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Gerd Faltings information


Gerd Faltings
Faltings in 2005
Born (1954-07-28) 28 July 1954 (age 69)
Gelsenkirchen-Buer, West Germany
NationalityGerman
Alma materUniversity of Münster
Known for
  • Almost ring
  • Faltings's theorem
  • Faltings height
  • Faltings's product theorem
AwardsFields Medal (1986)
Guggenheim Fellowship (1988)
Leibniz Prize (1996)
King Faisal International Prize (2014)
Shaw Prize (2015)
Cantor Medal (2017)
Scientific career
FieldsMathematics
InstitutionsMax Planck Institute for Mathematics
University of Bonn
Princeton University
University of Wuppertal
Doctoral advisorHans-Joachim Nastold
Doctoral students
  • Michael J. Larsen
  • Shinichi Mochizuki[1]
  • Wiesława Nizioł[2]
  • Nikolai Durov
Websitewww.hcm.uni-bonn.de/people/profile/gerd-faltings/

Gerd Faltings (German pronunciation: [ɡɛʁt ˈfaltɪŋs] ; born 28 July 1954) is a German mathematician known for his work in arithmetic geometry.[3][4]

  1. ^ Castelvecchi, Davide (7 October 2015). "The biggest mystery in mathematics: Shinichi Mochizuki and the impenetrable proof". Nature. 526 (7572): 178–181. Bibcode:2015Natur.526..178C. doi:10.1038/526178a. PMID 26450038.
  2. ^ Gerd Faltings at the Mathematics Genealogy Project
  3. ^ O'Connor, John J.; Robertson, Edmund F., "Gerd Faltings", MacTutor History of Mathematics Archive, University of St Andrews
  4. ^ Gerd Faltings at the Mathematics Genealogy Project

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Gerd Faltings

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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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Shinichi Mochizuki

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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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Nikolai Durov

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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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Arakelov theory

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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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Almost ring

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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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Timeline of number theory

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conjectures relating number theory and representation theory. 1983 — Gerd Faltings proves the Mordell conjecture and thereby shows that there are only...

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Cantor medal

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Grauert 2010 Matthias Kreck 2012 Michael Struwe 2014 Herbert Spohn 2017 Gerd Faltings 2019 Hélène Esnault 2021 Martin Grötschel Gauss Lectureship List of...

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Peter Scholze

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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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Geordie Williamson

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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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1986 in science

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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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Global field

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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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Abc conjecture

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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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Leibniz Prize

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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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Shaw Prize

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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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Height function

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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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University of Bonn

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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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Max Planck Institute for Mathematics

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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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Gelsenkirchen

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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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Princeton University Department of Mathematics

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associated with the department include Manjul Bhargava, Charles Fefferman, Gerd Faltings, Michael Freedman, Elon Lindenstrauss, Andrei Okounkov, Terence Tao...

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Section conjecture

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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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Bonn

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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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Timeline of mathematics

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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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Fields Medal

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four-space which is different from the usual structure."[dubious – discuss] Gerd Faltings Princeton University, US Max Planck Institute for Mathematics, Germany...

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