Profile
Profile

Prof. Dr. Gerd Faltings

E-mail: faltings(at)mpim-bonn.mpg.de
Phone: +49 228 402 229
Homepage: http://www.mpim-bonn.mpg.de/node/102
Location: Max-Planck-Institute for Mathematics
Institute: Max-Planck-Institute for Mathematics
Research Areas: Former Research Area E (Leader)
Research Area DE
Former Research Area D
Former Research Area F
Birthdate: 28.Jul 1954
Mathscinet-Number: 65080

Publications

Academic Career

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

Research profile

Diophantine equations, Arakelov theory, abelian varieties, moduli spaces of vectorbundles, p-adic Hodge theory

Selected Publications

[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
[4] Gerd Faltings
Néron models and formal groups
Milan J. Math. , 76: : 93--123
2008
ISSN: 1424-9286
DOI: 10.1007/s00032-008-0086-z
[5] Gerd Faltings
Thetafunktionen auf Modulräumen von Vektorbündeln
Jahresber. Deutsch. Math.-Verein. , 110: (1): 3--17
2008
ISSN: 0012-0456
[6] Gerd Faltings
A p-adic Simpson correspondence
Adv. Math. , 198: (2): 847--862
2005
ISSN: 0001-8708
DOI: 10.1016/j.aim.2005.05.026
[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

Awards

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

Invited Lectures

1986

ICM Plenary Address

1994

ICM invited talk

Editorships

Associate editor or board member: Compositio Mathematica, Journal of Algebraic Geometry

Research Projects and Activities

I do research on whatever I find interesting

Contribution to Research Areas

Former 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.
Former 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.
Research Area DE

Selected PhD students

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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