A. M. Vershik

5.3k total citations
172 papers, 2.7k citations indexed

About

A. M. Vershik is a scholar working on Mathematical Physics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, A. M. Vershik has authored 172 papers receiving a total of 2.7k indexed citations (citations by other indexed papers that have themselves been cited), including 111 papers in Mathematical Physics, 68 papers in Geometry and Topology and 36 papers in Algebra and Number Theory. Recurrent topics in A. M. Vershik's work include Advanced Algebra and Geometry (35 papers), Advanced Operator Algebra Research (32 papers) and Advanced Topics in Algebra (32 papers). A. M. Vershik is often cited by papers focused on Advanced Algebra and Geometry (35 papers), Advanced Operator Algebra Research (32 papers) and Advanced Topics in Algebra (32 papers). A. M. Vershik collaborates with scholars based in Russia, United States and France. A. M. Vershik's co-authors include S. V. Kerov, Andreĭ Okounkov, Н. В. Цилевич, M. V. Saveliev, М. И. Граев, Nikita Sidorov, Fedor Petrov, Sergei Nechaev, I. M. Gel'fand and Richard Kenyon and has published in prestigious journals such as Communications in Mathematical Physics, Physics Letters A and Lecture notes in mathematics.

In The Last Decade

A. M. Vershik

153 papers receiving 2.2k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
A. M. Vershik Russia	28	1.5k	962	601	484	478	172	2.7k
Yitzhak Katznelson United States	21	1.5k 1.0×	796 0.8×	411 0.7×	258 0.5×	650 1.4×	63	3.1k
Pierre van Moerbeke United States	32	1.0k 0.7×	1.4k 1.4×	335 0.6×	524 1.1×	312 0.7×	80	3.3k
Oded Schramm United States	35	2.9k 1.9×	1.1k 1.1×	290 0.5×	1.3k 2.7×	630 1.3×	83	4.2k
Gérald Tenenbaum France	23	624 0.4×	617 0.6×	539 0.9×	177 0.4×	276 0.6×	129	2.2k
Vitali Milman Israel	30	1.0k 0.7×	1.1k 1.1×	311 0.5×	519 1.1×	765 1.6×	115	3.4k
V. S. Varadarajan United States	23	1.8k 1.1×	1.2k 1.2×	205 0.3×	89 0.2×	690 1.4×	81	3.5k
Ralph S. Phillips United States	32	2.1k 1.4×	932 1.0×	343 0.6×	190 0.4×	1.2k 2.5×	91	4.2k
Mark Adler United States	30	797 0.5×	1.4k 1.5×	306 0.5×	462 1.0×	178 0.4×	68	2.7k
Shmuel Friedland United States	30	641 0.4×	919 1.0×	290 0.5×	168 0.3×	1.7k 3.5×	198	3.5k
Ira M. Gessel United States	28	584 0.4×	735 0.8×	1.8k 3.0×	285 0.6×	514 1.1×	92	2.6k

Countries citing papers authored by A. M. Vershik

Since Specialization

Citations

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

Fields of papers citing papers by A. M. Vershik

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by A. M. Vershik. 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 A. M. Vershik. The network helps show where A. M. Vershik may publish in the future.

Co-authorship network of co-authors of A. M. Vershik

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

Vershik, A. M.. (2013). Between "very large" and "infinite" : The asymptotic representation theory.

Troitsky, Evgenij & A. M. Vershik. (2012). Twisted Burnside theorem for type II1 groups: an example. 6 indexed citations

Myasnikov, Alexei, В. А. Романьков, Alexander Ushakov, & A. M. Vershik. (2010). The word and geodesic problems in free solvable groups. Transactions of the American Mathematical Society. 362(9). 4655–4682. 20 indexed citations

Vershik, A. M.. (2010). Boundedness of the scaling sequences of the automorphisms with discrete spectrum. arXiv (Cornell University). 1 indexed citations

Vershik, A. M., et al.. (2008). Boundaries of braid groups and the Markov-Ivanovsky normal form. Izvestiya Mathematics. 72(6). 1161–1186. 2 indexed citations

Vershik, A. M.. (2008). Globalization of the partial isometries of metric spaces and local approximation of the group of isometries of Urysohn space. Topology and its Applications. 155(14). 1618–1626. 16 indexed citations

Vershik, A. M.. (2008). Invariant measures for the continual Cartan subgroup. Journal of Functional Analysis. 255(9). 2661–2682. 8 indexed citations

Vershik, A. M. & М. И. Граев. (2006). Structure of the complementary series and special representations of the groups O ( n ,1) and U ( n ,1). Russian Mathematical Surveys. 61(5). 799–884. 11 indexed citations

Цилевич, Н. В. & A. M. Vershik. (2006). On different models of representations of the infinite symmetric group. Advances in Applied Mathematics. 37(4). 526–540. 8 indexed citations

10.

Cameron, Peter J‎. & A. M. Vershik. (2006). Some isometry groups of the Urysohn space. Annals of Pure and Applied Logic. 143(1-3). 70–78. 20 indexed citations

11.

Vershik, A. M. & Н. В. Цилевич. (2003). Fock factorizations, and decompositions of the L ² spaces over general Lévy processes. Russian Mathematical Surveys. 58(3). 427–472. 18 indexed citations

12.

Turaev, Vladimir & A. M. Vershik. (2001). Topology, Ergodic Theory, Real Algebraic Geometry. 28 indexed citations

13.

Цилевич, Н. В., A. M. Vershik, & Marc Yor. (2001). An Infinite-Dimensional Analogue of the Lebesgue Measure and Distinguished Properties of the Gamma Process. Journal of Functional Analysis. 185(1). 274–296. 55 indexed citations

14.

Barvinok, Alexander & A. M. Vershik. (1988). Convex hulls of orbits of representations of finite groups and combinatorial optimization. Functional Analysis and Its Applications. 22(3). 224–225. 6 indexed citations

15.

Vershik, A. M., I. M. Gel'fand, & М. И. Граев. (1983). A commutative model of representation of the group of flows SL(2, R)X that is connected with a unipotent subgroup. Functional Analysis and Its Applications. 17(2). 137–139. 30 indexed citations

16.

Vershik, A. M.. (1978). THE ACTION OFPSL(2,Z) INR¹IS APPROXIMABLE. Russian Mathematical Surveys. 33(1). 221–222. 2 indexed citations

17.

Vershik, A. M., I. M. Gel'fand, & М. И. Граев. (1974). Irreducible representations of the group GX and cohomologifs. Functional Analysis and Its Applications. 8(2). 151–153. 28 indexed citations

18.

Vershik, A. M.. (1973). Four definitions of the scale of an automorphism. Functional Analysis and Its Applications. 7(3). 169–181. 14 indexed citations

19.

Vershik, A. M., et al.. (1972). Differential Geometry and Lagrangian Mechanics with Constraints.. Soviet physics. Doklady. 17. 34. 45 indexed citations

20.

Vershik, A. M.. (1968). Theorem on lacunary isomorphisms of monotonic sequences of partitions. Functional Analysis and Its Applications. 2(3). 200–203. 11 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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