Герд Фалтингс

4.8k total citations · 1 hit paper
54 papers, 2.1k citations indexed

About

Герд Фалтингс is a scholar working on Geometry and Topology, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Герд Фалтингс has authored 54 papers receiving a total of 2.1k indexed citations (citations by other indexed papers that have themselves been cited), including 36 papers in Geometry and Topology, 24 papers in Mathematical Physics and 13 papers in Computational Theory and Mathematics. Recurrent topics in Герд Фалтингс's work include Algebraic Geometry and Number Theory (27 papers), Polynomial and algebraic computation (9 papers) and Advanced Algebra and Geometry (9 papers). Герд Фалтингс is often cited by papers focused on Algebraic Geometry and Number Theory (27 papers), Polynomial and algebraic computation (9 papers) and Advanced Algebra and Geometry (9 papers). Герд Фалтингс collaborates with scholars based in Germany, United States and Switzerland. Герд Фалтингс's co-authors include Ching-Li Chai, Gisbert Wüstholz, Shou-Wu Zhang, Richard Pink, A. J. de Jong, Nicholas M. Katz, Günter Harder, Peter Teichner, Don Zagier and Werner Ballmann and has published in prestigious journals such as Annals of Mathematics, Inventiones mathematicae and Advances in Mathematics.

In The Last Decade

Герд Фалтингс

53 papers receiving 1.6k citations

Hit Papers

1 papers align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

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1983 455 citations Герд Фалтингс profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Герд Фалтингс Germany	19	1.9k	1.3k	698	379	207	54	2.1k
Siegfried Bosch Germany	16	1.7k 0.9×	1.3k 1.0×	396 0.6×	324 0.9×	175 0.8×	39	1.8k
Jan Denef Belgium	21	1.3k 0.6×	782 0.6×	571 0.8×	396 1.0×	190 0.9×	57	1.5k
Michel Raynaud France	14	1.6k 0.8×	966 0.7×	666 1.0×	273 0.7×	87 0.4×	26	1.7k
Enrico Arbarello Italy	17	2.0k 1.0×	1.0k 0.8×	559 0.8×	505 1.3×	274 1.3×	25	2.1k
Spencer Bloch United States	25	1.6k 0.8×	1.2k 1.0×	498 0.7×	188 0.5×	138 0.7×	58	1.9k
Kenneth A. Ribet United States	21	1.4k 0.7×	1.1k 0.9×	651 0.9×	200 0.5×	49 0.2×	50	1.5k
Heisuke Hironaka United States	15	1.7k 0.9×	861 0.7×	666 1.0×	529 1.4×	355 1.7×	25	2.0k
Marvin Tretkoff United States	7	1.1k 0.5×	923 0.7×	605 0.9×	155 0.4×	91 0.4×	23	1.4k
Umberto Zannier Italy	20	1.3k 0.6×	507 0.4×	609 0.9×	463 1.2×	261 1.3×	166	1.5k
Igor Dolgachev United States	21	1.4k 0.7×	859 0.7×	325 0.5×	256 0.7×	139 0.7×	58	1.6k

Countries citing papers authored by Герд Фалтингс

Since Specialization

Citations

This map shows the geographic impact of Герд Фалтингс's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Герд Фалтингс with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Герд Фалтингс more than expected).

Fields of papers citing papers by Герд Фалтингс

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Герд Фалтингс. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Герд Фалтингс. The network helps show where Герд Фалтингс may publish in the future.

Co-authorship network of co-authors of Герд Фалтингс

This figure shows the co-authorship network connecting the top 25 collaborators of Герд Фалтингс. A scholar is included among the top collaborators of Герд Фалтингс based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Герд Фалтингс. Герд Фалтингс is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

1.

Фалтингс, Герд, A. J. de Jong, & Richard Pink. (2009). Arithmetic Algebraic Geometry. Oberwolfach Reports. 5(3). 1979–2026. 2 indexed citations

2.

Фалтингс, Герд. (2008). Theta functions on moduli spaces of 𝐺-bundles. Journal of Algebraic Geometry. 18(2). 309–369. 5 indexed citations

3.

Фалтингс, Герд, Günter Harder, & Nicholas M. Katz. (2005). Arithmetic Algebraic Geometry. Oberwolfach Reports. 1(3). 1971–2014. 1 indexed citations

4.

Фалтингс, Герд. (2005). A p-adic Simpson correspondence. Advances in Mathematics. 198(2). 847–862. 39 indexed citations

5.

Фалтингс, Герд. (2003). Algebraic loop groups and moduli spaces of bundles. Journal of the European Mathematical Society. 5(1). 41–68. 64 indexed citations

6.

Фалтингс, Герд. (2002). Almost étale extensions. Astérisque. 279. 185–270. 39 indexed citations

7.

Фалтингс, Герд. (1999). Integral crystalline cohomology over very ramified valuation rings. Journal of the American Mathematical Society. 12(1). 117–144. 51 indexed citations

8.

Фалтингс, Герд. (1998). Curves and their fundamental groups. French digital mathematics library (Numdam). 40. 131–150. 3 indexed citations

9.

Фалтингс, Герд. (1997). Explicit resolution of local singularities of moduli-spaces.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1997(483). 183–196. 13 indexed citations

10.

Фалтингс, Герд. (1996). Moduli-stacks for bundles on semistable curves. Mathematische Annalen. 304(1). 489–515. 37 indexed citations

11.

Фалтингс, Герд, et al.. (1995). Crystalline cohomology and GL(2, ℚ). Israel Journal of Mathematics. 90(1-3). 1–66. 15 indexed citations

12.

Фалтингс, Герд. (1991). Diophantine Approximation on Abelian Varieties. Annals of Mathematics. 133(3). 549–549. 184 indexed citations

13.

Фалтингс, Герд. (1988). Crystalline cohomology and p-adic Galois-representations. Medical Entomology and Zoology. 101 indexed citations

14.

Фалтингс, Герд. (1988). 𝑝-adic Hodge theory. Journal of the American Mathematical Society. 1(1). 255–299. 70 indexed citations

15.

Фалтингс, Герд & Gisbert Wüstholz. (1986). Rational Points. 5 indexed citations

16.

Фалтингс, Герд. (1983). Real projective structures on Riemann surfaces. Compositio Mathematica. 48(2). 223–269. 24 indexed citations

17.

Фалтингс, Герд. (1981). Verschwindungssätze und Untermannigfaltigkeiten kleiner Kodimension des komplex-projektiven Raumes.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1981(326). 136–151. 9 indexed citations

18.

Фалтингс, Герд. (1981). Der Endlichkeitssatz in der lokalen Kohomologie. Mathematische Annalen. 255(1). 45–56. 33 indexed citations

19.

Фалтингс, Герд. (1980). A contribution to the theory of formal meromorphic functions. Nagoya Mathematical Journal. 77. 99–106. 13 indexed citations

20.

Фалтингс, Герд. (1980). Some Theorems about Formal Functions. Publications of the Research Institute for Mathematical Sciences. 16(3). 721–737. 13 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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