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Tabachnikov, Sergei L'vovich
E-mail:
Website: http://www.math.psu.edu/tabachni/

https://www.mathnet.ru/eng/person20429
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/203482

Publications in Math-Net.Ru Citations
2025
1. Serge Tabachnikov, “On cusps of caustics by reflection in two dimensional projective Finsler metrics”, Theor. Appl. Mech., 52:1 (2025),  75–86  mathnet
2023
2. Serge Tabachnikov, “Iterating skew evolutes and skew involutes: a linear analog of bicycle kinematics”, Mosc. Math. J., 23:4 (2023),  625–640  mathnet
2022
3. Serge Tabachnikov, “Remarks on Rigidity Properties of Conics”, Regul. Chaotic Dyn., 27:1 (2022),  18–23  mathnet  mathscinet  isi  scopus
2020
4. Serge Tabachnikov, “Two Variations on the Periscope Theorem”, Regul. Chaotic Dyn., 25:1 (2020),  11–17  mathnet  isi  scopus 2
5. Alice Fialowski, Ekaterina Fuchs, Elena Fuchs, Boris Khesin, Alexandre Kirillov, Fedor Malikov, Valentin Ovsienko, Alexei Sossinsky, Serge Tabachnikov, “On the 80th Birthday of Dmitry Borisovich Fuchs”, SIGMA, 16 (2020), 023, 17 pp.  mathnet  isi  scopus
6. Pavle V. M. Blagojević, Michael Harrison, S. Tabachnikov, Günter M. Ziegler, “Counting Periodic Trajectories of Finsler Billiards”, SIGMA, 16 (2020), 022, 33 pp.  mathnet  isi  scopus 1
2019
7. Boris Khesin, Serge Tabachnikov, “Fun Problems in Geometry and Beyond”, SIGMA, 15 (2019), 097, 21 pp.  mathnet  isi  scopus 2
2017
8. Alexander Plakhov, Serge Tabachnikov, Dmitry Treschev, “Billiard transformations of parallel flows: A periscope theorem”, J. Geom. Phys., 115:5 (2017),  157–166  mathnet  mathscinet  isi  scopus 9
9. Dmitry Fuchs, Serge Tabachnikov, “Iterating evolutes of spacial polygons and of spacial curves”, Mosc. Math. J., 17:4 (2017),  667–689  mathnet  isi 2
2013
10. Dmitry Fuchs, Serge Tabachnikov, “Periodic trajectories in the regular pentagon, II”, Mosc. Math. J., 13:1 (2013),  19–32  mathnet  mathscinet  isi
2011
11. Diana Davis, Dmitry Fuchs, Serge Tabachnikov, “Periodic trajectories in the regular pentagon”, Mosc. Math. J., 11:3 (2011),  439–461  mathnet  mathscinet  isi 6
2008
12. S. L. Tabachnikov, D. B. Fuchs, “Двадцать семь прямых”, Mat. Pros., Ser. 3, 12 (2008),  145–160  mathnet
2007
13. S. L. Tabachnikov, V. Yu. Ovsienko, “Hyperbolic Carathéodory Conjecture”, Trudy Mat. Inst. Steklova, 258 (2007),  185–200  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 258 (2007), 178–193  scopus 5
2006
14. E. A. Gutkin, S. L. Tabachnikov, “Complexity of piecewise convex transformations in two dimensions, with applications to polygonal billiards on surfaces of constant curvature”, Mosc. Math. J., 6:4 (2006),  673–701  mathnet  mathscinet  zmath  isi 12
2003
15. S. L. Tabachnikov, “On skew loops, skew branes and quadratic hypersurfaces”, Mosc. Math. J., 3:2 (2003),  681–690  mathnet  mathscinet  zmath  isi 10
16. F. Dogru, S. Tabachnikov, “On Polygonal Dual Billiard in the Hyperbolic Plane”, Regul. Chaotic Dyn., 8:1 (2003),  67–81  mathnet  mathscinet  zmath 7
2002
17. S. L. Tabachnikov, “Ellipsoids, complete integrability and hyperbolic geometry”, Mosc. Math. J., 2:1 (2002),  183–196  mathnet  mathscinet  zmath  isi  elib 19
2001
18. S. L. Tabachnikov, “Внешний биллиард”, Mat. Pros., Ser. 3, 5 (2001),  125–135  mathnet 1
1997
19. S. L. Tabachnikov, “On Functions with Zero Mean over a Finite Group”, Funktsional. Anal. i Prilozhen., 31:1 (1997),  93–94  mathnet  mathscinet  zmath; Funct. Anal. Appl., 31:1 (1997), 73–74  isi 4
1993
20. S. L. Tabachnikov, “Dual billiards”, Uspekhi Mat. Nauk, 48:6(294) (1993),  75–102  mathnet  mathscinet  zmath; Russian Math. Surveys, 48:6 (1993), 81–109  isi 28
1990
21. S. L. Tabachnikov, “Two remarks on the asymptotic Hopf invariant”, Funktsional. Anal. i Prilozhen., 24:1 (1990),  84–85  mathnet  mathscinet  zmath; Funct. Anal. Appl., 24:1 (1990), 74–75  isi 10
22. S. L. Tabachnikov, “Around four vertices”, Uspekhi Mat. Nauk, 45:1(271) (1990),  191–192  mathnet  mathscinet  zmath; Russian Math. Surveys, 45:1 (1990), 229–230  isi 17
1989
23. S. L. Tabachnikov, “Characteristic classes of Lagrangian foliations”, Funktsional. Anal. i Prilozhen., 23:2 (1989),  90–91  mathnet  mathscinet  zmath; Funct. Anal. Appl., 23:2 (1989), 162–163  isi 2
1988
24. S. L. Tabachnikov, “Computation of the Bennequin invariant of a Legendre curve from the geometry of its front”, Funktsional. Anal. i Prilozhen., 22:3 (1988),  89–90  mathnet  mathscinet  zmath; Funct. Anal. Appl., 22:3 (1988), 246–248  isi 6
25. S. L. Tabachnikov, “An invariant of a submanifold transversal to a distribution”, Uspekhi Mat. Nauk, 43:3(261) (1988),  193–194  mathnet  mathscinet  zmath; Russian Math. Surveys, 43:3 (1988), 225–226  isi 1
1986
26. S. L. Tabachnikov, “Characteristic classes of parabolic fiberings of the series $B$, $C$, and $D$, and the degrees of isotropic Grassmanians”, Funktsional. Anal. i Prilozhen., 20:2 (1986),  84–85  mathnet  mathscinet  zmath; Funct. Anal. Appl., 20:2 (1986), 158–160  isi
1985
27. S. L. Tabachnikov, “Characteristic classes of Grassmanian bundles”, Funktsional. Anal. i Prilozhen., 19:1 (1985),  83–84  mathnet  mathscinet  zmath; Funct. Anal. Appl., 19:1 (1985), 71–72  isi 5
1984
28. S. L. Tabachnikov, “General position homology of the Lie algebra of vector fields on the line”, Dokl. Akad. Nauk SSSR, 275:2 (1984),  310–313  mathnet  mathscinet  zmath
29. S. L. Tabachnikov, “On characteristic classes of homogeneous foliations”, Uspekhi Mat. Nauk, 39:2(236) (1984),  189–190  mathnet  mathscinet  zmath; Russian Math. Surveys, 39:2 (1984), 203–204  isi 2
1982
30. S. L. Tabachnikov, “Invariant differential operators of general position”, Funktsional. Anal. i Prilozhen., 16:3 (1982),  86–87  mathnet  mathscinet  zmath; Funct. Anal. Appl., 16:3 (1982), 231–232  isi 1
2011
31. S. Tabachnikov, D. Fuchs, “Невозможные замощения”, Kvant, 2011, no. 2,  19–26  mathnet
2010
32. B. Khesin, S. Tabachnikov, “Contact complete integrability”, Regul. Chaotic Dyn., 15:4-5 (2010),  504–520  mathnet  mathscinet  zmath 18
2009
33. S. Tabachnikov, V. Timorin, “Прямая Сильвестра (окончание)”, Kvant, 2009, no. 6,  6–9  mathnet 1
34. S. Tabachnikov, V. Timorin, “Прямая Сильвестра”, Kvant, 2009, no. 5,  2–6  mathnet

Presentations in Math-Net.Ru
1. Cusps of caustics by reflection, results and conjectures
S. L. Tabachnikov
Regular and Chaotic Dynamics. On the 30th Anniversary of the Journal Regular and Chaotic Dynamics
October 28, 2025 10:35
2. Аспекты «велосипедной математики»
S. L. Tabachnikov
Summer School “Contemporary Mathematics” Named After Vitaly Arnold, 2023
July 26, 2023 17:15   
3. Cusps of caustics by reflection and Legendrian knots
S. L. Tabachnikov
Regular and Chaotic Dynamics
December 1, 2021 15:20   
4. Flavors of bicycle mathematics
S. L. Tabachnikov
Mathematical Colloquium of the Bauman Moscow State Technical University
March 4, 2021 17:30
5. Flavors of bicycle mathematics
S. L. Tabachnikov
Dynamical Systems and PDEs
October 28, 2020 18:00   

Organisations