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<title>James Maynard</title>

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<h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">James Maynard</span></h1>

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<p><b>James Maynard</b> (* <a href="10._Juni" title="10. Juni">10. Juni</a> <a href="1987" title="1987">1987</a> in <a href="Chelmsford" title="Chelmsford">Chelmsford</a>) ist ein britischer <a href="Mathematiker" title="Mathematiker">Mathematiker</a>, der sich mit <a href="Analytische_Zahlentheorie" title="Analytische Zahlentheorie">analytischer Zahlentheorie</a> und speziell <a href="Siebtheorie" title="Siebtheorie">Siebmethoden</a> befasst. 2022 erhielt er die <a href="Fields-Medaille" title="Fields-Medaille">Fields-Medaille</a>.

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<div class="mw-heading mw-heading2"><h2 id="Leben_und_Werk">Leben und Werk</h2></div>

<p>Maynard studierte Mathematik bis zum Master-Abschluss an der <a href="University_of_Cambridge" title="University of Cambridge">University of Cambridge</a> und wurde 2013 an der <a href="University_of_Oxford" title="University of Oxford">University of Oxford</a> bei <a href="Roger_Heath-Brown" title="Roger Heath-Brown">Roger Heath-Brown</a> promoviert (<i>Topics in Analytic Number Theory</i>).<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> Als <a href="Post-Doktorand" class="mw-redirect" title="Post-Doktorand">Post-Doktorand</a> war er 2013/14 an der <a href="Universit%C3%A4t_Montreal" title="Universität Montreal">Universität Montreal</a> und ab 2014 Fellow des Magdalen College in Oxford.<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>Maynard wurde 2017 in Oxford zum Research Professor berufen.<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> Er ist Fellow<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> des <a href="St_John%E2%80%99s_College_(Oxford)" title="St John’s College (Oxford)">St John’s College (Oxford)</a>.

</p><p>2013 verschärfte er mit einer unabhängigen Methode ein Ergebnis von <a href="Yitang_Zhang" title="Yitang Zhang">Yitang Zhang</a> aus dem Umfeld der <a href="Primzahlzwilling" title="Primzahlzwilling">Primzahlzwillings</a>-Vermutung, indem er bewies, dass es unendlich viele Primzahlpaare mit Differenz kleiner gleich 600 gibt. Die Schranke wurde inzwischen weiter gesenkt. Außerdem zeigte er mit seiner Methode, dass es unendlich viele m-Tupel von aufeinanderfolgenden Primzahlen gibt mit beschränktem Abstand.

</p><p>In der Würdigung zum SASTRA-Ramanujan Preis ist auch seine Dissertation erwähnt, seine Arbeit von 2013 (Acta Arithmetica) erwähnt mit der schärfsten bisher bekannten Form der Brun-Titchmarsh-Ungleichung und seine Arbeit in Mathematika von 2014, in der er alle bisher bekannten Resultate über fast-prime k-Tupel verschärft.

</p><p>2016<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> bewies er eine Vermutung von <a href="Paul_Erd%C3%B6s" class="mw-redirect" title="Paul Erdös">Paul Erdös</a> über <a href="Primzahll%C3%BCcke" title="Primzahllücke">Primzahllücken</a>, auf die dieser ein Preisgeld von 10.000 US-Dollar ausgesetzt hatte. Unabhängig bewiesen dies <a href="Terence_Tao" title="Terence Tao">Terence Tao</a> und Kollegen.<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> 2019 bewies Maynard zusammen mit Dmitris Koukoulopoulos die <a href="Duffin-Schaeffer-Vermutung" title="Duffin-Schaeffer-Vermutung">Duffin-Schaeffer-Vermutung</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>

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

<ul><li>2014 <a href="SASTRA_Ramanujan_Prize" title="SASTRA Ramanujan Prize">SASTRA Ramanujan Prize</a><sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup></li>

<li>2015 <a href="Whitehead-Preis" title="Whitehead-Preis">Whitehead-Preis</a></li>

<li>2015 Clay Research Fellow<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></li>

<li>2016 <a href="EMS-Preis" title="EMS-Preis">EMS-Preis</a></li>

<li>2018 eingeladener Sprecher auf dem ICM (<i>Gaps between primes</i>)</li>

<li>2020 <a href="Colepreis" title="Colepreis">Colepreis</a> in Zahlentheorie</li>

<li>2020 Mitglied der <a href="Academia_Europaea" title="Academia Europaea">Academia Europaea</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></li>

<li>2022 <a href="Fields-Medaille" title="Fields-Medaille">Fields-Medaille</a> für „Beiträge zur analytischen Zahlentheorie, die zu wichtigen Fortschritten beim Verständnis der Struktur von Primzahlen und bei der diophantischen Approximation geführt haben“<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></li>

<li>2023 Mitglied der <a href="Royal_Society" title="Royal Society">Royal Society</a></li></ul>

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

<ul><li><i>3-tuples have at most 7 prime factors infinitely often.</i> In: <i>Proc. Cambridge Philosophical Society.</i> Band 155, 2013, S. 443–457, <a rel="nofollow" class="external text" href="http://arxiv.org/abs/1205.5021">Arxiv</a></li>

<li><i>On the Brun-Titchmarsh Theorem.</i> In: <i>Acta Arithmetica.</i> Band 157, 2013, S. 249–296, <a rel="nofollow" class="external text" href="http://arxiv.org/abs/1201.1777">Arxiv</a></li>

<li><i>Almost-prime k-tuples.</i> In: <i>Mathematika.</i> Band 60, 2014, S. 108–138, <a rel="nofollow" class="external text" href="http://arxiv.org/abs/1205.4610">Arxiv</a></li>

<li><i>Large gaps between primes.</i> 2014, In: <i>Ann. of Math.</i> (2) Band 183, 2016, Nr. 3, S. 915–933, <a rel="nofollow" class="external text" href="http://arxiv.org/abs/1408.5110">Arxiv</a></li>

<li><i>Small gaps between primes.</i> In: <i>Annals of Mathematics.</i> Band 181, 2015, S. 383–413, <a rel="nofollow" class="external text" href="http://arxiv.org/abs/1311.4600">Arxiv</a></li>

<li>mit Ford, Green, Konyagin, Tao: <i>Long gaps between primes.</i> In: <i>J. Amer. Math. Soc.</i> Band 31, 2018, Nr. 1, S. 65–105.</li>

<li><i>Primes with restricted digits.</i> In: <i>Invent. Math.</i> Band 217, 2019, Nr. 1, S. 127–218.</li>

<li>mit Koukoulopoulos: <i>On the Duffin-Schaeffer conjecture.</i> In: <i>Ann. of Math.</i> (2) Band 192, 2020, Nr. 1, S. 251–307.</li></ul>

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

<ul><li><a href="Andrei_Okounkov" class="mw-redirect" title="Andrei Okounkov">Andrei Okounkov</a>: <i>Rhymes in primes</i>, ICM 2022, <a rel="nofollow" class="external text" href="https://arxiv.org/abs/2207.03867">Arxiv</a> (Laudatio Fields Medal)</li></ul>

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

<div class="sisterproject" style="margin:0.1em 0 0 0;"><div class="noresize noviewer" style="display:inline-block; line-height:10px; min-width:1.6em; text-align:center;" aria-hidden="true" role="presentation"><span class="mw-default-size" typeof="mw:File"><span title="Commons"></span></span></div><b><span class=""><a class="external text" href="https://commons.wikimedia.org/wiki/Category:James_Maynard_(mathematician)?uselang=de"><span lang="en">Commons</span>: James Maynard</a></span></b> – Sammlung von Bildern, Videos und Audiodateien</div>

<ul><li><a rel="nofollow" class="external text" href="http://www.magd.ox.ac.uk/member-of-staff/james-maynard/">Homepage in Oxford</a></li>

<li><a rel="nofollow" class="external text" href="https://www.quantamagazine.org/james-maynard-solves-the-hardest-easy-math-problems-20200701/">Erica Klarreich: A Number Theorist Who Solves the Hardest Easy Problems</a>, Quanta Magazine, 5. Juli 2022</li></ul>

<div class="mw-heading mw-heading2"><h2 id="Einzelnachweise_und_Anmerkungen">Einzelnachweise und Anmerkungen</h2></div>

<li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="https://www.mathgenealogy.org/id.php?id=178890">James Maynard</a> im <a href="Mathematics_Genealogy_Project" title="Mathematics Genealogy Project">Mathematics Genealogy Project</a> (englisch) <span style="display:none">Vorlage:MathGenealogyProject/Wartung/id verwendet</span></span>

</li>

<li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text"><span class="cite"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20210416070215/https://www.magd.ox.ac.uk/research/jrf/maynard/"><i>James Maynard: Prime Numbers.</i></a> Archiviert vom <style data-mw-deduplicate="TemplateStyles:r250917974">

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</style><span class="dewiki-iconexternal"><a class="external text" href="https://redirecter.toolforge.org/?url=https%3A%2F%2Fwww.magd.ox.ac.uk%2Fresearch%2Fjrf%2Fmaynard%2F">Original</a></span> am <span style="white-space:nowrap;">16. April 2021</span><span>;</span><span class="Abrufdatum"> abgerufen am 4. Juli 2022</span>.</span><span style="display: none;" class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rfr_id=info%3Asid%2Fde.wikipedia.org%3AJames+Maynard&rft.title=James+Maynard%3A+Prime+Numbers&rft.description=James+Maynard%3A+Prime+Numbers&rft.identifier=https%3A%2F%2Fweb.archive.org%2Fweb%2F20210416070215%2Fhttps%3A%2F%2Fwww.magd.ox.ac.uk%2Fresearch%2Fjrf%2Fmaynard%2F&rft.date=&rft.source=https://www.magd.ox.ac.uk/research/jrf/maynard/"> </span></span>

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<li id="cite_note-3"><span class="mw-cite-backlink"><a href="#cite_ref-3">↑</a></span> <span class="reference-text"><span class="cite"><a rel="nofollow" class="external text" href="https://www.maths.ox.ac.uk/node/26989"><i>James Maynard appointed Research Professor and receives a Wolfson Merit Award from the Royal Society.</i></a> 4. April 2018<span style="display:none">;</span><span class="Abrufdatum" style="display:none"> abgerufen im 1. Januar 1</span>.</span><span style="display: none;" class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rfr_id=info%3Asid%2Fde.wikipedia.org%3AJames+Maynard&rft.title=James+Maynard+appointed+Research+Professor+and+receives+a+Wolfson+Merit+Award+from+the+Royal+Society&rft.description=James+Maynard+appointed+Research+Professor+and+receives+a+Wolfson+Merit+Award+from+the+Royal+Society&rft.identifier=&rft.date=2018-04-04"> </span></span>

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<li id="cite_note-4"><span class="mw-cite-backlink"><a href="#cite_ref-4">↑</a></span> <span class="reference-text"><span class="cite"><a rel="nofollow" class="external text" href="https://www.sjc.ox.ac.uk/discover/people/professor-james-maynard/"><i>Professor James Maynard, St John's College, Oxford.</i></a><span class="Abrufdatum" style="display:none"> Abgerufen im 1. Januar 1</span></span><span style="display: none;" class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rfr_id=info%3Asid%2Fde.wikipedia.org%3AJames+Maynard&rft.title=Professor+James+Maynard%2C+St+John%27s+College%2C+Oxford&rft.description=Professor+James+Maynard%2C+St+John%27s+College%2C+Oxford&rft.identifier=&rft.date="> </span></span>

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<li id="cite_note-5"><span class="mw-cite-backlink"><a href="#cite_ref-5">↑</a></span> <span class="reference-text">James Maynard, Large gaps between primes, Annals of Mathematics, Band 183, 2016, S. 915–922</span>

</li>

<li id="cite_note-6"><span class="mw-cite-backlink"><a href="#cite_ref-6">↑</a></span> <span class="reference-text">Kevin Ford, Ben Green, Sergei Konyagin, Terence Tao, Large gaps between consecutive prime numbers, Ann. of Math., Band 183, 2016, S. 935–974</span>

</li>

<li id="cite_note-7"><span class="mw-cite-backlink"><a href="#cite_ref-7">↑</a></span> <span class="reference-text">Koukoulopoulos, Maynard: On the Duffin-Schaeffer conjecture, <a rel="nofollow" class="external text" href="https://arxiv.org/abs/1907.04593">Arxiv 2019</a></span>

</li>

<li id="cite_note-8"><span class="mw-cite-backlink"><a href="#cite_ref-8">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.ams.org/notices/201411/rnoti-p1359.pdf">SASTRA-Ramanjuan Prize für Maynard, Notices AMS, 2014, Nr. 11, pdf</a></span>

</li>

<li id="cite_note-9"><span class="mw-cite-backlink"><a href="#cite_ref-9">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.claymath.org/events/news/research-fellow-james-maynard">Clay Research Fellow 2015</a></span>

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<li id="cite_note-10"><span class="mw-cite-backlink"><a href="#cite_ref-10">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="https://www.ae-info.org/ae/Member/Solovej_Jan_Philip">Eintrag</a> auf der Internetseite der Academia Europaea</span>

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<li id="cite_note-11"><span class="mw-cite-backlink"><a href="#cite_ref-11">↑</a></span> <span class="reference-text"><span class="cite"><a rel="nofollow" class="external text" href="https://www.mathunion.org/imu-awards/fields-medal/fields-medals-2022"><i>Fields Medal 2022.</i></a> In: <i>International Mathematical Union.</i> 5. Juli 2022,<span class="Abrufdatum"> abgerufen am 5. Juli 2022</span> (englisch).</span><span style="display: none;" class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rfr_id=info%3Asid%2Fde.wikipedia.org%3AJames+Maynard&rft.title=Fields+Medal+2022&rft.description=Fields+Medal+2022&rft.identifier=https%3A%2F%2Fwww.mathunion.org%2Fimu-awards%2Ffields-medal%2Ffields-medals-2022&rft.date=2022-07-05&rft.language=en"> </span></span>

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<div class="klappleiste-kopf">Träger der <a href="Fields-Medaille" title="Fields-Medaille">Fields-Medaille</a></div>

<p>1936: <a href="Lars_Valerian_Ahlfors" title="Lars Valerian Ahlfors">Lars Valerian Ahlfors</a>, <a href="Jesse_Douglas" title="Jesse Douglas">Jesse Douglas</a> |

1950: <a href="Laurent_Schwartz" title="Laurent Schwartz">Laurent Schwartz</a>, <a href="Atle_Selberg" title="Atle Selberg">Atle Selberg</a> |

1954: <a href="Kodaira_Kunihiko" title="Kodaira Kunihiko">Kodaira Kunihiko</a>, <a href="Jean-Pierre_Serre" title="Jean-Pierre Serre">Jean-Pierre Serre</a> |

1958: <a href="Klaus_Friedrich_Roth" title="Klaus Friedrich Roth">Klaus Friedrich Roth</a>, <a href="Ren%C3%A9_Thom" title="René Thom">René Thom</a> |

1962: <a href="Lars_H%C3%B6rmander" title="Lars Hörmander">Lars Hörmander</a>, <a href="John_Willard_Milnor" title="John Willard Milnor">John Milnor</a> |

1966: <a href="Michael_Francis_Atiyah" title="Michael Francis Atiyah">Michael Atiyah</a>, <a href="Paul_Cohen_(Mathematiker)" title="Paul Cohen (Mathematiker)">Paul Cohen</a>, <a href="Alexander_Grothendieck" title="Alexander Grothendieck">Alexander Grothendieck</a>, <a href="Stephen_Smale" title="Stephen Smale">Stephen Smale</a> |

1970: <a href="Alan_Baker_(Mathematiker)" title="Alan Baker (Mathematiker)">Alan Baker</a>, <a href="Heisuke_Hironaka" title="Heisuke Hironaka">Heisuke Hironaka</a>, <a href="Sergei_Petrowitsch_Nowikow_(Mathematiker)" title="Sergei Petrowitsch Nowikow (Mathematiker)">Sergei Nowikow</a>, <a href="John_Griggs_Thompson" title="John Griggs Thompson">John G. Thompson</a> |

1974: <a href="Enrico_Bombieri" title="Enrico Bombieri">Enrico Bombieri</a>, <a href="David_Bryant_Mumford" title="David Bryant Mumford">David Mumford</a> |

1978: <a href="Pierre_Deligne" title="Pierre Deligne">Pierre Deligne</a>, <a href="Charles_Fefferman" title="Charles Fefferman">Charles Fefferman</a>, <a href="Grigori_Alexandrowitsch_Margulis" title="Grigori Alexandrowitsch Margulis">Grigori Margulis</a>, <a href="Daniel_Gray_Quillen" title="Daniel Gray Quillen">Daniel Quillen</a> |

1982: <a href="Alain_Connes" title="Alain Connes">Alain Connes</a>, <a href="William_Thurston" title="William Thurston">William Thurston</a>, <a href="Shing-Tung_Yau" title="Shing-Tung Yau">Shing-Tung Yau</a> |

1986: <a href="Simon_Donaldson" title="Simon Donaldson">Simon Donaldson</a>, <a href="Gerd_Faltings" title="Gerd Faltings">Gerd Faltings</a>, <a href="Michael_Freedman" title="Michael Freedman">Michael Freedman</a> |

1990: <a href="Vladimir_Drinfeld" title="Vladimir Drinfeld">Vladimir Drinfeld</a>, <a href="Vaughan_F._R._Jones" title="Vaughan F. R. Jones">Vaughan F. R. Jones</a>, <a href="Shigefumi_Mori" title="Shigefumi Mori">Shigefumi Mori</a>, <a href="Edward_Witten" title="Edward Witten">Edward Witten</a> |

1994: <a href="Jean_Bourgain" title="Jean Bourgain">Jean Bourgain</a>, <a href="Pierre-Louis_Lions" title="Pierre-Louis Lions">Pierre-Louis Lions</a>, <a href="Jean-Christophe_Yoccoz" title="Jean-Christophe Yoccoz">Jean-Christophe Yoccoz</a>, <a href="Efim_Zelmanov" title="Efim Zelmanov">Efim Zelmanov</a> |

1998: <a href="Richard_Borcherds" title="Richard Borcherds">Richard Borcherds</a>, <a href="William_Timothy_Gowers" title="William Timothy Gowers">Timothy Gowers</a>, <a href="Maxim_Lwowitsch_Konzewitsch" title="Maxim Lwowitsch Konzewitsch">Maxim Konzewitsch</a>, <a href="Curtis_McMullen" title="Curtis McMullen">Curtis McMullen</a> |

2002: <a href="Laurent_Lafforgue" title="Laurent Lafforgue">Laurent Lafforgue</a>, <a href="Wladimir_Wojewodski" title="Wladimir Wojewodski">Wladimir Wojewodski</a> |

2006: <a href="Andrei_Jurjewitsch_Okunkow" title="Andrei Jurjewitsch Okunkow">Andrei Okunkow</a>, <a href="Grigori_Jakowlewitsch_Perelman" title="Grigori Jakowlewitsch Perelman">Grigori Perelman</a>, <a href="Terence_Tao" title="Terence Tao">Terence Tao</a>, <a href="Wendelin_Werner" title="Wendelin Werner">Wendelin Werner</a> |

2010: <a href="Elon_Lindenstrauss" title="Elon Lindenstrauss">Elon Lindenstrauss</a>, <a href="Ng%C3%B4_B%E1%BA%A3o_Ch%C3%A2u" title="Ngô Bảo Châu">Ngô Bảo Châu</a>, <a href="Stanislaw_Smirnow" title="Stanislaw Smirnow">Stanislaw Smirnow</a>, <a href="C%C3%A9dric_Villani" title="Cédric Villani">Cédric Villani</a> |

2014: <a href="Artur_%C3%81vila" title="Artur Ávila">Artur Ávila</a>, <a href="Manjul_Bhargava" title="Manjul Bhargava">Manjul Bhargava</a>, <a href="Martin_Hairer" title="Martin Hairer">Martin Hairer</a>, <a href="Maryam_Mirzakhani" title="Maryam Mirzakhani">Maryam Mirzakhani</a> |

2018: <a href="Caucher_Birkar" title="Caucher Birkar">Caucher Birkar</a>, <a href="Alessio_Figalli" title="Alessio Figalli">Alessio Figalli</a>, <a href="Peter_Scholze" title="Peter Scholze">Peter Scholze</a>, <a href="Akshay_Venkatesh" title="Akshay Venkatesh">Akshay Venkatesh</a> |

2022: <a href="Hugo_Duminil-Copin" title="Hugo Duminil-Copin">Hugo Duminil-Copin</a>, <a href="June_Huh" title="June Huh">June Huh</a>, <a class="mw-selflink selflink">James Maynard</a>, <a href="Maryna_Viazovska" title="Maryna Viazovska">Maryna Viazovska</a>

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Normdaten (Person): <a href="Gemeinsame_Normdatei" title="Gemeinsame Normdatei">GND</a>: <span class="-print"><a rel="nofollow" class="external text" href="https://d-nb.info/gnd/1208843613">1208843613</a></span> | <a href="Library_of_Congress_Control_Number" title="Library of Congress Control Number">LCCN</a>: <span class="-print"><a rel="nofollow" class="external text" href="https://id.loc.gov/authorities/no2005029413">no2005029413</a></span> | <a href="Virtual_International_Authority_File" title="Virtual International Authority File">VIAF</a>: <span class="-print"><a rel="nofollow" class="external text" href="https://viaf.org/viaf/63738324/">63738324</a></span> | </div>

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