James Ax

1.8k total citations
19 papers, 874 citations indexed

About

James Ax is a scholar working on Geometry and Topology, Algebra and Number Theory and Mathematical Physics. According to data from OpenAlex, James Ax has authored 19 papers receiving a total of 874 indexed citations (citations by other indexed papers that have themselves been cited), including 12 papers in Geometry and Topology, 9 papers in Algebra and Number Theory and 5 papers in Mathematical Physics. Recurrent topics in James Ax's work include Algebraic Geometry and Number Theory (10 papers), Polynomial and algebraic computation (4 papers) and Advanced Topics in Algebra (4 papers). James Ax is often cited by papers focused on Algebraic Geometry and Number Theory (10 papers), Polynomial and algebraic computation (4 papers) and Advanced Topics in Algebra (4 papers). James Ax collaborates with scholars based in United States. James Ax's co-authors include Simon Kochen and has published in prestigious journals such as Annals of Mathematics, Pacific Journal of Mathematics and American Journal of Mathematics.

In The Last Decade

James Ax

18 papers receiving 695 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
James Ax United States	13	613	328	308	279	157	19	874
Helmut Hasse Germany	15	691 1.1×	186 0.6×	317 1.0×	430 1.5×	217 1.4×	54	1.1k
Leonard Lipshitz United States	16	409 0.7×	367 1.1×	242 0.8×	230 0.8×	107 0.7×	38	726
Michael Rosen United States	13	709 1.2×	147 0.4×	312 1.0×	445 1.6×	298 1.9×	47	966
Carl Riehm Canada	11	389 0.6×	135 0.4×	283 0.9×	245 0.9×	104 0.7×	29	665
Władysław Narkiewicz Poland	14	702 1.1×	254 0.8×	322 1.0×	639 2.3×	231 1.5×	74	1.2k
A. J. van der Poorten Australia	15	238 0.4×	259 0.8×	235 0.8×	231 0.8×	129 0.8×	73	680
K. Mahler Australia	14	324 0.5×	240 0.7×	271 0.9×	257 0.9×	70 0.4×	37	743
David Goss United States	13	553 0.9×	147 0.4×	367 1.2×	355 1.3×	133 0.8×	31	805
Emma Lehmer United States	16	266 0.4×	104 0.3×	117 0.4×	288 1.0×	179 1.1×	51	644
Jürgen Neukirch Germany	9	1.2k 2.0×	224 0.7×	806 2.6×	507 1.8×	221 1.4×	14	1.4k

Countries citing papers authored by James Ax

Since Specialization

Citations

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

Fields of papers citing papers by James Ax

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of James Ax

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

All Works

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19 of 19 papers shown

Ax, James. (1978). The elementary foundations of spacetime. Foundations of Physics. 8(7-8). 507–546. 12 indexed citations

Ax, James. (1976). Group-theoretic treatment of the axioms of quantum mechanics. Foundations of Physics. 6(4). 371–399. 5 indexed citations

Ax, James. (1972). Some Topics in Differential Algebraic Geometry II: On the Zeros of Theta Functions. American Journal of Mathematics. 94(4). 1205–1205. 9 indexed citations

Ax, James. (1972). Some Topics in Differential Algebraic Geometry I: Analytic Subgroups of Algebraic Groups. American Journal of Mathematics. 94(4). 1195–1195. 25 indexed citations

Ax, James. (1971). On Schanuel's Conjectures. Annals of Mathematics. 93(2). 252–252. 95 indexed citations

Ax, James. (1970). Zeros of polynomials over local fields—The Galois action. Journal of Algebra. 15(3). 417–428. 45 indexed citations

Ax, James. (1969). Injective endomorphisms of varieties and schemes. Pacific Journal of Mathematics. 31(1). 1–7. 28 indexed citations

Ax, James. (1968). The Elementary Theory of Finite Fields. Annals of Mathematics. 88(2). 239–239. 180 indexed citations

Ax, James. (1967). Solving Diophantine Problems Modulo Every Prime. Annals of Mathematics. 85(2). 161–161. 41 indexed citations

10.

Ax, James & Simon Kochen. (1966). Diophantine Problems Over Local Fields: III. Decidable Fields. Annals of Mathematics. 83(3). 437–437. 72 indexed citations

11.

Ax, James. (1965). Proof of some conjectures on cohomological dimension. Proceedings of the American Mathematical Society. 16(6). 1214–1221. 3 indexed citations

12.

Ax, James. (1965). Proof of Some Conjectures on Cohomological Dimension. Proceedings of the American Mathematical Society. 16(6). 1214–1214. 2 indexed citations

13.

Ax, James & Simon Kochen. (1965). Diophantine Problems Over Local Fields I. American Journal of Mathematics. 87(3). 605–605. 124 indexed citations

14.

Ax, James. (1965). A field of cohomological dimension 1 which is not $C_1$. Bulletin of the American Mathematical Society. 71(5). 717–718. 5 indexed citations

15.

Ax, James. (1965). On the undecidability of power series fields. Proceedings of the American Mathematical Society. 16(4). 846–846. 22 indexed citations

16.

Ax, James. (1965). Shorter Notes: On the Undecidability of Power Series Fields. Proceedings of the American Mathematical Society. 16(4). 846–846. 5 indexed citations

17.

Ax, James. (1965). On the units of an algebraic number field. Illinois Journal of Mathematics. 9(4). 16 indexed citations

18.

Ax, James & Simon Kochen. (1965). Diophantine Problems Over Local Fields II. A Complete Set of Axioms for p-Adic Number Theory. American Journal of Mathematics. 87(3). 631–631. 56 indexed citations

19.

Ax, James. (1964). Zeroes of Polynomials Over Finite Fields. American Journal of Mathematics. 86(2). 255–255. 129 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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