1. 2021
  2. Vassiliev measures of complexity of open and closed curves in 3-space

    Panagiotou, E. & Kauffman, L. H., 1 Oct 2021, In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 477, 2254, 18 p., 20210440.

    Research output: Contribution to journalArticlepeer-review

  3. A spinning construction for virtual 1-knots and 2-knots, and the fiberwise and welded equivalence of virtual 1-knots

    Kauffman, L. H., Ogasa, E. & Schneider, J., 1 Sept 2021, In: Journal of Knot Theory and its Ramifications. 30, 10, 2140003.

    Research output: Contribution to journalArticlepeer-review

  4. Connected sum of virtual knots and F -polynomials

    Ivanov, M., 1 Sept 2021, In: Journal of Knot Theory and its Ramifications. 30, 10, 2140002.

    Research output: Contribution to journalArticlepeer-review

  5. Explicit volume formula for a hyperbolic tetrahedron in terms of edge lengths

    Abrosimov, N. & Vuong, B., 1 Sept 2021, In: Journal of Knot Theory and its Ramifications. 30, 10, 2140007.

    Research output: Contribution to journalArticlepeer-review

  6. Local-moves on knots and products of knots II

    Kauffman, L. H. & Ogasa, E., 1 Sept 2021, In: Journal of Knot Theory and its Ramifications. 30, 10, 2140006.

    Research output: Contribution to journalArticlepeer-review

  7. On hyperelliptic Euclidean 3-manifolds

    Mednykh, A. D. & Vuong, B., 1 Sept 2021, In: Journal of Knot Theory and its Ramifications. 30, 10, 21400015.

    Research output: Contribution to journalArticlepeer-review

  8. Iterants, majorana fermions and the majorana-dirac equation

    Kauffman, L. H., Aug 2021, In: Symmetry. 13, 8, 1373.

    Research output: Contribution to journalArticlepeer-review

  9. Khovanov-Lipshitz-Sarkar homotopy type for links in thickened higher genus surfaces

    Kauffman, L. H., Nikonov, I. M. & Ogasa, E., 1 Jul 2021, In: Journal of Knot Theory and its Ramifications. 30, 8, 2150052.

    Research output: Contribution to journalArticlepeer-review

  10. Some Remarks on High Degree Polynomial Integrals of the Magnetic Geodesic Flow on the Two-Dimensional Torus

    Agapov, S. V., Valyuzhenich, A. A. & Shubin, V. V., Jul 2021, In: Siberian Mathematical Journal. 62, 4, p. 581-585 5 p.

    Research output: Contribution to journalArticlepeer-review

  11. Volumes of two-bridge cone manifolds in spaces of constant curvature

    Mednykh, A. D., Jun 2021, In: Transformation Groups. 26, 2, p. 601-629 29 p.

    Research output: Contribution to journalArticlepeer-review

  12. Finite skew braces with solvable additive group

    Gorshkov, I. & Nasybullov, T., 15 May 2021, In: Journal of Algebra. 574, p. 172-183 12 p.

    Research output: Contribution to journalArticlepeer-review

  13. Multi-switches and virtual knot invariants

    Bardakov, V. & Nasybullov, T., 15 Apr 2021, In: Topology and its Applications. 293, 107552.

    Research output: Contribution to journalArticlepeer-review

  14. On the orbits associated with the Collatz conjecture

    Kauffman, L. H. & Lopes, P., 15 Apr 2021, In: Linear Algebra and Its Applications. 615, p. 143-154 12 p.

    Research output: Contribution to journalArticlepeer-review

  15. Z2 topological order and topological protection of majorana fermion qubits

    Haq, R. U. & Kauffman, L. H., Mar 2021, In: Condensed Matter. 6, 1, p. 1-22 22 p., 11.

    Research output: Contribution to journalArticlepeer-review

  16. Complexity of the circulant foliation over a graph

    Kwon, Y. S., Mednykh, A. D. & Mednykh, I. A., Feb 2021, In: Journal of Algebraic Combinatorics. 53, 1, p. 115-129 15 p.

    Research output: Contribution to journalArticlepeer-review

  17. 4th International Conference Groups and quandlcs in low-dimensional topology, Tomsk, July 5 - 8, 2021

    Abrosimov, N. V., Gorbounov, V. G., Nechaev, S. K., Singh, M. & Vesnin, A. Y., 2021, In: Siberian Electronic Mathematical Reports. 18, 2, p. 30-43 14 p.

    Research output: Contribution to journalArticlepeer-review

  18. Fixed points of cyclic groups acting purely harmonically on a graph

    Mednykh, A. D., 2021, In: Siberian Electronic Mathematical Reports. 18, 1, p. 617-621 5 p., 43.

    Research output: Contribution to journalArticlepeer-review

  19. Outer Billiards with the Dynamics of a Standard Shift on a Finite Number of Invariant Curves

    Bialy, M., Mironov, A. E. & Shalom, L., 2021, In: Experimental Mathematics. 30, 4, p. 469-474 6 p.

    Research output: Contribution to journalArticlepeer-review

  20. 2020
  21. Exterior and symmetric (co)homology of groups

    Bardakov, V. G., Neshchadim, M. V. & Singh, M., Dec 2020, In: International Journal of Algebra and Computation. 30, 8, p. 1577-1607 31 p.

    Research output: Contribution to journalArticlepeer-review

  22. Quasi-classical approximation for magnetic monopoles

    Kordyukov, Y. A. & Taimanov, I. A., Dec 2020, In: Russian Mathematical Surveys. 75, 6, p. 1067-1088 22 p.

    Research output: Contribution to journalArticlepeer-review

  23. The Spectral Density Function of the Renormalized Bochner Laplacian on a Symplectic Manifold

    Kordyukov, Y. A., Dec 2020, In: Journal of Mathematical Sciences (United States). 251, 5, p. 696-712 17 p.

    Research output: Contribution to journalArticlepeer-review

  24. Квазиклассическое приближение для магнитных монополей

    Кордюков, Ю. А. & Тайманов, И. А., Dec 2020, In: Успехи математических наук. 75, 6, p. 85-106 21 p.

    Research output: Contribution to journalArticlepeer-review

  25. On correlation of hyperbolic volumes of fullerenes with their properties

    Egorov, A. A. & Vesnin, A. Y., 28 Nov 2020, In: Computational and Mathematical Biophysics. 8, 1, p. 150-167 18 p.

    Research output: Contribution to journalArticlepeer-review

  26. The Polynomials of Prime Virtual Knots of Genus 1 and Complexity at Most 5

    Vesnin, A. Y. & Ivanov, M. E., Nov 2020, In: Siberian Mathematical Journal. 61, 6, p. 994-1001 8 p.

    Research output: Contribution to journalArticlepeer-review

  27. The enumeration of coverings of closed orientable Euclidean manifolds G3 and G5

    Chelnokov, G. & Mednykh, A., 15 Oct 2020, In: Journal of Algebra. 560, p. 48-66 19 p.

    Research output: Contribution to journalArticlepeer-review

  28. Black holes and topological surgery

    Antoniou, S., Kauffman, L. H. & Lambropoulou, S., 14 Sept 2020, In: Journal of Knot Theory and its Ramifications. 29, 10, 6 p., 2042010.

    Research output: Contribution to journalArticlepeer-review

  29. Discretization of Commuting Ordinary Differential Operators of Rank 2 in the Case of Elliptic Spectral Curves

    Mauleshova, G. S. & Mironov, A. E., Sept 2020, In: Proceedings of the Steklov Institute of Mathematics. 310, 1, p. 202-213 12 p.

    Research output: Contribution to journalArticlepeer-review

  30. Kirchhoff Index for Circulant Graphs and Its Asymptotics

    Mednykh, A. D. & Mednykh, I. A., Sept 2020, In: Doklady Mathematics. 102, 2, p. 392-395 4 p.

    Research output: Contribution to journalArticlepeer-review

  31. Lower Central Series of Baumslag–Solitar Groups

    Bardakov, V. G. & Neshchadim, M. V., Sept 2020, In: Algebra and Logic. 59, 4, p. 281-294 14 p.

    Research output: Contribution to journalArticlepeer-review

  32. Multi-Switches, Representations of Virtual Braids, and Invariants of Virtual Links

    Bardakov, V. G. & Nasybullov, T. R., Sept 2020, In: Algebra and Logic. 59, 4, p. 341-345 5 p.

    Research output: Contribution to journalArticlepeer-review

  33. On 3-strand singular pure braid group

    Bardakov, V. G. & Kozlovskaya, T. A., Sept 2020, In: Journal of Knot Theory and its Ramifications. 29, 10, 20 p., 2042001.

    Research output: Contribution to journalArticlepeer-review

  34. On virtual cabling and a structure of 4-strand virtual pure braid group

    Bardakov, V. G. & Wu, J., Sept 2020, In: Journal of Knot Theory and its Ramifications. 29, 10, 32 p., 2042002.

    Research output: Contribution to journalArticlepeer-review

  35. The sixth Russian-Chinese conference on knot theory and related topics

    Abrosimov, N., Cheng, Z., Kauffman, L. H., Vesnin, A. & Yang, Z., Sept 2020, In: Journal of Knot Theory and its Ramifications. 29, 10, 5 p., 2002001.

    Research output: Contribution to journalArticlepeer-review

  36. Knot polynomials of open and closed curves: Knot polynomials of open curves

    Panagiotou, E. & Kauffman, L. H., 1 Aug 2020, In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 476, 2240, 20 p., 20200124.

    Research output: Contribution to journalArticlepeer-review

  37. On the lower central series of some virtual knot groups

    Bardakov, V. G., Nanda, N. & Neshchadim, M. V., 1 Aug 2020, In: Journal of Knot Theory and its Ramifications. 29, 9, p. 5DUMNY 23 p., 2050065.

    Research output: Contribution to journalArticlepeer-review

  38. Wire billiards, the first steps

    Bialy, M., Mironov, A. E. & Tabachnikov, S., 15 Jul 2020, In: Advances in Mathematics. 368, 27 p., 107154.

    Research output: Contribution to journalArticlepeer-review

  39. On the coverings of closed orientable Euclidean manifolds G(2) and G(4)

    Chelnokov, G. & Mednykh, A., 2 Jul 2020, In: Communications in Algebra. 48, 7, p. 2725-2739 15 p.

    Research output: Contribution to journalArticlepeer-review

  40. Embeddings of quandles into groups

    Bardakov, V. & Nasybullov, T., 1 Jul 2020, In: Journal of Algebra and its Applications. 19, 7, 20 p., 2050136.

    Research output: Contribution to journalArticlepeer-review

  41. F-polynomials of tabulated virtual knots

    Ivanov, M. & Vesnin, A., 1 Jul 2020, In: Journal of Knot Theory and its Ramifications. 29, 8, 17 p., 2050054.

    Research output: Contribution to journalArticlepeer-review

  42. On First Integrals of Two-Dimensional Geodesic Flows

    Agapov, S. V., 1 Jul 2020, In: Siberian Mathematical Journal. 61, 4, p. 563-574 12 p.

    Research output: Contribution to journalArticlepeer-review

  43. Computing skew left braces of small orders

    Yadav, M. K., Bardakov, V. G. & Neshchadim, M. V., 1 Jun 2020, In: International Journal of Algebra and Computation. 30, 4, p. 839-851 13 p.

    Research output: Contribution to journalArticlepeer-review

  44. Stepwise transmission irregular graphs

    Dobrynin, A. A. & Sharafdini, R., 15 Apr 2020, In: Applied Mathematics and Computation. 371, 7 p., 124949.

    Research output: Contribution to journalArticlepeer-review

  45. Link quandles are residually finite

    Bardakov, V. G., Singh, M. & Singh, M., 1 Apr 2020, In: Monatshefte fur Mathematik. 191, 4, p. 679-690 12 p.

    Research output: Contribution to journalArticlepeer-review

  46. Wiener index of edge thorny graphs of catacondensed benzenoids

    Dobrynin, A. A. & Iranmanesh, A., 1 Apr 2020, In: Mathematics. 8, 4, 13 p., 467.

    Research output: Contribution to journalArticlepeer-review

  47. On Rationality of Generating Function for the Number of Spanning Trees in Circulant Graphs

    Mednykh, A. D. & Mednykh, I. A., 1 Mar 2020, In: Algebra Colloquium. 27, 1, p. 87-94 8 p.

    Research output: Contribution to journalArticlepeer-review

  48. Rational Integrals of a Natural Mechanical System on the 2-Torus

    Agapov, S. V., 1 Mar 2020, In: Siberian Mathematical Journal. 61, 2, p. 199-207 9 p.

    Research output: Contribution to journalArticlepeer-review

  49. The prevalence of persistent tangles

    Kauffman, L. H. & Lopes, P., 15 Feb 2020, In: Topology and its Applications. 271, 12 p., 107040.

    Research output: Contribution to journalArticlepeer-review

  50. Ideal right-angled polyhedra in Lobachevsky space

    Yurievich, V. A. & Alexandrovich, E. A., 1 Feb 2020, In: Chebyshevskii Sbornik. 21, 2, p. 65-83 19 p.

    Research output: Contribution to journalArticlepeer-review

  51. Labels instead of coefficients: A label bracket [•] L which dominates the Jones polynomial [•], the Kuperberg bracket [•] A 2, and the normalized arrow polynomial [•]

    Akimova, A. A. & Manturov, V. O., 1 Feb 2020, In: Journal of Knot Theory and its Ramifications. 29, 2, 23 p., 2040001.

    Research output: Contribution to journalArticlepeer-review

  52. On the structure of the critical group of a circulant graph with non-constant jumps

    Mednykh, A. D. & Mednykh, I. A., 1 Feb 2020, In: Russian Mathematical Surveys. 75, 1, p. 190-192 3 p., 5.

    Research output: Contribution to journalArticlepeer-review

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