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| 1978 | PhD, Münster University | | 1978--79 | Visitor, Harvard University | | 1979--82 | Assistant, Münster University | | 1981 | Habilitation, Münster University | | 1982--84 | Professor, Wuppertal University | | 1985--94 | Professor, Princeton University | | 1994-- | Director, Max Planck Institute, Bonn |
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Diophantine equations, Arakelov theory, abelian varieties, moduli spaces of vectorbundles, p-adic Hodge theory
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[ 1] Gerd Faltings
Mathematics around Kim's new proof of Siegel's theorem
Diophantine geometry
of CRM Series : 173--188
Publisher: Ed. Norm., Pisa
2007[ 2] Gerd Faltings
Theta functions on moduli spaces of G-bundles
J. Algebraic Geom. , 18: (2): 309--369
2009
ISSN: 1056-3911[ 3] Gerd Faltings
Coverings of p-adic period domains
J. Reine Angew. Math. , 643: : 111--139
2010
ISSN: 0075-4102
DOI: 10.1515/CRELLE.2010.046[ 5] Gerd Faltings
Thetafunktionen auf Modulräumen von Vektorbündeln
Jahresber. Deutsch. Math.-Verein. , 110: (1): 3--17
2008
ISSN: 0012-0456[ 7] Gerd Faltings
Algebraic loop groups and moduli spaces of bundles
J. Eur. Math. Soc. (JEMS) , 5: (1): 41--68
2003
ISSN: 1435-9855
DOI: 10.1007/s10097-002-0045-x[ 8] Gerd Faltings, Ching-Li Chai
Degeneration of abelian varieties
With an appendix by David Mumford
of Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)] : xii+316
Publisher: Springer-Verlag, Berlin
1990
ISBN: 3-540-52015-5[ 9] Gerd Faltings
p-adic Hodge theory
J. Amer. Math. Soc. , 1: (1): 255--299
1988
ISSN: 0894-0347
DOI: 10.2307/1990970[ 10] G. Faltings
Endlichkeitssätze für abelsche Varietäten über Zahlkörpern
Invent. Math. , 73: (3): 349--366
1983
ISSN: 0020-9910
DOI: 10.1007/BF01388432 |
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| 1984 | Dannie Heinemann Preis | | 1986 | Fields Medal | | 1988 | Guggenheim Fellowship | | 1996 | Leibniz-Preis | | 2008 | Karl-Georg-Christian-von-Staudt-Preis | | 2009 | Bundesverdienstkreuz I. Klasse | | 2010 | Gumin-Preis |
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| 1986 | ICM Plenary Address | | 1994 | ICM invited talk |
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Associate editor or board member: Compositio Mathematica, Journal of Algebraic Geometry
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I do research on whatever I find interesting
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Research Area D
I have found a crystalline version of nonabelian p-adic Hodge theory for ‘small’ representations. Motivic cohomology and Diophantine equations: Kim has introduced a new method into Diophantine approximation. The paper [1] constructs a motivic logarithm for arbitrary curves. An open question is the construction of such an object in algebraic K-theory, as well as a good definition of torsors over it. | Research Area E
Using the Hitchin fibration, the dimension of global sections for line-bundles of central charge one on moduli spaces of G-bundles has been computed in [2]. In [3] I determined the image of the Rapoport-Zink period map in the case of GL(n), confirming conjectures of Hartl and Rapoport-Zink. |
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Michael Larsen (1988), now Professor Indiana; Wieslawa Niziol (1991), now Associate Professor
Utah; Shinichi Mochizuki (1992), now Professor Kyoto; Jarvis Tyler (1994), now Professor
Brigham Young; Christian Liedtke (2004), now Postdoc Stanford; Majid Hadian (2010), now
Postdoc Duisburg-Essen.
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