Ivan Dynnikov

1.0k total citations
52 papers, 447 citations indexed

About

Ivan Dynnikov is a scholar working on Geometry and Topology, Mathematical Physics and Statistical and Nonlinear Physics. According to data from OpenAlex, Ivan Dynnikov has authored 52 papers receiving a total of 447 indexed citations (citations by other indexed papers that have themselves been cited), including 25 papers in Geometry and Topology, 23 papers in Mathematical Physics and 17 papers in Statistical and Nonlinear Physics. Recurrent topics in Ivan Dynnikov's work include Geometric and Algebraic Topology (18 papers), Advanced Combinatorial Mathematics (12 papers) and Homotopy and Cohomology in Algebraic Topology (11 papers). Ivan Dynnikov is often cited by papers focused on Geometric and Algebraic Topology (18 papers), Advanced Combinatorial Mathematics (12 papers) and Homotopy and Cohomology in Algebraic Topology (11 papers). Ivan Dynnikov collaborates with scholars based in Russia, France and Italy. Ivan Dynnikov's co-authors include S P Novikov, Bert Wiest, Сергей Петрович Новиков, Dale Rolfsen, Patrick Dehornoy, R. De Leo, A. Ya. Maltsev, Pascal Hubert, А. П. Веселов and Konrad Polthier and has published in prestigious journals such as Journal of Algebra, Russian Mathematical Surveys and International Mathematics Research Notices.

In The Last Decade

Ivan Dynnikov

42 papers receiving 368 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Ivan Dynnikov Russia	13	202	179	167	95	68	52	447
Takashi Tsuboi Japan	13	216 1.1×	249 1.4×	29 0.2×	48 0.5×	121 1.8×	44	475
Jean-Marc Gambaudo France	12	243 1.2×	212 1.2×	140 0.8×	61 0.6×	19 0.3×	25	393
Victor Bangert Germany	17	249 1.2×	401 2.2×	127 0.8×	112 1.2×	12 0.2×	37	723
Andreas Knauf Germany	13	169 0.8×	65 0.4×	267 1.6×	23 0.2×	47 0.7×	34	396
Gerald W. Schwarz United States	13	575 2.8×	612 3.4×	148 0.9×	49 0.5×	5 0.1×	45	902
Edwin Ihrig United States	11	28 0.1×	84 0.5×	72 0.4×	42 0.4×	12 0.2×	36	321
Peter Stollmann Germany	15	688 3.4×	86 0.5×	194 1.2×	361 3.8×	24 0.4×	48	840
Arghir Zarnescu Romania	16	131 0.6×	165 0.9×	115 0.7×	68 0.7×	72 1.1×	43	624
Victor Mikhaylov Russia	12	244 1.2×	49 0.3×	95 0.6×	135 1.4×	5 0.1×	54	407
Steven Rayan Canada	6	45 0.2×	70 0.4×	95 0.6×	16 0.2×	26 0.4×	16	242

Countries citing papers authored by Ivan Dynnikov

Since Specialization

Citations

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

Fields of papers citing papers by Ivan Dynnikov

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Ivan Dynnikov

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

Dynnikov, Ivan, et al.. (2023). Distinguishing Legendrian knots with trivial orientation-preserving symmetry group. Algebraic & Geometric Topology. 23(4). 1849–1889.

Dynnikov, Ivan, et al.. (2022). Geometry of quasiperiodic functions on the plane. Russian Mathematical Surveys. 77(6). 1061–1085. 2 indexed citations

Novikov, S P, R. De Leo, Ivan Dynnikov, & A. Ya. Maltsev. (2019). Theory of Dynamical Systems and Transport Phenomena in Normal Metals. Journal of Experimental and Theoretical Physics. 129(4). 710–721. 6 indexed citations

Dynnikov, Ivan, et al.. (2018). Об эквивалентности лежандровых узлов. Успехи математических наук. 73(6(444)). 195–196. 1 indexed citations

Dynnikov, Ivan, et al.. (2018). On equivalence of Legendrian knots. Russian Mathematical Surveys. 73(6). 1125–1127.

Dehornoy, Patrick, Ivan Dynnikov, Dale Rolfsen, & Bert Wiest. (2008). Ordering Braids. Mathematical surveys and monographs. 19 indexed citations

Dynnikov, Ivan, et al.. (2008). Geometry of plane sections of the infinite regular skew polyhedron {4, 6 | 4}. Geometriae Dedicata. 138(1). 51–67. 22 indexed citations

Leo, R. De & Ivan Dynnikov. (2007). An example of a fractal set of plane directions having chaotic intersections with a fixed 3-periodic surface. Russian Mathematical Surveys. 62(5). 990–992. 12 indexed citations

Dynnikov, Ivan & Bert Wiest. (2007). On the complexity of braids. Journal of the European Mathematical Society. 9(4). 801–840. 24 indexed citations

10.

Leo, R. De & Ivan Dynnikov. (2007). Пример фрактального множества направлений плоскостей, дающих хаотическое пересечение с фиксированной 3-периодической поверхностью. Успехи математических наук. 62(5). 151–152. 3 indexed citations

11.

Dynnikov, Ivan & S P Novikov. (2005). Topology of quasi-periodic functions on the plane. Russian Mathematical Surveys. 60(1). 1–26. 17 indexed citations

12.

Dynnikov, Ivan & Сергей Петрович Новиков. (2005). Топология квазипериодических функций на плоскости. Успехи математических наук. 60(1). 3–28. 5 indexed citations

13.

Dynnikov, Ivan, et al.. (2002). Exactly soluble cyclic Darboux q -chains. Russian Mathematical Surveys. 57(6). 1218–1219. 3 indexed citations

14.

Dehornoy, Patrick, Ivan Dynnikov, Dale Rolfsen, & Bert Wiest. (2002). Why are braids orderable. 1–185. 35 indexed citations

15.

Dynnikov, Ivan. (2002). Об одном отображении Янга - Бакстера и упорядочении Деорнуа. Успехи математических наук. 57(3). 151–152. 5 indexed citations

16.

Dynnikov, Ivan, et al.. (2002). A MATHEMATICAL WEBSERVICE FOR RECOGNIZING THE UNKNOT. 201–207. 1 indexed citations

17.

Dynnikov, Ivan. (2001). A New Way to Represent Links. One-Dimensional Formalism and Untangling Technology. Acta Applicandae Mathematicae. 69(3). 243–283. 6 indexed citations

18.

Dynnikov, Ivan. (1999). Трехстраничный подход в теории узлов. Кодирование и локальные движения. Функциональный анализ и его приложения. 33(4). 25–37. 10 indexed citations

19.

Novikov, S P & Ivan Dynnikov. (1997). Discrete spectral symmetries of low-dimensional differential operators and difference operators on regular lattices and two-dimensional manifolds. Russian Mathematical Surveys. 52(5). 1057–1116. 40 indexed citations

20.

Dynnikov, Ivan & А. П. Веселов. (1995). Integrable Gradient Flows and Morse Theory. 2 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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