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Michael Atiyah Michael Atiyah Michael Atiyah Michael Atiyah Michael Atiyah Michael Francis Atiyah Атья, Майкл مايكل عطية マイケル・アティヤ Michael Atiyah Michael Atiyah Michael Atiyah Michael Atiyah Michael Atiyah Michael Francis Atiyah Michael Atiyah Michael Atiyah Майкл Атія 迈克尔·阿蒂亚 마이클 아티야
rdfs:comment
Sir Michael Francis Atiyah, OM, FRS, (22. dubna 1929 – 11. ledna 2019) byl britský matematik zabývající se geometrií. Vyrostl v Súdánu a Egyptě, ale většinu své akademické kariéry strávil ve Spojeném království v Oxfordu a Cambridgi a ve Spojených státech na . Byl prezidentem Královské společnosti (1990–1995), ředitelem Trinity College (1990–1997), kancléřem Univerzity v Leicesteru (1995–2005) a prezidentem (2005–2008). Byl čestným prezidentem na Univerzitě v Edinburghu. Sir Michael Francis Atiyah (Hampstead, Londres, 1929ko apirilaren 22a - 2019ko urtarrilaren 11) britainiar matematikaria izan zen. Michael Francis Atiyah OM, FRS, FRSE (Hampstead, Londen, 22 april 1929 – 11 januari 2019) was een invloedrijke twintigste-eeuwse Britse wiskundige. Michael Atiyah werd geboren in een Grieks-orthodox gezin. Zijn vader, Edward Atiyah, was Libanees en zijn moeder, Jean Atiyah-Levens, was Schots. Hij groeide op in Soedan en Egypte, maar bracht het grootste deel van zijn academische leven in het Verenigd Koninkrijk aan de Universiteit van Oxford en die van Cambridge en in de Verenigde Staten aan het Institute for Advanced Study door. Hij was voorzitter van de Royal Society (1990-1995), master van Trinity College (Cambridge) (1990-1997), kanselier van de Universiteit van Leicester (1995-2005), en president van de Royal Society of Edinburgh (2005-2008). Atiyah is met emeritaat en erehoogleraar aa Michael Francis Atiyah, OM, FRS (Hampstead, Londres, 22 de abril de 1929 — 11 de janeiro de 2019), foi um matemático britânico de origem libanesa, considerado um dos expoentes da geometria do século XX. Atiyah foi Professor Saviliano de Geometria em Oxford, mantendo esta carreira de 1963 até 1969, quando foi nomeado professor de matemática no Instituto de Estudos Avançados de Princeton. Michael Francis ATIYAH, OM, FRS (Hampstead, 22-a de aprilo, 1929 - 11-a de januaro 2019), estis brita matematikisto de libana deveno. Sir Michael Francis Atiyah (ur. 22 kwietnia 1929 w Londynie, zm. 11 stycznia 2019) – brytyjski matematyk, profesor Uniwersytetu Oksfordzkiego, członek wielu akademii naukowych. Laureat Medalu Fieldsa (1966), Nagrody Abela (2004) i Medalu Copleya (1988). Zajmował się topologią, równaniami różniczkowymi i fizyką matematyczną. Był członkiem grupy Bourbaki. Michael Francis Atiyah (Londra, 22 aprile 1929 – Edimburgo, 11 gennaio 2019) è stato un matematico britannico, noto per i suoi numerosi contributi alla geometria. È cresciuto in Sudan e in Egitto, ma ha trascorso gran parte della sua carriera accademica a Oxford, Cambridge e Princeton. Sir Michael Francis Atiyah, OM, född 22 april 1929 i London, död 11 januari 2019, var en brittisk matematiker. Atiyah föddes i London med en mor från Skottland och en far som var libanes. Han växte till stor del upp i Kairo, Egypten och utbildade sig på Manchester Grammar School och Universitetet i Cambridge. Tillsammans med Isadore Singer upptäckte han som i sin tur ledde till arbete inom . År 2004 vann Atiyah och Singer Abelpriset. Tillsammans med grundade han den topologiska K-teorin, ett delområde till algebraisk topologi. Atiyah var den drivande kraften bakom . Sir Michael Francis Atiyah (Hampstead, 22 d'abril de 1929 - 11 de gener de 2019) fou un matemàtic anglès d'origen libanès, fill de l'escriptor Edward Atiyah. Ha estat professor a les universitats d'Oxford, de Cambridge i de Princeton. És membre de la Royal Society des de 1962 i n'ha estat president de 1990 a 1995. Atiyah rebé la Medalla Fields l'any 1966, la medalla De Morgan l'any 1980 i la Medalla Copley l'any 1988. L'any 2004 li fou atorgat el Premi Abel conjuntament amb Isadore Singer, amb qui havia demostrat el teorema de l'índex l'any 1963.Fou nomenat cavaller l'any 1983. マイケル・アティヤ(Michael F. Atiyah [əˈtiːə]、1929年4月22日 - 2019年1月11日)は、アティヤ=シンガーの指数定理、ゲージ理論の研究などで知られるイギリスの数学者。現代最高の数学者の一人とみなされている。父親がレバノン人、母親はスコットランド人。父はアラブ研究で知られる歴史家の、弟は弁護士の。 Сэр Майкл Фрэ́нсис Атья́ (англ. Michael Francis Atiyah; 22 апреля 1929, Лондон — 11 января 2019) — британский математик. Доктор философии (1955), профессор Оксфорда (1963-69, 1973-90). Президент Лондонского королевского общества (1990—1995; член с 1962) и Королевского общества Эдинбурга (2005—2008), ректор Лестерского университета (1995—2005). Почетный профессор Эдинбургского университета (с 1997), член многих академий и удостоен многих отличий, в частности лауреат Филдсовской премии (1966) и премии Абеля (2004). Член Леопольдины (1977), иностранный член Национальной академии наук США и Французской академии наук (обеих — с 1978), Американского философского общества (1991), Российской академии наук (1994). Рыцарь-бакалавр (1983).Виднейший математик своего времени. Майкл Френсіс Атія (англ. sir Michael Francis Atiyah; 22 квітня 1929, Лондон, Велика Британія — 11 січня 2019) — англійський математик. Член Лондонського наукового королівського товариства (1962, в 1990—1995 рр. — його президент), член Паризької академії наук (1978), іноземний член Національної академії наук України, іноземний член Російської академії наук. 마이클 프랜시스 아티야(아랍어: مايكل عَطِيَّة, 영어: Michael Francis Atiyah IPA: [ˈmaɪkəl ˈfɹɑːnsɪs əˈtiːə], 1929년 4월 22일 ~ 2019년 1월 11일)는 영국의 수학자이다. 대수기하학과 미분기하학 및 대수적 위상수학 등 다양한 분야에 큰 업적을 남겼다. Michael Francis Atiyah, OM, FRS (Hampstead, 22 de abril de 1929-11 de enero de 2019), fue un matemático británico de ascendencia libanesa.​​ Sir Michael Francis Atiyah OM PRS FRSE FMedSci FAA FREng (/əˈtiːə/; 22 April 1929 – 11 January 2019) was a British-Lebanese mathematician specialising in geometry. His contributions include the Atiyah–Singer index theorem and co-founding topological K-theory. He was awarded the Fields Medal in 1966 and the Abel Prize in 2004. Sir Michael Francis Atiyah, né le 22 avril 1929 à Londres et mort le 11 janvier 2019, est un mathématicien anglais d'origine libanaise, fils de l'écrivain Edward Atiyah. Il est professeur à l'université d'Oxford, à l'université de Cambridge et à l'université de Princeton. Membre de la Royal Society depuis 1962, il en est président de 1990 à 1995. Il est lauréat de la médaille Fields 1966, du prix Abel 2004 et de la grande médaille 2010. Michael Francis Atiyah, (22 April 1929 – 11 Januari 2019) adalah seorang matematikawan dari Inggris yang mengambil spesialisasi bidang geometri. Atiyah menghabiskan masa kecil di Sudan dan Mesir, dan menjalani kehidupan akademisnya di Inggris, di Oxford dan Cambridge, serta Institute for Advanced Study di Amerika. Ia terkenal atas hasil kerjanya bersama Isadore M. Singer yang membuktikan pada tahu 1962, yang membuka cara baru menghubungkan antara matematika murni dan fisika teori.Atas hasil kerjanya tersebut, pada tahun 2004, ia dan Isadore M. Singer mendapat Penghargaan Abel. السير مايكل عطية (22 أبريل 1929 - 11 يناير 2019) عالم بريطاني مولود لأب عربي من أصل لبناني، حاصل على لقب فارس «سير» البريطاني. وقد حصل في عام 1967 على جائزة فيلدز. عمل حتى أواخر أيامه أستاذا في جامعة أدنبره في اسكتلندا، وهو فائز بجوائز علمية دولية عدة في السابق، من بينها جائزة الملك فيصل العالمية عن العلوم في عام 1987. وجائزة أبيل في الرياضيات عام 2004. Sir Michael Francis Atiyah, OM (* 22. April 1929 in London; † 11. Januar 2019) war ein britischer Mathematiker und Träger der Fieldsmedaille und des Abelpreises. 迈克尔·弗朗西斯·阿蒂亚爵士,OM PRS FRSE FREng(英語:Sir Michael Francis Atiyah,1929年4月22日-2019年1月11日),英国黎巴嫩裔数学家,主要研究领域为几何,被誉为当代最伟大的数学家之一。
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Lisa Jeffrey Ian R. Porteous Simon Donaldson George Lusztig Frances Kirwan K. David Elworthy Ruth Lawrence Graeme Segal Nigel Hitchin Peter Kronheimer David O. Tall
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Some Applications of Topological Methods in Algebraic Geometry
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1955
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Pembroke College, Cambridge Institute for Advanced Study University of Edinburgh University of Oxford - New College, Oxford and St Catherine's College, Oxford University of Leicester
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Michael Francis Atiyah (Londra, 22 aprile 1929 – Edimburgo, 11 gennaio 2019) è stato un matematico britannico, noto per i suoi numerosi contributi alla geometria. È cresciuto in Sudan e in Egitto, ma ha trascorso gran parte della sua carriera accademica a Oxford, Cambridge e Princeton. Michael Francis ATIYAH, OM, FRS (Hampstead, 22-a de aprilo, 1929 - 11-a de januaro 2019), estis brita matematikisto de libana deveno. Sir Michael Francis Atiyah (ur. 22 kwietnia 1929 w Londynie, zm. 11 stycznia 2019) – brytyjski matematyk, profesor Uniwersytetu Oksfordzkiego, członek wielu akademii naukowych. Laureat Medalu Fieldsa (1966), Nagrody Abela (2004) i Medalu Copleya (1988). Zajmował się topologią, równaniami różniczkowymi i fizyką matematyczną. Był członkiem grupy Bourbaki. Майкл Френсіс Атія (англ. sir Michael Francis Atiyah; 22 квітня 1929, Лондон, Велика Британія — 11 січня 2019) — англійський математик. Член Лондонського наукового королівського товариства (1962, в 1990—1995 рр. — його президент), член Паризької академії наук (1978), іноземний член Національної академії наук України, іноземний член Російської академії наук. 마이클 프랜시스 아티야(아랍어: مايكل عَطِيَّة, 영어: Michael Francis Atiyah IPA: [ˈmaɪkəl ˈfɹɑːnsɪs əˈtiːə], 1929년 4월 22일 ~ 2019년 1월 11일)는 영국의 수학자이다. 대수기하학과 미분기하학 및 대수적 위상수학 등 다양한 분야에 큰 업적을 남겼다. Sir Michael Francis Atiyah, OM, FRS, (22. dubna 1929 – 11. ledna 2019) byl britský matematik zabývající se geometrií. Vyrostl v Súdánu a Egyptě, ale většinu své akademické kariéry strávil ve Spojeném království v Oxfordu a Cambridgi a ve Spojených státech na . Byl prezidentem Královské společnosti (1990–1995), ředitelem Trinity College (1990–1997), kancléřem Univerzity v Leicesteru (1995–2005) a prezidentem (2005–2008). Byl čestným prezidentem na Univerzitě v Edinburghu. Mezi jeho spolupracovníky v matematice patří např. Raoul Bott, a Isadore Singer a jeho studenti , a Simon Donaldson. Spolu s Hirzebruchem položil základy pro , důležitý nástroj v algebraické topologii, který popisuje způsoby, kterými může být ohýbán prostor. , kterou spolu se Singerem dokázal v roce 1963, se využívá k určení počtu řešení diferenciálních rovnic. V roce 1966 získal Fieldsovu medaili, v roce 1988 Copleyho medaili a v roce 2004 Abelovu cenu. Michael Francis Atiyah, OM, FRS (Hampstead, 22 de abril de 1929-11 de enero de 2019), fue un matemático británico de ascendencia libanesa.​​ Sir Michael Francis Atiyah (Hampstead, 22 d'abril de 1929 - 11 de gener de 2019) fou un matemàtic anglès d'origen libanès, fill de l'escriptor Edward Atiyah. Ha estat professor a les universitats d'Oxford, de Cambridge i de Princeton. És membre de la Royal Society des de 1962 i n'ha estat president de 1990 a 1995. Ha col·laborat amb de nombrosos matemàtics, en particular amb Raoul Bott, Friedrich Hirzebruch i Isadore Singer. Els seus alumnes més coneguts són , i Simon Donaldson. Fundà la teoria-K amb Hirzebruch. El seu resultat més conegut és el teorema de l'índex d'Atiyah-Singer, que es pot utilitzar per comptar el nombre de solucions independents de certes equacions diferencials. Més recentment, ha treballat sobre temes inspirats per la física teòrica, com els instantons, utilitzats en la teoria quàntica de camps. El 2016 ha publicat un article on prova que l'esfera de dimensió 6 no admet una estructura complexa; aquest resultat (que encara està sent revisat per la comunitat matemàtica) és un problema que porta més de 60 anys sense ser resolt. Atiyah rebé la Medalla Fields l'any 1966, la medalla De Morgan l'any 1980 i la Medalla Copley l'any 1988. L'any 2004 li fou atorgat el Premi Abel conjuntament amb Isadore Singer, amb qui havia demostrat el teorema de l'índex l'any 1963.Fou nomenat cavaller l'any 1983. Сэр Майкл Фрэ́нсис Атья́ (англ. Michael Francis Atiyah; 22 апреля 1929, Лондон — 11 января 2019) — британский математик. Доктор философии (1955), профессор Оксфорда (1963-69, 1973-90). Президент Лондонского королевского общества (1990—1995; член с 1962) и Королевского общества Эдинбурга (2005—2008), ректор Лестерского университета (1995—2005). Почетный профессор Эдинбургского университета (с 1997), член многих академий и удостоен многих отличий, в частности лауреат Филдсовской премии (1966) и премии Абеля (2004). Член Леопольдины (1977), иностранный член Национальной академии наук США и Французской академии наук (обеих — с 1978), Американского философского общества (1991), Российской академии наук (1994). Рыцарь-бакалавр (1983).Виднейший математик своего времени. 迈克尔·弗朗西斯·阿蒂亚爵士,OM PRS FRSE FREng(英語:Sir Michael Francis Atiyah,1929年4月22日-2019年1月11日),英国黎巴嫩裔数学家,主要研究领域为几何,被誉为当代最伟大的数学家之一。 Michael Francis Atiyah OM, FRS, FRSE (Hampstead, Londen, 22 april 1929 – 11 januari 2019) was een invloedrijke twintigste-eeuwse Britse wiskundige. Michael Atiyah werd geboren in een Grieks-orthodox gezin. Zijn vader, Edward Atiyah, was Libanees en zijn moeder, Jean Atiyah-Levens, was Schots. Hij groeide op in Soedan en Egypte, maar bracht het grootste deel van zijn academische leven in het Verenigd Koninkrijk aan de Universiteit van Oxford en die van Cambridge en in de Verenigde Staten aan het Institute for Advanced Study door. Hij was voorzitter van de Royal Society (1990-1995), master van Trinity College (Cambridge) (1990-1997), kanselier van de Universiteit van Leicester (1995-2005), en president van de Royal Society of Edinburgh (2005-2008). Atiyah is met emeritaat en erehoogleraar aan de Universiteit van Edinburgh. Atiyah werkte nauw samen met de wiskundigen , Friedrich Hirzebruch en Isadore Singer. Onder zijn studenten zijn , en Simon Donaldson. Samen met Hirzebruch legde hij het fundament voor de topologische K-theorie, een belangrijk gereedschap in de algebraïsche topologie. Informeel gesproken beschrijft topologische K-theorie manieren waarop ruimten kunnen worden verwrongen. Zijn meest bekende resultaat, het samen met Singer geleverde bewijs voor de indexstelling van Atiyah-Singer dateert uit 1963 en wordt veel gebruikt in het tellen van het aantal onafhankelijke oplossingen voor bepaalde types differentiaalvergelijkingen. Een deel van zijn recentere werk is geïnspireerd door de theoretische natuurkunde, met name dat over en , en hebben geleid tot enkele subtiele correcties in de kwantumveldentheorie. In 1966 werd hij bekroond met de Fields-medaille, in 1988 met de Copley Medal en in 2004 met de Abelprijs. In september 2018 beweerde Atiyah dat hij een ‘eenvoudig bewijs’ heeft geformuleerd voor de beroemde Riemann-hypothese. Tot zover heeft hij niet voldoende materiaal laten zien om zijn voorgestelde bewijs te kunnen beoordelen. Het is dus nog onduidelijk of hij het beroemde probleem inderdaad heeft opgelost. السير مايكل عطية (22 أبريل 1929 - 11 يناير 2019) عالم بريطاني مولود لأب عربي من أصل لبناني، حاصل على لقب فارس «سير» البريطاني. وقد حصل في عام 1967 على جائزة فيلدز. عمل حتى أواخر أيامه أستاذا في جامعة أدنبره في اسكتلندا، وهو فائز بجوائز علمية دولية عدة في السابق، من بينها جائزة الملك فيصل العالمية عن العلوم في عام 1987. وجائزة أبيل في الرياضيات عام 2004. Michael Francis Atiyah, (22 April 1929 – 11 Januari 2019) adalah seorang matematikawan dari Inggris yang mengambil spesialisasi bidang geometri. Atiyah menghabiskan masa kecil di Sudan dan Mesir, dan menjalani kehidupan akademisnya di Inggris, di Oxford dan Cambridge, serta Institute for Advanced Study di Amerika. Ia terkenal atas hasil kerjanya bersama Isadore M. Singer yang membuktikan pada tahu 1962, yang membuka cara baru menghubungkan antara matematika murni dan fisika teori.Atas hasil kerjanya tersebut, pada tahun 2004, ia dan Isadore M. Singer mendapat Penghargaan Abel. Sir Michael Francis Atiyah OM PRS FRSE FMedSci FAA FREng (/əˈtiːə/; 22 April 1929 – 11 January 2019) was a British-Lebanese mathematician specialising in geometry. His contributions include the Atiyah–Singer index theorem and co-founding topological K-theory. He was awarded the Fields Medal in 1966 and the Abel Prize in 2004. Sir Michael Francis Atiyah, né le 22 avril 1929 à Londres et mort le 11 janvier 2019, est un mathématicien anglais d'origine libanaise, fils de l'écrivain Edward Atiyah. Il est professeur à l'université d'Oxford, à l'université de Cambridge et à l'université de Princeton. Membre de la Royal Society depuis 1962, il en est président de 1990 à 1995. Il est lauréat de la médaille Fields 1966, du prix Abel 2004 et de la grande médaille 2010. Sir Michael Francis Atiyah, OM (* 22. April 1929 in London; † 11. Januar 2019) war ein britischer Mathematiker und Träger der Fieldsmedaille und des Abelpreises. Sir Michael Francis Atiyah, OM, född 22 april 1929 i London, död 11 januari 2019, var en brittisk matematiker. Atiyah föddes i London med en mor från Skottland och en far som var libanes. Han växte till stor del upp i Kairo, Egypten och utbildade sig på Manchester Grammar School och Universitetet i Cambridge. Tillsammans med Isadore Singer upptäckte han som i sin tur ledde till arbete inom . År 2004 vann Atiyah och Singer Abelpriset. Tillsammans med grundade han den topologiska K-teorin, ett delområde till algebraisk topologi. Atiyah var den drivande kraften bakom . Under 1990-talet var han ordförande för Royal Society. Han erhöll The Royal Medal 1968, De Morgan-medaljen 1980 och Copleymedaljen 1988. 1974–1976 var han ordförande för London Mathematical Society och har dessutom varit ordförande för Pugwash Conferences on Science and World Affairs. Han var utländsk ledamot av Kungliga Vetenskapsakademien (invald 1972) och av American Academy of Arts and Sciences. 1983 adlades Michael Francis Atiyah. Han var hedersprofessor vid Edinburghs universitet. Sir Michael Francis Atiyah (Hampstead, Londres, 1929ko apirilaren 22a - 2019ko urtarrilaren 11) britainiar matematikaria izan zen. Michael Francis Atiyah, OM, FRS (Hampstead, Londres, 22 de abril de 1929 — 11 de janeiro de 2019), foi um matemático britânico de origem libanesa, considerado um dos expoentes da geometria do século XX. Atiyah foi Professor Saviliano de Geometria em Oxford, mantendo esta carreira de 1963 até 1969, quando foi nomeado professor de matemática no Instituto de Estudos Avançados de Princeton. Seu trabalho pioneiro em conjunto com Isadore Singer levou à prova do teorema do índice de Atiyah-Singer na década de 1960, resultado que serviu de base para o desenvolvimento de vários ramos da matemática desde então. Foi presidente da Sociedade Real de Edimburgo, de 2005 a 2008. Também fundou, antes e conjuntamente com Friedrich Hirzebruch, o estudo de outra grande ferramenta da topologia algébrica: a . Foi inspirada pelo trabalho de Alexander Grothendieck ao generalizar o teorema de Riemann-Roch, e gerou a K-teoria algébrica e muitas aplicações em física matemática. マイケル・アティヤ(Michael F. Atiyah [əˈtiːə]、1929年4月22日 - 2019年1月11日)は、アティヤ=シンガーの指数定理、ゲージ理論の研究などで知られるイギリスの数学者。現代最高の数学者の一人とみなされている。父親がレバノン人、母親はスコットランド人。父はアラブ研究で知られる歴史家の、弟は弁護士の。
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Michael Atiyah in 2007
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Michael Atiyah
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But for most practical purposes, you just use the classical groups. The exceptional Lie groups are just there to show you that the theory is a bit bigger; it is pretty rare that they ever turn up. "Algebra is the offer made by the devil to the mathematician. The devil says: `I will give you this powerful machine, it will answer any question you like. All you need to do is give me your soul: give up geometry and you will have this marvellous machine." If you attack a mathematical problem directly, very often you come to a dead end, nothing you do seems to work and you feel that if only you could peer round the corner there might be an easy solution. There is nothing like having somebody else beside you, because he can usually peer round the corner. I started out by changing local currency into foreign currency everywhere I travelled as a child and ended up making money. That's when my father realised that I would be a mathematician some day. The mathematical problems that have been solved or techniques that have arisen out of physics in the past have been the lifeblood of mathematics. The most useful piece of advice I would give to a mathematics student is always to suspect an impressive sounding Theorem if it does not have a special case which is both simple and non-trivial.
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Michael Atiyah
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2005 1990 1988 1995
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1929-04-22
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Michael Francis Atiyah
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2019-01-11
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De Morgan Medal Copley Medal Abel Prize Fields Medal Royal Medal Berwick Prize
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Michael Francis Atiyah
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