Avinash Sathaye

757 total citations
26 papers, 459 citations indexed

About

Avinash Sathaye is a scholar working on Geometry and Topology, Algebra and Number Theory and Computational Theory and Mathematics. According to data from OpenAlex, Avinash Sathaye has authored 26 papers receiving a total of 459 indexed citations (citations by other indexed papers that have themselves been cited), including 10 papers in Geometry and Topology, 9 papers in Algebra and Number Theory and 8 papers in Computational Theory and Mathematics. Recurrent topics in Avinash Sathaye's work include Advanced Differential Equations and Dynamical Systems (6 papers), Polynomial and algebraic computation (5 papers) and Advanced Topics in Algebra (5 papers). Avinash Sathaye is often cited by papers focused on Advanced Differential Equations and Dynamical Systems (6 papers), Polynomial and algebraic computation (5 papers) and Advanced Topics in Algebra (5 papers). Avinash Sathaye collaborates with scholars based in United States, India and France. Avinash Sathaye's co-authors include Paul Eakin, Joseph Lipman, Peter B. Russell, Thyagaraju Damarla, Shreeram S. Abhyankar, Charles E. Stroud, Chris Christensen, Chandrajit Bajaj, Jun Ou and S. M. Shah and has published in prestigious journals such as Lecture notes in mathematics, Inventiones mathematicae and IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.

In The Last Decade

Avinash Sathaye

26 papers receiving 371 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Avinash Sathaye United States 12 298 230 139 75 66 26 459
S. W. Graham United States 10 161 0.5× 385 1.7× 40 0.3× 113 1.5× 93 1.4× 23 501
Robert Rumely United States 12 380 1.3× 243 1.1× 148 1.1× 257 3.4× 98 1.5× 28 628
Michael A. Bennett Canada 14 422 1.4× 315 1.4× 125 0.9× 179 2.4× 39 0.6× 60 549
Sibylla Prieß-Crampe Germany 9 265 0.9× 106 0.5× 92 0.7× 108 1.4× 36 0.5× 27 390
Jürgen Klüners Germany 12 311 1.0× 152 0.7× 146 1.1× 148 2.0× 17 0.3× 30 444
Pierre Liardet France 12 86 0.3× 67 0.3× 154 1.1× 204 2.7× 35 0.5× 33 353
Ernst S. Selmer Norway 7 162 0.5× 156 0.7× 136 1.0× 59 0.8× 15 0.2× 18 306
Vassil Kanev Bulgaria 7 273 0.9× 180 0.8× 164 1.2× 62 0.8× 13 0.2× 17 393
Ralf Fröberg Sweden 15 484 1.6× 659 2.9× 510 3.7× 62 0.8× 16 0.2× 39 840
John Cowles United States 8 53 0.2× 67 0.3× 193 1.4× 24 0.3× 14 0.2× 44 302

Countries citing papers authored by Avinash Sathaye

Since Specialization
Citations

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

Fields of papers citing papers by Avinash Sathaye

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Avinash Sathaye

This figure shows the co-authorship network connecting the top 25 collaborators of Avinash Sathaye. A scholar is included among the top collaborators of Avinash Sathaye 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 Avinash Sathaye. Avinash Sathaye 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.
Alahmadi, Adel, Sachin Jain, André Leroy, & Avinash Sathaye. (2015). Decompositions into products of idempotents. Electronic Journal of Linear Algebra. 29. 74–88. 5 indexed citations
2.
Abhyankar, Shreeram S., et al.. (2003). Algebra, Arithmetic and Geometry with Applications: Papers from Shreeram S. Abhyankar’s 70th Birthday Conference. Medical Entomology and Zoology. 2 indexed citations
3.
4.
Sills, Andrew V., George E. Andrews, & Avinash Sathaye. (2002). Computer-assisted explorations of rogers-ramanujan type identities. 3 indexed citations
5.
Abhyankar, Shreeram S. & Avinash Sathaye. (1996). Uniqueness of plane embeddings of special curves. Proceedings of the American Mathematical Society. 124(4). 1061–1069. 6 indexed citations
6.
Damarla, Thyagaraju, Charles E. Stroud, & Avinash Sathaye. (1995). Multiple error detection and identification via signature analysis. Journal of Electronic Testing. 7(3). 193–207. 37 indexed citations
7.
Abhyankar, Shreeram S., et al.. (1994). Some remarks on the Jacobian question. Proceedings - Mathematical Sciences. 104(3). 515–542. 9 indexed citations
8.
Damarla, Thyagaraju & Avinash Sathaye. (1993). Applications of one-dimensional cellular automata and linear feedback shift registers for pseudo-exhaustive testing. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems. 12(10). 1580–1591. 11 indexed citations
9.
Eakin, Paul & Avinash Sathaye. (1990). On automorphisms and derivations of Cayley-Dickson algebras. Journal of Algebra. 129(2). 263–278. 20 indexed citations
10.
Eakin, Paul, et al.. (1987). Analytic extensions of a commutative ring. Journal of Algebra. 110(2). 431–448. 3 indexed citations
11.
Sathaye, Avinash. (1983). Polynomial ring in two variables over a D.V.R.: A criterion. Inventiones mathematicae. 74(1). 159–168. 40 indexed citations
12.
Sathaye, Avinash. (1983). Generalized Newton-Puiseux expansion and Abhyankar-Moh semigroup theorem. Inventiones mathematicae. 74(1). 149–157. 11 indexed citations
13.
Sathaye, Avinash & S. M. Shah. (1981). The second coefficient of a function with all derivatives univalent. International Journal of Mathematics and Mathematical Sciences. 5(2). 281–288. 3 indexed citations
14.
Eakin, Paul & Avinash Sathaye. (1980). R-Automorphisms of finite order in R〚X〛. Journal of Algebra. 67(1). 110–128. 2 indexed citations
15.
Russell, Peter B. & Avinash Sathaye. (1979). On finding and cancelling variables in k[X, Y, Z]. Journal of Algebra. 57(1). 151–166. 39 indexed citations
16.
Sathaye, Avinash. (1976). On linear planes. Proceedings of the American Mathematical Society. 56(1). 1–7. 26 indexed citations
17.
Eakin, Paul & Avinash Sathaye. (1976). Prestable ideals. Journal of Algebra. 41(2). 439–454. 46 indexed citations
18.
Sathaye, Avinash. (1976). Convergence sets of divergent power series.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1976(283-284). 86–98. 7 indexed citations
19.
Sathaye, Avinash. (1976). On Linear Planes. Proceedings of the American Mathematical Society. 56(1). 1–1. 3 indexed citations
20.
Eakin, Paul & Avinash Sathaye. (1976). R-endomorphisms ofR[[X]] are essentially continuous. Pacific Journal of Mathematics. 66(1). 83–87. 44 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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