Gerd Faltings

















































Gerd Faltings

Gerd Faltings MFO.jpg
Gerd Faltings

Born
(1954-07-28) 28 July 1954 (age 64)

Gelsenkirchen-Buer, West Germany
Nationality German
Alma mater University of Münster
Known for


  • Mordell conjecture

  • Faltings height

  • Faltings's product theorem
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



  • Shinichi Mochizuki[1]


  • Wiesława Nizioł[2]

  • Nikolai Durov

Website www.hcm.uni-bonn.de/people/profile/gerd-faltings/

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




Contents






  • 1 Education


  • 2 Career and research


  • 3 Awards and honours


  • 4 References


  • 5 External links





Education


From 1972 to 1978, Faltings studied mathematics and physics at the University of Münster. In 1978 he received his PhD in mathematics.[4]



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.[5]


From 1985 to 1994, he was professor at Princeton University. In the fall of 1988 and in the academic year 1992–1993 he was a visiting scholar at the Institute for Advanced Study.[6]


In 1986 he was awarded the Fields Medal at the ICM at Berkeley 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 Medalist 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. Extending methods of Paul Vojta, he proved the Mordell–Lang conjecture, which is a generalization of the Mordell conjecture. Together with Gisbert Wüstholz, he reproved Roth's theorem, for which Roth had been awarded the Fields medal in 1958.


In 1994, he returned to Germany and from 1994 to 2018, he was 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,[1]Wieslawa Niziol,[2]Nikolai Dourov.



Awards and honours




  • Fields Medal (1986)


  • Guggenheim Fellowship (1988/89) [7]


  • Gottfried Wilhelm Leibniz Prize (1996)


  • King Faisal International Prize (2014)


  • Shaw Prize (2015) [8]


  • Foreign Member of the Royal Society (2016) [9]


  • Cantor Medal (2017) [10]


  • National Academy of Sciences foreign associate (2018)[citation needed]



References





  1. ^ ab Castelvecchi, Davide (7 October 2015). "The biggest mystery in mathematics: Shinichi Mochizuki and the impenetrable proof". Nature. 526: 178–181. doi:10.1038/526178a. PMID 26450038..mw-parser-output cite.citation{font-style:inherit}.mw-parser-output .citation q{quotes:"""""""'""'"}.mw-parser-output .citation .cs1-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/6/65/Lock-green.svg/9px-Lock-green.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .citation .cs1-lock-limited a,.mw-parser-output .citation .cs1-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Lock-gray-alt-2.svg/9px-Lock-gray-alt-2.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .citation .cs1-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/a/aa/Lock-red-alt-2.svg/9px-Lock-red-alt-2.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration{color:#555}.mw-parser-output .cs1-subscription span,.mw-parser-output .cs1-registration span{border-bottom:1px dotted;cursor:help}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Wikisource-logo.svg/12px-Wikisource-logo.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output code.cs1-code{color:inherit;background:inherit;border:inherit;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;font-size:100%}.mw-parser-output .cs1-visible-error{font-size:100%}.mw-parser-output .cs1-maint{display:none;color:#33aa33;margin-left:0.3em}.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration,.mw-parser-output .cs1-format{font-size:95%}.mw-parser-output .cs1-kern-left,.mw-parser-output .cs1-kern-wl-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right,.mw-parser-output .cs1-kern-wl-right{padding-right:0.2em}


  2. ^ ab 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. ^ ab Gerd Faltings at the Mathematics Genealogy Project


  5. ^ 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.


  6. ^ Faltings, Gerd | Institute for Advanced Study


  7. ^ John Simon Guggenheim Foundation | Gerd Faltings


  8. ^ Shaw Prize 2015


  9. ^ Royal Society


  10. ^ Cantor Medal 2017




External links












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