Michael E. Zieve

911 total citations
36 papers, 349 citations indexed

About

Michael E. Zieve is a scholar working on Artificial Intelligence, Geometry and Topology and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Michael E. Zieve has authored 36 papers receiving a total of 349 indexed citations (citations by other indexed papers that have themselves been cited), including 26 papers in Artificial Intelligence, 20 papers in Geometry and Topology and 15 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Michael E. Zieve's work include Coding theory and cryptography (26 papers), Algebraic Geometry and Number Theory (16 papers) and Finite Group Theory Research (11 papers). Michael E. Zieve is often cited by papers focused on Coding theory and cryptography (26 papers), Algebraic Geometry and Number Theory (16 papers) and Finite Group Theory Research (11 papers). Michael E. Zieve collaborates with scholars based in United States, China and Canada. Michael E. Zieve's co-authors include Robert M. Guralnick, Manjul Bhargava, Andrew Kresch, Thomas J. Tucker, Dragos Ghioca, Stephen D. Cohen, Shreeram S. Abhyankar, Bjorn Poonen, Everett W. Howe and Noam D. Elkies and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and American Mathematical Monthly.

In The Last Decade

Michael E. Zieve

31 papers receiving 329 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Michael E. Zieve United States	11	278	174	113	103	81	36	349
Amir Akbary Canada	9	246 0.9×	175 1.0×	88 0.8×	74 0.7×	49 0.6×	31	333
Gilles Lachaud France	10	335 1.2×	160 0.9×	102 0.9×	107 1.0×	92 1.1×	29	407
Maosheng Xiong Hong Kong	14	467 1.7×	298 1.7×	102 0.9×	60 0.6×	141 1.7×	56	551
Robert S. Coulter United States	12	572 2.1×	399 2.3×	192 1.7×	89 0.9×	110 1.4×	37	594
Marcel van der Vlugt Netherlands	14	412 1.5×	180 1.0×	134 1.2×	180 1.7×	114 1.4×	32	508
Gohar Kyureghyan Germany	11	466 1.7×	357 2.1×	116 1.0×	31 0.3×	96 1.2×	32	480
Rex W. Matthews Australia	8	282 1.0×	193 1.1×	110 1.0×	48 0.5×	61 0.8×	16	308
Shuqin Fan China	11	280 1.0×	96 0.6×	63 0.6×	40 0.4×	55 0.7×	26	313
Gretchen L. Matthews United States	10	200 0.7×	49 0.3×	83 0.7×	68 0.7×	106 1.3×	46	298
Daniele Bartoli Italy	14	579 2.1×	340 2.0×	326 2.9×	75 0.7×	85 1.0×	102	638

Countries citing papers authored by Michael E. Zieve

Since Specialization

Citations

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

Fields of papers citing papers by Michael E. Zieve

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Michael E. Zieve. 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 Michael E. Zieve. The network helps show where Michael E. Zieve may publish in the future.

Co-authorship network of co-authors of Michael E. Zieve

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

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Zieve, Michael E., et al.. (2024). On a class of m-to-1 functions. Discrete Applied Mathematics. 353. 208–210. 1 indexed citations

Zieve, Michael E., et al.. (2024). Two classes of exceptional m-to-1 rational functions. Designs Codes and Cryptography. 92(12). 4279–4285.

Zieve, Michael E., et al.. (2023). Roots of certain polynomials over finite fields. Journal of Number Theory. 252. 157–176. 2 indexed citations

Zieve, Michael E., et al.. (2023). On a class of permutation quadrinomials. Journal of Algebra and Its Applications. 24(3). 2 indexed citations

Zieve, Michael E., et al.. (2023). Determination of a class of permutation quadrinomials. Proceedings of the London Mathematical Society. 127(2). 221–260. 10 indexed citations

Zieve, Michael E., et al.. (2022). Low-degree permutation rational functions over finite fields. Acta Arithmetica. 202(3). 253–280. 8 indexed citations

Zieve, Michael E., et al.. (2013). Planar monomials in characteristic 2. arXiv (Cornell University). 4 indexed citations

Zieve, Michael E.. (2013). A class of permutation trinomials related to Redei functions. arXiv (Cornell University). 1 indexed citations

Weiss, Benjamin, et al.. (2012). Chebyshev Mappings of Finite Fields. American Mathematical Monthly. 119(2). 151–151. 5 indexed citations

10.

Zieve, Michael E., et al.. (2010). On hyperbolic fixed points in ultrametric dynamics. P-Adic Numbers Ultrametric Analysis and Applications. 2(3). 232–240. 1 indexed citations

11.

Zieve, Michael E., et al.. (2010). TWO QUESTIONS ON POLYNOMIAL DECOMPOSITION. The Quarterly Journal of Mathematics. 63(2). 507–511. 1 indexed citations

12.

Zieve, Michael E., et al.. (2009). Permutation binomials over finite fields. Transactions of the American Mathematical Society. 361(8). 4169–4180. 29 indexed citations

13.

Goldstein, Daniel, Robert M. Guralnick, Everett W. Howe, & Michael E. Zieve. (2008). Nonisomorphic curves that become isomorphic over extensions of coprime degrees. Journal of Algebra. 320(6). 2526–2558.

14.

Zieve, Michael E., et al.. (2007). Rational functions with linear relations. Proceedings of the American Mathematical Society. 136(4). 1403–1408. 1 indexed citations

15.

Elkies, Noam D., et al.. (2004). Curves of every genus with many points. II. Asymptotically good families. Digital Access to Scholarship at Harvard (DASH) (Harvard University). 15 indexed citations

16.

Kresch, Andrew, et al.. (2002). Curves of Every Genus with Many Points, I: Abelian and Toric Families. Journal of Algebra. 250(1). 353–370. 11 indexed citations

17.

Cohen, Stephen D., Harald Niederreiter, Igor E. Shparlinski, & Michael E. Zieve. (2001). Incomplete character sums and a special class of permutations. Journal de Théorie des Nombres de Bordeaux. 13(1). 53–63. 5 indexed citations

18.

Bhargava, Manjul & Michael E. Zieve. (1999). Factoring Dickson Polynomials over Finite Fields. Finite Fields and Their Applications. 5(2). 103–111. 19 indexed citations

19.

Zieve, Michael E.. (1998). Bivariate Factorizations via Galois Theory, with Application to Exceptional Polynomials. Journal of Algebra. 210(2). 670–689. 4 indexed citations

20.

Zieve, Michael E.. (1998). A Note on the Discriminator. Journal of Number Theory. 73(1). 122–138. 1 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.

Explore authors with similar magnitude of impact