Alek Vainshtein

2.2k total citations
50 papers, 986 citations indexed

About

Alek Vainshtein is a scholar working on Geometry and Topology, Mathematical Physics and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Alek Vainshtein has authored 50 papers receiving a total of 986 indexed citations (citations by other indexed papers that have themselves been cited), including 30 papers in Geometry and Topology, 20 papers in Mathematical Physics and 19 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Alek Vainshtein's work include Algebraic structures and combinatorial models (20 papers), Advanced Combinatorial Mathematics (18 papers) and Advanced Algebra and Geometry (16 papers). Alek Vainshtein is often cited by papers focused on Algebraic structures and combinatorial models (20 papers), Advanced Combinatorial Mathematics (18 papers) and Advanced Algebra and Geometry (16 papers). Alek Vainshtein collaborates with scholars based in Israel, United States and Sweden. Alek Vainshtein's co-authors include Michael Shapiro, Michael Gekhtman, Toufik Mansour, Torsten Ekedahl, Сергей Константинович Ландо, M. Gekhtman, D. M. Jackson, Boris Shapiro, I. P. Goulden and Serge Tabachnikov and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Inventiones mathematicae and SIAM Journal on Computing.

In The Last Decade

Alek Vainshtein

44 papers receiving 897 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Alek Vainshtein Israel 18 662 420 404 348 264 50 986
Lauren Williams United States 18 499 0.8× 299 0.7× 572 1.4× 279 0.8× 217 0.8× 44 997
Jerzy Weyman United States 23 1.4k 2.1× 904 2.2× 552 1.4× 646 1.9× 290 1.1× 79 1.7k
Alexander Postnikov United States 21 834 1.3× 483 1.1× 928 2.3× 461 1.3× 174 0.7× 46 1.5k
Corrado De Concini Italy 21 1.2k 1.8× 656 1.6× 538 1.3× 840 2.4× 279 1.1× 60 1.5k
Hal Schenck United States 14 551 0.8× 324 0.8× 233 0.6× 200 0.6× 51 0.2× 42 821
Stephen Berman Canada 19 802 1.2× 703 1.7× 140 0.3× 280 0.8× 454 1.7× 38 1.0k
Laurent Manivel France 17 701 1.1× 249 0.6× 262 0.6× 465 1.3× 92 0.3× 64 892
Gerard van der Geer Netherlands 18 828 1.3× 274 0.7× 200 0.5× 595 1.7× 60 0.2× 73 1.2k
Igor Dolgachev United States 21 1.4k 2.2× 325 0.8× 280 0.7× 859 2.5× 119 0.5× 58 1.6k
Mark Haiman United States 23 1.2k 1.8× 768 1.8× 1.2k 3.0× 634 1.8× 110 0.4× 41 1.7k

Countries citing papers authored by Alek Vainshtein

Since Specialization
Citations

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

Fields of papers citing papers by Alek Vainshtein

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Alek Vainshtein

This figure shows the co-authorship network connecting the top 25 collaborators of Alek Vainshtein. A scholar is included among the top collaborators of Alek Vainshtein 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 Alek Vainshtein. Alek Vainshtein 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.
Shapiro, Michael, et al.. (2018). Drinfeld double of GL <sub>n</sub> and generalized cluster structures. MPG.PuRe (Max Planck Society). 11 indexed citations
2.
Gekhtman, Michael, Michael Shapiro, & Alek Vainshtein. (2016). Generalized cluster structure on the Drinfeld double of <i>GL</i><sub><i>n</i></sub>. Comptes Rendus Mathématique. 5 indexed citations
3.
Gekhtman, Michael, Michael Shapiro, Serge Tabachnikov, & Alek Vainshtein. (2016). Integrable cluster dynamics of directed networks and pentagram maps. Advances in Mathematics. 300. 390–450. 18 indexed citations
4.
Vainshtein, Alek, et al.. (2013). Evaluating the oxidation resistance of domestic and foreign working turbine oils. Power Technology and Engineering. 47(1). 58–60.
5.
Gekhtman, Michael, Michael Shapiro, & Alek Vainshtein. (2010). Cluster Algebras and Poisson Geometry. Mathematical surveys and monographs. 120 indexed citations
6.
Shapiro, Michael, et al.. (2006). On double Hurwitz numbers in genus 0. arXiv (Cornell University). 1 indexed citations
7.
Shapiro, Boris, Michael Shapiro, & Alek Vainshtein. (2005). Periodic de Bruijn triangles: exact and asymptotic results. Discrete Mathematics. 298(1-3). 321–333. 4 indexed citations
8.
Gutin, Gregory, Alek Vainshtein, & Anders Yeo. (2003). Domination analysis of combinatorial optimization problems. Discrete Applied Mathematics. 129(2-3). 513–520. 11 indexed citations
9.
Shapiro, Boris & Alek Vainshtein. (2003). On the number of connected components in the space of M-polynomials in hyperbolic functions. Advances in Applied Mathematics. 30(1-2). 273–282. 1 indexed citations
10.
Mansour, Toufik & Alek Vainshtein. (2002). Counting Occurrences of 132 in a Permutation. Advances in Applied Mathematics. 28(2). 185–195. 24 indexed citations
11.
Vainshtein, Alek, et al.. (2002). Approximation algorithms for multi-parameter graph optimization problems. Discrete Applied Mathematics. 119(1-2). 129–138. 1 indexed citations
12.
Gekhtman, Michael, Michael Shapiro, & Alek Vainshtein. (2002). The number of connected components in double Bruhat cells for nonsimply-laced groups. Proceedings of the American Mathematical Society. 131(3). 731–739. 4 indexed citations
13.
Shapiro, Boris, et al.. (2002). TOPOLOGICAL CLASSIFICATION OF GENERIC REAL RATIONAL FUNCTIONS. Journal of Knot Theory and Its Ramifications. 11(7). 1063–1075. 12 indexed citations
14.
Ekedahl, Torsten, Сергей Константинович Ландо, Michael Shapiro, & Alek Vainshtein. (2000). On Hodge integrals and Hurwitz numbers. arXiv (Cornell University). 1 indexed citations
15.
Shapiro, Boris, Michael Shapiro, Alek Vainshtein, & Andrei Zelevinsky. (2000). Simply laced Coxeter groups and groups generated by symplectic transvections.. The Michigan Mathematical Journal. 48(1). 12 indexed citations
16.
Goulden, I. P., D. M. Jackson, & Alek Vainshtein. (2000). The Number of Ramified Coverings of the Sphere by the Torus and Surfaces of Higher Genera. Annals of Combinatorics. 4(1). 27–46. 66 indexed citations
17.
Mansour, Toufik & Alek Vainshtein. (2000). Restricted permutations, continued fractions, and Chebyshev polynomials. The Electronic Journal of Combinatorics. 7(1). 42 indexed citations
18.
Shapiro, Boris, Michael Shapiro, & Alek Vainshtein. (1998). . International Mathematics Research Notices. 1998(11). 563–563. 19 indexed citations
19.
Vainshtein, Alek, et al.. (1995). Locally orientable graphs, cell structures, and a new algorithm for the incremental maintenance of connectivity carcasses. Symposium on Discrete Algorithms. 302–311. 1 indexed citations
20.
Schwarz, Christian, Jürgen Teich, Alek Vainshtein, Emo Welzl, & Brian L. Evans. (1995). Minimal enclosing parallelogram with application. 434–435. 17 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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Lauren Williams Breakdown of academic impact, for papers by Jerzy Weyman Breakdown of academic impact, for papers by Alexander Postnikov Breakdown of academic impact, for papers by Corrado De Concini Breakdown of academic impact, for papers by Hal Schenck Breakdown of academic impact, for papers by Stephen Berman Breakdown of academic impact, for papers by Laurent Manivel Breakdown of academic impact, for papers by Gerard van der Geer Breakdown of academic impact, for papers by Igor Dolgachev Breakdown of academic impact, for papers by Mark Haiman
Rankless by CCL
2026