Todd Cochrane

875 total citations
59 papers, 490 citations indexed

About

Todd Cochrane is a scholar working on Algebra and Number Theory, Discrete Mathematics and Combinatorics and Geometry and Topology. According to data from OpenAlex, Todd Cochrane has authored 59 papers receiving a total of 490 indexed citations (citations by other indexed papers that have themselves been cited), including 44 papers in Algebra and Number Theory, 23 papers in Discrete Mathematics and Combinatorics and 18 papers in Geometry and Topology. Recurrent topics in Todd Cochrane's work include Analytic Number Theory Research (44 papers), Coding theory and cryptography (16 papers) and Limits and Structures in Graph Theory (14 papers). Todd Cochrane is often cited by papers focused on Analytic Number Theory Research (44 papers), Coding theory and cryptography (16 papers) and Limits and Structures in Graph Theory (14 papers). Todd Cochrane collaborates with scholars based in United States, China and Australia. Todd Cochrane's co-authors include Christopher Pinner, Juan Carlos Peral, Jean Bourgain, Patrick S. Mitchell, Jiang Rui-bo, Sergeĭ Konyagin, Derrick Hart and Lee J. Goldstein and has published in prestigious journals such as Mathematics of Computation, Transactions of the American Mathematical Society and Proceedings of the American Mathematical Society.

In The Last Decade

Todd Cochrane

52 papers receiving 421 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Todd Cochrane United States	13	386	163	161	160	124	59	490
William D. Banks United States	14	413 1.1×	196 1.2×	147 0.9×	195 1.2×	181 1.5×	90	531
M. Z. Garaev Mexico	13	323 0.8×	269 1.7×	156 1.0×	144 0.9×	84 0.7×	48	475
Olivier Ramaré France	11	346 0.9×	161 1.0×	65 0.4×	171 1.1×	84 0.7×	55	404
Glyn Harman United Kingdom	13	508 1.3×	183 1.1×	80 0.5×	309 1.9×	237 1.9×	67	602
Antal Balog Hungary	13	298 0.8×	284 1.7×	64 0.4×	158 1.0×	85 0.7×	54	464
Pieter Moree Germany	11	362 0.9×	118 0.7×	131 0.8×	250 1.6×	108 0.9×	87	500
D. A. Burgess United Kingdom	11	476 1.2×	276 1.7×	200 1.2×	229 1.4×	158 1.3×	27	657
Yong-Gao Chen China	13	350 0.9×	358 2.2×	66 0.4×	217 1.4×	90 0.7×	155	628
Hans Peter Schlickewei Germany	14	272 0.7×	127 0.8×	97 0.6×	383 2.4×	218 1.8×	44	604
Mei-Chu Chang United States	15	245 0.6×	315 1.9×	93 0.6×	360 2.3×	174 1.4×	75	621

Countries citing papers authored by Todd Cochrane

Since Specialization

Citations

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

Fields of papers citing papers by Todd Cochrane

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Todd Cochrane

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

Cochrane, Todd, et al.. (2018). Cauchy-Davenport Theorem for abelian groups and diagonal congruences. Proceedings of the American Mathematical Society. 147(8). 3339–3345.

Cochrane, Todd, et al.. (2017). Small solutions of diagonal congruences. Functiones et Approximatio Commentarii Mathematici. 56(1). 2 indexed citations

Cochrane, Todd, et al.. (2009). The congruence x1x2≡x3x4(modm) and mean values of character sums. Journal of Number Theory. 130(3). 767–785. 10 indexed citations

Cochrane, Todd, et al.. (2008). Lattices in Z²and the congruence xy+uv ≡c (mod m). Acta Arithmetica. 132(2). 127–133. 3 indexed citations

Cochrane, Todd, et al.. (2007). Heilbronn's conjecture on Waring's number (mod p). Journal of Number Theory. 125(2). 289–297. 11 indexed citations

Cochrane, Todd & Christopher Pinner. (2005). Using Stepanov's method for exponential sums involving rational functions. Journal of Number Theory. 116(2). 270–292. 36 indexed citations

Cochrane, Todd & Christopher Pinner. (2004). An improved Mordell type bound for exponential sums. Proceedings of the American Mathematical Society. 133(2). 313–320. 21 indexed citations

Cochrane, Todd & Juan Carlos Peral. (2001). An Asymptotic Formula for a Trigonometric Sum of Vinogradov. Journal of Number Theory. 91(1). 1–19. 10 indexed citations

Cochrane, Todd, et al.. (2001). On upper bounds of Chalk and Hua for exponential sums. Proceedings of the American Mathematical Society. 129(9). 2505–2516. 8 indexed citations

10.

Cochrane, Todd, et al.. (2000). On a Problem of H. Cohn for Character Sums. Journal of Number Theory. 81(1). 120–129.

11.

Cochrane, Todd & Patrick S. Mitchell. (1998). Small Solutions of the Legendre Equation. Journal of Number Theory. 70(1). 62–66. 4 indexed citations

12.

Cochrane, Todd, et al.. (1998). High order moments of character sums. Proceedings of the American Mathematical Society. 126(4). 951–956. 6 indexed citations

13.

Cochrane, Todd, et al.. (1996). The Congruencex1x2≡x3x4(modp), the Equationx1x2≡x3x4, and Mean Values of Character Sums. Journal of Number Theory. 59(2). 398–413. 47 indexed citations

14.

Cochrane, Todd. (1995). Small Zeros of Quadratic Congruences modulo pq, II. Journal of Number Theory. 50(2). 299–308. 2 indexed citations

15.

Cochrane, Todd. (1991). Small zeros of quadratic forms modulo p, III. Journal of Number Theory. 37(1). 92–99. 7 indexed citations

16.

Cochrane, Todd. (1988). Trigonometric Approximation and Uniform Distribution Modulo One. Proceedings of the American Mathematical Society. 103(3). 695–695. 5 indexed citations

17.

Cochrane, Todd. (1988). Trigonometric approximation and uniform distribution modulo one. Proceedings of the American Mathematical Society. 103(3). 695–702. 20 indexed citations

18.

Cochrane, Todd. (1987). On a trigonometric inequality of vinogradov. Journal of Number Theory. 27(1). 9–16. 34 indexed citations

19.

Cochrane, Todd. (1986). The Distribution of Solutions to Equations Over Finite Fields. Transactions of the American Mathematical Society. 293(2). 819–819. 1 indexed citations

20.

Cochrane, Todd. (1984). Small Solutions of Congruences.. Deep Blue (University of Michigan). 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.

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