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About: Barry Mazur
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</div> </div> <div class="row pt-2"> <div class="col-xs-9 col-sm-10"> <p class="lead">Barry Charles Mazur (/ˈmeɪzʊr/; born December 19, 1937) is an American mathematician and the Gerhard Gade University Professor at Harvard University. His contributions to mathematics include his contributions to Wiles's proof of Fermat's Last Theorem in number theory, Mazur's torsion theorem in arithmetic geometry, the Mazur swindle in geometric topology, and the Mazur manifold in differential topology.</p> </div> <div class="col-xs-3 col-sm-2"> <a href="#" class="thumbnail"> <img src="http://commons.wikimedia.org/wiki/Special:FilePath/Barry_Mazur_1992.jpg?width=300" alt="thumbnail" class="img-fluid" /> </a> </div> </div> </div> </section> <!-- page-header --> <!-- property-table --> <section> <div class="container-xl"> <div class="row"> <div class="table-responsive"> <table class="table table-hover table-sm table-light"> <thead> <tr> <th class="col-xs-3 ">Property</th> <th class="col-xs-9 px-3">Value</th> </tr> </thead> <tbody> <tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/abstract"><small>dbo:</small>abstract</a> </td><td class="col-10 text-break"><ul> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ar" >باري مازور (بالإنجليزية: Barry Mazur) هو عالم أمريكي في مجال رياضيات ولد في 19 ديسمبر 1937 في نيويورك (مدينة)، نيويورك (ولاية)، حائز على جائزة قلادة العلوم الوطنية الأمريكية.</span><small> (ar)</small></span></li> <li><span class="literal"><span property="dbo:abstract" lang="en" >Barry Charles Mazur (/ˈmeɪzʊr/; born December 19, 1937) is an American mathematician and the Gerhard Gade University Professor at Harvard University. His contributions to mathematics include his contributions to Wiles's proof of Fermat's Last Theorem in number theory, Mazur's torsion theorem in arithmetic geometry, the Mazur swindle in geometric topology, and the Mazur manifold in differential topology.</span><small> (en)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="de" >Barry Charles Mazur (* 19. Dezember 1937 in New York City) ist ein US-amerikanischer Mathematiker, der auf dem Gebiet der Topologie, Zahlentheorie und arithmetischen algebraischen Geometrie arbeitet.</span><small> (de)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="es" >Barry Mazur (nació 9 de diciembre, de 1937) es un profesor de matemáticas en la Universidad Harvard. Mazur nació en Nueva York, y concurrió al y el MIT, a pesar de que no logró graduarse en el MIT por no cumplir con un requerimiento de realizar un curso de entrenamiento militar de reservistas (ROTC) existente en esa época. Aun así, fue aceptado en la escuela de graduados y obtiene su grado de Ph.D. de la Universidad de Princeton en 1959, siendo Junior Fellow en la Universidad Harvard entre 1961 y 1964. Actualmente ocupa la cátedra de profesor Gerhard Gade en la Universidad Harvard. En 1982 fue elegido miembro de la Academia Nacional de Ciencias de EE. UU. Mazur ha recibido el Premio Veblen en geometría y el Premio Cole en teoría de números de la Sociedad Norteamericana de Matemáticas. Sus trabajos iniciales fueron en el área de topología geométrica. Influenciado por el enfoque de Alexander Grothendieck a la geometría algebraica, luego trabaja en temas de . El teorema de torsión de Mazur, que da una lista completa de los posible subgrupos de torsión de las curvas elípticas sobre los números racionales, es un resultado profundo e importante en la aritmética de las curvas elípticas. La primera demostración de Mazur de este teorema requirió un análisis completo de los puntos racionales de unas ciertas . Esta prueba se incluyó en su trabajo de seminario "Curvas modulares y el ideal de Eisenstein". Las ideas de este trabajo y la noción creada por Mazur de , formaron parte de las herramientas básicas que permitieron que Andrew Wiles resolviera con éxito el último teorema de Fermat. Mazur y Wiles habían trabajado previamente juntos en la de la teoría de Iwasawa. En un trabajo titulado, Number Theory as , Mazur describe la teoría de números como un campo que [cita requerida] produce, sin esfuerzo, innumerable problemas que poseen un aire dulce e inocente, flores que tientan; y sin embargo... la teoría de números esta llena de insectos, que acechan y esperan para picar a los amantes de las flores, los que una vez picados son inspirados para realizar esfuerzos inimaginables! En su libro publicado en el 2003 intenta acercar el mundo de la matemáticas y la imaginación a un público general. La versión en español, titulada Números imaginados (en especial la raíz cuadrada de –15), fue publicada en 2008 por Libraria en la colección QED.</span><small> (es)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="fr" >Barry Charles Mazur, né le 19 décembre 1937 à New York, est un mathématicien américain.</span><small> (fr)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ko" >배리 찰스 메이저(영어: Barry Charles Mazur IPA: [ˈmeɪzə(r)], 1937년 12월 19일 ~ )는 미국의 수학자다. 현재 하버드 대학교의 교수이다.</span><small> (ko)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="nl" >Barry Charles Mazur (New York, 19 december 1937) is een Amerikaans wiskundige, die hoogleraar is aan Harvard University. Zijn wiskundige interessen gaan uit naar de topologie, de getaltheorie en de algebraïsche meetkunde.</span><small> (nl)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ja" >バリー・チャールズ・メイザー（Barry Charles Mazur、1937年12月19日 - ）は、ハーバード大学の数学の教授。 ニューヨークに生まれ、ブロンクス科学高校、マサチューセッツ工科大学で学んだ。大学を卒業せず大学院に進み、1959年にはプリンストン大学で博士号を取得し、ハーバード大学のジュニアフェローとなる。1969年に教授に昇進。1982年に全米科学アカデミーのメンバーに選ばれる。</span><small> (ja)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="it" >Barry Charles Mazur (New York, 19 dicembre 1937) è un matematico statunitense, conosciuto per i suoi contributi in diversi ambiti della matematica, come ad esempio la e la . Ha un fratello anch'egli laureato in matematica.</span><small> (it)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="pl" >Barry Charles Mazur (ur. 19 grudnia 1937 w Nowym Jorku) – amerykański matematyk pracujący głównie w teorii liczb. Professor na Harvard University. W 2000 otrzymał Nagrodę Steele’a. W 2022 otrzymał Medal Cherna.</span><small> (pl)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="pt" >Barry Charles Mazur (Nova Iorque, 19 de dezembro de 1937) é um matemático estadunidense, Gerhard Gade University Professor da Universidade Harvard. Trabalha nas áreas de topologia, teoria dos números e geometria</span><small> (pt)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ru" >Ба́рри Ма́зур (англ. Barry Mazur, род. 19 декабря 1937) — американский математик, профессор Гарвардского университета. Барри Мазур родился в Нью-Йорке в 1937 году. Учился в Массачусетском технологическом институте, однако не получил степень бакалавра, так как его сочли не удовлетворяющим требованиям . Несмотря на это, он смог продолжить обучение в Принстонском университете и, в 1959 году, получил степень Ph.D., после этого работал в Гарвардском университете. В 1960 году женился на Грэйс Дэйн, её специальность — биолог. У них был один ребёнок. Ранние работы Мазура относились к . Ещё в 50-х годах он доказал , которая является усложнённой версией теоремы Жордана (независимо от него эту гипотезу доказал Мортон Браун). Также он впервые описал — стягиваемое компактное четырёхмерное гладкое многообразие (с краем), не гомеоморфное четырёхмерному шару. В 60-е годы он начал работать в области алгебраической геометрии, особенно диофантовой и арифметической геометрии (связанной с теорией чисел). Причины, способствовавшие этому переходу, он описал следующим образом: Мне повезло в том, что, когда я только начинал задумываться о теории чисел, я был окружён математиками, чья работа воплощала эти настроения. Серж Ленг помог мне в очень многом, […] он дал мне надежду, что топологическая точка зрения может быть полезна в теории чисел. Гротендик был особенно терпелив со мной, ведь когда мы впервые встретились, я не знал практически ничего об алгебре. Во время одной из наших первых встреч он поднял вопрос (который до этого был задан ему Вашнитцером), может ли гладкое собственное алгебраическое многообразие над действительным квадратичным полем дать топологически неизоморфные многообразия при использовании двух различных вложений числового поля в R. Превосходный вопрос, по крайней мере для меня! Не то чтобы я смог ответить на него, но он был одним из немногих алгебро-геометрических вопросов, которые я был способен тогда оценить. […] этот вопрос был достаточным стимулом для тополога, чтобы заинтересоваться алгебраической геометрией. Я начал изучать алгебраическую геометрию, работая вместе с Майком Артином. — Ответ Мазура на присуждение премии Стила Мазур доказал несколько теорем, оказавших большое влияние на развитие теории чисел. , дающая полный перечень возможных подгрупп кручения эллиптических кривых над рациональными числами, является важным результатом по арифметике эллиптических кривых. В статье Modular curves and the Eisenstein ideal он производит анализ рациональных точек определённых модулярных кривых, некоторые результаты из этой статьи были использованы Уайлсом при доказательстве Великой теоремы Ферма. Ещё до этого Уайлс и Мазур совместно доказали Основную гипотезу . Мазур написал две книги, в которых он объясняет своё понимание теории чисел: Imagining numbers: (particularly the square root of minus fifteen) и Circles Disturbed, a collection of essays on mathematics and narrative. C 1982 года Барри Мазур является членом Национальной академии наук США, с 2012-го года — действительным членом Американского математического общества. Награждён премией Веблена по геометрии, премией Коула по теории чисел, премией Шовене, а также премией Стила с формулировкой: «за плодотворный вклад в исследования». 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>باري مازور (بالإنجليزية: Barry Mazur) هو عالم أمريكي في مجال رياضيات ولد في 19 ديسمبر 1937 في نيويورك (مدينة)، نيويورك (ولاية)، حائز على جائزة قلادة العلوم الوطنية الأمريكية.</span><small> (ar)</small></span></li> <li><span class="literal"><span property="rdfs:comment" lang="en" >Barry Charles Mazur (/ˈmeɪzʊr/; born December 19, 1937) is an American mathematician and the Gerhard Gade University Professor at Harvard University. His contributions to mathematics include his contributions to Wiles's proof of Fermat's Last Theorem in number theory, Mazur's torsion theorem in arithmetic geometry, the Mazur swindle in geometric topology, and the Mazur manifold in differential topology.</span><small> (en)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="de" >Barry Charles Mazur (* 19. Dezember 1937 in New York City) ist ein US-amerikanischer Mathematiker, der auf dem Gebiet der Topologie, Zahlentheorie und arithmetischen algebraischen Geometrie arbeitet.</span><small> (de)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="fr" >Barry Charles Mazur, né le 19 décembre 1937 à New York, est un mathématicien américain.</span><small> (fr)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="ko" >배리 찰스 메이저(영어: Barry Charles Mazur IPA: [ˈmeɪzə(r)], 1937년 12월 19일 ~ )는 미국의 수학자다. 현재 하버드 대학교의 교수이다.</span><small> (ko)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="nl" >Barry Charles Mazur (New York, 19 december 1937) is een Amerikaans wiskundige, die hoogleraar is aan Harvard University. Zijn wiskundige interessen gaan uit naar de topologie, de getaltheorie en de algebraïsche meetkunde.</span><small> (nl)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="ja" >バリー・チャールズ・メイザー（Barry Charles Mazur、1937年12月19日 - ）は、ハーバード大学の数学の教授。 ニューヨークに生まれ、ブロンクス科学高校、マサチューセッツ工科大学で学んだ。大学を卒業せず大学院に進み、1959年にはプリンストン大学で博士号を取得し、ハーバード大学のジュニアフェローとなる。1969年に教授に昇進。1982年に全米科学アカデミーのメンバーに選ばれる。</span><small> (ja)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="it" >Barry Charles Mazur (New York, 19 dicembre 1937) è un matematico statunitense, conosciuto per i suoi contributi in diversi ambiti della matematica, come ad esempio la e la . Ha un fratello anch'egli laureato in matematica.</span><small> (it)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="pl" >Barry Charles Mazur (ur. 19 grudnia 1937 w Nowym Jorku) – amerykański matematyk pracujący głównie w teorii liczb. Professor na Harvard University. W 2000 otrzymał Nagrodę Steele’a. W 2022 otrzymał Medal Cherna.</span><small> (pl)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="pt" >Barry Charles Mazur (Nova Iorque, 19 de dezembro de 1937) é um matemático estadunidense, Gerhard Gade University Professor da Universidade Harvard. Trabalha nas áreas de topologia, teoria dos números e geometria</span><small> (pt)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="es" >Barry Mazur (nació 9 de diciembre, de 1937) es un profesor de matemáticas en la Universidad Harvard. Mazur nació en Nueva York, y concurrió al y el MIT, a pesar de que no logró graduarse en el MIT por no cumplir con un requerimiento de realizar un curso de entrenamiento militar de reservistas (ROTC) existente en esa época. Aun así, fue aceptado en la escuela de graduados y obtiene su grado de Ph.D. de la Universidad de Princeton en 1959, siendo Junior Fellow en la Universidad Harvard entre 1961 y 1964. Actualmente ocupa la cátedra de profesor Gerhard Gade en la Universidad Harvard. En 1982 fue elegido miembro de la Academia Nacional de Ciencias de EE. UU. Mazur ha recibido el Premio Veblen en geometría y el Premio Cole en teoría de números de la Sociedad Norteamericana de Matemáticas.</span><small> (es)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="ru" >Ба́рри Ма́зур (англ. Barry Mazur, род. 19 декабря 1937) — американский математик, профессор Гарвардского университета. Барри Мазур родился в Нью-Йорке в 1937 году. Учился в Массачусетском технологическом институте, однако не получил степень бакалавра, так как его сочли не удовлетворяющим требованиям . Несмотря на это, он смог продолжить обучение в Принстонском университете и, в 1959 году, получил степень Ph.D., после этого работал в Гарвардском университете. В 1960 году женился на Грэйс Дэйн, её специальность — биолог. У них был один ребёнок. — Ответ Мазура на присуждение премии Стила</span><small> (ru)</small></span></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://www.w3.org/2000/01/rdf-schema#label"><small>rdfs:</small>label</a> </td><td class="col-10 text-break"><ul> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ar" >باري مازور</span><small> (ar)</small></span></li> <li><span class="literal"><span property="rdfs:label" lang="en" >Barry Mazur</span><small> (en)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="de" >Barry Mazur</span><small> (de)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="es" >Barry Mazur</span><small> (es)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="fr" >Barry Mazur</span><small> (fr)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="it" >Barry Mazur</span><small> (it)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ko" >배리 메이저</span><small> (ko)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ja" >バリー・メイザー</span><small> (ja)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="pl" >Barry Mazur</span><small> (pl)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="nl" >Barry Mazur</span><small> (nl)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ru" >Мазур, Барри</span><small> (ru)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="pt" >Barry Mazur</span><small> (pt)</small></span></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" 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