Oleg Viro

3.3k total citations · 1 hit paper
25 papers, 1.2k citations indexed

About

Oleg Viro is a scholar working on Geometry and Topology, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Oleg Viro has authored 25 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Geometry and Topology, 9 papers in Computational Theory and Mathematics and 7 papers in Mathematical Physics. Recurrent topics in Oleg Viro's work include Geometric and Algebraic Topology (9 papers), Polynomial and algebraic computation (7 papers) and Algebraic Geometry and Number Theory (6 papers). Oleg Viro is often cited by papers focused on Geometric and Algebraic Topology (9 papers), Polynomial and algebraic computation (7 papers) and Algebraic Geometry and Number Theory (6 papers). Oleg Viro collaborates with scholars based in Russia, United States and Sweden. Oleg Viro's co-authors include Vladimir G. Turaev, Michael Polyak, Ilia Itenberg, Viatcheslav Kharlamov, O. V. Ivanov, Matthias Kreck, A. M. Vershik, Yakov G. Sinai, Vladimir I. Arnold and Анатолий Моисеевич Вершик and has published in prestigious journals such as Bulletin of the American Mathematical Society, Russian Mathematical Surveys and Topology.

In The Last Decade

Oleg Viro

20 papers receiving 1.0k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

State sum invariants of 3-manifolds and quantum 6j-symbols

1992 551 citations Vladimir G. Turaev, Oleg Viro Topology profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Oleg Viro Russia	12	876	598	333	224	212	25	1.2k
David N. Yetter United States	15	994 1.1×	737 1.2×	319 1.0×	146 0.7×	313 1.5×	38	1.4k
Ravi Vakil United States	14	834 1.0×	474 0.8×	202 0.6×	359 1.6×	186 0.9×	41	1.2k
Rinat Kashaev Russia	18	977 1.1×	463 0.8×	208 0.6×	310 1.4×	68 0.3×	52	1.2k
Bertrand Eynard France	15	454 0.5×	380 0.6×	149 0.4×	322 1.4×	112 0.5×	25	914
Robert Penner United States	21	1.2k 1.3×	935 1.6×	252 0.8×	150 0.7×	241 1.1×	76	1.7k
Miles Reid United Kingdom	20	1.1k 1.3×	603 1.0×	149 0.4×	135 0.6×	205 1.0×	34	1.4k
Leonid Chekhov Russia	15	421 0.5×	359 0.6×	117 0.4×	234 1.0×	82 0.4×	68	753
Kazuhiko Aomoto Japan	16	406 0.5×	302 0.5×	178 0.5×	116 0.5×	186 0.9×	69	884
Sóstenes Lins Brazil	11	347 0.4×	226 0.4×	153 0.5×	111 0.5×	178 0.8×	27	640
Alexander Postnikov United States	21	834 1.0×	461 0.8×	928 2.8×	227 1.0×	273 1.3×	46	1.5k

Countries citing papers authored by Oleg Viro

Since Specialization

Citations

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

Fields of papers citing papers by Oleg Viro

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Oleg Viro

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

1.

Viro, Oleg. (2015). Space of Smooth 1-Knots in a 4-Manifold: Is Its Algebraic Topology Sensitive to Smooth Structures?. 1(1). 83–89. 2 indexed citations

2.

Viro, Oleg. (2011). On basic concepts of tropical geometry. Proceedings of the Steklov Institute of Mathematics. 273(1). 252–282. 32 indexed citations

3.

Viro, Oleg. (2010). Multifields for Tropical Geometry I. Multifields and dequantization. arXiv (Cornell University).

4.

Viro, Oleg. (2009). TWISTED ACYCLICITY OF A CIRCLE AND SIGNATURES OF A LINK. Journal of Knot Theory and Its Ramifications. 18(6). 729–755. 9 indexed citations

5.

Viro, Oleg, et al.. (2008). Elementary Topology: Problem Textbook. CERN Document Server (European Organization for Nuclear Research). 11 indexed citations

6.

Viro, Oleg. (2008). From the sixteenth Hilbert problem to tropical geometry. Japanese journal of mathematics. 3(2). 185–214. 22 indexed citations

7.

Viro, Oleg. (2007). Quantum relatives of the Alexander polynomial. St Petersburg Mathematical Journal. 18(3). 391–458. 23 indexed citations

8.

Viro, Oleg. (2006). Whitney Number of Closed Real Algebraic Affine Curve of Type I. Moscow Mathematical Journal. 6(1). 211–217.

9.

Viro, Oleg & S. Yu. Orevkov. (2001). Congruence mod 8 for real algebraic curves of degree 9. Russian Mathematical Surveys. 56(4). 770–771.

10.

Polyak, Michael, et al.. (2000). Finite-type invariants of classical and virtual knots. Topology. 39(5). 1045–1068. 231 indexed citations

11.

Itenberg, Ilia & Oleg Viro. (1996). Patchworking algebraic curves disproves the ragsdale conjecture. The Mathematical Intelligencer. 18(4). 19–28. 39 indexed citations

12.

Polyak, Michael & Oleg Viro. (1994). . International Mathematics Research Notices. 1994(11). 445–445. 110 indexed citations

13.

Turaev, Vladimir G. & Oleg Viro. (1992). State sum invariants of 3-manifolds and quantum 6j-symbols. Topology. 31(4). 865–902. 551 indexed citations breakdown →

14.

Kreck, Matthias, et al.. (1987). Exotic knottings of surfaces in the 4-sphere. Bulletin of the American Mathematical Society. 17(2). 287–290. 7 indexed citations

15.

Arnold, Vladimir I., Анатолий Моисеевич Вершик, Oleg Viro, et al.. (1986). Vladimir Abramovich Rokhlin (obituary). Russian Mathematical Surveys. 41(3). 189–195. 1 indexed citations

16.

Viro, Oleg. (1986). Progress in the topology of real algebraic varieties over the last six years. Russian Mathematical Surveys. 41(3). 55–82. 48 indexed citations

17.

Viro, Oleg. (1984). REAL PLANE CURVES OF DEGREES 7 AND 8: NEW PROHIBITIONS. Mathematics of the USSR-Izvestiya. 23(2). 409–422. 11 indexed citations

18.

Viro, Oleg. (1984). Signature of a branched covering. Mathematical Notes. 36(4). 772–776. 4 indexed citations

19.

Viro, Oleg. (1979). Nonprojecting isotopies and knots with homeomorphic coverings. Journal of Mathematical Sciences. 12(1). 86–96. 11 indexed citations

20.

Viro, Oleg. (1977). Two-sheeted branched coverings of a three-dimensional sphere. Journal of Mathematical Sciences. 8(5). 531–553. 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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