• Thumbnail for Gerd Faltings
    Gerd Faltings (German pronunciation: [ɡɛʁt ˈfaltɪŋs] ; born 28 July 1954) is a German mathematician known for his work in arithmetic geometry. From 1972...
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  • Thumbnail for Faltings's theorem
    ISBN 0-387-96311-1. MR 0861969. → Contains an English translation of Faltings (1983) Faltings, Gerd (1983). "Endlichkeitssätze für abelsche Varietäten über Zahlkörpern"...
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  • thesis, titled "Curves and their deformations," under the supervision of Gerd Faltings. He remained at Princeton for graduate studies and received his Ph.D...
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  • of Bonn, he obtained in 2007 a second PhD under the supervision of Gerd Faltings with his thesis on singular Arakelov geometry. Durov introduced commutative...
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  • Thumbnail for Wiles's proof of Fermat's Last Theorem
    by Simon Singh On 6 October Wiles asked three colleagues (including Gerd Faltings) to review his new proof, and on 24 October 1994 Wiles submitted two...
    59 KB (5,820 words) - 02:03, 5 August 2024
  • Grauert 2010 Matthias Kreck 2012 Michael Struwe 2014 Herbert Spohn 2017 Gerd Faltings 2019 Hélène Esnault 2021 Martin Grötschel 2024 Felix Otto Gauss Lectureship...
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  • between rings and their fields of fractions. They were introduced by Gerd Faltings (1988) in his study of p-adic Hodge theory. Let V be a local integral...
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  • Thumbnail for Peter Scholze
    compact form some of the previous fundamental theories pioneered by Gerd Faltings, Jean-Marc Fontaine and later by Kiran Kedlaya. His PhD thesis on perfectoid...
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  • field side. The development of Arakelov theory and its exploitation by Gerd Faltings in his proof of the Mordell conjecture is a dramatic example. The analogy...
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  • Prize in Mathematics: Simon Donaldson, Gerd Faltings and Michael Freedman Nobel Prizes Physics – Ernst Ruska, Gerd Binnig, Heinrich Rohrer Chemistry – Dudley...
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  • Thumbnail for Fermat's Last Theorem
    greater than two. This conjecture was proved in 1983 by Gerd Faltings, and is now known as Faltings's theorem. In the latter half of the 20th century, computational...
    103 KB (11,486 words) - 14:18, 8 August 2024
  • known in the case of function fields, in the case of number fields. Gerd Faltings (1984) extended Arakelov's work by establishing results such as a Riemann-Roch...
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  • Thumbnail for Leibniz Prize
    5 million per award. Past prize winners include Stefan Hell (2008), Gerd Faltings (1996), Peter Gruss (1994), Svante Pääbo (1992), Theodor W. Hänsch (1989)...
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  • Thumbnail for Abc conjecture
    algebraic numbers. The Mordell conjecture (already proven in general by Gerd Faltings). As equivalent, Vojta's conjecture in dimension 1. The Erdős–Woods...
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  • Thumbnail for Geordie Williamson
    and shadows of Hodge theory", in Werner Ballmann; Christian Blohmann; Gerd Faltings; Peter Teichner; Don Zagier (eds.), Arbeitstagung Bonn 2013: In Memory...
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  • Thumbnail for Michael J. Larsen
    his Ph.D. from Princeton University in 1988, under the supervision of Gerd Faltings. After working at the Institute for Advanced Study he joined the faculty...
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  • Thumbnail for Shaw Prize
    Retrieved 8 October 2022. "Shaw Prize in Mathematical Sciences Awarded to Gerd Faltings". Max Planck Institute for Mathematics. Archived from the original on...
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  • Thumbnail for University of Bonn
    physics, 1905 Reinhard Genzel, alumni: physics, 2020 Fields Medal: Gerd Faltings, 1986 Maxim Kontsevich, 1998 Gregori Margulis, 1978 Peter Scholze, 2018...
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  • Grothendieck (1997) in a 1983 letter to Gerd Faltings. Grothendieck, Alexander (1997), "Brief an G. Faltings", in Schneps, Leila; Lochak, Pierre (eds...
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  • heights in Arakelov theory. In 1983, Faltings developed his theory of Faltings heights in his proof of Faltings's theorem. Classical or naive height is...
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  • Gerd Egger (born 1943), German judoka Gerd Faltings (born 1954), German mathematician Gerd Frähmcke (born 1950), German middle-distance runner Gerd Frick...
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  • Thumbnail for John Tate (mathematician)
    general case, was involved in the proof of the Mordell conjecture by Gerd Faltings. Tate has also had a major influence on the development of number theory...
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  • (1996) gave explicit versions of Faltings' product theorem. Evertse, Jan-Hendrik (1995), "An explicit version of Faltings' product theorem and an improvement...
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  • the De Franchis-Severi theorem. It was used in an important way by Gerd Faltings to prove the Mordell conjecture. Castelnuovo–de Franchis theorem M....
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  • Thumbnail for Princeton University Department of Mathematics
    associated with the department include Manjul Bhargava, Charles Fefferman, Gerd Faltings, Michael Freedman, Elon Lindenstrauss, Andrei Okounkov, Terence Tao...
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  • Thumbnail for Fields Medal
    euclidian four-space which is different from the usual structure." Gerd Faltings Princeton University, US Max Planck Institute for Mathematics, Germany...
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  • Thumbnail for Max Planck Institute for Mathematics
    Hirzebruch and Yuri Manin were, and Günter Harder, Werner Ballmann, Gerd Faltings and Don Zagier are, acting as emeriti. The Max Planck Institute for...
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  • Thumbnail for Bonn
    1954), politician (CDU), former Minister of Defense and of the Interior Gerd Faltings (born 1954), mathematician, Fields Medal winner Olaf Manthey (born 1955)...
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  • computations in "Computable and Uncomputable" (in Russian)). 1983 – Gerd Faltings proves the Mordell conjecture and thereby shows that there are only...
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  • Thumbnail for Gelsenkirchen
    Research Center in Heidelberg Heinrich Breloer (born 1942), film director Gerd Faltings (born 1954), mathematician, Fields medalist (1986) Susanne Neumann (1959–2019)...
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