Cornélius Greither

1.2k total citations
62 papers, 691 citations indexed

About

Cornélius Greither is a scholar working on Geometry and Topology, Algebra and Number Theory and Mathematical Physics. According to data from OpenAlex, Cornélius Greither has authored 62 papers receiving a total of 691 indexed citations (citations by other indexed papers that have themselves been cited), including 54 papers in Geometry and Topology, 29 papers in Algebra and Number Theory and 22 papers in Mathematical Physics. Recurrent topics in Cornélius Greither's work include Algebraic Geometry and Number Theory (45 papers), Algebraic structures and combinatorial models (17 papers) and Advanced Algebra and Geometry (14 papers). Cornélius Greither is often cited by papers focused on Algebraic Geometry and Number Theory (45 papers), Algebraic structures and combinatorial models (17 papers) and Advanced Algebra and Geometry (14 papers). Cornélius Greither collaborates with scholars based in Germany, United States and Czechia. Cornélius Greither's co-authors include Bodo Pareigis, David Burns, Cristian D. Popescu, Masato Kurihara, Karl Rubin, David K. Harrison, Masato Kurihara, Nigel P. Byott, Lindsay N. Childs and Rick Miranda and has published in prestigious journals such as Mathematics of Computation, Lecture notes in mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Cornélius Greither

56 papers receiving 592 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Cornélius Greither Germany 14 624 374 316 106 67 62 691
Ernst-Ulrich Gekeler Germany 16 617 1.0× 508 1.4× 301 1.0× 81 0.8× 84 1.3× 50 712
David E. Rohrlich United States 14 525 0.8× 421 1.1× 355 1.1× 71 0.7× 34 0.5× 32 586
Kay Wingberg Germany 8 557 0.9× 416 1.1× 177 0.6× 89 0.8× 38 0.6× 27 591
W. Sinnott United States 9 370 0.6× 230 0.6× 181 0.6× 59 0.6× 41 0.6× 14 432
Ralph Greenberg United States 18 984 1.6× 749 2.0× 549 1.7× 117 1.1× 41 0.6× 37 1.1k
Georges Gras France 11 397 0.6× 159 0.4× 194 0.6× 89 0.8× 78 1.2× 55 449
Tonghai Yang United States 15 512 0.8× 540 1.4× 366 1.2× 86 0.8× 58 0.9× 53 617
N. Saradha India 11 378 0.6× 191 0.5× 425 1.3× 122 1.2× 42 0.6× 63 554
Henri Darmon Canada 21 1.3k 2.0× 1.1k 2.9× 698 2.2× 153 1.4× 50 0.7× 73 1.4k
Thomas Zink Germany 12 621 1.0× 529 1.4× 148 0.5× 102 1.0× 33 0.5× 33 670

Countries citing papers authored by Cornélius Greither

Since Specialization
Citations

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

Fields of papers citing papers by Cornélius Greither

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Cornélius Greither

This figure shows the co-authorship network connecting the top 25 collaborators of Cornélius Greither. A scholar is included among the top collaborators of Cornélius Greither 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 Cornélius Greither. Cornélius Greither 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.
Greither, Cornélius, et al.. (2023). Fitting ideals and various notions of equivalence for modules. manuscripta mathematica. 173(1-2). 259–291. 1 indexed citations
2.
Childs, Lindsay N., et al.. (2021). Hopf Algebras and Galois Module Theory. Mathematical surveys and monographs. 9 indexed citations
3.
Greither, Cornélius & Cristian D. Popescu. (2018). Abstract $\ell$-Adic 1-Motives and Tate's Canonical Class for Number Fields. Documenta Mathematica. 23. 839–870. 2 indexed citations
4.
Greither, Cornélius & Cristian D. Popescu. (2015). An Equivariant Main Conjecture in Iwasawa theory and applications. Journal of Algebraic Geometry. 24(4). 629–692. 22 indexed citations
5.
Greither, Cornélius, et al.. (2014). Linear forms on Sinnott's module. Journal of Number Theory. 141. 324–342. 4 indexed citations
6.
Greither, Cornélius. (2013). Tate sequences and lower bounds for ranks of class groups. Acta Arithmetica. 160(1). 55–66. 1 indexed citations
7.
Greither, Cornélius & Cristian D. Popescu. (2012). Fitting ideals of ℓ-adic realizations of Picard 1-motives and class groups of global function fields. Journal für die reine und angewandte Mathematik (Crelles Journal). 2013(675). 3 indexed citations
8.
Greither, Cornélius. (2000). Galois-Cohen-Lenstra heuristics. Czech digital mathematics library. 8(1). 33–43. 1 indexed citations
9.
Greither, Cornélius, et al.. (1999). Swan Modules and Hilbert–Speiser Number Fields. Journal of Number Theory. 79(1). 164–173. 27 indexed citations
10.
Greither, Cornélius, et al.. (1998). Fitting Ideals of Class Groups of Real Fields with Prime Power Conductor. Journal of Number Theory. 73(2). 459–471. 42 indexed citations
11.
Greither, Cornélius. (1995). Constructing Monogenic Hopf Algebras over p-adic Rings of Integers. Journal of Algebra. 174(3). 794–800. 3 indexed citations
12.
Greither, Cornélius. (1993). Über relativ-lnvariante Kreiseinheiten und Stickelberger-Elemente. manuscripta mathematica. 80(1). 27–43. 8 indexed citations
13.
Greither, Cornélius. (1991). Cyclic Galois extensions and normal bases. Transactions of the American Mathematical Society. 326(1). 307–343. 4 indexed citations
14.
Greither, Cornélius. (1990). Relative integral normal bases in Q(ζp). Journal of Number Theory. 35(2). 180–193. 3 indexed citations
15.
Greither, Cornélius & Rick Miranda. (1989). Galois extensions of prime degree. Journal of Algebra. 124(2). 354–366. 3 indexed citations
16.
Greither, Cornélius & Bodo Pareigis. (1987). Hopf Galois theory for separable field extensions. Journal of Algebra. 106(1). 239–258. 88 indexed citations
17.
Greither, Cornélius & David K. Harrison. (1986). A galois correspondence for radical extensions of fields. Journal of Pure and Applied Algebra. 43(3). 257–270. 9 indexed citations
18.
Greither, Cornélius. (1982). Serre's problem for one-dimensional ground rings. Journal of Algebra. 75(1). 290–295. 3 indexed citations
19.
Greither, Cornélius. (1982). On the two generator problem for the ideals of a one-dimensional ring. Journal of Pure and Applied Algebra. 24(3). 265–276. 19 indexed citations
20.
Greither, Cornélius. (1981). Seminormality, projective algebras, and invertible algebras. Journal of Algebra. 70(2). 316–338. 7 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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