Serge Tabachnikov

3.4k total citations
129 papers, 1.5k citations indexed

About

Serge Tabachnikov is a scholar working on Geometry and Topology, Mathematical Physics and Statistical and Nonlinear Physics. According to data from OpenAlex, Serge Tabachnikov has authored 129 papers receiving a total of 1.5k indexed citations (citations by other indexed papers that have themselves been cited), including 77 papers in Geometry and Topology, 46 papers in Mathematical Physics and 46 papers in Statistical and Nonlinear Physics. Recurrent topics in Serge Tabachnikov's work include Mathematical Dynamics and Fractals (35 papers), Mathematics and Applications (31 papers) and Quantum chaos and dynamical systems (29 papers). Serge Tabachnikov is often cited by papers focused on Mathematical Dynamics and Fractals (35 papers), Mathematics and Applications (31 papers) and Quantum chaos and dynamical systems (29 papers). Serge Tabachnikov collaborates with scholars based in United States, France and Germany. Serge Tabachnikov's co-authors include Valentin Ovsienko, Dmitry Fuchs, Howard Masur, Richard Evan Schwartz, Boris Khesin, Mark Levi, Michael Färber, Eugène Gutkin, Sergey Yuzvinsky and Alek Vainshtein and has published in prestigious journals such as Communications in Mathematical Physics, Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences and American Mathematical Monthly.

In The Last Decade

Serge Tabachnikov

112 papers receiving 1.4k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Serge Tabachnikov United States	21	908	746	643	286	159	129	1.5k
Alexander I. Bobenko Germany	25	671 0.7×	276 0.4×	775 1.2×	409 1.4×	183 1.2×	61	2.1k
J. W. Bruce United Kingdom	20	941 1.0×	325 0.4×	177 0.3×	684 2.4×	273 1.7×	91	1.9k
John J. Millson United States	20	1.1k 1.2×	968 1.3×	147 0.2×	204 0.7×	50 0.3×	61	1.4k
Wilhelm Klingenberg Germany	23	1.2k 1.4×	701 0.9×	220 0.3×	1.3k 4.6×	268 1.7×	90	2.5k
Theodore Frankel United States	11	427 0.5×	234 0.3×	225 0.3×	380 1.3×	100 0.6×	17	1.3k
Manuel de León Spain	27	711 0.8×	758 1.0×	860 1.3×	261 0.9×	93 0.6×	200	2.4k
Grant Cairns Australia	13	408 0.4×	637 0.9×	448 0.7×	166 0.6×	197 1.2×	60	1.1k
Christopher B. Croke United States	20	737 0.8×	514 0.7×	77 0.1×	774 2.7×	204 1.3×	57	1.4k
Abraham A. Ungar United States	22	1.1k 1.2×	123 0.2×	212 0.3×	321 1.1×	80 0.5×	115	1.7k
Dmitri Burago United States	12	969 1.1×	582 0.8×	178 0.3×	942 3.3×	401 2.5×	32	1.7k

Countries citing papers authored by Serge Tabachnikov

Since Specialization

Citations

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

Fields of papers citing papers by Serge Tabachnikov

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Serge Tabachnikov

This figure shows the co-authorship network connecting the top 25 collaborators of Serge Tabachnikov. A scholar is included among the top collaborators of Serge Tabachnikov 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 Serge Tabachnikov. Serge Tabachnikov is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Albers, Peter, et al.. (2025). Polygonal symplectic billiards. 1(1). 1–22.

Tabachnikov, Serge, et al.. (2024). Investigation of the Influence of Boundary Conditions on the Deformability of a Model of Soil Base of limited Width in The Form of a Linearly Deformable Elastic Half-Plane. IOP Conference Series Earth and Environmental Science. 1376(1). 12017–12017.

Fuchs, Dmitry, et al.. (2023). Differential Geometry of Space Curves: Forgotten Chapters. The Mathematical Intelligencer. 46(1). 9–21. 2 indexed citations

Tabachnikov, Serge. (2023). Iterating Skew Evolutes and Skew Involutes: a Linear Analog of Bicycle Kinematics. Moscow Mathematical Journal. 23(4). 625–640.

Khesin, Boris & Serge Tabachnikov. (2019). Fun Problems in Geometry and Beyond. Symmetry Integrability and Geometry Methods and Applications. 1 indexed citations

Tabachnikov, Serge, et al.. (2016). The Six Circles Theorem Revisited. American Mathematical Monthly. 123(7). 689–698.

Plakhov, Alexander, Serge Tabachnikov, & Dmitry Treschev. (2016). Billiard transformations of parallel flows: A periscope theorem. Journal of Geometry and Physics. 115. 157–166. 7 indexed citations

Tabachnikov, Serge. (2012). The (Un)equal Tangents Problem. American Mathematical Monthly. 119(5). 398–405. 4 indexed citations

Belyaev, Alexander, Boris Khesin, & Serge Tabachnikov. (2011). Discrete spherical means of directional derivatives and Veronese maps. Journal of Geometry and Physics. 62(1). 124–136.

10.

Tabachnikov, Serge & Boris Khesin. (2010). Contact complete integrability. MPG.PuRe (Max Planck Society). 8 indexed citations

11.

Levi, Mark & Serge Tabachnikov. (2007). The Poncelet Grid and Billiards in Ellipses. American Mathematical Monthly. 114(10). 895–908. 18 indexed citations

12.

Tabachnikov, Serge, et al.. (2006). Non-existence of $n$-dimensional $T$-embedded discs in $\mathbb R^{2n}$. Commentarii Mathematici Helvetici. 81(4). 877–882. 4 indexed citations

13.

Tabachnikov, Serge, et al.. (2003). ON POLYGONAL DUAL BILLIARD IN THE HYPERBOLIC PLANE. Regular and Chaotic Dynamics. 8(1). 67–81. 5 indexed citations

14.

Tabachnikov, Serge. (1999). Kvant Selecta: Algebra and Analysis, I. 3 indexed citations

15.

Tabachnikov, Serge. (1999). Differential and Symplectic Topology of Knots and Curves. 5 indexed citations

16.

Tabachnikov, Serge. (1999). Kvant Selecta: Algebra and Analysis, II. 2 indexed citations

17.

Fuchs, Dmitry & Serge Tabachnikov. (1997). Invariants of Legendrian and transverse knots in the standard contact space. Topology. 36(5). 1025–1053. 71 indexed citations

18.

Tabachnikov, Serge. (1995). On the Dual Billiard Problem. Advances in Mathematics. 115(2). 221–249. 45 indexed citations

19.

Tabachnikov, Serge. (1989). Characteristic classes of Lagrangian foliations. Functional Analysis and Its Applications. 23(2). 162–163. 3 indexed citations

20.

Tabachnikov, Serge. (1988). Computation of the Bennequin invariant of a Legendre curve from the geometry of its front. Functional Analysis and Its Applications. 22(3). 246–248. 5 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