Alexander Levin

451 total citations
20 papers, 165 citations indexed

About

Alexander Levin is a scholar working on Computational Theory and Mathematics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Alexander Levin has authored 20 papers receiving a total of 165 indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Computational Theory and Mathematics, 11 papers in Geometry and Topology and 9 papers in Algebra and Number Theory. Recurrent topics in Alexander Levin's work include Polynomial and algebraic computation (13 papers), Advanced Differential Equations and Dynamical Systems (7 papers) and Advanced Topics in Algebra (6 papers). Alexander Levin is often cited by papers focused on Polynomial and algebraic computation (13 papers), Advanced Differential Equations and Dynamical Systems (7 papers) and Advanced Topics in Algebra (6 papers). Alexander Levin collaborates with scholars based in United States and Russia. Alexander Levin's co-authors include A. V. Mikhalëv and A. V. Mikhalev and has published in prestigious journals such as Russian Mathematical Surveys, Advances in Applied Mathematics and Journal of Symbolic Computation.

In The Last Decade

Alexander Levin

15 papers receiving 157 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Alexander Levin United States 6 124 99 69 28 26 20 165
Ágnes Szántó United States 9 135 1.1× 69 0.7× 56 0.8× 20 0.7× 54 2.1× 31 160
Roberto La Scala Italy 8 92 0.7× 123 1.2× 132 1.9× 23 0.8× 12 0.5× 23 178
Wolfram Decker Germany 9 81 0.7× 96 1.0× 53 0.8× 10 0.4× 18 0.7× 21 170
Frédéric Bihan France 9 121 1.0× 71 0.7× 47 0.7× 22 0.8× 35 1.3× 27 159
F. L. Zak Russia 7 85 0.7× 191 1.9× 58 0.8× 21 0.8× 13 0.5× 12 257
Kevin G. Hare Canada 8 90 0.7× 41 0.4× 39 0.6× 34 1.2× 7 0.3× 43 170
Shaoshi Chen China 8 116 0.9× 38 0.4× 29 0.4× 32 1.1× 30 1.2× 32 146
Damien Roy Canada 10 129 1.0× 143 1.4× 89 1.3× 28 1.0× 10 0.4× 38 273
Antonio Laface Chile 11 94 0.8× 248 2.5× 127 1.8× 14 0.5× 14 0.5× 36 293
John Greene United States 8 70 0.6× 117 1.2× 153 2.2× 48 1.7× 13 0.5× 19 240

Countries citing papers authored by Alexander Levin

Since Specialization
Citations

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

Fields of papers citing papers by Alexander Levin

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Alexander Levin

This figure shows the co-authorship network connecting the top 25 collaborators of Alexander Levin. A scholar is included among the top collaborators of Alexander Levin 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 Alexander Levin. Alexander Levin 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.
Levin, Alexander. (2022). A New Type of Difference Dimension Polynomials. Mathematics in Computer Science. 16(4).
2.
3.
Levin, Alexander. (2018). Bivariate Dimension Polynomials of Non-Reflexive Prime Difference-Differential Ideals.. 255–262. 1 indexed citations
4.
Levin, Alexander. (2015). Dimension polynomials of difference local algebras. Advances in Applied Mathematics. 72. 166–174.
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8.
Levin, Alexander. (2008). Difference Algebra. CERN Document Server (European Organization for Nuclear Research). 36 indexed citations
9.
Levin, Alexander. (2007). Gröbner bases with respect to several orderings and multivariable dimension polynomials. Journal of Symbolic Computation. 42(5). 561–578. 8 indexed citations
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11.
Levin, Alexander. (2005). Multivariable Difference Dimension Polynomials. Journal of Mathematical Sciences. 131(6). 6060–6082. 2 indexed citations
12.
Levin, Alexander. (2001). Multivariable dimension polynomials and new invariants of differential field extensions. International Journal of Mathematics and Mathematical Sciences. 27(4). 201–214. 2 indexed citations
13.
Levin, Alexander. (2001). On the set of Hilbert polynomials. Bulletin of the Australian Mathematical Society. 64(2). 291–305. 1 indexed citations
14.
Levin, Alexander. (2000). Reduced Gröbner Bases, Free Difference–Differential Modules and Difference–Differential Dimension Polynomials. Journal of Symbolic Computation. 30(4). 357–382. 14 indexed citations
15.
Levin, Alexander. (2000). Characteristic polynomials of finitely generated modules over Weyl algebras. Bulletin of the Australian Mathematical Society. 61(3). 387–403. 2 indexed citations
16.
Levin, Alexander. (1999). Computation of Hilbert Polynomials in Two Variables. Journal of Symbolic Computation. 28(4-5). 681–710. 2 indexed citations
17.
Levin, Alexander, et al.. (1999). Differential and Difference Dimension Polynomials. CERN Document Server (European Organization for Nuclear Research). 68 indexed citations
18.
Levin, Alexander & A. V. Mikhalev. (1995). Type and dimension of finitely generated G-algebras. Contemporary mathematics - American Mathematical Society. 184. 275–280. 2 indexed citations
19.
Levin, Alexander. (1980). CHARACTERISTIC POLYNOMIALS OF INVERSE DIFFERENTIAL MODULES AND SOME PROPERTIES OF INVERSE DIFFERENTIAL DIMENSION. Russian Mathematical Surveys. 35(1). 217–218. 5 indexed citations
20.
Levin, Alexander. (1978). CHARACTERISTIC POLYNOMIALS OF FILTERED DIFFERENCE MODULES AND OF EXTENSIONS OF DIFFERENCE FIELDS. Russian Mathematical Surveys. 33(3). 165–166. 16 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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