Bill Jacob

807 total citations
34 papers, 452 citations indexed

About

Bill Jacob is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Bill Jacob has authored 34 papers receiving a total of 452 indexed citations (citations by other indexed papers that have themselves been cited), including 25 papers in Geometry and Topology, 15 papers in Mathematical Physics and 14 papers in Algebra and Number Theory. Recurrent topics in Bill Jacob's work include Algebraic Geometry and Number Theory (16 papers), Algebraic structures and combinatorial models (9 papers) and Advanced Topics in Algebra (7 papers). Bill Jacob is often cited by papers focused on Algebraic Geometry and Number Theory (16 papers), Algebraic structures and combinatorial models (9 papers) and Advanced Topics in Algebra (7 papers). Bill Jacob collaborates with scholars based in United States, Chile and Iceland. Bill Jacob's co-authors include Adrian R. Wadsworth, Richard Elman, Roger Ware, Jón Kr. Arason, Markus Rost, Yuko Okamoto, Mary E. Brenner, Alex Rosenberg, Eberhard Becker and Mónica Guzmán and has published in prestigious journals such as Transactions of the American Mathematical Society, Inventiones mathematicae and Pacific Journal of Mathematics.

In The Last Decade

Bill Jacob

33 papers receiving 390 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Bill Jacob United States	13	360	196	189	66	64	34	452
Winfried Scharlau Germany	12	251 0.7×	174 0.9×	134 0.7×	60 0.9×	40 0.6×	43	381
Edward T. Ordman United States	9	200 0.6×	147 0.8×	77 0.4×	27 0.4×	79 1.2×	28	251
William G. McCallum United States	9	154 0.4×	97 0.5×	38 0.2×	15 0.2×	40 0.6×	17	222
Greg Martin Canada	10	111 0.3×	67 0.3×	177 0.9×	82 1.2×	42 0.7×	42	259
Joyce O’Halloran United States	9	180 0.5×	90 0.5×	173 0.9×	54 0.8×	61 1.0×	19	250
Adil Yaqub United States	13	201 0.6×	68 0.3×	296 1.6×	41 0.6×	151 2.4×	79	482
Judith D. Sally United States	18	674 1.9×	63 0.3×	830 4.4×	38 0.6×	380 5.9×	40	923
Lee Klingler United States	9	129 0.4×	19 0.1×	166 0.9×	23 0.3×	31 0.5×	40	219
Juris Steprāns Canada	11	309 0.9×	199 1.0×	142 0.8×	36 0.5×	141 2.2×	70	373
John Ginsburg Canada	9	221 0.6×	134 0.7×	142 0.8×	40 0.6×	139 2.2×	36	321

Countries citing papers authored by Bill Jacob

Since Specialization

Citations

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

Fields of papers citing papers by Bill Jacob

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Bill Jacob

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

Jacob, Bill, et al.. (2018). The de Rham Witt complex, cohomological kernels and p-extensions in characteristic p. Journal of Pure and Applied Algebra. 222(12). 3891–3945. 1 indexed citations

Jacob, Bill, et al.. (2016). Cohomology and graded Witt group kernels for extensions of degree four in characteristic two. Journal of Algebra. 461. 314–350. 2 indexed citations

Jacob, Bill, et al.. (2012). The graded Witt group kernel of biquadratic extensions in characteristic two. Journal of Algebra. 370. 297–319. 3 indexed citations

Jacob, Bill, et al.. (2012). On profinite spaces of orderings. Journal of Pure and Applied Algebra. 216(12). 2608–2613. 1 indexed citations

Jacob, Bill, et al.. (2010). Measuring the Differences in Prospective Elementary Teachers’ and Secondary Teachers’ Early Pedagogical Content Knowledge Using Video Cases. Society for Information Technology & Teacher Education International Conference. 2010(1). 3456–3467. 1 indexed citations

Jacob, Bill, et al.. (2008). Relative Brauer groups in characteristic 𝑝. Proceedings of the American Mathematical Society. 137(4). 1265–1273. 2 indexed citations

Jacob, Bill & Alex Rosenberg. (1995). 𝐾-Theory and Algebraic Geometry: Connections with Quadratic Forms and Division Algebras. 1 indexed citations

Jacob, Bill & Alex Rosenberg. (1994). 𝐾-Theory and Algebraic Geometry: Connections with Quadratic Forms and Division Algebras. 12 indexed citations

Arason, Jón Kr., Richard Elman, & Bill Jacob. (1992). On indecomposable vector bundles. Communications in Algebra. 20(5). 1323–1351. 14 indexed citations

10.

Jacob, Bill. (1992). Quadratic forms over dyadic valued fields. II, relative rigidity and Galois cohomology. Journal of Algebra. 148(1). 162–202. 3 indexed citations

11.

Jacob, Bill & Adrian R. Wadsworth. (1990). Division algebras over Henselian fields. Journal of Algebra. 128(1). 126–179. 89 indexed citations

12.

Arason, Jón Kr., Richard Elman, & Bill Jacob. (1989). The Graded Witt Ring and Galois Cohomology. II. Transactions of the American Mathematical Society. 314(2). 745–745. 1 indexed citations

13.

Arason, Jón Kr., Richard Elman, & Bill Jacob. (1989). The graded Witt ring and Galois cohomology. II. Transactions of the American Mathematical Society. 314(2). 745–745. 14 indexed citations

14.

Arason, Jón Kr., Richard Elman, & Bill Jacob. (1989). On quadratic forms and Galois cohomology. Rocky Mountain Journal of Mathematics. 19(3). 3 indexed citations

15.

Arason, Jón Kr., Richard Elman, & Bill Jacob. (1987). Rigid elements, valuations, and realization of Witt rings. Journal of Algebra. 110(2). 449–467. 33 indexed citations

16.

Jacob, Bill & Adrian R. Wadsworth. (1986). A new construction of noncrossed product algebras. Transactions of the American Mathematical Society. 293(2). 693–721. 30 indexed citations

17.

Jacob, Bill & Adrian R. Wadsworth. (1986). A New Construction of Noncrossed Product Algebras. Transactions of the American Mathematical Society. 293(2). 693–693. 15 indexed citations

18.

Elman, Richard, et al.. (1986). Fields of cohomological 2-dimension three. Mathematische Annalen. 274(4). 649–657. 33 indexed citations

19.

Jacob, Bill. (1981). On the structure of Pythagorean fields. Journal of Algebra. 68(2). 247–267. 36 indexed citations

20.

Jacob, Bill. (1980). A nullstellensatz for ℝ((t)). Communications in Algebra. 8(11). 1083–1094. 4 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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