Gene Freudenburg

786 total citations
27 papers, 283 citations indexed

About

Gene Freudenburg is a scholar working on Geometry and Topology, Algebra and Number Theory and Computational Theory and Mathematics. According to data from OpenAlex, Gene Freudenburg has authored 27 papers receiving a total of 283 indexed citations (citations by other indexed papers that have themselves been cited), including 27 papers in Geometry and Topology, 21 papers in Algebra and Number Theory and 4 papers in Computational Theory and Mathematics. Recurrent topics in Gene Freudenburg's work include Advanced Differential Equations and Dynamical Systems (23 papers), Advanced Topics in Algebra (20 papers) and Algebraic Geometry and Number Theory (8 papers). Gene Freudenburg is often cited by papers focused on Advanced Differential Equations and Dynamical Systems (23 papers), Advanced Topics in Algebra (20 papers) and Algebraic Geometry and Number Theory (8 papers). Gene Freudenburg collaborates with scholars based in United States, Canada and France. Gene Freudenburg's co-authors include Daniel Daigle and Shigeru Kuroda and has published in prestigious journals such as Proceedings of the American Mathematical Society, Journal of Algebra and Mathematische Zeitschrift.

In The Last Decade

Gene Freudenburg

26 papers receiving 258 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Gene Freudenburg United States	10	266	153	57	56	43	27	283
Daniel Daigle Canada	10	222 0.8×	119 0.8×	43 0.8×	43 0.8×	39 0.9×	37	240
Tommaso de Fernex United States	13	340 1.3×	122 0.8×	72 1.3×	126 2.3×	88 2.0×	30	358
Shihoko Ishii Japan	11	349 1.3×	147 1.0×	76 1.3×	137 2.4×	51 1.2×	42	365
Shavkat Ayupov Uzbekistan	11	213 0.8×	253 1.7×	24 0.4×	134 2.4×	30 0.7×	35	287
Yusupdjan Khakimdjanov France	6	180 0.7×	183 1.2×	13 0.2×	105 1.9×	29 0.7×	6	229
J. Kramer Germany	7	209 0.8×	102 0.7×	29 0.5×	179 3.2×	43 1.0×	16	254
Shulim Kaliman United States	12	303 1.1×	58 0.4×	50 0.9×	115 2.1×	83 1.9×	37	316
M. C. Crabb United Kingdom	9	173 0.7×	127 0.8×	20 0.4×	214 3.8×	46 1.1×	53	296
Viktor Abramov Estonia	8	129 0.5×	171 1.1×	14 0.2×	57 1.0×	40 0.9×	25	191
Tomasz Szemberg Poland	11	331 1.2×	181 1.2×	137 2.4×	112 2.0×	66 1.5×	64	367

Countries citing papers authored by Gene Freudenburg

Since Specialization

Citations

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

Fields of papers citing papers by Gene Freudenburg

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Gene Freudenburg

This figure shows the co-authorship network connecting the top 25 collaborators of Gene Freudenburg. A scholar is included among the top collaborators of Gene Freudenburg 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 Gene Freudenburg. Gene Freudenburg 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

Daigle, Daniel, et al.. (2021). Generalizations of Samuel's criteria for a ring to be a unique factorization domain. Journal of Algebra. 594. 271–306.

Freudenburg, Gene, et al.. (2020). Smooth rational affine varieties with infinitely many real forms. Journal für die reine und angewandte Mathematik (Crelles Journal). 2021(771). 215–226. 3 indexed citations

Daigle, Daniel, et al.. (2019). Locally nilpotent derivations of rings graded by an abelian group. Advanced studies in pure mathematics. 29–48. 2 indexed citations

Freudenburg, Gene. (2018). CANONICAL FACTORIZATION OF THE QUOTIENT MORPHISM FOR AN AFFINE G $$ \mathbb{G} $$ a-VARIETY. Transformation Groups. 24(2). 355–377. 3 indexed citations

Freudenburg, Gene. (2013). Foundations of invariant theory for the down operator. Journal of Symbolic Computation. 57. 19–47. 1 indexed citations

Freudenburg, Gene. (2008). Derivations of R[X,Y,Z] with a slice. Journal of Algebra. 322(9). 3078–3087. 6 indexed citations

Freudenburg, Gene. (2006). A linear counterexample to the Fourteenth Problem of Hilbert in dimension eleven. Proceedings of the American Mathematical Society. 135(1). 51–57. 1 indexed citations

Freudenburg, Gene, et al.. (2003). Embeddings of Danielewski surfaces. Mathematische Zeitschrift. 245(4). 823–834. 9 indexed citations

Freudenburg, Gene, et al.. (2002). A nonlinearizable action of S 3 on ℂ 4 . Annales de l’institut Fourier. 52(1). 133–143. 1 indexed citations

10.

Freudenburg, Gene & Daniel Daigle. (2001). A note on triangular derivations of k[X~1,X~2,X~3,X~4]. Proceedings of the American Mathematical Society. 129(3). 657–662. 5 indexed citations

11.

Freudenburg, Gene. (2001). A Survey of Counterexamples to Hilbert's Fourteenth Problem. Bulgarian Digital Mathematics Library (BulDML) at IMI-BAS (Institute of Mathematics and Informatics). 27(3). 171–192. 3 indexed citations

12.

Daigle, Daniel & Gene Freudenburg. (2001). Triangular Derivations of k[X1,X2,X3,X4]. Journal of Algebra. 241(1). 328–339. 12 indexed citations

13.

Daigle, Daniel & Gene Freudenburg. (2000). A note on triangular derivations of 𝐤[𝐗₁,𝐗₂,𝐗₃,𝐗₄]. Proceedings of the American Mathematical Society. 129(3). 657–662. 5 indexed citations

14.

Daigle, Daniel & Gene Freudenburg. (1999). A Counterexample to Hilbert's Fourteenth Problem in Dimension 5. Journal of Algebra. 221(2). 528–535. 43 indexed citations

15.

Freudenburg, Gene. (1998). Actions of Ga on A3 defined by homogeneous derivations. Journal of Pure and Applied Algebra. 126(1-3). 169–181. 9 indexed citations

16.

Daigle, Daniel & Gene Freudenburg. (1998). Locally Nilpotent Derivations over a UFD and an Application to Rank Two Locally Nilpotent Derivations ofk[X1,…,X]. Journal of Algebra. 204(2). 353–371. 31 indexed citations

17.

Freudenburg, Gene. (1997). Local slice constructions in $k[X,Y,Z]$. Osaka Journal of Mathematics. 34(4). 757–767. 7 indexed citations

18.

Freudenburg, Gene. (1996). A note on the kernel of a locally nilpotent derivation. Proceedings of the American Mathematical Society. 124(1). 27–29. 10 indexed citations

19.

Freudenburg, Gene. (1995). Triangulability criteria for additive group actions on affine space. Journal of Pure and Applied Algebra. 105(3). 267–275. 10 indexed citations

20.

Freudenburg, Gene. (1995). Three-dimensional analogues of the nagata surfaces. Communications in Algebra. 23(1). 139–164. 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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