Lothar Gerritzen

576 total citations
43 papers, 329 citations indexed

About

Lothar Gerritzen is a scholar working on Geometry and Topology, Algebra and Number Theory and Mathematical Physics. According to data from OpenAlex, Lothar Gerritzen has authored 43 papers receiving a total of 329 indexed citations (citations by other indexed papers that have themselves been cited), including 27 papers in Geometry and Topology, 20 papers in Algebra and Number Theory and 15 papers in Mathematical Physics. Recurrent topics in Lothar Gerritzen's work include Advanced Topics in Algebra (16 papers), Algebraic Geometry and Number Theory (14 papers) and Advanced Algebra and Geometry (10 papers). Lothar Gerritzen is often cited by papers focused on Advanced Topics in Algebra (16 papers), Algebraic Geometry and Number Theory (14 papers) and Advanced Algebra and Geometry (10 papers). Lothar Gerritzen collaborates with scholars based in Germany, United States and Netherlands. Lothar Gerritzen's co-authors include Marius van der Put, Vladimir Shpilrain and P. M. Cohn and has published in prestigious journals such as Lecture notes in mathematics, Inventiones mathematicae and Mathematische Annalen.

In The Last Decade

Lothar Gerritzen

40 papers receiving 266 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Lothar Gerritzen Germany 9 273 191 126 68 35 43 329
J. B. Wagoner United States 13 289 1.1× 395 2.1× 149 1.2× 167 2.5× 42 1.2× 35 491
I. Luengo Spain 11 283 1.0× 168 0.9× 99 0.8× 68 1.0× 42 1.2× 45 330
Günther Trautmann Germany 11 279 1.0× 178 0.9× 99 0.8× 28 0.4× 51 1.5× 27 349
Shihoko Ishii Japan 11 349 1.3× 137 0.7× 147 1.2× 76 1.1× 51 1.5× 42 365
Anders Thorup Denmark 11 189 0.7× 76 0.4× 170 1.3× 77 1.1× 46 1.3× 27 297
N. I. Shepherd‐Barron United Kingdom 12 500 1.8× 273 1.4× 109 0.9× 71 1.0× 72 2.1× 25 529
Torsten Ekedahl Sweden 10 372 1.4× 241 1.3× 128 1.0× 81 1.2× 38 1.1× 24 439
Barbara Fantechi Italy 10 451 1.7× 318 1.7× 96 0.8× 54 0.8× 32 0.9× 21 483
R. Sridharan India 14 465 1.7× 238 1.2× 416 3.3× 91 1.3× 42 1.2× 57 590
Tommaso de Fernex United States 13 340 1.2× 126 0.7× 122 1.0× 72 1.1× 88 2.5× 30 358

Countries citing papers authored by Lothar Gerritzen

Since Specialization
Citations

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

Fields of papers citing papers by Lothar Gerritzen

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Lothar Gerritzen

This figure shows the co-authorship network connecting the top 25 collaborators of Lothar Gerritzen. A scholar is included among the top collaborators of Lothar Gerritzen 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 Lothar Gerritzen. Lothar Gerritzen 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.
Gerritzen, Lothar, et al.. (2006). Algebraic Methods in Cryptography. Contemporary mathematics - American Mathematical Society. 3 indexed citations
2.
Gerritzen, Lothar. (2005). Tree polynomials and non-associative Gröbner bases. Journal of Symbolic Computation. 41(3-4). 297–316. 4 indexed citations
3.
Gerritzen, Lothar. (2004). Planar rooted trees and non-associative exponential series. Advances in Applied Mathematics. 33(2). 342–365. 7 indexed citations
4.
Gerritzen, Lothar, et al.. (2003). Nonassociative exponential and logarithm. Journal of Algebra. 272(1). 311–320. 8 indexed citations
5.
Gerritzen, Lothar. (1999). Symplectic 2 × 2 matrices over free algebras. Indagationes Mathematicae. 10(4). 507–512. 1 indexed citations
6.
Gerritzen, Lothar, et al.. (1998). On Gröbner bases of noncommutative power series. Indagationes Mathematicae. 9(4). 503–519. 9 indexed citations
7.
Gerritzen, Lothar. (1998). On infinite Gröbner bases in free algebras. Indagationes Mathematicae. 9(4). 491–501. 1 indexed citations
8.
Gerritzen, Lothar. (1998). Taylor expansion of noncommutative polynomials. Archiv der Mathematik. 71(4). 279–290. 6 indexed citations
9.
Gerritzen, Lothar, et al.. (1997). On quantum general linear groups. Indagationes Mathematicae. 8(1). 43–54. 3 indexed citations
10.
Gerritzen, Lothar. (1992). On the algebra of totally degenerate theta functions. Indagationes Mathematicae. 3(4). 365–375. 7 indexed citations
11.
Gerritzen, Lothar. (1992). Equations defining the periods of totally degenerate curves. Israel Journal of Mathematics. 77(1-2). 187–210. 4 indexed citations
12.
Gerritzen, Lothar, et al.. (1992). The lowest term of the Schottky modular form. Mathematische Annalen. 292(1). 329–335. 4 indexed citations
13.
Gerritzen, Lothar, et al.. (1991). Degeneration of point configurations in the projective plane. Indagationes Mathematicae. 2(1). 39–56. 1 indexed citations
14.
Gerritzen, Lothar, et al.. (1988). Stable n-pointed trees of projective lines. Indagationes Mathematicae (Proceedings). 91(2). 131–163. 17 indexed citations
15.
Gerritzen, Lothar. (1982). $p$-adic Siegel halfspace. French digital mathematics library (Numdam). 9(3). 1–7. 1 indexed citations
16.
Gerritzen, Lothar. (1977). Zerlegungen der Picard-Gruppe nichtarchimedischer Holomorpher Räume. Compositio Mathematica. 35(1). 23–38. 8 indexed citations
17.
Gerritzen, Lothar. (1977). On automorphism groups of $p$-adic Schottky curves. French digital mathematics library (Numdam). 4. 1–6. 2 indexed citations
18.
Gerritzen, Lothar. (1977). Einp-adischer Beweis f�r die Irrationalit�t der Nullstellen von Besselfunktionen. Mathematische Annalen. 226(3). 253–255. 2 indexed citations
19.
Gerritzen, Lothar. (1974). Zur nichtarchimedischen Uniformisierung von Kurven. Mathematische Annalen. 210(4). 321–337. 5 indexed citations
20.
Gerritzen, Lothar. (1972). On non-archimedean representations of abelian varieties. Mathematische Annalen. 196(4). 323–346. 26 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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