1. 2023
  2. Quasi-Classical Approximation of Monopole Harmonics

    Kordyukov, Y. A. & Taimanov, I. A., Dec 2023, In: Mathematical Notes. 114, 5-6, p. 1277-1288 12 p.

    Research output: Contribution to journalArticlepeer-review

  3. Representations of flat virtual braids which do not preserve the forbidden relations

    Bardakov, V., Chuzhinov, B., Emel'yanenkov, I., Ivanov, M., Markhinina, E., Nasybullov, T., Panov, S., Singh, N., Vasyutkin, S., Yakhin, V. & Vesnin, A., Dec 2023, In: Journal of Knot Theory and its Ramifications. 32, 14, 2350093.

    Research output: Contribution to journalArticlepeer-review

  4. Orthogonal Curvilinear Coordinate Systems and Torsion-Free Sheaves over Reducible Spectral Curves

    Mironov, A. E., Senninger, A. & Taimanov, I. A., Oct 2023, In: Mathematical Notes. 114, 3-4, p. 573-582 10 p.

    Research output: Contribution to journalArticlepeer-review

  5. On Some Properties of Semi-Hamiltonian Systems Arising in the Problem of Integrable Geodesic Flows on the Two-Dimensional Torus

    Агапов, С. В. & Фахриддинов, Ж. Ш. У., Sept 2023, In: Siberian Mathematical Journal. 64, 5, p. 1063–1075 13 p.

    Research output: Contribution to journalArticlepeer-review

  6. One-Dimensional Finite-Gap Schrödinger Operators As a Limit of Commuting Difference Operators

    Mauleshova, G. S. & Mironov, A. E., Aug 2023, In: Doklady Mathematics. 108, 1, p. 312-315 4 p.

    Research output: Contribution to journalArticlepeer-review

  7. On the Rational Integrals of Two-Dimensional Natural Systems

    Agapov, S. V. & Tursunov, M. M., Jul 2023, In: Siberian Mathematical Journal. 64, 4, p. 787-795 9 p.

    Research output: Contribution to journalArticlepeer-review

  8. Integrable magnetic geodesic flows on 2-surfaces

    Agapov, S., Potashnikov, A. & Shubin, V., 1 Apr 2023, In: Nonlinearity. 36, 4, 2128.

    Research output: Contribution to journalArticlepeer-review

  9. High-Degree Polynomial Integrals of a Natural System on the Two-Dimensional Torus

    Agapov, S. V., Mar 2023, In: Siberian Mathematical Journal. 64, 2, p. 261-268 8 p.

    Research output: Contribution to journalArticlepeer-review

  10. On the formality problem for manifolds with special holonomy

    Taimanov, I. A., 2023, In: Filomat. 37, 25, p. 8709-8718 10 p.

    Research output: Contribution to journalArticlepeer-review

  11. Some classes of almost Hermitian structures that can be realized on S6

    Daurtseva, N. A., 2023, In: Sbornik Mathematics. 214, 5, p. 732-743 12 p.

    Research output: Contribution to journalArticlepeer-review

  12. Письмо в редакцию

    Agapov, S. V., 2023, In: Siberian Electronic Mathematical Reports. 20, 1, p. 47-47 1 p.

    Research output: Contribution to journalArticlepeer-review

  13. 2022
  14. Rectangular knot diagrams classification with deep learning

    Kauffman, L. H., Russkikh, N. E. & Taimanov, I. A., 1 Oct 2022, In: Journal of Knot Theory and its Ramifications. 31, 11, 2250067.

    Research output: Contribution to journalArticlepeer-review

  15. Commuting Elements in the First Weyl Algebra over Q

    Gundareva, A. F., Sept 2022, In: Siberian Mathematical Journal. 63, 5, p. 883-893 11 p.

    Research output: Contribution to journalArticlepeer-review

  16. The second closed geodesic, the fundamental group, and generic Finsler metrics

    Rademacher, H. B. & Taimanov, I. A., Sept 2022, In: Mathematische Zeitschrift. 302, 1, p. 629-640 12 p.

    Research output: Contribution to journalArticlepeer-review

  17. Invariants of Bonded Knotoids and Applications to Protein Folding

    Gügümcü, N., Gabrovsek, B. & Kauffman, L. H., Aug 2022, In: Symmetry. 14, 8, 1724.

    Research output: Contribution to journalArticlepeer-review

  18. Virtual and universal braid groups, their quotients and representations

    Bardakov, V., Emel'Yanenkov, I., Ivanov, M., Kozlovskaya, T., Nasybullov, T. & Vesnin, A., 1 Jul 2022, In: Journal of Group Theory. 25, 4, p. 679-712 34 p.

    Research output: Contribution to journalArticlepeer-review

  19. Existence and Uniqueness of the Solution to a Degenerate Third Boundary Value Problem for a Multidimensional Parabolic Equation

    Kozhanov, A. I. & Shubin, V. V., Jul 2022, In: Siberian Mathematical Journal. 63, 4, p. 723-734 12 p.

    Research output: Contribution to journalArticlepeer-review

  20. General constructions of biquandles and their symmetries

    Bardakov, V., Nasybullov, T. & Singh, M., Jul 2022, In: Journal of Pure and Applied Algebra. 226, 7, 106936.

    Research output: Contribution to journalArticlepeer-review

  21. The Birkhoff-Poritsky conjecture for centrally-symmetric billiard tables

    Bialy, M. & Mironov, A. E., Jul 2022, In: Annals of Mathematics. 196, 1, p. 389-413 25 p.

    Research output: Contribution to journalArticlepeer-review

  22. Trace Formula for the Magnetic Laplacian on a Compact Hyperbolic Surface

    Kordyukov, Y. A. & Taimanov, I. A., Jul 2022, In: Regular and Chaotic Dynamics. 27, 4, p. 460-476 17 p., 5.

    Research output: Contribution to journalArticlepeer-review

  23. On ribbon graphs and virtual links

    Baldridge, S., Kauffman, L. H. & Rushworth, W., Jun 2022, In: European Journal of Combinatorics. 103, 103520.

    Research output: Contribution to journalArticlepeer-review

  24. On λ-homomorphic skew braces

    Bardakov, V. G., Neshchadim, M. V. & Yadav, M. K., Jun 2022, In: Journal of Pure and Applied Algebra. 226, 6, 106961.

    Research output: Contribution to journalArticlepeer-review

  25. Rota—Baxter groups, skew left braces, and the Yang—Baxter equation

    Bardakov, V. G. & Gubarev, V., 15 Apr 2022, In: Journal of Algebra. 596, p. 328-351 24 p.

    Research output: Contribution to journalArticlepeer-review

  26. Boundary Problems for Parabolic Equations with Degenerate Boundary Condition of the Third Kind

    Kozhanov, A. I., Artyushin, A. N. & Shubin, V. V., Apr 2022, In: Doklady Mathematics. 105, 2, p. 106-108 3 p., 8.

    Research output: Contribution to journalArticlepeer-review

  27. On homotopy braids

    Bardakov, V. G., Vershinin, V. V. & Wu, J., 1 Mar 2022, In: Forum Mathematicum. 34, 2, p. 447-454 8 p.

    Research output: Contribution to journalArticlepeer-review

  28. Multidimensional conservation laws and integrable systems II

    Makridin, Z. V. & Pavlov, M. V., Feb 2022, In: Studies in Applied Mathematics. 148, 2, p. 813-824 12 p.

    Research output: Contribution to journalArticlepeer-review

  29. The Semiotics of Laws of Form

    Kauffman, L. H., 1 Jan 2022, When Form Becomes Substance: Power of Gestures, Diagrammatical Intuition and Phenomenology of Space. Springer International Publishing AG, p. 3-26 24 p. (When Form Becomes Substance: Power of Gestures, Diagrammatical Intuition and Phenomenology of Space).

    Research output: Chapter in Book/Report/Conference proceedingChapterResearchpeer-review

  30. Recurrent generalization of f-polynomials for virtual knots and links

    Gill, A., Ivanov, M., Prabhakar, M. & Vesnin, A., Jan 2022, In: Symmetry. 14, 1, 15.

    Research output: Contribution to journalArticlepeer-review

  31. A Wells type exact sequence for non-degenerate unitary solutions of the Yang–Baxter equation

    Bardakov, V. & Singh, M., 2022, In: Homology, Homotopy and Applications. 24, 2, p. 31-51 21 p.

    Research output: Contribution to journalArticlepeer-review

  32. Closed geodesics on connected sums and 3-manifolds

    Rademacher, H. B. & Taimanov, I. A., 2022, In: Journal of Differential Geometry. 120, 3, p. 557-573 17 p.

    Research output: Contribution to journalArticlepeer-review

  33. Diagrammatic mathematics

    Kauffman, L. H., 2022, Handbook of Cognitive Mathematics. Springer International Publishing AG, p. 1281-1311 31 p. (Handbook of Cognitive Mathematics; vol. 2-2).

    Research output: Chapter in Book/Report/Conference proceedingChapterResearchpeer-review

  34. On the Riemann-Hurwitz formula for regular graph coverings

    Mednykh, A., 2022, In: Contemporary Mathematics. 776, p. 301-309 9 p., 14.

    Research output: Contribution to journalArticlepeer-review

  35. Representative Elementary Volume via Averaged Scalar Minkowski Functionals

    Andreeva, M. V., Kalyuzhnyuk, A. V., Krutko, V. V., Russkikh, N. E. & Taimanov, I. A., 2022, Advanced Problem in Mechanics II - Proceedings of the 48th International Summer School-Conference “Advanced Problems in Mechanics”, 2020. Indeitsev, D. A. & Krivtsov, A. M. (eds.). 1 ed. Springer Science and Business Media Deutschland GmbH, p. 533-539 7 p. (Lecture Notes in Mechanical Engineering).

    Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

  36. Uncolorable Brunnian Links are Linked

    Kauffman, L. H., Prasad, D. & Zhu, C. J., 2022, In: Mathematics Magazine. 95, 5, p. 437-451 15 p.

    Research output: Contribution to journalArticlepeer-review

  37. Unoriented Khovanov Homology

    Baldridge, S., Kauffman, L. H. & McCarty, B., 2022, In: New York Journal of Mathematics. 28, p. 367-401 35 p., 14.

    Research output: Contribution to journalArticlepeer-review

  38. 2021
  39. Finite type invariants for knotoids

    Manouras, M., Lambropoulou, S. & Kauffman, L. H., Dec 2021, In: European Journal of Combinatorics. 98, 103402.

    Research output: Contribution to journalArticlepeer-review

  40. On a representation of the automorphism group of a graph in a unimodular group

    Estélyi, I., Karabáš, J., Nedela, R. & Mednykh, A., Dec 2021, In: Discrete Mathematics. 344, 12, 112606.

    Research output: Contribution to journalArticlepeer-review

  41. Rational integrals of 2-dimensional geodesic flows: New examples

    Agapov, S. & Shubin, V., Dec 2021, In: Journal of Geometry and Physics. 170, 104389.

    Research output: Contribution to journalArticlepeer-review

  42. The volume of a spherical antiprism with S-2n symmetry

    Abrosimov, N. & Vuong, B., 9 Nov 2021, In: Сибирские электронные математические известия. 18, 2, p. 1165-1179 15 p., 24.

    Research output: Contribution to journalArticlepeer-review

  43. Quandle cohomology, extensions and automorphisms

    Bardakov, V. & Singh, M., 1 Nov 2021, In: Journal of Algebra. 585, p. 558-591 34 p.

    Research output: Contribution to journalArticlepeer-review

  44. Quantum Invariants of Knotoids

    Gügümcü, N. & Kauffman, L. H., Nov 2021, In: Communications in Mathematical Physics. 387, 3, p. 1681-1728 48 p.

    Research output: Contribution to journalArticlepeer-review

  45. The Moutard Transformation for the Davey–Stewartson II Equation and Its Geometrical Meaning

    Taimanov, I. A., Nov 2021, In: Mathematical Notes. 110, 5-6, p. 754-766 13 p.

    Research output: Contribution to journalArticlepeer-review

  46. Parity, virtual closure and minimality of knotoids

    Gügümcü, N. & Kauffman, L. H., 1 Oct 2021, In: Journal of Knot Theory and its Ramifications. 30, 11, 2150076.

    Research output: Contribution to journalArticlepeer-review

  47. Spatial graph as connected sum of a planar graph and a braid

    Bardakov, V. G. & Kawauchi, A., 1 Oct 2021, In: Journal of Knot Theory and its Ramifications. 30, 11, 2150077.

    Research output: Contribution to journalArticlepeer-review

  48. 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

  49. 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

  50. 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

  51. 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

  52. 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

  53. 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

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