Gerd Faltings

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Gerd Faltings
Gerd Faltings MFO.jpg
Born (1954-07-28) 28 July 1954 (age 63)
Gelsenkirchen-Buer, West Germany
Nationality German
Alma mater University of Münster
Known for
Awards Fields Medal (1986) Guggenheim Fellowship (1988)
Leibniz Prize (1996)
King Faisal International Prize (2014)
Shaw Prize (2015)
Cantor Medal (2017)
Scientific career
Fields Mathematics
Institutions Max Planck Institute for Mathematics
University of Bonn
Princeton University
University of Wuppertal
Doctoral advisor Hans-Joachim Nastold
Doctoral students

Gerd Faltings (German: [ˈfaltɪŋs]; born 28 July 1954) is a German mathematician known for his work in arithmetic algebraic geometry.[2][3]


From 1972 to 1978, Faltings studied mathematics and physics at the University of Münster. In 1978 he received his PhD in mathematics.[3]

Career and research

In 1981 he obtained the venia legendi (Habilitation) in mathematics, both from the University of Münster. During this time he was an assistant professor at the University of Münster. From 1982 to 1984, he was professor at the University of Wuppertal.[4] After that he was professor at Princeton University from 1985 to 1994. In the fall of 1988 and in the academic year 1992–1993 he was a visiting scholar at the Institute for Advanced Study.[5]

He was awarded the Fields Medal at the ICM at Berkeley in 1986 for proving the Tate conjecture for abelian varieties over number fields, the Shafarevich conjecture for abelian varieties over number fields and the Mordell conjecture, which states that any non-singular projective curve of genus g > 1 defined over a number field K contains only finitely many K-rational points. As a Fields Medallist he gave an ICM plenary talk Recent progress in arithmetic algebraic geometry. In 1994 as an ICM invited speaker in Zurich he gave a talk Mumford-Stabilität in der algebraischen Geometrie. He proved an even much more general of the Mordell conjecture, the Mordell–Lang conjecture. Together with Gisbert Wüstholz, he reproved Roth's theorem, for which Roth was awarded the Fields medal in 1958.

Since 1994 he has been a director of the Max Planck Institute for Mathematics in Bonn. In 1996, he received the Gottfried Wilhelm Leibniz Prize of the Deutsche Forschungsgemeinschaft, which is the highest honour awarded in German research.

Faltings was the formal supervisor of Shinichi Mochizuki, Wieslawa Niziol, Nikolai Dourov.

Awards and honours


  1. ^ Castelvecchi, Davide (7 October 2015). "The biggest mystery in mathematics: Shinichi Mochizuki and the impenetrable proof". Nature. 526: 178–181. PMID 26450038. doi:10.1038/526178a. 
  2. ^ O'Connor, John J.; Robertson, Edmund F., "Gerd Faltings", MacTutor History of Mathematics archive, University of St Andrews .
  3. ^ a b Gerd Faltings at the Mathematics Genealogy Project
  4. ^ Kirbach, Roland (8 June 1984). "Gerd Faltings: Genie ist für ihn normal" [Gerd Faltings: For him, genius is the norm]. Die Zeit (in German). Retrieved 14 May 2013. 
  5. ^ Faltings, Gerd | Institute for Advanced Study
  6. ^ John Simon Guggenheim Foundation | Gerd Faltings
  7. ^ Shaw Prize 2015
  8. ^ Royal Society
  9. ^ Cantor Medal 2017

External links

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