptography">post-quantum cryptography</a>.<sup id="cite_ref-pq_1-0" class="reference"><a href="#cite_note-pq-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup><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> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Education_and_career">Education and career</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Tanja_Lange&action=edit&section=1" title="Edit section: Education and career"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Lange earned a diploma in mathematics in 1998 from the <a href="/wiki/Technical_University_of_Braunschweig" title="Technical University of Braunschweig">Technical University of Braunschweig</a>.<sup id="cite_ref-vita_3-0" class="reference"><a href="#cite_note-vita-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> She completed her Ph.D. in 2001 at the <a href="/wiki/Universit%C3%A4t_Duisburg-Essen" class="mw-redirect" title="Universität Duisburg-Essen">Universität Duisburg-Essen</a>. Her dissertation, jointly supervised by <a href="/wiki/Gerhard_Frey" title="Gerhard Frey">Gerhard Frey</a> and <a href="/wiki/YoungJu_Choie" title="YoungJu Choie">YoungJu Choie</a>, concerned <i>Efficient Arithmetic on Hyperelliptic Curves</i>.<sup id="cite_ref-mgp_4-0" class="reference"><a href="#cite_note-mgp-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> </p><p>After postdoctoral studies at <a href="/wiki/Ruhr_University_Bochum" title="Ruhr University Bochum">Ruhr University Bochum</a>, she became an associate professor at the <a href="/wiki/Technical_University_of_Denmark" title="Technical University of Denmark">Technical University of Denmark</a> in 2005. She moved to the <a href="/wiki/Eindhoven_University_of_Technology" title="Eindhoven University of Technology">Eindhoven University of Technology</a> as a full professor in 2007.<sup id="cite_ref-vita_3-1" class="reference"><a href="#cite_note-vita-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p><p>At Eindhoven, she chairs the <a href="/wiki/Coding_theory" title="Coding theory">coding theory</a> and cryptology group<sup id="cite_ref-ctc_5-0" class="reference"><a href="#cite_note-ctc-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> and is scientific director of the Eindhoven Institute for the Protection of Systems and Information.<sup id="cite_ref-eipsi_6-0" class="reference"><a href="#cite_note-eipsi-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> She is also the coordinator of PQCRYPTO, a European multi-university consortium to make electronic communications future-proof against threats such as <a href="/wiki/Shor%27s_algorithm" title="Shor's algorithm">quantum factorization</a>.<sup id="cite_ref-pq_1-1" class="reference"><a href="#cite_note-pq-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> She is one of the main authors of The <i>Handbook of Elliptic and Hyperelliptic Curve Cryptography,</i> published in 2005.<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> <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=Tanja_Lange&action=edit&section=2" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/NaCl_(software)" title="NaCl (software)">NaCl</a>, a cryptography software library developed by Lange and others</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=Tanja_Lange&action=edit&section=3" 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-pq-1"><span class="mw-cite-backlink">^ <a href="#cite_ref-pq_1-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-pq_1-1"><sup><i><b>b</b></i></sup></a></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="CITEREFDysart2018" class="citation cs2">Dysart, Joe (March 6, 2018), <a rel="nofollow" class="external text" href="https://cacm.acm.org/news/225838-hackers-delight-does-quantum-computing-spell-the-end-for-encryption/fulltext">"Hackers' Delight: Does Quantum Computing Spell the End for Encryption?"</a>, <i><a href="/wiki/Communications_of_the_ACM" title="Communications of the ACM">Communications of the ACM</a></i></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Communications+of+the+ACM&rft.atitle=Hackers%27+Delight%3A+Does+Quantum+Computing+Spell+the+End+for+Encryption%3F&rft.date=2018-03-06&rft.aulast=Dysart&rft.aufirst=Joe&rft_id=https%3A%2F%2Fcacm.acm.org%2Fnews%2F225838-hackers-delight-does-quantum-computing-spell-the-end-for-encryption%2Ffulltext&rfr_id=info%3Asid%2Fen.wikipedia.org%3ATanja+Lange" 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"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://icmconference.org/?speaker=langet">"Tanja Lange"</a>. <i>ICMC20, April 28 - May 1, Maryland, USA</i>. 2017-02-20<span class="reference-accessdate">. Retrieved <span class="nowrap">2019-06-14</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=ICMC20%2C+April+28+-+May+1%2C+Maryland%2C+USA&rft.atitle=Tanja+Lange&rft.date=2017-02-20&rft_id=https%3A%2F%2Ficmconference.org%2F%3Fspeaker%3Dlanget&rfr_id=info%3Asid%2Fen.wikipedia.org%3ATanja+Lange" class="Z3988"></span></span> </li> <li id="cite_note-vita-3"><span class="mw-cite-backlink">^ <a href="#cite_ref-vita_3-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-vita_3-1"><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 class="citation cs2"><a rel="nofollow" class="external text" href="https://www.is-its.org/aktuelles/24-hauptnavigation/fernstudiengang-it-sicherheit/dozenten-einzeldarstellung/65-prof-dr-tanja-lange"><i>Prof. Dr. Tanja Lange: Vita</i></a>, International School of IT Security AG<span class="reference-accessdate">, retrieved <span class="nowrap">2018-10-26</span></span></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Prof.+Dr.+Tanja+Lange%3A+Vita&rft.pub=International+School+of+IT+Security+AG&rft_id=https%3A%2F%2Fwww.is-its.org%2Faktuelles%2F24-hauptnavigation%2Ffernstudiengang-it-sicherheit%2Fdozenten-einzeldarstellung%2F65-prof-dr-tanja-lange&rfr_id=info%3Asid%2Fen.wikipedia.org%3ATanja+Lange" class="Z3988"></span></span> </li> <li id="cite_note-mgp-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-mgp_4-0">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="https://mathgenealogy.org/id.php?id=57071">Tanja Lange</a> at the <a href="/wiki/Mathematics_Genealogy_Project" title="Mathematics Genealogy Project">Mathematics Genealogy Project</a></span> </li> <li id="cite_note-ctc-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-ctc_5-0">^</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.win.tue.nl/cc/staff.html"><i>Coding Theory and Cryptology staff</i></a>, <a href="/wiki/Eindhoven_University_of_Technology" title="Eindhoven University of Technology">Eindhoven University of Technology</a><span class="reference-accessdate">, retrieved <span class="nowrap">2018-10-26</span></span></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Coding+Theory+and+Cryptology+staff&rft.pub=Eindhoven+University+of+Technology&rft_id=https%3A%2F%2Fwww.win.tue.nl%2Fcc%2Fstaff.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3ATanja+Lange" class="Z3988"></span></span> </li> <li id="cite_note-eipsi-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-eipsi_6-0">^</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.win.tue.nl/eipsi/staff.html"><i>EIPSI staff</i></a>, <a href="/wiki/Eindhoven_University_of_Technology" title="Eindhoven University of Technology">Eindhoven University of Technology</a><span class="reference-accessdate">, retrieved <span class="nowrap">2018-10-26</span></span></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=EIPSI+staff&rft.pub=Eindhoven+University+of+Technology&rft_id=https%3A%2F%2Fwww.win.tue.nl%2Feipsi%2Fstaff.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3ATanja+Lange" 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"><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.crcpress.com/Handbook-of-Elliptic-and-Hyperelliptic-Curve-Cryptography/Cohen-Frey-Avanzi-Doche-Lange-Nguyen-Vercauteren/p/book/9781584885184">"Handbook of Elliptic and Hyperelliptic Curve Cryptography"</a>. <i>CRC Press</i><span class="reference-accessdate">. Retrieved <span class="nowrap">2019-05-24</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=CRC+Press&rft.atitle=Handbook+of+Elliptic+and+Hyperelliptic+Curve+Cryptography&rft_id=https%3A%2F%2Fwww.crcpress.com%2FHandbook-of-Elliptic-and-Hyperelliptic-Curve-Cryptography%2FCohen-Frey-Avanzi-Doche-Lange-Nguyen-Vercauteren%2Fp%2Fbook%2F9781584885184&rfr_id=info%3Asid%2Fen.wikipedia.org%3ATanja+Lange" 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=Tanja_Lange&action=edit&section=4" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><span class="noviewer" typeof="mw:File"><a href="/wiki/File:Commons-logo.svg" class="mw-file-description"><img alt="" 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