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Gleb V. Belozerov

Full list of publications: department page and ISTINA profile (IRID 230938905)

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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 59 bibliographic records: 16 journal articles, 8 conference abstracts, 35 conference talks.

Journal articles

16 records

  1. 2026 Billiard with Coulomb Potential Inside an Elliptic Ring Belozerov G.V., Galkin S.A. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 33, no. 2, pp. 225–240 ISTINA record
  2. 2026 Multidimensional elliptic billiards and their singularities Belozerov G.V. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 217, pp. 25–66 ISTINA record
  3. 2025 Hidden symmetries in Hamiltonian geometry, topology, physics and mechanics Fomenko A.T., Belozerov G.V. In: Priroda, published by Nauka Publishing House (Moscow), no. 1, pp. 23–29 ISTINA record doi
  4. 2025 Non-degenerate Singularities of a Three-dimensional Billiard Bounded by an Ellipsoid in a Hooke Potential Field Belozerov G.V. In: Lobachevskii Journal of Mathematics, published by Kazanskii Gosudarstvennyi Universitet/Kazan State University (Russian Federation), vol. 46, no. 3, pp. 983–1000 ISTINA record doi
  5. 2025 Singularities of three-dimensional billiards bounded by confocal quadrics Belozerov G.V., Fomenko Anatoly In: Theoretical and Applied Mechanics, vol. 52, no. 2, pp. 127–159 ISTINA record doi
  6. 2025 Topology of Liouville foliations of three-dimensional billiards with slip Belozerov G.V., Zavyalov V.N. In: Chebyshevskii Sbornik, published by Tula State Lev Tolstoy Pedagogical University (Tula), vol. 26, no. 2, pp. 7–32 ISTINA record doi
  7. 2025 Trajectory invariants of non-compact integrable systems with two degrees of freedom Belozerov G.V., Fomenko A.T. In: Moscow University Mathematics Bulletin, published by Moscow University Press (Moscow), no. 2, pp. 79–83 ISTINA record doi
  8. 2024 Generalized Jacobi–Chasles theorem in non-Euclidean spaces Belozerov G.V., Fomenko A.T. In: Sbornik: Mathematics, published by London Mathematical Society (United Kingdom), vol. 215, no. 9, pp. 1159–1181 ISTINA record doi
  9. 2024 Generalized Jacobi–Chasles theorem in non-Euclidean spaces Belozerov G.V., Fomenko A.T. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 215, no. 9, pp. 30–55 ISTINA record doi
  10. 2024 Rotation Functions of Integrable Billiards As Orbital Invariants Belozerov G.V., Fomenko A.T. In: Doklady Mathematics, published by Maik Nauka/Interperiodica Publishing (Russian Federation), vol. 109, no. 1, pp. 1–5 ISTINA record doi
  11. 2024 Trajectory invariants of billiards and linearly integrable geodesic flows Belozerov G.V., Fomenko A.T. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 215, no. 5, pp. 3–46 ISTINA record doi
  12. 2023 Geodesic flow at the intersection of several confocal quadrics in R^n Belozerov G.V. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 214, no. 7, pp. 3–26 ISTINA record doi
  13. 2023 Integrability of a geodesic flow at the intersection of several confocal quadrics Belozerov G.V. In: Doklady Mathematics, published by Russian Academy of Sciences (Moscow), vol. 509, pp. 5–7 ISTINA record doi
  14. 2022 Topological classification of billiards in three-dimensional Euclidean space bounded by confocal quadrics Belozerov G.V. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 213, no. 2, pp. 3–36 ISTINA record
  15. 2022 Topology of isoenergetic 5-surfaces of a three-dimensional billiard inside a triaxial ellipsoid with Hooke's potential Belozerov G.V. In: Moscow University Mathematics Bulletin, published by Moscow University Press (Moscow), vol. 77, no. 6, pp. 21–31 ISTINA record doi
  16. 2020 Topological classification of integrable geodesic billiards in three-dimensional Euclidean space Belozerov G.V. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 211, no. 11, pp. 3–40 ISTINA record doi

Conference abstracts

8 records

  1. 2024 System trajectories, equivalence recognition, billiards Fomenko A.T., Belozerov G.V. In: International Conference “Mathematics in the Constellation of Sciences”. On the anniversary of the rector of Moscow State University, academician Viktor Antonovich Sadovnichy. Abstracts of reports, published in Moscow University Publishing House Moscow, abstracts, pp. 37–39 ISTINA record
  2. 2021 A topological classification of three-dimensional billiards bounded by confocal quadrics Belozerov G.V. In: Book of Abstracts Student Educational School-Conference Mathematical Spring 2021 Invitation to Dynamical Systems, published in National Research University Higher School of Economics Nizhny Novgorod, abstracts, p. 2 ISTINA record
  3. 2021 Billiard bounded by three-axial ellipsoid in a Hooke po-tential field Belozerov G.V. In: Third International Conference on Integrable Systems and Nonlinear Dynamics, and School "Integrable and Nonlinear Days": Book of Abstracts. Yaroslavl: YarSU, 2021.– 114 p. – (October 4–8, 2021, Yaroslavl), published by G. Demidov Yaroslavl State University (Yaroslavl), abstracts, p. 4 ISTINA record
  4. 2021 Billiard inside a triaxial ellipsoid with Hooke's potential Belozerov G.V. In: Materials of the International Youth Scientific Forum "Lomonosov-2021", published by MAKS Press (Moscow), abstracts ISTINA record
  5. 2020 Description of the Liouville foliation of billiards in three-dimensional Euclidean space bounded by confocal quadrics Belozerov G.V. In: Some questions of analysis, algebra, geometry and mathematical education: materials of the international youth scientific school “Current directions of mathematical analysis and related issues”, series 10, published in Federal State Budgetary Educational Institution of Higher Education Voronezh State Pedagogical University Voronezh, vol. 1, abstracts, pp. 28–29 ISTINA record
  6. 2020 Topological classification of geodesic billiards in three-dimensional Euclidean space bounded by confocal quadrics Belozerov G.V. In: Materials of the International Youth Scientific Forum "Lomonosov-2020", published by MAKS Press (Moscow), abstracts ISTINA record
  7. 2020 Topological classification of integrable geodesic billiards on quadrics in three-dimensional Euclidean space Belozerov G.V. In: Materials of the International Conference "Voronezh Winter Mathematical School of S.G. Krein - 2020", published in Publishing and Printing Center "Scientific Book" Voronezh, abstracts, p. 9 ISTINA record
  8. 2019 Topological classification of billiards on conics in three-dimensional space Belozerov G.V. In: Materials of the International Youth Scientific Forum "Lomonosov-2019", published by MAKS Press (Moscow), abstracts ISTINA record

Conference talks

35 records

  1. 2026 Construction of multidimensional quadrics using a thread and some generalizations of this Belozerov G.V. Dynamics in Siberia - 2026, Institute of Mathematics named after S.L. Sobolev, Novosibirsk, Russia, March 2-6, 2026
  2. 2026 On constructing multidimensional quadrics using a thread Belozerov G.V. VI Conference of Mathematical Centers, Kazan, Russia, August 17-22, 2026
  3. 2025 Generalized Jacobi-Chasles theorem in non-Euclidean spaces Fomenko A.T., Belozerov G.V. Asymptotic methods in mathematical physics 2025, Moscow, Russia, June 17, 2025
  4. 2025 Liouville foliations of multidimensional confocal billiards Belozerov G.V. IX International Youth Scientific School-Conference “Current directions of mathematical analysis and related issues”, Voronezh, Russia, November 10-11, 2025
  5. 2025 Multidimensional integrable billiards and their properties Belozerov G.V. Algebra, geometry and algebraic geometry, Novosibirsk, IM SB RAS, Russia, December 1-5, 2025
  6. 2025 Singularities of three-dimensional billiards bounded by confocal quadrics Belozerov G.V. Dynamics in Siberia 2025, Novosibirsk, Russia, February 24 - March 1, 2025
  7. 2025 Topology of Liouville foliations of multidimensional confocal billiards Belozerov G.V. V Conference of Russian Mathematical Centers, Krasnoyarsk, Russia, August 11-16, 2025
  8. 2024 Jacobi-Chasles theorem and its generalizations Belozerov G.V. 043w: Integrated systems and their applications, Sochi, Sirius, Russia, September 2-6, 2024
  9. 2024 Jacobi-Chasles theorem in non-Euclidean spaces Belozerov G.V., Fomenko A.T. Conference on geometric analysis dedicated to the 95th anniversary of academician Yu.G. Reshetnyak, Novosibirsk, Institute of Mathematics named after S.L. Sobolev, Russia, September 22-28, 2024
  10. 2024 Singularities of three-dimensional confocal billiards with Hooke's potential Belozerov G.V. Student school-conference “Mathematical Spring – 2024”, National Research University Higher School of Economics - Nizhny Novgorod, Russia, March 25-28, 2024
  11. 2024 System trajectories, equivalence recognition, billiards Fomenko A.T., Belozerov G.V. International scientific conference "Mathematics in the constellation of sciences" for the anniversary of Academician V.A. Sadovnichego, Moscow, Russia, April 1-2, 2024
  12. 2024 Topology of singularities of three-dimensional confocal billiards with Hooke potential Belozerov G.V. XXXI International Conference of Students, Postgraduate Students and Young Scientists “Lomonosov-2024” (Section “Foreign Languages and Regional Studies”), Moscow State University named after M.V. Lomonosov Faculty of Foreign Languages and Regional Studies, Russia, April 12-26, 2024
  13. 2024 Trajectory equivalences of compact and non-compact integrable systems Belozerov G.V., Fomenko A.T. All-Russian conference "Asymptotic methods in mathematical physics", dedicated to the memory of V.P. Maslov, Moscow, Institute of Problems of Mechanics. A.Yu. Ishlinsky, Faculty of Physics, Moscow State University. M.V. Lomonosov, Russia, June 17-19, 2024
  14. 2024 Trajectory invariants of billiards Belozerov G.V., Fomenko A.T. Voronezh Winter Mathematical School S.G. Krein – 2024, Voronezh, Russia, January 26-30, 2024
  15. 2023 Edge trajectory invariants of plane billiards and billiard books Belozerov G.V. III Conference of Russian Mathematical Centers (October 10-15, 2023, Russia, Maykop), Maykop, Russia, October 10-15, 2023
  16. 2023 Generalization of the Jacobi-Chasles theorem for spaces of constant curvature Belozerov G.V., Fomenko A.T. Lomonosov readings 2023, Russia, April 4-14, 2023
  17. 2023 Generalizations of the Jacobi-Chasles theorem Belozerov G.V. School-conference "Modern geometric methods and their applications - 2023", Moscow, Russia, October 29 - November 4, 2023
  18. 2023 Three-dimensional billiard inside an ellipsoid in Minkowski space R^{2,1} Belozerov G.V. XXX International Scientific Conference of Students, Postgraduate Students and Young Scientists “Lomonosov-2023”, Moscow, Moscow State University named after M.V. Lomonosov, Russia, April 10-21, 2023
  19. 2023 Topology of the Liouville foliation of a billiard bounded by an ellipsoid in the Minkowski space R^{2,1} Belozerov G.V. Student school-conference “Mathematical Spring” 2023, Higher School of Economics Nizhny Novgorod, Russia, March 27-30, 2023
  20. 2022 3D billiards with slipping on a focusless table Belozerov G.V., Zavyalov V.N. VI International Youth Scientific School “Current directions of mathematical analysis and related issues”, Voronezh, Russia, November 14-15, 2022
  21. 2022 Billiards with Hooke's potential on some three-dimensional tables bounded by confocal quadrics Belozerov G.V. 2nd Conference of Russian Mathematical Centers, Moscow, Russia, November 7-11, 2022
  22. 2022 Geodesic flow at the intersection of confocal quadrics Belozerov G.V. VI International Youth Scientific School “Current directions of mathematical analysis and related issues”, Voronezh, Russia, November 14-15, 2022
  23. 2022 Integrable billiards and its applications Fomenko A.T., Belozerov G.V. XXI geometrical seminar, Belgrade, Serbia, June 26 - July 2, 2022
  24. 2022 Topological properties of billiards with Hooke potential on some three-dimensional confocal tables Belozerov G.V., Fomenko A.T. Annual scientific conference "Lomonosov Readings" 2022 (mathematics section), Moscow, Russia, April 14-22, 2022
  25. 2021 A topological classification of billiards bounded by confocal quadrics in three-dimensional Euclidean space Belozerov G. Dynamics in Siberia-2021, Novosibirsk, NSU, Institute of Mathematics named after S.L. Sobolev SB RAS, Russia, March 1-7, 2021
  26. 2021 A topological classification of three-dimensional billiards bounded by confocal quadrics Belozerov G.V. Student Educational School-Conference Mathematical Spring 2021 Invitation to Dynamical Systems, National Research University Higher School of Economics, Russia, March 30 - April 2, 2021
  27. 2021 Billiard bounded by three-axial ellipsoid in a Hooke potential field Belozerov G.V. 3rd International Conference on Integrated Systems & Nonlinear Dynamics, Yaroslavl, G. Demidov Yaroslavl State University, Russia, October 4-8, 2021
  28. 2021 Billiard inside a triaxial ellipsoid under the action of elastic force Belozerov G.V. V-th international youth scientific school “Current directions of mathematical analysis and related issues”, dedicated to the 90th anniversary of the Voronezh State Pedagogical University. Voronezh, Voronezh, Russia, November 15-17, 2021
  29. 2021 Billiard inside a triaxial ellipsoid with Hooke's potential Belozerov G.V. XXVIII International Scientific Conference of Students, Postgraduate Students and Young Scientists "Lomonosov 2021", Moscow State University. M.V. Lomonosov, Moscow, Russia, April 12-23, 2021
  30. 2021 Billiard inside an ellipsoid under the influence of Hooke's force Belozerov G.V. International conference “Classical and modern geometry”, dedicated to the 100th anniversary of the birth of Levon Sergeevich Atanasyan, Faculty of Mathematics, Moscow State University, Russia, November 1-4, 2021
  31. 2020 Description of the Liouville foliation of billiards in three-dimensional Euclidean space bounded by confocal quadrics Belozerov G.V. IV International Youth Scientific School “Current directions in mathematical analysis and related issues”, dedicated to the 90th anniversary of the birth of Professor Yu.G. Borisovich, Voronezh, Russia, November 9-11, 2020
  32. 2020 Topological classification of billiards in three-dimensional Euclidean space bounded by confocal quadrics Belozerov G.V. Lomonosov Readings - 2020. Section of Theory and Practice of Public Administration, Moscow, Moscow State University named after M.V. Lomonosov, Russia, October 17-29, 2020
  33. 2020 Topological classification of geodesic billiards in three-dimensional Euclidean space bounded by confocal quadrics Belozerov G.V. XXVII International Scientific Conference of Students, Postgraduate Students and Young Scientists "Lomonosov 2020", Moscow, Russia, November 20, 2020
  34. 2020 Topological classification of integrable geodesic billiards on quadrics in three-dimensional Euclidean space Belozerov G.V. Voronezh Winter Mathematical School by S.G. Krein – 2020, Voronezh, Russia, January 27 - February 4, 2020
  35. 2019 Topological classification of billiards on conics in three-dimensional space Belozerov G.V. International scientific conference of students, graduate students and young scientists “Lomonosov-2019”, Moscow, Russia, April 11, 2019