1. Article › Research › Peer-reviewed
  2. 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

  3. A canonical basis of two-cycles on a K3 surface

    Taimanov, I. A., 1 Aug 2018, In: Sbornik Mathematics. 209, 8, p. 1248-1256 9 p.

    Research output: Contribution to journalArticlepeer-review

  4. Artin's braids, braids for three space, and groups σ n 4 and G n k

    Kim, S. & Manturov, V. O., 1 Sept 2019, In: Journal of Knot Theory and its Ramifications. 28, 10, 20 p., 1950063.

    Research output: Contribution to journalArticlepeer-review

  5. A sliceness criterion for odd free knots

    Manturov, V. O. & Fedoseev, D. A., Oct 2019, In: Sbornik Mathematics. 210, 10, p. 1493-1509 17 p.

    Research output: Contribution to journalArticlepeer-review

  6. 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

  7. A survey on polynomial in momenta integrals for billiard problems

    Bialy, M. & Mironov, A. E., 17 Sept 2018, In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 376, 2131, 19 p., 20170418.

    Research output: Contribution to journalArticlepeer-review

  8. Automorphism groups of quandles and related groups

    Bardakov, V., Nasybullov, T. & Singh, M., 1 May 2019, In: Monatshefte fur Mathematik. 189, 1, p. 1-21 21 p.

    Research output: Contribution to journalArticlepeer-review

  9. 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

  10. 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

  11. 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

  12. Braiding, Majorana fermions, Fibonacci particles and topological quantum computing

    Kauffman, L. H. & Lomonaco, S. J., 1 Aug 2018, In: Quantum Information Processing. 17, 8, 81 p., 201.

    Research output: Contribution to journalArticlepeer-review

  13. Brieskorn Manifolds, Generalized Sieradski Groups, and Coverings of Lens Spaces

    Vesnin, A. Y. & Kozlovskaya, T. A., 1 Apr 2019, In: Proceedings of the Steklov Institute of Mathematics. 304, p. S175-S185 11 p.

    Research output: Contribution to journalArticlepeer-review

  14. Brieskorn submanifolds, local moves on knots, and knot products

    Kauffman, L. H. & Ogasa, E., 1 Sept 2019, In: Journal of Knot Theory and its Ramifications. 28, 10, 39 p., 1950068.

    Research output: Contribution to journalArticlepeer-review

  15. 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

  16. Cobordisms of graphs: A sliceness criterion for stably odd free knots and related results on cobordisms

    Fedoseev, D. A. & Manturov, V. O., 1 Nov 2018, In: Journal of Knot Theory and its Ramifications. 27, 13, 24 p., 1842011.

    Research output: Contribution to journalArticlepeer-review

  17. Commutator subgroups of virtual and welded braid groups

    Bardakov, V. G., Gongopadhyay, K. & Neshchadim, M. V., 1 May 2019, In: International Journal of Algebra and Computation. 29, 3, p. 507-533 27 p.

    Research output: Contribution to journalArticlepeer-review

  18. 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

  19. Complexity of Discrete Seifert Foliations over a Graph

    Kwon, Y. S., Mednykh, A. D. & Mednykh, I. A., 1 May 2019, In: Doklady Mathematics. 99, 3, p. 286-289 4 p.

    Research output: Contribution to journalArticlepeer-review

  20. 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

  21. 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

  22. 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

  23. Counting rooted spanning foresrs in cobordism of two circulant graphs

    Abrosimov, N. V., Baigonakova, G. A., Grunwald, L. A. & Mednykh, I. A., 2020, In: Siberian Electronic Mathematical Reports. 17, p. 814-823 10 p.

    Research output: Contribution to journalArticlepeer-review

  24. Darboux Moutard Transformations and Poincaré—Steklov Operators

    Novikov, R. G. & Taimanov, I. A., 1 Aug 2018, In: Proceedings of the Steklov Institute of Mathematics. 302, 1, p. 315-324 10 p.

    Research output: Contribution to journalArticlepeer-review

  25. Detecting and visualizing 3-dimensional surgery

    Antoniou, S., Kauffman, L. H. & Lambropoulou, S., 6 Jan 2020, In: Journal of Knot Theory and its Ramifications. 28, 13, 24 p., 1940015.

    Research output: Contribution to journalArticlepeer-review

  26. Difference Krichever—Novikov Operators of Rank 2

    Mauleshova, G. S. & Mironov, A. E., 1 May 2019, In: Proceedings of the Steklov Institute of Mathematics. 305, 1, p. 195-208 14 p.

    Research output: Contribution to journalArticlepeer-review

  27. 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

  28. Elementary formulas for kirchhoff index of mobius ladder and prism graphs

    Baigonakova, G. A. & Mednykh, A. D., 21 Nov 2019, In: Сибирские электронные математические известия. 16, p. 1654-1661 8 p., 117.

    Research output: Contribution to journalArticlepeer-review

  29. 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

  30. Enumeration of Pentahexagonal Annuli in the Plane

    Dobrynin, A. A. & Rosenfeld, V. R., 1 Dec 2019, In: Mathematics. 7, 12, 12 p., 1156.

    Research output: Contribution to journalArticlepeer-review

  31. Even unique intersection point can break OSC: an example

    Тетенов, А. В. & Камалутдинов, К. Г., 9 Apr 2019, In: Nonlinearity. 8 p.

    Research output: Contribution to journalArticlepeer-review

  32. 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

  33. 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

  34. 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

  35. 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

  36. 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

  37. 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

  38. 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

  39. Free quandles and knot quandles are residually finite

    Bardakov, V. G., Singh, M. & Singh, M., Aug 2019, In: Proceedings of the American Mathematical Society. 147, 8, p. 3621-3633 13 p.

    Research output: Contribution to journalArticlepeer-review

  40. 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

  41. Generalised Kummer construction and the cohomology rings of G 2 -manifolds

    Taimanov, I. A., 1 Dec 2018, In: Sbornik Mathematics. 209, 12, p. 1803-1811 9 p.

    Research output: Contribution to journalArticlepeer-review

  42. Graphical virtual links and a polynomial for signed cyclic graphs

    Deng, Q., Jin, XA. & Kauffman, L. H., 1 Sept 2018, In: Journal of Knot Theory and its Ramifications. 27, 10, 14 p., 1850054.

    Research output: Contribution to journalArticlepeer-review

  43. n-groups for simplicial complexes and the word problem on G2 (K)

    Manturov, V. O. & Wu, J., 1 Nov 2018, In: Journal of Knot Theory and its Ramifications. 27, 13, 5 p., 1842013.

    Research output: Contribution to journalArticlepeer-review

  44. 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

  45. 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

  46. Infinite family of 2-connected transmission irregular graphs

    Dobrynin, A. A., 1 Jan 2019, In: Applied Mathematics and Computation. 340, p. 1-4 4 p.

    Research output: Contribution to journalArticlepeer-review

  47. Infinite family of 3-connected cubic transmission irregular graphs

    Dobrynin, A. A., 31 Mar 2019, In: Discrete Applied Mathematics. 257, p. 151-157 7 p.

    Research output: Contribution to journalArticlepeer-review

  48. Infinite family of transmission irregular trees of even order

    Dobrynin, A. A., 1 Jan 2019, In: Discrete Mathematics. 342, 1, p. 74-77 4 p.

    Research output: Contribution to journalArticlepeer-review

  49. Infinitesimal bending of knots and energy change

    Kauffman, L. H., Velimirović, L. S., Najdanović, M. S. & Rančić, S. R., 1 Oct 2019, In: Journal of Knot Theory and its Ramifications. 28, 11, 15 p., 1940009.

    Research output: Contribution to journalArticlepeer-review

  50. 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

  51. 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

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

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

    Research output: Contribution to journalArticlepeer-review

  53. 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

  54. 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

  55. Knot Groups and Residual Nilpotence

    Bardakov, V. G. & Neshchadim, M. V., 1 Apr 2019, In: Proceedings of the Steklov Institute of Mathematics. 304, p. S23-S30 8 p.

    Research output: Contribution to journalArticlepeer-review

  56. 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

  57. 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

  58. Linearity problem for non-abelian tensor products

    Bardakov, V. G., Lavrenov, A. V. & Neshchadim, M. V., 1 Jan 2019, In: Homology, Homotopy and Applications. 21, 1, p. 269-281 13 p.

    Research output: Contribution to journalArticlepeer-review

  59. 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

  60. 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

  61. 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

  62. Majorana Fermions and representations of the braid group

    Kauffman, L. H., 20 Aug 2018, In: International Journal of Modern Physics A. 33, 23, 28 p., 1830023.

    Research output: Contribution to journalArticlepeer-review

  63. Multi-dimensional conservation laws and integrable systems

    Makridin, Z. V. & Pavlov, M. V., Nov 2019, In: Studies in Applied Mathematics. 143, 4, p. 339-355 17 p.

    Research output: Contribution to journalArticlepeer-review

  64. 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

  65. 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

  66. 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

  67. New skein invariants of links

    Kauffman, L. H. & Lambropoulou, S., 6 Jan 2020, In: Journal of Knot Theory and its Ramifications. 28, 13, 53 p., 1940018.

    Research output: Contribution to journalArticlepeer-review

  68. Non-commutativeworlds and classical constraints

    Kauffman, L. H., 1 Jul 2018, In: Entropy. 20, 7, p. 1-25 25 p., 483.

    Research output: Contribution to journalArticlepeer-review

  69. 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

  70. On a family of minimal isotropic tori and Klein bottles in ℂP3

    Yermentay, M. S., 1 Jan 2019, In: Сибирские электронные математические известия. 16, p. 955-958 4 p.

    Research output: Contribution to journalArticlepeer-review

  71. 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

  72. On automorphisms of graphs and Riemann surfaces acting with fixed points

    Gromadzki, G., Mednykh, A. D. & Mednykh, I. A., 1 Dec 2019, In: Analysis and Mathematical Physics. 9, 4, p. 2021-2031 11 p.

    Research output: Contribution to journalArticlepeer-review

  73. 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

  74. 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

  75. On exact solutions of a system of quasi-linear equations describing integrable geodesic flows on a surface

    Abdikalikova, G. & Mironov, A. E., 1 Jan 2019, In: Сибирские электронные математические известия. 16, p. 949-954 6 p.

    Research output: Contribution to journalArticlepeer-review

  76. 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

  77. 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

  78. 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

  79. On one-point intersection property for self-similar fractals

    Kamalutdinov, K. & Tetenov, A., 1 Jan 2020, In: Nonlinearity. 33, 1, p. 408-416 9 p.

    Research output: Contribution to journalArticlepeer-review

  80. 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

  81. 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

  82. 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

  83. 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

  84. 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

  85. 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

  86. 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

  87. 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

  88. 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

  89. On the set of subarcs in some non-postrcritically finite dendrites

    Abrosimov, N. V., Chanchieva, M. V. & Tetenov, A. V., 1 Jan 2019, In: Сибирские электронные математические известия. 16, p. 975-982 8 p.

    Research output: Contribution to journalArticlepeer-review

  90. 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

  91. On the Wiener complexity and the Wiener Index of fullerene graphs

    Dobrynin, A. A. & Vesnin, A. Y., 1 Nov 2019, In: Mathematics. 7, 11, 17 p., 1071.

    Research output: Contribution to journalArticlepeer-review

  92. 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

  93. 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

  94. 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

  95. 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

  96. 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

  97. Picture-valued parity-biquandle bracket

    Ilyutko, D. P. & Manturov, V. O., 1 Feb 2020, In: Journal of Knot Theory and its Ramifications. 29, 2, 22 p., 2040004.

    Research output: Contribution to journalArticlepeer-review

  98. Polynomial integrals of magnetic geodesic flows on the 2-torus on several energy levels

    Agapov, S. & Valyuzhenich, A., Nov 2019, In: Discrete and Continuous Dynamical Systems- Series A. 39, 11, p. 6565-6583 19 p.

    Research output: Contribution to journalArticlepeer-review

  99. Polynomial non-integrability of magnetic billiards on the sphere and the hyperbolic plane

    Bialy, M. & Mironov, A. E., 16 Jan 2019, In: Russian Mathematical Surveys. 74, 2, p. 187-209 23 p., 1.

    Research output: Contribution to journalArticlepeer-review

  100. 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

  101. 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

  102. 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

  103. 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

  104. 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

  105. 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

  106. 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

  107. 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

  108. 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

  109. 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

  110. Self-intersections in parametrized self-similar sets under translations and extensions of copies

    Kamalutdinov, K. G., 1 Jan 2019, In: Trudy Instituta Matematiki i Mekhaniki UrO RAN. 25, 2, p. 116-124 9 p.

    Research output: Contribution to journalArticlepeer-review

  111. 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

  112. 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

  113. 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

  114. 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

  115. Structural aspects of twin and pure twin groups

    Bardakov, V., Singh, M. & Vesnin, A., 1 Dec 2019, In: Geometriae Dedicata. 203, 1, p. 135-154 20 p.

    Research output: Contribution to journalArticlepeer-review

  116. 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

  117. 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

  118. The generalized Yamada polynomials of virtual spatial graphs

    Deng, Q., Jin, X. & Kauffman, L. H., 1 Apr 2019, In: Topology and its Applications. 256, p. 136-158 23 p.

    Research output: Contribution to journalArticlepeer-review

  119. 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

  120. The Multiplicity Problem for Periodic Orbits of Magnetic Flows on the 2-Sphere

    Abbondandolo, A., Asselle, L., Benedetti, G., Mazzucchelli, M. & Taimanov, I. A., 2 Jan 2017, In: Advanced Nonlinear Studies. 17, 1, p. 17-30 14 p.

    Research output: Contribution to journalArticlepeer-review

  121. 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

  122. 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

  123. 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

  124. 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

  125. 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

  126. The total curvature of knots under second-order infinitesimal bending

    Najdanović, M. S., Ranĉić, S. R., Kauffman, L. H. & Velimirović, L. S., 1 Jan 2019, In: Journal of Knot Theory and its Ramifications. 28, 1, 12 p., 1950005.

    Research output: Contribution to journalArticlepeer-review

  127. The volume of a compact hyperbolic antiprism

    Abrosimov, N. & Vuong, B., Nov 2018, In: Journal of Knot Theory and its Ramifications. 27, 13, 12 p., 1842010.

    Research output: Contribution to journalArticlepeer-review

  128. 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

  129. Topological aspects of quantum entanglement

    Kauffman, L. H. & Mehrotra, E., 1 Mar 2019, In: Quantum Information Processing. 18, 3, 36 p., 76.

    Research output: Contribution to journalArticlepeer-review

  130. Topological surgery in cosmic phenomena

    Antoniou, S., Kauffman, L. H. & Lambropoulou, S., 4 Dec 2019, In: Advances in Theoretical and Mathematical Physics. 23, 3, p. 701-765 65 p.

    Research output: Contribution to journalArticlepeer-review

  131. Trace formula for the magnetic Laplacian

    Kordyukov, Y. A. & Taimanov, I. A., 1 Jan 2019, In: Russian Mathematical Surveys. 74, 2, p. 325-361 37 p., 4.

    Research output: Contribution to journalArticlepeer-review

  132. 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

  133. Twofold cantor sets in ℝ

    Kamalutdinov, K. & Tetenov, A., 1 Jan 2018, In: Сибирские электронные математические известия. 15, p. 801-814 14 p.

    Research output: Contribution to journalArticlepeer-review

  134. Two Moore’s Theorems for Graphs

    Mednykh, A. & Mednykh, I., 2020, In: Rendiconti dell'Istituto di Matematica dell'Universita di Trieste. 52, p. 469-476 8 p.

    Research output: Contribution to journalArticlepeer-review

  135. 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

  136. 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

  137. 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

  138. 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

  139. Virtual knot cobordism and the affine index polynomial

    Kauffman, L. H., 1 Oct 2018, In: Journal of Knot Theory and its Ramifications. 27, 11, 29 p., 1843017.

    Research output: Contribution to journalArticlepeer-review

  140. Volume Estimates for Right-Angled Hyperbolic Polyhedra

    Egorov, A. & Vesnin, A., 2020, In: Rendiconti dell'Istituto di Matematica dell'Universita di Trieste. 52, p. 565-576 12 p.

    Research output: Contribution to journalArticlepeer-review

  141. 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

  142. 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

  143. 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

  144. Word and Conjugacy Problems in Groups Gkk+1

    Fedoseev, D. A., Karpov, A. B. & Manturov, V. O., 1 Feb 2020, In: Lobachevskii Journal of Mathematics. 41, 2, p. 176-193 18 p.

    Research output: Contribution to journalArticlepeer-review

  145. 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

  146. 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

  147. Об отображениях, сохраняющих метрический порядок

    Kamalutdinov, K. G., 2017, In: Siberian Electronic Mathematical Reports. 14, p. 1434-1439 6 p.

    Research output: Contribution to journalArticlepeer-review

  148. 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

  149. Полиномы простых виртуальных узлов рода один и сложности не более пяти

    Веснин, А. Ю. & Иванов, М. Э., 2020, In: Сибирский математический журнал. 61, 6, p. 1247-1256 10 p., 4.

    Research output: Contribution to journalArticlepeer-review

  150. Пример неоднозначности разложения трёхмерного геометрического объекта

    Matveev, S. V., 2019, In: Chelyabinsk Physical and Mathematical Journal. 4, 3, p. 265-275 11 p., 3.

    Research output: Contribution to journalArticlepeer-review

  151. Chapter › Research › Peer-reviewed
  152. Area and volume in non-Euclidean geometry

    Abrosimov, N. & Mednykh, A., 2019, EIGHTEEN ESSAYS IN NON-EUCLIDEAN GEOMETRY. Alberge & Papadopoulos, A. (eds.). EUROPEAN MATHEMATICAL SOC, p. 151-189 39 p. (IRMA Lectures in Mathematics and Theoretical Physics; vol. 29).

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

  153. Compatible Actions and Non-abelian Tensor Products

    Bardakov, V. G. & Neshchadim, M. V., 2018, Indian Statistical Institute Series. Springer Science and Business Media B.V., p. 29-39 11 p. (Indian Statistical Institute Series).

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

  154. 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

  155. On rank two algebro-geometric solutions of an integrable chain

    Mironov, A. E. & Mauleshova, G. S., 1 Jan 2019, Trends in Mathematics. Springer International Publishing AG, p. 189-195 7 p. (Trends in Mathematics).

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

  156. Periodic one-point rank one commuting difference operators

    Dobrogowska, A. & Mironov, A. E., 2020, Trends in Mathematics. Springer Science and Business Media Deutschland GmbH, p. 67-74 8 p. (Trends in Mathematics).

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

  157. Positive One-Point Commuting Difference Operators

    Mauleshova, G. S. & Mironov, A. E., 2020, INTEGRABLE SYSTEMS AND ALGEBRAIC GEOMETRY: A CELEBRATION OF EMMA PREVIATO'S 65TH BIRTHDAY, VOL 1. Donagi, R. & Shaska, T. (eds.). CAMBRIDGE UNIV PRESS, p. 395-412 18 p. (London Mathematical Society Lecture Note Series; vol. 458).

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

  158. 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

  159. Conference contribution › Research › Peer-reviewed
  160. A Survey on Knotoids, Braidoids and Their Applications

    Gügümcü, N., Kauffman, L. H. & Lambropoulou, S., 1 Jan 2019, Knots, Low-Dimensional Topology and Applications - Knots in Hellas, International Olympic Academy, 2016. Adams, C. C., Gordon, C. M., Jones, V. F. R., Kauffman, L. H., Lambropoulou, S., Millett, K. C., Przytycki, J. H., Przytycki, J. H., Ricca, R. & Sazdanovic, R. (eds.). Springer New York LLC, p. 389-409 21 p. (Springer Proceedings in Mathematics and Statistics; vol. 284).

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

  161. Discrete analog of the jacobi set for vector fields

    Adilkhanov, A. N., Pavlov, A. V. & Taimanov, I. A., 1 Jan 2019, Computational Topology in Image Context - 7th International Workshop, CTIC 2019, Proceedings. Marfil, R., Calderón, M., Bandera, A., Díaz del Río, F. & Real, P. (eds.). Springer-Verlag GmbH and Co. KG, p. 1-11 11 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 11382 LNCS).

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

  162. Extending the Classical Skein

    Kauffman, L. H. & Lambropoulou, S., 1 Jan 2019, Knots, Low-Dimensional Topology and Applications - Knots in Hellas, International Olympic Academy, 2016. Adams, C. C., Gordon, C. M., Jones, V. F. R., Kauffman, L. H., Lambropoulou, S., Millett, K. C., Przytycki, J. H., Przytycki, J. H., Ricca, R. & Sazdanovic, R. (eds.). Springer New York LLC, p. 225-245 21 p. (Springer Proceedings in Mathematics and Statistics; vol. 284).

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

  163. Quantum knots and knotted zeros

    Kauffman, L. H. & Lomonaco, S. J., 1 Jan 2019, Quantum Information Science, Sensing, and Computation XI. Donkor, E., Hayduk, M., Frey, M. R., Lomonaco, S. J. & Myers, J. M. (eds.). SPIE, 9 p. 109840A. (Proceedings of SPIE - The International Society for Optical Engineering; vol. 10984).

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

  164. 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

  165. Topological Surgery in the Small and in the Large

    Antoniou, S., Kauffman, L. H. & Lambropoulou, S., 1 Jan 2019, Knots, Low-Dimensional Topology and Applications - Knots in Hellas, International Olympic Academy, 2016. Adams, C. C., Gordon, C. M., Jones, V. F. R., Kauffman, L. H., Lambropoulou, S., Millett, K. C., Przytycki, J. H., Przytycki, J. H., Ricca, R. & Sazdanovic, R. (eds.). Springer New York LLC, p. 449-456 8 p. (Springer Proceedings in Mathematics and Statistics; vol. 284).

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

  166. Virtual Knot Theory and Virtual Knot Cobordism

    Kauffman, L. H., 1 Jan 2019, Knots, Low-Dimensional Topology and Applications - Knots in Hellas, International Olympic Academy, 2016. Adams, C. C., Gordon, C. M., Jones, V. F. R., Kauffman, L. H., Lambropoulou, S., Millett, K. C., Przytycki, J. H., Przytycki, J. H., Ricca, R. & Sazdanovic, R. (eds.). Springer New York LLC, p. 67-114 48 p. (Springer Proceedings in Mathematics and Statistics; vol. 284).

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

  167. Conference article › Research › Peer-reviewed
  168. Braiding, Majorana Fermions and the Dirac Equation

    Kauffman, L. H., 17 Jul 2018, In: Journal of Physics: Conference Series. 1051, 1, 9 p., 012036.

    Research output: Contribution to journalConference articlepeer-review

  169. Iterants and the Dirac Equation

    Kauffman, L. H., 1 Jan 2019, In: Journal of Physics: Conference Series. 1251, 1, 012003.

    Research output: Contribution to journalConference articlepeer-review

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