Helmut Koch

651 total citations
39 papers, 245 citations indexed

About

Helmut Koch is a scholar working on Geometry and Topology, Algebra and Number Theory and Mathematical Physics. According to data from OpenAlex, Helmut Koch has authored 39 papers receiving a total of 245 indexed citations (citations by other indexed papers that have themselves been cited), including 18 papers in Geometry and Topology, 11 papers in Algebra and Number Theory and 8 papers in Mathematical Physics. Recurrent topics in Helmut Koch's work include Algebraic Geometry and Number Theory (9 papers), History and Theory of Mathematics (8 papers) and Mathematics and Applications (8 papers). Helmut Koch is often cited by papers focused on Algebraic Geometry and Number Theory (9 papers), History and Theory of Mathematics (8 papers) and Mathematics and Applications (8 papers). Helmut Koch collaborates with scholars based in Germany, United States and Canada. Helmut Koch's co-authors include Thomas Zink, Michael Winter, Hans‐Peter Dorn, C. Plass‐Dülmer, Ehud de Shalit, Annette B. Kraus, T. Brauers, Horst Albach, Johannes Huinink and Herwig Birg and has published in prestigious journals such as Inventiones mathematicae, Journal of Algebra and Journal of Atmospheric Chemistry.

In The Last Decade

Helmut Koch

34 papers receiving 190 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Helmut Koch Germany 9 152 116 67 50 32 39 245
Ulf Persson Sweden 9 404 2.7× 221 1.9× 66 1.0× 44 0.9× 72 2.3× 17 450
N. J. Wildberger Australia 12 148 1.0× 134 1.2× 91 1.4× 59 1.2× 27 0.8× 42 256
Antonio F. Costa Spain 13 327 2.2× 245 2.1× 37 0.6× 111 2.2× 20 0.6× 75 442
Jonathan Pakianathan United States 8 76 0.5× 70 0.6× 22 0.3× 76 1.5× 18 0.6× 26 206
Basudeb Datta India 11 111 0.7× 56 0.5× 41 0.6× 153 3.1× 119 3.7× 35 265
Carles Casacuberta Spain 11 185 1.2× 185 1.6× 104 1.6× 36 0.7× 34 1.1× 36 285
Mark Losik Russia 9 141 0.9× 150 1.3× 69 1.0× 31 0.6× 52 1.6× 28 262
Grant Walker United Kingdom 9 165 1.1× 165 1.4× 64 1.0× 64 1.3× 16 0.5× 25 233
Robert D. M. Accola United States 13 427 2.8× 254 2.2× 64 1.0× 88 1.8× 80 2.5× 34 492
Jacob Towber United States 11 353 2.3× 214 1.8× 277 4.1× 54 1.1× 43 1.3× 23 419

Countries citing papers authored by Helmut Koch

Since Specialization
Citations

This map shows the geographic impact of Helmut Koch'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 Helmut Koch with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Helmut Koch more than expected).

Fields of papers citing papers by Helmut Koch

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Helmut Koch. 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 Helmut Koch. The network helps show where Helmut Koch may publish in the future.

Co-authorship network of co-authors of Helmut Koch

This figure shows the co-authorship network connecting the top 25 collaborators of Helmut Koch. A scholar is included among the top collaborators of Helmut Koch 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 Helmut Koch. Helmut Koch is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
2.
Winter, Michael & Helmut Koch. (2015). Low Power Plasma Facilities for the Investigation of Gas-Surface Interaction at the University of Kentucky. 53rd AIAA Aerospace Sciences Meeting. 2 indexed citations
3.
Koch, Helmut. (2005). Periodische Positionsbrüche und elementare Zahlentheorie. Elemente der Mathematik. 60(1). 1–9. 1 indexed citations
4.
Koch, Helmut. (2002). Einführung in die Mathematik. Springer-Lehrbuch. 2 indexed citations
5.
Koch, Helmut. (2000). Number Theory. Graduate studies in mathematics. 26 indexed citations
6.
Koch, Helmut. (1997). Zahlentheorie : algebraische Zahlen und Funktionen. 1 indexed citations
7.
Востоков, С. В., et al.. (1993). On P‐Extensions of Multidimensional Local Fields. Mathematische Nachrichten. 160(1). 59–68. 2 indexed citations
8.
Langlands, R. P. & Helmut Koch. (1993). Dualität bei endlichen Modellen der Perkolation. Mathematische Nachrichten. 160(1). 7–58. 1 indexed citations
9.
Koch, Helmut. (1990). Eisenstein Polynomial Sequences and Conjugacy Classes of Division Algebras over Local Fields. Mathematische Nachrichten. 147(1). 307–336. 2 indexed citations
10.
Koch, Helmut, et al.. (1987). Der Bevölkerungsrückgang in der Bundesrepublik Deutschland: langfristige Bevölkerungsvorausschätzungen auf der Grundlage des demographischen Kohortenmodells und der biographischen Theorie der Fertilität. PUB – Publications at Bielefeld University (Bielefeld University). 2 indexed citations
11.
Koch, Helmut. (1981). Zur Arithmetik in Divisionsalgebren über lokalen Körpern. Mathematische Nachrichten. 100(1). 9–19. 4 indexed citations
12.
Koch, Helmut. (1981). Eisensteinsche Polynomfolgen und Arithmetik in Divisionsalgebren über lokalen Körpern. Mathematische Nachrichten. 104(1). 229–251. 6 indexed citations
13.
Koch, Helmut, et al.. (1978). Galois cohomology of algebraic number fields. 39 indexed citations
14.
Koch, Helmut. (1975). Die Betriebswirtschaftslehre als Wissenschaft vom Handeln : die handlungstheoretische Konzeption der mikroökonomischen Analyse. Mohr eBooks. 1 indexed citations
15.
Koch, Helmut. (1969). Zum Satz von GOLOD‐SCHAFAREWITSCH. Mathematische Nachrichten. 42(4-6). 321–333. 22 indexed citations
16.
Koch, Helmut. (1967). Über die Galoissche Gruppe der algebraischen Abschließung eines Potenzreihenkörpers mit endlichem Konstantenkörper. Mathematische Nachrichten. 35(5-6). 323–327. 7 indexed citations
17.
Koch, Helmut. (1965). Über Galoissche Gruppen von p‐adischen Zahlkörpern. Mathematische Nachrichten. 29(1-2). 77–111. 9 indexed citations
18.
Koch, Helmut. (1964). Über den 2-Klassenkörperturm eines quadratischen Zahlkörpers. I.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1964(214-215). 201–206. 2 indexed citations
19.
Koch, Helmut. (1963). Über Darstellungsräume und die Struktur der multiplikativen Gruppe eines p‐adischen Zahlkörpers. Mathematische Nachrichten. 26(1-4). 67–100. 10 indexed citations
20.
Koch, Helmut & Horst Albach. (1962). Zur Theorie der Unternehmung : Festschrift zum 65. Geburtstag von Erich Gutenberg. 2 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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