Prof. Dr. Gerd Faltings |
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Academic Career | |||||||||||||||||||||||||||||||||||
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Awards | |||||||||||||||||||||||||||||||||||
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Invited Lectures | |||||||||||||||||||||||||||||||||||
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Editorships | |||||||||||||||||||||||||||||||||||
• Compositio Mathematica (Associate Editor)
• Journal of Algebraic Geometry (Editorial Board) |
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Research Projects and Activities | |||||||||||||||||||||||||||||||||||
I do research on whatever I find interesting.
DFG Cluster of Excellence “Hausdorff Center for Mathematics”, Principal Investigator and member of the Board of Directors |
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Research Profile | |||||||||||||||||||||||||||||||||||
Diophantine equations
Arakelov theory Abelian varieties Moduli spaces of vectorbundles p-adic Hodge theory |
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General research topics for PhD theses | |||||||||||||||||||||||||||||||||||
algebraic geometry, applications in arithmetic | |||||||||||||||||||||||||||||||||||
Recent and planned postgraduate teaching | |||||||||||||||||||||||||||||||||||
Course ''arithmetic geometry'' on varying topics | |||||||||||||||||||||||||||||||||||
Selected PhD students | |||||||||||||||||||||||||||||||||||
Michael Larsen (1988): “Unitary Groups and L-Adic 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 Scott-Russell-Johnson Research Assistant Professor, California Institute of Technology, Pasadena, CA, USA |
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Selected Publications | |||||||||||||||||||||||||||||||||||
[1] G. Faltings The category ℳℱ in the semistable case Izv. Ross. Akad. Nauk Ser. Mat. , 80: (5): 41--60 2016 DOI: 10.4213/im8490 [2] Gerd Faltings Coverings of p-adic period domains J. Reine Angew. Math. , 643: : 111--139 2010 DOI: 10.1515/CRELLE.2010.046 [3] Gerd Faltings Algebraic loop groups and moduli spaces of bundles J. Eur. Math. Soc. (JEMS) , 5: (1): 41--68 2003 DOI: 10.1007/s10097-002-0045-x [4] Gerd Faltings Almost étale extensions Cohomologies p-adiques et applications arithmétiques, II Astérisque (279): 185--270 2002 [5] Gerd Faltings A relation between two moduli spaces studied by V. G. Drinfeld Algebraic number theory and algebraic geometry of Contemp. Math. : 115--129 Publisher: Amer. Math. Soc., Providence, RI 2002 DOI: 10.1090/conm/300/05145 [7] Gerd Faltings Stable G-bundles and projective connections J. Algebraic Geom. , 2: (3): 507--568 1993 [8] Gerd Faltings Diophantine approximation on abelian varieties Ann. of Math. (2) , 133: (3): 549--576 1991 DOI: 10.2307/2944319 [9] 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 DOI: 10.1007/978-3-662-02632-8 [10] Gerd Faltings
Calculus on arithmetic surfaces Ann. of Math. (2) , 119: (2): 387--424 1984 DOI: 10.2307/2007043 |
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Publication List |