Manfred Knebusch

2.1k total citations
69 papers, 1.1k citations indexed

About

Manfred Knebusch is a scholar working on Geometry and Topology, Algebra and Number Theory and Computational Theory and Mathematics. According to data from OpenAlex, Manfred Knebusch has authored 69 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 36 papers in Geometry and Topology, 33 papers in Algebra and Number Theory and 24 papers in Computational Theory and Mathematics. Recurrent topics in Manfred Knebusch's work include Advanced Topics in Algebra (21 papers), Algebraic Geometry and Number Theory (20 papers) and Polynomial and algebraic computation (15 papers). Manfred Knebusch is often cited by papers focused on Advanced Topics in Algebra (21 papers), Algebraic Geometry and Number Theory (20 papers) and Polynomial and algebraic computation (15 papers). Manfred Knebusch collaborates with scholars based in Germany, Israel and United Kingdom. Manfred Knebusch's co-authors include Hans Delfs, Alex Rosenberg, Roger Ware, Claus Scheiderer, Winfried Scharlau, Tobias Kaiser, Louis Rowen, Zur Izhakian, Ricardo Baeza and G. Harder and has published in prestigious journals such as Lecture notes in mathematics, Inventiones mathematicae and Pacific Journal of Mathematics.

In The Last Decade

Manfred Knebusch

64 papers receiving 874 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Manfred Knebusch Germany	19	808	545	410	281	129	69	1.1k
Murray Marshall Canada	15	457 0.6×	334 0.6×	210 0.5×	260 0.9×	106 0.8×	59	761
J. S. Hsia United States	13	295 0.4×	265 0.5×	276 0.7×	104 0.4×	110 0.9×	49	571
Fred Galvin United States	14	492 0.6×	152 0.3×	241 0.6×	487 1.7×	226 1.8×	56	806
Paul Monsky United States	15	622 0.8×	385 0.7×	357 0.9×	150 0.5×	82 0.6×	51	761
J. H. E. Cohn United Kingdom	14	254 0.3×	193 0.4×	142 0.3×	105 0.4×	117 0.9×	48	595
Artūras Dubickas Lithuania	12	248 0.3×	332 0.6×	249 0.6×	248 0.9×	110 0.9×	171	643
Alexei N. Skorobogatov United Kingdom	17	854 1.1×	280 0.5×	576 1.4×	200 0.7×	120 0.9×	61	951
Jan‐Hendrik Evertse Netherlands	16	587 0.7×	398 0.7×	283 0.7×	256 0.9×	151 1.2×	56	839
Louis J. Ratliff United States	21	858 1.1×	1.3k 2.4×	119 0.3×	577 2.1×	44 0.3×	125	1.5k
Hans Peter Schlickewei Germany	14	383 0.5×	272 0.5×	218 0.5×	179 0.6×	127 1.0×	44	604

Countries citing papers authored by Manfred Knebusch

Since Specialization

Citations

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

Fields of papers citing papers by Manfred Knebusch

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Manfred Knebusch

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

All Works

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20 of 20 papers shown

Izhakian, Zur & Manfred Knebusch. (2024). Supertropical Monoids III: Factorization and splitting covers. Journal of Algebra and Its Applications. 25(5).

Rowen, Louis, Zur Izhakian, & Manfred Knebusch. (2016). Quadratic and symmetric bilinear forms on modules with unique base over a semiring. Documenta Mathematica. 21. 773–808. 3 indexed citations

Knebusch, Manfred, et al.. (2005). Convexity, valuations and Prüfer extensions in real algebra. Documenta Mathematica. 10. 1–109. 8 indexed citations

Knebusch, Manfred, et al.. (2002). A new chapter in commutative algebra. Springer eBooks. 1 indexed citations

Knebusch, Manfred, et al.. (2002). Manis Valuations and Prüfer Extensions I. Lecture notes in mathematics. 31 indexed citations

Knebusch, Manfred, et al.. (1996). Manis valuations and relative Prüfer rings I. University of Regensburg Publication Server (University of Regensburg). 1 indexed citations

Knebusch, Manfred, et al.. (1996). Manis valuations and Prüfer extensions. I. Documenta Mathematica. 1. 149–198. 1 indexed citations

Knebusch, Manfred. (1989). Weakly Semialgebraic Spaces. Lecture notes in mathematics. 11 indexed citations

Knebusch, Manfred & Claus Scheiderer. (1989). Einführung in die reelle Algebra. 55 indexed citations

10.

Knebusch, Manfred. (1982). An algebraic proof of the Borsuk-Ulam theorem for polynomial mappings. Proceedings of the American Mathematical Society. 84(1). 29–32. 5 indexed citations

11.

Knebusch, Manfred. (1981). On the local theory of signatures and reduced quadratic forms. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. 51(1). 149–195. 19 indexed citations

12.

Knebusch, Manfred. (1977). Generic Splitting of Quadratic Forms, II. Proceedings of the London Mathematical Society. s3-34(1). 1–31. 53 indexed citations

13.

Knebusch, Manfred. (1976). Generic Splitting of Quadratic Forms, I. Proceedings of the London Mathematical Society. s3-33(1). 65–93. 105 indexed citations

14.

Knebusch, Manfred. (1976). On algebraic curves over real closed fields. II. Mathematische Zeitschrift. 151(2). 189–205. 39 indexed citations

15.

Knebusch, Manfred. (1975). Generalization of a theorem of Artin-Pfister to arbitrary semilocal rings, and related topics. Journal of Algebra. 36(1). 46–67. 10 indexed citations

16.

Knebusch, Manfred, Alex Rosenberg, & Roger Ware. (1973). Signatures on semilocal rings. Journal of Algebra. 26(2). 208–250. 49 indexed citations

17.

Knebusch, Manfred. (1972). On the uniqueness of real closures and the existence of real places. Commentarii Mathematici Helvetici. 47(1). 260–269. 12 indexed citations

18.

Knebusch, Manfred & Winfried Scharlau. (1971). Über das Verhalten der Witt-Gruppe bei galoischen Körpererweiterungen. Mathematische Annalen. 193(3). 189–196. 8 indexed citations

19.

Knebusch, Manfred. (1970). Grothendieck- und Wittringe von nichtausgearteten symmetrischen Bilinearformen. 68 indexed citations

20.

Knebusch, Manfred. (1967). Elementarteilertheorie über Maximalordnungen. University of Regensburg Publication Server (University of Regensburg). 3 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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