

1978  PhD, University of Münster  1978  1979  Visitor, Harvard University, Cambridge, MA, USA  1979  1982  Assistant Professor, University of Münster  1981  Habilitation, University of Münster  1982  1984  Professor, University of Wuppertal  1985  1994  Professor, Princeton University, NJ, USA  Since 1994  Scientific Member, Max Planck Institute for Mathematics, Bonn  Since 1995  Director, Max Planck Institute for Mathematics, Bonn 


Diophantine equations
Arakelov theory
Abelian varieties
Moduli spaces of vectorbundles
padic Hodge theory


I do research on whatever I find interesting.


Former Research Area D I have found a crystalline version of nonabelian padic 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 Ktheory, as well as a good definition of torsors over it.  Former Research Area E Using the Hitchin fibration, the dimension of global sections for linebundles of central charge one on moduli spaces of Gbundles has been computed in [2]. In [3], I determined the image of the RapoportZink period map in the case of GL(n), confirming conjectures of Hartl and RapoportZink.  Research Area DE I extended the definition of the category MF to the semistable case. As an application I could construct semistable models for certain Shimuravarieties defined by Spingroups with levelstructure, see [4]. I also obtained estimates for the norms of Weierstrasssections on curves. 


[ 1] Gerd Faltings
Mathematics around Kim's new proof of Siegel's theorem Diophantine geometry of CRM Series : 173188 Publisher: Ed. Norm., Pisa 2007[ 2] Gerd Faltings
Theta functions on moduli spaces of Gbundles J. Algebraic Geom. , 18: (2): 309369 2009 ISSN: 10563911 DOI: 10.1090/S1056391108004992[ 3] Gerd Faltings
Coverings of padic period domains J. Reine Angew. Math. , 643: : 111139 2010 ISSN: 00754102 DOI: 10.1515/CRELLE.2010.046[ 4] G. Faltings
The category {\CalMF} in the semistable case Izv. Ross. Akad. Nauk Ser. Mat. , 80: (5): 4160 2016 ISSN: 16070046 DOI: 10.4213/im8490[ 5] Gerd Faltings
Algebraic loop groups and moduli spaces of bundles J. Eur. Math. Soc. (JEMS) , 5: (1): 4168 2003 ISSN: 14359855 DOI: 10.1007/s100970020045x[ 6] Gerd Faltings
Almost étale extensions Cohomologies padiques et applications arithmétiques, II Astérisque (279): 185270 2002 ISSN: 03031179[7] Gerd Faltings
A relation between two moduli spaces studied by V. G. Drinfeld Algebraic number theory and algebraic geometry of Contemp. Math. : 115129 Publisher: Amer. Math. Soc., Providence, RI 2002 DOI: 10.1090/conm/300/05145 [8] Gerd Faltings
A proof for the Verlinde formula J. Algebraic Geom. , 3: (2): 347374 1994 ISSN: 10563911 [ 9] Gerd Faltings
Stable Gbundles and projective connections J. Algebraic Geom. , 2: (3): 507568 1993 ISSN: 10563911[ 10] Gerd Faltings
Diophantine approximation on abelian varieties Ann. of Math. (2) , 133: (3): 549576 1991 ISSN: 0003486X DOI: 10.2307/2944319[ 11] Gerd Faltings, ChingLi 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: SpringerVerlag, Berlin 1990 ISBN: 3540520155 DOI: 10.1007/9783662026328[ 12] Gerd Faltings
Calculus on arithmetic surfaces Ann. of Math. (2) , 119: (2): 387424 1984 ISSN: 0003486X DOI: 10.2307/2007043



• Compositio Mathematica (Associate Editor)
• Journal of Algebraic Geometry (Editorial Board Member)


1984  Dannie Heinemann Preis  1986  Fields Medal  1988  Guggenheim Fellowship  1996  Leibniz Prize  2008  Karl Georg Christian von Staudt Prize  2009  Bundesverdienstkreuz I. Klasse (Officer's Cross of the Order of Merit of the Federal Republic of Germany)  2010  GuminPreis  2014  King Faisal International Prize  2015  Shaw Prize  2017  Cantor medal of the German Mathematical Society (Deutsche MathematikerVereinigung, DMV) 


1986  ICM, Plenary Address, Berkeley, CA, USA  1994  ICM, Invited Talk, Zürich, Switzerland 


Michael Larsen (1988): “Unitary Groups and LAdic Representations”,
now Professor, Indiana University, IN, USA
Wieslawa Niziol (1991): “On A Cohomological Functor Associated To Crystalline Representations”,
now Directrice de recherche, CNRS, UMPA, École Normale Supérieure de Lyon, France
Shinichi Mochizuki (1992): “The Geometry of the Compactification of the Hurwitz Scheme”,
now Professor, Kyoto University, Japan
Tyler Jarvis (1994): “Compactification Of The Moduli Space Of Generalized Spin Curves”,
now Professor, Brigham Young University, UT, USA
Christian Liedtke (2004): “On Fundamental Groups of Galois Closures of Generic Projections”,
now Professor, TU Munich
Majid Hadian (2010): “Motivic Fundamental Groups and Integral Points”,
now ScottRussellJohnson Research Assistant Professor, California Institute of Technology, Pasadena, CA, USA


 PhD theses: 1, currently 1


Download Profile 