David B. Leep

597 total citations
46 papers, 359 citations indexed

About

David B. Leep is a scholar working on Geometry and Topology, Algebra and Number Theory and Discrete Mathematics and Combinatorics. According to data from OpenAlex, David B. Leep has authored 46 papers receiving a total of 359 indexed citations (citations by other indexed papers that have themselves been cited), including 30 papers in Geometry and Topology, 21 papers in Algebra and Number Theory and 8 papers in Discrete Mathematics and Combinatorics. Recurrent topics in David B. Leep's work include Algebraic Geometry and Number Theory (21 papers), Advanced Topics in Algebra (9 papers) and Algebraic structures and combinatorial models (7 papers). David B. Leep is often cited by papers focused on Algebraic Geometry and Number Theory (21 papers), Advanced Topics in Algebra (9 papers) and Algebraic structures and combinatorial models (7 papers). David B. Leep collaborates with scholars based in United States, Germany and Belgium. David B. Leep's co-authors include James C. Bezdek, Adrian R. Wadsworth, Jean-Pierre Tignol, Tsit Yuen Lam, Wolfgang M. Schmidt, Daniel B. Shapiro, Ricardo Baeza, Nathalie Vast, Murray Marshall and Detlev W. Hoffmann and has published in prestigious journals such as Fuzzy Sets and Systems, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

David B. Leep

41 papers receiving 306 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
David B. Leep United States	9	168	105	80	77	59	46	359
Francesco Russo Italy	10	173 1.0×	105 1.0×	86 1.1×	12 0.2×	84 1.4×	27	298
David Gay United States	10	147 0.9×	24 0.2×	106 1.3×	31 0.4×	68 1.2×	42	311
Kevin Broughan New Zealand	9	77 0.5×	103 1.0×	65 0.8×	29 0.4×	32 0.5×	64	235
Ross Honsberger Canada	8	121 0.7×	31 0.3×	25 0.3×	31 0.4×	41 0.7×	18	279
Sándor Szabó Hungary	9	57 0.3×	31 0.3×	52 0.7×	126 1.6×	169 2.9×	71	398
John Cozzens United States	10	182 1.1×	265 2.5×	24 0.3×	16 0.2×	72 1.2×	18	420
Franck Leprévost Luxembourg	8	133 0.8×	38 0.4×	60 0.8×	69 0.9×	42 0.7×	37	226
Heiko Harborth Germany	10	113 0.7×	52 0.5×	16 0.2×	29 0.4×	180 3.1×	64	370
David A. Drake United States	12	87 0.5×	59 0.6×	25 0.3×	176 2.3×	88 1.5×	43	453
Paul M. Weichsel United States	10	182 1.1×	69 0.7×	37 0.5×	77 1.0×	224 3.8×	21	454

Countries citing papers authored by David B. Leep

Since Specialization

Citations

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

Fields of papers citing papers by David B. Leep

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by David B. Leep. 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 David B. Leep. The network helps show where David B. Leep may publish in the future.

Co-authorship network of co-authors of David B. Leep

This figure shows the co-authorship network connecting the top 25 collaborators of David B. Leep. A scholar is included among the top collaborators of David B. Leep 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 David B. Leep. David B. Leep 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

Leep, David B., et al.. (2024). A correction and further improvements to the Chevalley-Warning theorems. Finite Fields and Their Applications. 96. 102427–102427.

Leep, David B., et al.. (2023). Further improvements to the Chevalley-Warning theorems. Finite Fields and Their Applications. 89. 102194–102194. 1 indexed citations

Leep, David B., et al.. (2013). Semiorderings and stability index under field extensions. Israel Journal of Mathematics. 199(2). 547–566.

Leep, David B., et al.. (2013). The Kaplansky radical of a quadratic field extension. Journal of Pure and Applied Algebra. 218(9). 1577–1582. 1 indexed citations

Leep, David B., et al.. (2007). Estimates of the Pythagoras number of Rm[x1,…,xn] through lattice points and polytopes. Discrete Mathematics. 308(23). 5771–5781. 1 indexed citations

Leep, David B., et al.. (2003). Galois groups of order 2n that contain a cyclic subgroup of order n. Pacific Journal of Mathematics. 212(2). 297–319. 1 indexed citations

Leep, David B., et al.. (2002). MULTIQUADRATIC EXTENSIONS, RIGID FIELDS AND PYTHAGOREAN FIELDS. Bulletin of the London Mathematical Society. 34(2). 140–148. 3 indexed citations

Leep, David B., et al.. (2002). Frattini closed groups and adequate extensions of global fields. Israel Journal of Mathematics. 130(1). 1–10. 1 indexed citations

Leep, David B., et al.. (2001). Polynomials in R[x, y] that are sums of squares in R(x, y). Proceedings of the American Mathematical Society. 129(11). 3133–3142. 4 indexed citations

10.

Leep, David B., et al.. (2001). Divisible subgroups of Brauer groups and trace forms of central simple algebras. Documenta Mathematica. 6. 489–500. 1 indexed citations

11.

Leep, David B., et al.. (2001). Polynomials in ℝ[𝕩,𝕪] that are sums of squares in ℝ(𝕩,𝕪). Proceedings of the American Mathematical Society. 129(11). 3133–3141. 5 indexed citations

12.

Leep, David B., et al.. (1999). Zeros of a Pair of Quadratic Forms Defined over a Finite Field. Finite Fields and Their Applications. 5(2). 157–176. 5 indexed citations

13.

Leep, David B., et al.. (1999). Marriage, Magic, and Solitaire. American Mathematical Monthly. 106(5). 419–429. 3 indexed citations

14.

Leep, David B., et al.. (1996). Quintic Forms overp-adic Fields. Journal of Number Theory. 57(2). 231–241. 6 indexed citations

15.

Leep, David B. & Adrian R. Wadsworth. (1992). The Hasse norm theorem mod squares. Journal of Number Theory. 42(3). 337–348. 10 indexed citations

16.

Leep, David B., et al.. (1992). Diagonal forms over fields with procyclic galois group. Communications in Algebra. 20(7). 2029–2041. 1 indexed citations

17.

Leep, David B. & Adrian R. Wadsworth. (1989). The transfer ideal of quadratic forms and a Hasse norm theorem mod squares. Transactions of the American Mathematical Society. 315(1). 415–432. 10 indexed citations

18.

Leep, David B., Jean-Pierre Tignol, & Nathalie Vast. (1989). The level of division algebras over local and global fields. Journal of Number Theory. 33(1). 53–70. 5 indexed citations

19.

Leep, David B. & Wolfgang M. Schmidt. (1983). Systems of homogeneous equations. Inventiones mathematicae. 71(3). 539–549. 19 indexed citations

20.

Leep, David B.. (1980). Common Value Properties Of Quadratic Forms.. Deep Blue (University of Michigan). 3 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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