William F. Keigher

821 total citations
21 papers, 453 citations indexed

About

William F. Keigher is a scholar working on Algebra and Number Theory, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, William F. Keigher has authored 21 papers receiving a total of 453 indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Algebra and Number Theory, 15 papers in Geometry and Topology and 11 papers in Computational Theory and Mathematics. Recurrent topics in William F. Keigher's work include Advanced Topics in Algebra (14 papers), Algebraic structures and combinatorial models (12 papers) and Polynomial and algebraic computation (6 papers). William F. Keigher is often cited by papers focused on Advanced Topics in Algebra (14 papers), Algebraic structures and combinatorial models (12 papers) and Polynomial and algebraic computation (6 papers). William F. Keigher collaborates with scholars based in United States, China and Netherlands. William F. Keigher's co-authors include Li Guo, Ken Ono, Shilong Zhang, Markus Rosenkranz and Xing Gao and has published in prestigious journals such as Transactions of the American Mathematical Society, Advances in Mathematics and Pacific Journal of Mathematics.

In The Last Decade

William F. Keigher

18 papers receiving 390 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
William F. Keigher United States 8 403 358 133 92 58 21 453
Alexander A. Mikhalev Russia 12 753 1.9× 686 1.9× 134 1.0× 131 1.4× 114 2.0× 19 802
Jeffrey Bergen United States 11 524 1.3× 470 1.3× 53 0.4× 102 1.1× 74 1.3× 61 544
Agata Smoktunowicz United Kingdom 11 583 1.4× 501 1.4× 89 0.7× 108 1.2× 84 1.4× 53 660
James Kuzmanovich United States 13 358 0.9× 343 1.0× 57 0.4× 119 1.3× 26 0.4× 42 428
Roger Wiegand United States 15 592 1.5× 507 1.4× 136 1.0× 101 1.1× 50 0.9× 57 727
С. П. Мищенко Russia 13 540 1.3× 512 1.4× 186 1.4× 91 1.0× 63 1.1× 59 554
Wai-Shun Cheung United States 7 340 0.8× 287 0.8× 127 1.0× 96 1.0× 45 0.8× 16 375
Chen-Lian Chuang Taiwan 15 977 2.4× 946 2.6× 126 0.9× 130 1.4× 130 2.2× 62 1.0k
Christian Peskine France 6 660 1.6× 766 2.1× 305 2.3× 143 1.6× 68 1.2× 12 865
Gorô Azumaya United States 10 417 1.0× 280 0.8× 84 0.6× 68 0.7× 35 0.6× 17 490

Countries citing papers authored by William F. Keigher

Since Specialization
Citations

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

Fields of papers citing papers by William F. Keigher

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by William F. Keigher. 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 William F. Keigher. The network helps show where William F. Keigher may publish in the future.

Co-authorship network of co-authors of William F. Keigher

This figure shows the co-authorship network connecting the top 25 collaborators of William F. Keigher. A scholar is included among the top collaborators of William F. Keigher 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 William F. Keigher. William F. Keigher 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.
Zhang, Shilong, Li Guo, & William F. Keigher. (2019). Classification of operator extensions, monad liftings and distributive laws for differential algebras and Rota–Baxter algebras. Journal of Algebra and Its Applications. 19(9). 2050172–2050172. 1 indexed citations
2.
Zhang, Shilong, Li Guo, & William F. Keigher. (2018). Extensions of Operators, Liftings of Monads, and Distributive Laws. Applied Categorical Structures. 26(4). 747–765. 2 indexed citations
3.
Gao, Xing, William F. Keigher, & Markus Rosenkranz. (2017). Divided powers and composition in integro-differential algebras. Journal of Pure and Applied Algebra. 221(10). 2525–2556.
4.
Zhang, Shilong, Li Guo, & William F. Keigher. (2015). Monads and distributive laws for Rota–Baxter and differential algebras. Advances in Applied Mathematics. 72. 139–165. 8 indexed citations
5.
Keigher, William F., et al.. (2012). Automorphisms of Hurwitz series. Homology Homotopy and Applications. 14(2). 91–99. 2 indexed citations
6.
Keigher, William F., et al.. (2008). ON PARTITIONED DIFFERENTIAL QUASIFIELDS. Journal of Algebra and Its Applications. 7(4). 425–441.
7.
Guo, Li & William F. Keigher. (2007). On differential Rota–Baxter algebras. Journal of Pure and Applied Algebra. 212(3). 522–540. 76 indexed citations
8.
Guo, Li, et al.. (2003). Baxter algebras and Hopf algebras. Transactions of the American Mathematical Society. 355(11). 4639–4656. 33 indexed citations
9.
Guo, Li & William F. Keigher. (2000). On Free Baxter Algebras: Completions and the Internal Construction. Advances in Mathematics. 151(1). 101–127. 50 indexed citations
10.
Keigher, William F., et al.. (2000). Hurwitz series as formal functions. Journal of Pure and Applied Algebra. 146(3). 291–304. 28 indexed citations
11.
Guo, Li & William F. Keigher. (2000). Baxter Algebras and Shuffle Products. Advances in Mathematics. 150(1). 117–149. 118 indexed citations
12.
Keigher, William F.. (1997). On the ring of hurwitz series. Communications in Algebra. 25(6). 1845–1859. 52 indexed citations
13.
Keigher, William F.. (1983). On the structure presheaf of a differential ring. Journal of Pure and Applied Algebra. 27(2). 163–172. 4 indexed citations
14.
Keigher, William F.. (1982). Differential rings constructed from quasi-prime ideals. Journal of Pure and Applied Algebra. 26(2). 191–201. 6 indexed citations
15.
Keigher, William F.. (1982). Differential schemes and premodels of differential fields. Journal of Algebra. 79(1). 37–50. 4 indexed citations
16.
Keigher, William F.. (1981). Differential algebra in a topos. French digital mathematics library (Numdam). 22(1). 45–51. 1 indexed citations
17.
Keigher, William F.. (1981). On the quasi-affine scheme of a differential ring. Advances in Mathematics. 42(2). 143–153. 6 indexed citations
18.
Keigher, William F.. (1979). Symmetric monoidal comonads and differential algebra. Communications in Algebra. 7(2). 139–162. 3 indexed citations
19.
Keigher, William F.. (1978). Symmetric monoidal closed categories generated by commutative adjoint monads. French digital mathematics library (Numdam). 4 indexed citations
20.
Keigher, William F.. (1975). Adjunctions and comonads in differential algebra. Pacific Journal of Mathematics. 59(1). 99–112. 53 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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