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Igor M. Nikonov

Full list of publications: department page and ISTINA profile (IRID 1489159)

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Titles are translated into English, personal names and Russian-language journal titles are transliterated, and venue information is given in English; ISTINA records are linked where available. The list combines the Russian departmental publication list with the ISTINA profile and contains 131 bibliographic records: 72 journal articles, 14 book chapters and collected papers, 12 books, textbooks and preprints, 3 conference abstracts, 30 conference talks.

Journal articles

72 records

  1. 2026 Khovanov homology, uncoupling operation and some classification of oriented graph-links Ilyutko D.P., Nikonov I.M. In: Proceedings of the Institute of Mathematics and Mechanics, vol. 52, no. 1, pp. 137–156 ISTINA record doi
  2. 2026 Khovanov–Lipshitz–Sarkar homotopy type for links in thickened surfaces Kauffman L.H., Nikonov I.M., Ogasa E. In: Journal of Knot Theory and its Ramifications, published by World Scientific Publishing Co (Singapore), vol. 35, no. 03, pp. 1–35 ISTINA record doi
  3. 2026 On biquandles for the groups Gnk and surface singular braid monoid Lee S.Y., Manturov V.O., Nikonov I.M. In: Journal of Knot Theory and its Ramifications, published by World Scientific Publishing Co (Singapore), vol. 35, no. 3, pp. 1–15 ISTINA record doi
  4. 2025 Flat-virtual knot: Introduction and some invariants Manturov V.O., Nikonov I.M. In: Journal of Knot Theory and its Ramifications, published by World Scientific Publishing Co (Singapore), vol. 34, no. 14, pp. 1–24 ISTINA record doi
  5. 2025 On skein invariants Nikonov I. In: Lobachevskii Journal of Mathematics, published by Kazanskii Gosudarstvennyi Universitet/Kazan State University (Russian Federation), vol. 46, no. 3, pp. 1171–1182 ISTINA record doi
  6. 2025 Relative Rota–Baxter Operators on Groups and Hopf Algebras Bardakov V.G., Nikonov I.M. In: Bulletin of the Iranian Mathematical Society, published by Iranian Mathematical Society (Iran, Islamic Republic of), vol. 51, no. 4, pp. 1–22 ISTINA record doi
  7. 2024 Lie Rota–Baxter operators on the Sweedler algebra H4 Bardakov V.G., Nikonov I.M., Zhelaybin V.N. In: International Journal of Algebra and Computation, published by World Scientific Publishing Co (Singapore), vol. 34, no. 08, pp. 1159–1189 ISTINA record doi
  8. 2024 Mappings of nodes in a cylinder into planar virtual nodes Manturov V.O., Nikonov I.M. In: Russian Mathematical Surveys, published by Nauka Publishing House (Moscow), vol. 79, no. 2, pp. 187–188 ISTINA record doi
  9. 2024 Practice of risk analysis in problems of reliability of supplies of natural gas with valuable components to gas processing and gas chemical complexes. Part 1: Stochastic Modeling Demkin I.V., Kovalev S.A., Mitchenko A.A., Shevchenko A.V., Nikonov I.M. In: Problems of Risk Analysis, vol. 21, no. 4, pp. 49–67 ISTINA record
  10. 2024 Practice of risk analysis in problems of reliability of supplies of natural gas with valuable components to gas processing and gas chemical complexes. Part 2. Supply of ethane-containing gas Demkin I.V., Kovalev S.A., Mitchenko A.A., Shevchenko A.V., Nikonov I.M. In: Problems of Risk Analysis, vol. 21, no. 5, pp. 36–49 ISTINA record
  11. 2024 The problem of determining the discount rate for complex investment projects in the oil and gas industry Bogatyrev M.I., Kirichenko O.S., Nazarova Yu.A., Nikonov I.M., Shcherbakova N.S. In: Moscow University Bulletin. Series 6: Economics, published by Moscow University Press (Moscow), vol. 59, no. 1, pp. 171–186 ISTINA record doi
  12. 2023 Group-valued invariant of knots in the full torus Manturov V.O., Nikonov I.M. In: Journal of Knot Theory and its Ramifications, published by World Scientific Publishing Co (Singapore), vol. 32, no. 01, pp. 1–9 ISTINA record doi
  13. 2023 Intersection formulas for parities on virtual knots Nikonov I.M. In: Journal of Knot Theory and its Ramifications, published by World Scientific Publishing Co (Singapore), vol. 32, no. 05, pp. 1–56 ISTINA record doi
  14. 2023 Mapping to virtual braids and braid representations Manturov V.O., Nikonov I.M. In: Russian Mathematical Surveys, published by Nauka Publishing House (Moscow), vol. 78, no. 2, pp. 193–194 ISTINA record doi
  15. 2022 On universal parity on free two-dimensional knots Nikonov I.M. In: Journal of Knot Theory and its Ramifications, published by World Scientific Publishing Co (Singapore), vol. 31, no. 10, pp. 1–16 ISTINA record doi
  16. 2022 Parity functors Nikonov I.M. In: Journal of Knot Theory and its Ramifications, published by World Scientific Publishing Co (Singapore), vol. 31, no. 06, pp. 1–34 ISTINA record doi
  17. 2022 Parity on based matrices Nikonov I.M. In: Journal of Knot Theory and its Ramifications, published by World Scientific Publishing Co (Singapore), vol. 31, no. 02, pp. 1–23 ISTINA record doi
  18. 2022 Virtual index cocycles and invariants of virtual links Nikonov I.M. In: Journal of Knot Theory and its Ramifications, published by World Scientific Publishing Co (Singapore), vol. 31, no. 03, pp. 1–34 ISTINA record doi
  19. 2022 Weight Systems of Framed Chord Diagrams Corresponding to Lie Algebras Ilyutko D.P., Nikonov I.M. In: Moscow University Mathematics Bulletin, published by Allerton Press Inc. (United States), vol. 77, no. 6, pp. 290–295 ISTINA record doi
  20. 2022 Weighted systems of framed chord diagrams corresponding to Lie algebras Ilyutko D.P., Nikonov I.M. In: Moscow University Mathematics Bulletin, published by Moscow University Press (Moscow), no. 6, pp. 60–64 ISTINA record
  21. 2021 Khovanov–Lipshitz–Sarkar homotopy type for links in thickened higher genus surfaces Kauffman Louis H., Nikonov I.M. Mikhailovich, Ogasa Eiji In: Journal of Knot Theory and its Ramifications, published by World Scientific Publishing Co (Singapore), vol. 30, no. 08, pp. 1–48 ISTINA record doi
  22. 2021 On Groups G_n^k and Γ_n^k: A Study of Manifolds, Dynamics, and Invariants Manturov V.O., Fedoseev D.A., Kim S., Nikonov I.M. In: Bulletin of Mathematical Sciences, vol. 11, no. 2, pp. 1–155 ISTINA record doi
  23. 2020 On the choice of mathematical methods for estimating the value of real options to increase the capacity of oil and gas projects Khatkov V.Yu., Zubarev G.V., Demkin I.V., Pozhidaev E.V., Nikonov I.M. In: Problems of Risk Analysis, vol. 17, no. 1, pp. 38–57 ISTINA record doi
  24. 2019 Description of degenerate two-dimensional singularities with one critical point Nikonov I.M. In: Moscow University Mathematics Bulletin, published by Moscow University Press (Moscow), no. 3, pp. 5–15 ISTINA record
  25. 2019 Description of degenerate two-dimensional singularities with single critical point Nikonov I.M. In: Moscow University Mathematics Bulletin, published by Allerton Press Inc. (United States), vol. 74, no. 3, pp. 87–97 ISTINA record doi
  26. 2018 Diagrammatic approach in knot theory and its applications in graph theory Ilyutko D.P., Nikonov I.M. In: Moscow University Mathematics Bulletin, published by Moscow University Press (Moscow), no. 3, pp. 65–71 ISTINA record
  27. 2018 The Diagram Approach in Knot Theory and Applications to Graph Theory Ilyutko D.P., Nikonov I.M. In: Moscow University Mathematics Bulletin, published by Allerton Press Inc. (United States), vol. 73, no. 3, pp. 124–130 ISTINA record doi
  28. 2017 Extremal networks in λ-geometry, where λ=3,4,6 Ilyutko D.P., Nikonov I.M. In: Sbornik: Mathematics, published by London Mathematical Society (United Kingdom), vol. 208, no. 4, pp. 479–509 ISTINA record doi
  29. 2017 Extremal networks on the λ-normed plane, where λ=3,4,6 Ilyutko D.P., Nikonov I.M. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 208, no. 4, pp. 17–50 ISTINA record doi
  30. 2016 Height atoms whose symmetry groups act transitively on their vertex sets Nikonov I.M. In: Moscow University Mathematics Bulletin, published by Allerton Press Inc. (United States), vol. 71, no. 6, pp. 233–241 ISTINA record doi
  31. 2016 High-altitude atoms with a symmetry group transitive at the vertices Nikonov I.M. In: Moscow University Mathematics Bulletin, published by Moscow University Press (Moscow), no. 6, pp. 17–25 ISTINA record
  32. 2016 Methodological problems of risk analysis of oil and gas projects (part 1) Demkin I.V., Nikonov I.M., Gabrielov A.O., Barkhatov V.D., Petrova M.S. In: Problems of Economics and Management of the Oil and Gas Complex, no. 4, pp. 18–27 ISTINA record
  33. 2016 Methodological problems of risk analysis of oil and gas projects (part 2) Demkin I.V., Nikonov I.M., Gabrielov A.O., Barkhatov V.D., Petrova M.S. In: Problems of Economics and Management of the Oil and Gas Complex, no. 5, pp. 20–28 ISTINA record
  34. 2016 The Length of an Extremal Network in a Normed Space: Maxwell Formula Bannikova A.G., Ilyutko D.P., Nikonov I.M. In: Journal of Mathematical Sciences, published by Plenum Publishers (United States), vol. 214, no. 5, pp. 593–608 ISTINA record doi
  35. 2016 Weak Parities and Functorial Maps Nikonov I.M. In: Journal of Mathematical Sciences, published by Plenum Publishers (United States), vol. 214, no. 5, pp. 699–717 ISTINA record doi
  36. 2015 Homotopical Khovanov homology Manturov V.O., Nikonov I.M. In: Journal of Knot Theory and its Ramifications, published by World Scientific Publishing Co (Singapore), vol. 24, no. 13, pp. 1–17 ISTINA record doi
  37. 2015 Hopf Cyclic Cohomology and Chern Character of Equivariant K-Theories Nikonov I.M., Sharygin G.I. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 22, no. 3, pp. 379–388 ISTINA record doi
  38. 2015 On braids and groups G^k_n Manturov V.O., Nikonov I.M. In: Journal of Knot Theory and its Ramifications, published by World Scientific Publishing Co (Singapore), vol. 24, no. 13, pp. 1–16 ISTINA record doi
  39. 2015 Preface Manturov V.O., Ilyutko D.P., Nikonov I.M. In: Journal of Knot Theory and its Ramifications, published by World Scientific Publishing Co (Singapore), vol. 24, no. 13, pp. 1–6 ISTINA record doi
  40. 2015 Structure of Hopf-cyclic (co)homology algebras of smooth functions Nikonov I.M., Sharygin G.I. In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 97, no. 4, pp. 566–582 ISTINA record
  41. 2015 The structure of the Hopf cyclic (co)homology of algebras of smooth functions Sharygin G.I., Nikonov I.M. In: Mathematical Notes, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 97, no. 3, pp. 575–587 ISTINA record doi
  42. 2014 A new proof of Vassiliev's conjecture Nikonov I.M. In: Journal of Knot Theory and its Ramifications, published by World Scientific Publishing Co (Singapore), vol. 23, no. 7, pp. 1–28 ISTINA record doi
  43. 2013 Length of an extremal network in a normed space: Maxwell's formula Bannikova A.G., Ilyutko D.P., Nikonov I.M. In: Contemporary Mathematics. Fundamental Directions, published by RUDN University (Peoples' Friendship University of Russia) (Moscow), vol. 51, pp. 5–20 ISTINA record
  44. 2013 Maximally symmetric height atoms Nikonov I.M., Volchanetskii N.V. In: Moscow University Mathematics Bulletin, published by Allerton Press Inc. (United States), vol. 68, no. 2, pp. 83–86 ISTINA record doi
  45. 2013 Maximum symmetrical high altitude atoms Volchanetsky N.V., Nikonov I.M. In: Moscow University Mathematics Bulletin, published by Moscow University Press (Moscow), no. 2, pp. 3–6 ISTINA record
  46. 2013 Weak parities and functorial maps Nikonov I.M. In: Contemporary Mathematics. Fundamental Directions, published by RUDN University (Peoples' Friendship University of Russia) (Moscow), vol. 51, pp. 123–141 ISTINA record
  47. 2012 Khovanov homology of graph-links Nikonov I.M. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 203, no. 8, pp. 125–140 ISTINA record
  48. 2012 The effectiveness of using minimax contracts in managing the price risk of gas company investment projects. Part 1: Comparative analysis of approaches to managing price risk of oil and gas projects Bezzubov Yu.V., Khatkov V.Yu., Kislenko N.A., Demkin I.V., Nikonov I.M., Gabrielov A.O. In: Insurance Business, no. 1, pp. 42–53 ISTINA record
  49. 2012 The effectiveness of using minimax contracts in managing the price risk of gas company investment projects. Part 2: Typology of minimax contracts Bezzubov Yu.V., Khatkov V.Yu., Kislenko N.A., Demkin I.V., Nikonov I.M., Gabrielov A.O. In: Insurance Business, no. 2, pp. 45–54 ISTINA record
  50. 2012 The effectiveness of using minimax contracts in managing the price risk of investment projects of a gas company. Part 3: Estimation of parameters of minimax contracts and assessment of the effectiveness of their use Bezzubov Yu.V., Khatkov V.Yu., Kislenko N.A., Demkin I.V., Nikonov I.M., Gabrielov A.O. In: Insurance Business, no. 3, pp. 59–64 ISTINA record
  51. 2011 Assessing the risk of changes in oil prices in Europe Pankratov S.N., Nikonov I.M., Lesnykh V.V., Demkin I.V., Gabrielov A.O., Barkhatov V.D., Mikheeva V.A. In: Problems of Risk Analysis, no. 2, pp. 48–67 ISTINA record
  52. 2011 Justification of cost-effective options for liquefied natural gas supply under conditions of uncertainty Zubarev G.V., Demkin I.V., Nikonov I.M., Safonov V.S., Gabrielov A.O. In: Ekonomicheskaya Nauka Sovremennoi Rossii, no. 3, pp. 135–153 ISTINA record
  53. 2010 Pairings in Hopf-cylic cohomology of algebras and coalgebras with coefficients Nikonov I.M., Sharygin G.I. In: Journal of K-Theory, published by Cambridge University Press (United Kingdom), vol. 5, no. 2, pp. 289–348 ISTINA record
  54. 2010 Solving dynamic problems of innovative development of commercial organizations: fundamentals of methodology Barykin A.N., Nikonov I.M. In: Menedzhment Innovatsii, vol. 1, no. 9, pp. 13–39 ISTINA record
  55. 2009 On the works of D.F. Egorov on differential geometry Nikonov I.M., Fomenko A.T., Shafarevich A.I. In: Historical and Mathematical Studies. Series 2, no. 13, pp. 49–53 ISTINA record
  56. 2009 Optimization of directions and volumes of sea transportation of liquid hydrocarbons based on simulation modeling Demkin I.V., Nikonov I.M. In: Problems of Risk Analysis, no. 4, pp. 76–90 ISTINA record
  57. 2009 To the 75th anniversary of the death of Dmitry Fedorovich Egorov Nikonov I.M., Fomenko A.T., Shafarevich A.I. In: Historical and Mathematical Studies. Series 2, no. 13(48), pp. 49–53 ISTINA record
  58. 2009 Universal Karoubi characteristic classes of nuclear C*-algebras Nikonov I.M. In: Journal of Mathematical Sciences, published by Plenum Publishers (United States), vol. 129, no. 6, pp. 837–862 ISTINA record
  59. 2008 Application of fuzzy set theory to the problem of project formation Anshin V.M., Demkin I.V., Nikonov I.M., Tsarkov I.N. In: Problems of Risk Analysis, vol. 5, no. 3, pp. 8–21 ISTINA record
  60. 2008 Maximally symmetrical cellular partitions of surfaces and their coverings Kudryavtseva E.A., Nikonov I.M., Fomenko A.T. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 199, no. 9, pp. 3–96 ISTINA record doi
  61. 2008 Organization's project portfolio: strategies, typology, analysis Anshin V.M., Demkin I.V., Nikonov I.M., Tsarkov I.N. In: Upravlenie Proektami i Programmami, no. 1, pp. 14–27 ISTINA record
  62. 2007 A Review of Approaches to Resource Allocation in Project Portfolio Management under Uncertainty Anshin V.M., Demkin I.V., Nikonov I.M., Tsarkov I.N. In: Issues of Risk Analysis, Business Express, vol. 4, no. 3-4, pp. 48–59 ISTINA record
  63. 2007 Analysis of approaches to resource allocation across portfolio projects under conditions of uncertainty Anshin V.M., Demkin I.V., Nikonov I.M., Tsarkov I.N. In: Problems of Risk Analysis, vol. 4, no. 3, pp. 207–221 ISTINA record
  64. 2007 One problem about finding a counterfeit coin Mikhalin D.A., Nikonov I.M. In: Matematicheskoe Prosveshchenie, ser. 3, no. 11, pp. 149–158 ISTINA record
  65. 2007 Portfolio of projects at the service of company management Anshin V.M., Demkin I.V., Nikonov I.M., Tsarkov I.N. In: Praktika Mezhdunarodnogo Biznesa, vol. 3, no. 4, pp. 111–119 ISTINA record
  66. 2007 Universal characteristic Karubi classes of nuclear algebras Nikonov I.M. In: Fundamental and Applied Mathematics, published by KnoRus Publishing House (Moscow), vol. 13, no. 8, pp. 133–169 ISTINA record
  67. 2005 Characteristic Karoubi classes of approximate finite algebras Nikonov I.M. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 196, no. 2, pp. 85–96 ISTINA record
  68. 2005 Sets admitting connection by graphs of finite length Ivanov A.O., Nikonov I.M., Tuzhilin A.A. In: Sbornik: Mathematics, published by London Mathematical Society (United Kingdom), vol. 196, no. 6, pp. 845–884 ISTINA record doi
  69. 2005 Sets that can be connected by graphs of finite length Ivanov A.O., Nikonov I.M., Tuzhilin A.A. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 196, no. 6, pp. 71–110 ISTINA record doi
  70. 2004 Characteristic classes of finite-dimensional semisimple algebras Nikonov I.M. In: Moscow University Mathematics Bulletin, published by Moscow University Press (Moscow), no. 2, pp. 3–7 ISTINA record
  71. 2002 An example of a nontrivial characteristic class of the group algebra C[Z3] Nikonov I.M. In: Moscow University Mathematics Bulletin, published by Moscow University Press (Moscow), no. 4, pp. 58–60 ISTINA record
  72. 2002 Differential Voronovich calculi of dihedral groups Nikonov I.M. In: Moscow University Mathematics Bulletin, published by Moscow University Press (Moscow), no. 6, pp. 10–14 ISTINA record

Book chapters and collected papers

14 records

  1. 2023 Examples of weight systems of framed chord diagrams Ilyutko D.P., Nikonov I.M. In: Algebra, number theory, discrete geometry and multiscale modeling: modern problems, applications and problems of history. Proceedings of the XXII International Conference (Tula, September 26-29, 2023), published in Tula: Tul. state ped. University named after L. N. Tolstoy, p. 224-226 ISTINA record
  2. 2023 Examples of weight systems of framed chord diagrams Ilyutko D.P., Nikonov I.M. In: Materials of the All-Russian scientific and practical conference “Scientist, teacher, mentor”, dedicated to the 85th anniversary of the birth of Professor Albert Rubenovich Yesayan Tula, April 20–21, 2023, published in Tula State Pedagogical University. L. N. Tolstoy Tula, p. 224-226 ISTINA record
  3. 2021 Manifolds of Triangulations, Braid Groups of Manifolds, and the Groups Gamma_n^k Fedoseev D.A., Manturov V.O., Nikonov I.M. In Numerical Geometry, Grid Generation and Scientific Computing, Lecture Notes in Computational Science and Engineering, Springer International Publishing AG (Cham, Switzerland), vol. 143, p. 2 ISTINA record doi
  4. 2018 Assessment of the economic efficiency of two-phase liquefied natural gas production projects using the real options method Khatkov V.Yu., Zubarev G.V., Demkin I.V., Kovalev S.A., Gabrielov A.O., Nikonov I.M. In: Vesti gazovoy nauki, published in Gazprom VNIIGAZ Moscow region, vol. 2, p. 200-212 ISTINA record
  5. 2015 Graph-Links: The State of the Art Ilyutko D.P., Manturov V.O., Nikonov I.M. In New Ideas in Low Dimensional Topology, Series of Knots and Everything, World Scientific Publishing Co (Singapore), vol. 56, p. 189-236 ISTINA record doi
  6. 2014 Virtual Knot Invariants Arising From Parities Ilyutko D.P., Manturov V.O., Nikonov I.M. In Knots in Poland III, Part I, series Banach Center Publications, publishing place Institute of Mathematics, Polish Academy of Sciences Warsaw, vol. 100, p. 99-130 ISTINA record
  7. 2012 The practice of using tools for balancing a company’s development project portfolio, based on the principles of maximizing experience in managing the innovation process Barykin A.N., Nikonov I.M. In: Modern management: problems, hypotheses, research. Collection of scientific works. Issue 4., published in Ed. House of National Research University Higher School of Economics, Moscow, vol. 1, p. 121-134 ISTINA record
  8. 2011 Analysis of approaches to assessing geopolitical risks Lukyanovich N.V., Demkin I.V., Gabrielov A.O., Barkhatov V.D., Nikonov I.M. In: Globalization of the natural gas market, published in Gazprom VNIIGAZ LLC Moscow, p. 152-165 ISTINA record
  9. 2011 Arbitration as a factor of globalization and a mechanism for reducing risks and increasing the investment attractiveness of energy production and supply projects (using the example of LNG projects) Meshcherin I.V., Demkin I.V., Nikonov I.M., Gabrielov A.O. In: Globalization of the natural gas market, published in Gazprom VNIIGAZ LLC Moscow, p. 165-174 ISTINA record
  10. 2011 Quantitative assessment of the economic efficiency of using arbitration (using the example of LNG projects) Nikonov I.M., Demkin I.V., Gabrielov A.O., Safonov V.S., Zubarev G.V. In: Globalization of the natural gas market, published in Gazprom VNIIGAZ LLC Moscow, p. 174-179 ISTINA record
  11. 2009 Symmetric and irreducible abstract polyhedra Kudryavtseva E.A., Nikonov I.M., Fomenko A.T. In: Mathematics. Issue 2. Geometry and topology, series Modern Problems of Mathematics and Mechanics, published in M.V. Lomonosov Moscow State University, p. 58-97 ISTINA record
  12. 2009 Universal coefficients of cyclic homology of Hopf algebras Nikonov I.M. In: Modern Problems of Mathematics and Mechanics, series 3, published in MSU Moscow, vol. 3, p. 98-103 ISTINA record
  13. 2006 On the Hopf-type cyclic cohomology with coefficients Nikonov I.M., Sharygin G.I. In C*-algebras and elliptic theory, Trends in Mathematics, Birkhauser Verlag Basel, p. 203-212 ISTINA record
  14. 2005 Geometry of trees of finite length in metric spaces Ivanov A.O., Nikonov I.M., Tuzhilin A.A. In: Proceedings of the Seminar on Vector and Tensor Analysis, published in of Moscow State University Moscow, vol. 26, p. 178-200 ISTINA record

Books, textbooks and preprints

12 records

  1. 2026 Combinatorics and geometry in problems and exercises Ilyutko D.P., Manturov V.O., Nikonov I.M. MAKS Press (Moscow), ISBN 978-5-317-07571-2, 149 pp. ISTINA record
  2. 2026 LOW-DIMENSIONAL TOPOLOGY AND COMBINATORICS: nodes, braids and graphs Ilyutko D.P., Manturov V.O., Nikonov I.M. MAKS Press (Moscow), ISBN 978-5-317-07678-8, 113 pp. ISTINA record
  3. 2026 Mathematical models of economics. Part 2: Economic Equilibrium Nikonov I.M., Trofimov V.V., Tuzhilin A.A. MAKS Press (Moscow), ISBN 978-5-317-07570-5, 120 pp. ISTINA record
  4. 2021 Matrices and cross graphs Ilyutko D.P., Nikonov I.M. Polytope Kaluga, ISBN 978-5-93821-296-1, 160 pp. ISTINA record
  5. 2020 Invariants and Pictures Manturov V.O., Fedoseev D.A., Kim S., Nikonov I.M. World Scientific Publishing Co (Singapore), ISBN 978-981-12-2011-1, 388 p. ISTINA record doi
  6. 2015 Parity and Patterns in Low-Dimensional Topology Ilyutko D.P., Manturov V.O., Nikonov I.M. Cambridge Scientific Publishers England, ISBN 978-1908106476, 182 pp. ISTINA record
  7. 2013 Combinatorial topology and graph theory in problems and exercises Ilyutko D.P., Manturov V.O., Nikonov I.M. Yaroslavl State University named after P.G.Demidova Yaroslavl, ISBN 978-5-8397-0980-5, 150 pp. ISTINA record
  8. 2013 Low-dimensional topology and combinatorics in original problems Ilyutko D.P., Manturov V.O., Nikonov I.M. Publishing house of the Board of Trustees at the Faculty of Mechanics and Mathematics of Moscow University Moscow, Russia, ISBN 978-5-211-05652-7, 110 pp. ISTINA record
  9. 2013 Parity in knot theory and graph-links Ilyutko D.P., Manturov V.O., Nikonov I.M. Plenum Publishers (United States), 157 pp. DOI ISTINA record doi
  10. 2012 Mathematical models of economics. Spring semester Nikonov I.M., Tuzhilin A.A. Publishing house of the Board of Trustees of the Faculty of Mechanics and Mathematics of Moscow State University Moscow, 120 p. ISTINA record
  11. 2011 Parity in knot theory and graph linking Ilyutko D.P., Manturov V.O., Nikonov I.M. Contemporary Mathematics. Fundamental Directions Moscow, 163 pp. ISTINA record
  12. 2008 Project portfolio management models under conditions of uncertainty Anshin V.M., Demkin I.V., Tsarkov I.N., Nikonov I.M. MATI Moscow, 194 p. ISTINA record

Conference abstracts

3 records

  1. 2024 Topological interpretation of universal labels of node diagram elements Nikonov I.M. In: Abstracts of reports of the international scientific conference "Mathematics in the constellation of sciences" (Moscow, April 1-2, 2024), published in Moscow University Publishing House Moscow, abstracts, p. 89-91 ISTINA record
  2. 2017 Diagrammatic approach in knot theory and its applications in graph theory Ilyutko D.P., Nikonov I.M. In: Candidates for awards 2017. Abstracts of works, published by Moscow University Press (M.), abstracts, p. 35-36 ISTINA record
  3. 2008 Maximally symmetrical cellular partitions of surfaces and their coverings Kudryavtseva E.A., Nikonov I.M., Fomenko A.T. In: International conference "Differential Equations and topology", dedicated to the 100th anniversary of the birth of Lev Semenovich Pontryagin. Moscow, abstracts of reports, published in MSU Moscow, abstracts, p. 471-471 ISTINA record

Conference talks

30 records

  1. 2026 Homotopical multicrossing complex Nikonov I.M. VII International Conference “Groups and Quandles in Low-Dimensional Topology”, Tomsk, Russia, June 9-11, 2026
  2. 2026 Node intersection complex and secant classes Nikonov I.M. VI Conference of mathematical centers of Russia, Kazan, Russia, August 17-22, 2026
  3. 2026 Oriented graph-links: invariants and classification Ilyutko D.P., Nikonov I.M. 12th Russian-Chinese Conference on Knot Theory and Related Issues, Federal Territory "Sirius", Russia, June 22-26, 2026
  4. 2025 On crossoid structure on knots Nikonov I.M. The 11th Sino-Russian Conference on Knot Theory and Related Topics, Xi'an Jiaotong-Liverpool University, Suzhou, China, June 30 - July 4, 2025
  5. 2025 The crossing and the arc from the topological viewpoint Nikonov I.M. The First International On-line Knot Theory Congress, online, USA, February 1-5, 2025
  6. 2024 Biquandloids of knots in thickened surfaces Nikonov I.M. 5 International Conference GROUPS AND QUANDLES in LOW-DIMENSIONAL TOPOLOGY, Tomsk State University (34a Lenina ave., Tomsk), Russia, June 13-15, 2024
  7. 2024 Partial tribrackets of knots in thickened surfaces Nikonov I.M. 10th Russian-Chinese Conference on Knot Theory and Related Topics, Sochi, Sirius, Russia, September 30 - October 4, 2024
  8. 2024 Topological interpretation of universal labels of node diagram elements Nikonov I.M. International scientific conference "Mathematics in the constellation of sciences" for the anniversary of Academician V.A. Sadovnichego, Moscow, Russia, April 1-2, 2024
  9. 2023 Examples of weight systems of framed chord diagrams Ilyutko D.P., Nikonov I.M. Algebra, number theory, discrete geometry and multiscale modeling: modern problems, applications and problems of history XXII International Conference, Tula, Russia, September 26-29, 2023
  10. 2023 On topological interpretation of universal parity-like labellings Nikonov I.M. 9th China-Russia Conference on Knot Theory and Related Topics, Jilin University, Changchun, China, August 16-18, 2023
  11. 2023 The crossing and the arc from the topological viewpoint Nikonov I.M. Geometric and algebraic methods in knot theory, International Mathematical Center "Sirius", Russia, September 16-20, 2023
  12. 2022 Crossing tribes of tangles in a thickened surface Nikonov I.M. Knot theory and applications, Tomsk, Russia, June 29 - July 5, 2022
  13. 2022 On skein invariants Nikonov I.M. The 2nd China-Russia Conference on Topology and Combinatorics, Yanqi Lake Beijing Institute of Mathematical Sciences and Applications, Beijing, China, China, December 22-25, 2022
  14. 2022 On the principle of indistinguishability of intersections of classical nodes Nikonov I.M. Lomonosov readings, 2022, Moscow, Russia, April 15-22, 2022
  15. 2022 Traits of crossings and functorial maps Nikonov I.M. International conference "Geometry and topology of three-dimensional manifolds", Federal Territory Sirius, Russia, September 17-21, 2022
  16. 2021 Intersection formulas for parities on virtual knots Nikonov I.M. VIII Russian-Chinese Conference on Knot Theory and Related Topics, Novosibirsk State University, Russia, December 24-26, 2021
  17. 2021 On the principle of indistinguishability for crossings of classical knots Nikonov I.M. Second Russian-Korean Conference on Knot Theory and Related Issues, Moscow, Russia, November 29 - December 3, 2021
  18. 2021 Virtual index cocycle and virtual node invariants Nikonov I.M. Lomnosov readings 2021, MSU FYAR, Russia, April 26-28, 2021
  19. 2020 A Khovanov stable homotopy type for links in thickened higher genus surfaces Nikonov I.M. First Korea-Russia Conference on Knot theory and Related Topics, Remote conference, Russia, November 3-6, 2020
  20. 2020 Manifolds of triangulations, braid groups of manifolds, and the groups Gamma_n^k Fedoseev D.A., Manturov V.O., Nikonov I.M. Numerical Geometry, Grid Generation and Scientific Computing, Moscow, Russia, November 25-27, 2020
  21. 2020 Virtual index cocycles and invariants of virtual links Nikonov I.M. 7th Chinese-Russian Conference on Knot Theory and Related Topics, Beijing, China, December 3-6, 2020
  22. 2018 On some combinatorial aspect of knot theory Nikonov I.M. The 1st International Undergraduate Mathematics Summer School, Peking University, China, July 15-28, 2018
  23. 2018 Parity on based matrices Nikonov I.M. The Fifth China-Russia Workshop on Knot Theory and Related Topics, Dalian, China, August 2-6, 2018
  24. 2017 Diagrammatic approach in knot theory and its applications in graph theory Ilyutko D.P., Nikonov I.M. Reports of candidates for the 2017 awards, Moscow, Russia, December 7-8, 2017
  25. 2015 On braids and groups G_n^k Nikonov I.M. The Second China-Russia Workshop on Knot Theory and Related Topics Novosibirsk, August 21 – 25, 2015, Novosibirsk, Russia, August 21-25, 2015
  26. 2014 A new proof of Vassiliev's conjecture Nikonov I.M. First Russian Chinese workshop on knot theory and related topics, Beijing, China, China, 2014
  27. 2012 Branching extremals in normed spaces and length formula Nikonov I.M., Ilyutko D.P. Yaroslavl international conference “Discrete Geometry” dedicated to centenary of A.D.Alexandrov, Yaroslavl', Russia, 2012
  28. 2012 Extremal Networks and Maxwell Formula Ilyutko D.P., Nikonov I.M. International topological conference "Alexandrovsky readings", Moscow, Russia, 2012
  29. 2012 Extremal networks in normed planes and Maxwell formula Ilyutko D.P., Nikonov I.M. XVII geometrical seminar, Zlatibor, Serbia, Serbia, 2012
  30. 2012 Functorial maps and weak parities Nikonov I.M. International topological conference "Alexandroff Readings" Moscow, May 21-25, 2012, Moscow, Russia, May 21-25, 2012