Gerd Faltings

Q: What Schools Are Affiliated With Gerd Faltings

Gerd Faltings is affiliated with the following schools: University of Wuppertal, Princeton University, University of Bonn, University of Münster

Gerd Faltings's AcademicInfluence.com Rankings

Gerd Faltings

Mathematics

#95

World Rank

#259

Historical Rank

Number Theory

#21

World Rank

#38

Historical Rank

Measure Theory

#1987

World Rank

#2413

Historical Rank

mathematics Degrees

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Mathematics

Gerd Faltings's Degrees

PhD Mathematics University of Münster

Why Is Gerd Faltings Influential?

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According to Wikipedia, Gerd Faltings is a German mathematician known for his work in arithmetic geometry. Education From 1972 to 1978, Faltings studied mathematics and physics at the University of Münster. In 1978 he received his PhD in mathematics.

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Gerd Faltings's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Endlichkeitssätze für abelsche Varietäten über Zahlkörpern (1983) (1265)
Degeneration of Abelian varieties (1990) (790)
Diophantine approximation on abelian varieties (1991) (407)
Calculus on arithmetic surfaces (1984) (349)
Crystalline cohomology and p-adic Galois-representations (1988) (326)
p-adic Hodge theory (1988) (215)
The General Case of S. Lang's Conjecture (1994) (210)
Finiteness Theorems for Abelian Varieties over Number Fields (1986) (176)
Algebraic loop groups and moduli spaces of bundles (2003) (173)
Integral crystalline cohomology over very ramified valuation rings (1999) (144)
Almost étale extensions (2002) (140)
Arakelov's theorem for abelian varieties (1983) (127)
Diophantine approximations on projective spaces (1994) (82)
Complements to Mordell (1992) (75)
Über die Annulatoren lokaler Kohomologiegruppen (1978) (74)
Hodge-tate structures and modular forms (1987) (72)
Über lokale Kohomologiegruppen hoher Ordnung. (1980) (70)
Moduli-stacks for bundles on semistable curves (1996) (69)
On the cohomology of locally symmetric hermitian spaces (1983) (60)
Group schemes with strict O-action (2002) (54)
Real projective structures on Riemann surfaces (1983) (52)
Lectures on the Arithmetic Riemann-Roch Theorem. (1992) (50)
Der Endlichkeitssatz in der lokalen Kohomologie (1981) (47)
Formale Geometrie und homogene Räume (1981) (45)
Ein Kriterium für vollständige Durchschnitte (1980) (38)
Mumford-Stabilität in der algebraischen Geometrie (1995) (38)
Arithmetische Kompaktifizierung des Modulraums der abelschen Varietäten (1985) (37)
The trace formula and Drinfeld’s upper halfplane (1994) (35)
A p-adic Simpson correspondence (2005) (34)
Einbettungen kommutativer algebraischer Gruppen und einige ihrer Eigenschaften. (1984) (33)
A Relation between two moduli spaces studied by V.G. Drinfeld (2002) (33)
Coverings of p-adic period domains (2010) (31)
Algebraisation of some formal vector bundles (1979) (30)
Toroidal Resolutions for Some Matrix Singularities (2001) (30)
A contribution to the theory of formal meromorphic functions (1980) (29)
Explicit resolution of local singularities of moduli-spaces. (1997) (28)
Crystalline cohomology and GL(2, ℚ) (1995) (28)
FINITENESS OF COHERENT COHOMOLOGY FOR PROPER fppf (2003) (27)
Some Theorems about Formal Functions (1980) (24)
F-Isocrystals on Open Varieties Results and Conjectures (2007) (22)
Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127) (1992) (22)
Semistable vector bundles on Mumford curves (1983) (21)
Degeneration of Polarized Abelian Varieties (1990) (17)
Finiteness of coherent cohomology for proper stacks (2003) (17)
Rational points : Seminar Bonn/Wuppertal 1983/84 (1984) (14)
Mathematics around Kim's new proof of Siegel's theorem (2007) (13)
Verschwindungssätze und Untermannigfaltigkeiten kleiner Kodimension des komplex-projektiven Raumes. (1981) (12)
On arithmetic families of filtered φ-modules and crystalline representations (2011) (12)
Curves and their fundamental groups (1998) (10)
Über Macaulayfizierung (1978) (10)
A Panorama in Number Theory or The View from Baker's Garden: A New Application of Diophantine Approximations (2002) (10)
On filtrations of vector bundles over P1Z (2015) (7)
Arithmetic Eisenstein Classes on the Siegel Space: Some Computations (2005) (7)
Arbeitstagung Bonn 2013 : in memory of Friedrich Hirzebruch (2016) (7)
Theta functions on moduli spaces of $G$-bundles (2009) (6)
Does there exist an arithmetic Kodaira-Spencer class? (1999) (6)
Néron Models and Formal Groups (2008) (5)
Endlichkeitssätze für abelsche Varietäten über Zahlkörpern (1983) (5)
A P-Adic Simpson Correspondence II: Small Representations (2011) (5)
Zur Existenz dualisierender Komplexe (1978) (5)
LECTURE 6. ARITHMETIC RIEMANN-ROCH THEOREM (1992) (4)
Arithmetic theory of Siegel modular forms (1987) (4)
Some Historical Notes (1986) (3)
On Fundamental Groups of Galois Closures of Generic Projections (3)
Equations in matrix groups and algebras over number fields and rings: prolegomena to a lowbrow noncommutative Diophantine geometry (2015) (3)
Endlichkeitss~itze fiir abelsche Variet~iten fiber Zahlki~rpern (1983) (2)
LECTURE 4. THE LOCAL INDEX THEOREM FOR DIRAC OPERATORS (1992) (2)
Recent progress in diophantine geometry (1992) (2)
Toroidal Compactification of A g (1990) (2)
Review: Gerard van der Geer, Hilbert modular surfaces (1989) (2)
Ein einfacher Beweis, da\ geometrische Regularität formale Glattheit impliziert (1978) (2)
Ein Kriterium fiir vollst~indige Durchschnitte (1981) (2)
Thetafunktionen auf Modulräumen von Vektorbündeln (2008) (2)
Arakelov geometry on degenerating curves (2020) (1)
The category in the semistable case (2016) (1)
Der Beweis der Fermat- Vermutung durch R . Taylor und A . Wiles (1995) (1)
Properties of Arakelov's intersection product (1983) (1)
Galois cohomology of Fontaine rings (2007) (1)
Arithmetic Algebraic Geometry (2004) (1)
The category $\mathcal{MF}$ in the semistable case@@@The category $\mathcal{MF}$ in the semistable case (2016) (1)
Chapter 5 The Motivic Logarithm for Curves (2019) (0)
Arithmetic and Geometry: Workshop on Serre's conjecture (2015) (0)
Eichler Integrals in Several Variables (1990) (0)
LECTURE 7. THE THEOREM OF BISMUT-VASSEROT (1992) (0)
LECTURE 1. CLASSICAL RIEMANN-ROCH THEOREM (1992) (0)
Arithmetic Geometry (2021) (0)
LECTURES ON ARAKELOV GEOMETRY (1994) (0)
Arithmetic and Geometry (2019) (0)
Note: Vector Bundles on Curves (2008) (0)
LECTURE 3. LAPLACIANS AND HEAT KERNELS (1992) (0)
Facsimile : A p-adic Simpson correspondence (2016) (0)
Hecke Operators and Frobenii (1990) (0)
Recent progress in arithmetic algebraic geometry (1986) (0)
Ergänzungen zu einem Artikel über dualisierende Komplexe (1979) (0)
The Motivic Logarithm for Curves (2012) (0)
LECTURE 2. CHERN CLASSES OF ARITHMETIC VECTOR BUNDLES (1992) (0)
Integrality of Tate-cycles. (1997) (0)
Modular Forms and the Minimal Compactification (1990) (0)
LECTURE 5. NUMBER OPERATORS AND DIRECT IMAGES (1992) (0)
The norm of the Weierstrass section (2017) (0)
LIST OF SYMBOLS (1992) (0)
NOLI TURBARE CIRCULOS MEOS – A MATHEMATICAL TRIBUTE TO REINHARD BÖRGER (2015) (0)
Mumford’s Construction (1990) (0)
Report on Arithmetic Intersections (1987) (0)
Notes on Arakelov Theory (2011) (0)
Book Review: Hilbert modular surfaces (1989) (0)

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What Schools Are Affiliated With Gerd Faltings?

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Gerd Faltings's Published Works

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What Schools Are Affiliated With Gerd Faltings?

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