Vladimir Shpilrain

2.6k total citations
80 papers, 857 citations indexed

About

Vladimir Shpilrain is a scholar working on Geometry and Topology, Computational Theory and Mathematics and Artificial Intelligence. According to data from OpenAlex, Vladimir Shpilrain has authored 80 papers receiving a total of 857 indexed citations (citations by other indexed papers that have themselves been cited), including 51 papers in Geometry and Topology, 30 papers in Computational Theory and Mathematics and 24 papers in Artificial Intelligence. Recurrent topics in Vladimir Shpilrain's work include Geometric and Algebraic Topology (28 papers), Advanced Differential Equations and Dynamical Systems (19 papers) and Advanced Topics in Algebra (14 papers). Vladimir Shpilrain is often cited by papers focused on Geometric and Algebraic Topology (28 papers), Advanced Differential Equations and Dynamical Systems (19 papers) and Advanced Topics in Algebra (14 papers). Vladimir Shpilrain collaborates with scholars based in United States, Hong Kong and France. Vladimir Shpilrain's co-authors include Alexei Myasnikov, Jie-Tai Yu, Ilya Kapovich, Paul E. Schupp, Alexander Ushakov, Dima Grigoriev, Delaram Kahrobaei, Alexander A. Mikhalev, Kayvan Najarian and Arno van den Essen and has published in prestigious journals such as SHILAP Revista de lepidopterología, Transactions of the American Mathematical Society and Advances in Mathematics.

In The Last Decade

Vladimir Shpilrain

74 papers receiving 770 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Vladimir Shpilrain United States 17 532 351 251 208 173 80 857
Arnaldo Garcia Brazil 16 469 0.9× 271 0.8× 680 2.7× 196 0.9× 149 0.9× 44 943
R. A. Mollin Canada 14 436 0.8× 115 0.3× 263 1.0× 187 0.9× 324 1.9× 110 861
Ofer Gabber France 15 628 1.2× 208 0.6× 125 0.5× 448 2.2× 283 1.6× 27 908
Bjorn Poonen United States 22 891 1.7× 300 0.9× 198 0.8× 513 2.5× 312 1.8× 79 1.2k
Attila Pethő Hungary 17 451 0.8× 330 0.9× 187 0.7× 339 1.6× 257 1.5× 82 809
Martin Kreuzer Germany 13 291 0.5× 480 1.4× 151 0.6× 36 0.2× 376 2.2× 54 775
Alexei Myasnikov United States 21 1.2k 2.3× 706 2.0× 203 0.8× 744 3.6× 261 1.5× 121 1.6k
Serge Vlăduţ France 15 250 0.5× 337 1.0× 850 3.4× 125 0.6× 103 0.6× 35 1.2k
Thomas W. Tucker United States 14 359 0.7× 290 0.8× 130 0.5× 145 0.7× 89 0.5× 64 793
Neil J. Calkin United States 11 121 0.2× 240 0.7× 137 0.5× 79 0.4× 99 0.6× 48 504

Countries citing papers authored by Vladimir Shpilrain

Since Specialization
Citations

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

Fields of papers citing papers by Vladimir Shpilrain

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Vladimir Shpilrain

This figure shows the co-authorship network connecting the top 25 collaborators of Vladimir Shpilrain. A scholar is included among the top collaborators of Vladimir Shpilrain 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 Vladimir Shpilrain. Vladimir Shpilrain 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.
Olshanskii, Alexander & Vladimir Shpilrain. (2025). Linear average-case complexity of algorithmic problems in groups. Journal of Algebra. 668. 390–419.
2.
Романьков, В. А., Alexander Ushakov, & Vladimir Shpilrain. (2023). Algebraic and quantum attacks on two digital signature schemes. Journal of Mathematical Cryptology. 17(1). 3 indexed citations
3.
Shpilrain, Vladimir, et al.. (2022). MAKE: A matrix action key exchange. SHILAP Revista de lepidopterología. 6 indexed citations
4.
Bassino, Frédérique, Ilya Kapovich, Markus Lohrey, et al.. (2020). Complexity and Randomness in Group Theory. HAL (Le Centre pour la Communication Scientifique Directe). 6 indexed citations
5.
Grigoriev, Dima & Vladimir Shpilrain. (2010). Authentication schemes from actions on graphs, groups, or rings. Annals of Pure and Applied Logic. 162(3). 194–200. 5 indexed citations
6.
Shpilrain, Vladimir, et al.. (2009). Using Decision Problems in Public Key Cryptography. 1(1). 5 indexed citations
7.
Myasnikov, Alexei, Vladimir Shpilrain, & Alexander Ushakov. (2008). Group-based Cryptography. CERN Document Server (European Organization for Nuclear Research). 35 indexed citations
8.
Kapovich, Ilya, Igor Rivin, Paul E. Schupp, & Vladimir Shpilrain. (2007). Densities in free groups and $\mathbb{Z}^k$, Visible Points and Test Elements. Mathematical Research Letters. 14(2). 263–284. 8 indexed citations
9.
Makar-Limanov, Leonid, et al.. (2004). The stable equivalence and cancellation problems. Commentarii Mathematici Helvetici. 79(2). 341–349. 8 indexed citations
10.
Kapovich, Ilya, Alexei Myasnikov, Paul E. Schupp, & Vladimir Shpilrain. (2004). Average-case complexity and decision problems in group theory. Advances in Mathematics. 190(2). 343–359. 28 indexed citations
11.
Kapovich, Ilya, Paul E. Schupp, & Vladimir Shpilrain. (2003). Generic properties of Whitehead's Algorithm, stabilizers in Aut(F k ) and one-relator groups. arXiv (Cornell University). 3 indexed citations
12.
Gilman, Robert H., Vladimir Shpilrain, & Alexei Myasnikov. (2002). Computational and statistical group theory : AMS Special Session Geometric Group Theory, April 21-22, 2001, Las Vegas, Nevada : AMS Special Session Computational Group Theory, April 28-29, 2001, Hoboken, New Jersey. American Mathematical Society eBooks. 1 indexed citations
13.
Shpilrain, Vladimir & Jie-Tai Yu. (2002). Affine Varieties with Equivalent Cylinders. Journal of Algebra. 251(1). 295–307. 15 indexed citations
14.
Shpilrain, Vladimir & Jie-Tai Yu. (1999). Embeddings of Curves in the Plane. Journal of Algebra. 217(2). 668–678. 9 indexed citations
15.
Shpilrain, Vladimir & Jie-Tai Yu. (1998). On generators of polynomial algebras in two commuting or non-commuting variables. Journal of Pure and Applied Algebra. 132(3). 309–315. 11 indexed citations
16.
Shpilrain, Vladimir & Jie-Tai Yu. (1997). Polynomial Automorphisms and Gröbner Reductions. Journal of Algebra. 197(2). 546–558. 20 indexed citations
17.
Shpilrain, Vladimir. (1995). On the rank of an element of a free Lie algebra. Proceedings of the American Mathematical Society. 123(5). 1303–1307. 13 indexed citations
18.
Shpilrain, Vladimir. (1995). Test elements for endomorphisms of free groups and algebras. Israel Journal of Mathematics. 92(1-3). 307–316. 14 indexed citations
19.
Shpilrain, Vladimir. (1995). On monomorphisms of free groups. Archiv der Mathematik. 64(6). 465–470. 4 indexed citations
20.
Moriah, Yoav & Vladimir Shpilrain. (1993). Non-tame automorphisms of extensions of periodic groups. Israel Journal of Mathematics. 84(1-2). 17–31. 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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