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Anatoliĭ Timofeevich Fomenko

Anatoliĭ Timofeevich Fomenko

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Mathematics
Russia
2026

D-Index & Metrics

Mathematics

D-Index
44
Citations
10989
World Ranking
1554
National Ranking
14

Research.com Recognitions

  • 2026 - Research.com Mathematics in Russia Leader Award
  • 2025 - Research.com Mathematics in Russia Leader Award

Overview

Anatoliĭ Timofeevich Fomenko is affiliated with Lomonosov Moscow State University in the Russian Federation. Their academic work spans across several interrelated fields of study, primarily focusing on Physics and Astronomy as well as Mathematics.

The scientist's research is notably concentrated in multiple subfields, including:

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Geometry and Topology
  • Nuclear and High Energy Physics
  • Astronomy and Astrophysics

Key topics explored in their work feature themes such as:

  • Quantum chaos and dynamical systems
  • Mathematical Dynamics and Fractals
  • Nonlinear Waves and Solitons
  • Advanced Differential Equations and Dynamical Systems
  • Geometric and Algebraic Topology
  • Black Holes and Theoretical Physics
  • Scientific Research and Discoveries

Fomenko's recent academic papers include the following publications:

  • Liouville Foliations of Topological Billiards with Slipping, 2021, Russian Journal of Mathematical Physics
  • Topological Modeling of Integrable Systems by Billiards: Realization of Numerical Invariants, 2020, Doklady Mathematics
  • Noncompact Bifurcations of Integrable Dynamic Systems, 2020, Journal of Mathematical Sciences
  • Force Evolutionary Billiards and Billiard Equivalence of the Euler and Lagrange Cases, 2021, Doklady Mathematics
  • Billiards and integrable systems, 2023, Russian Mathematical Surveys

The scientist frequently publishes in venues such as:

  • Doklady Mathematics
  • Russian Journal of Mathematical Physics
  • Russian Mathematical Surveys
  • Успехи математических наук
  • Sbornik Mathematics

Collaboration has been an integral aspect of this researcher's career. Frequent co-authors include:

  • В. А. Кибкало
  • Глеб Владимирович Белозеров
  • V. V. Vedyushkina
  • Viktoriya Viktorovna Vedyushkina
  • А. И. Шафаревич

Best Publications

  • Modern Geometry-Methods and Applications(Part II. The Geometry and Topology of Manifolds)

    B. A Dubrovin;S. P Novikov;A. T Fomenko

  • Modern geometry--methods and applications

    B. A. Dubrovin;S. P. Novikov;A. T. Fomenko

  • Integrable Hamiltonian Systems: Geometry, Topology, Classification

    A. V. Bolsinov;Anatoliĭ Timofeevich Fomenko

  • Generalized Liouville method of integration of Hamiltonian systems

    Unknown

  • Euler equations on finite-dimensional Lie groups

    A S Miščenko;A T Fomenko

  • Topological Modeling for Visualization

    Anatoliĭ Timofeevich Fomenko;利泰 國井

  • Modern Geometry - Methods and Applications Part I: The Geometry of Surfaces, Transformation Groups, and Fields

    B. A Dubrovin;A. T Fomenko;S. P Novikov

  • THE INDEX OF ELLIPTIC OPERATORS OVER C*-ALGEBRAS

    Unknown

  • Integrability and Nonintegrability in Geometry and Mechanics

    A. T. Fomenko

  • The Topology of Surfaces of Constant Energy in Integrable Hamiltonian Systems, and Obstructions to Integrability

    A T Fomenko

  • Topological classification of integrable Hamiltonian systems with two degrees of freedom. List of systems of small complexity

    A V Bolsinov;S V Matveev;A T Fomenko

  • A TOPOLOGICAL INVARIANT AND A CRITERION FOR THE EQUIVALENCE OF INTEGRABLE HAMILTONIAN SYSTEMS WITH TWO DEGREES OF FREEDOM

    A T Fomenko;Kh Tsishang

  • The symplectic topology of completely integrable Hamiltonian systems

    A T Fomenko

  • Integrable systems on Lie algebras and symmetric spaces

    Anatoliĭ Timofeevich Fomenko;V. V. Trofimov

  • A course of differential geometry and topology

    Aleksandr Sergeevich Mishchenko;Anatoliĭ Timofeevich Fomenko

  • Algorithmic and Computer Methods for Three-Manifolds

    A. T. Fomenko;S. V. Matveev

  • Two-dimensional Riemannian metrics with integrable geodesic flows. Local and global geometry

    A. V. Bolsinov;V. S. Matveev;A. T. Fomenko

  • Differential Geometry and Topology

    Anatoliĭ Timofeevich Fomenko

  • Constant energy surfaces of Hamiltonian systems, enumeration of three-dimensional manifolds in increasing order of complexity, and computation of volumes of closed hyperbolic manifolds

    S V Matveev;A T Fomenko

  • INTEGRATION OF EULERIAN EQUATIONS ON LIE SEMISIMPLE ALGEBRAS

    A.S. Mishchenko;A.T. Fomenko

  • Morse theory of integrable Hamiltonian systems

    A.T. Fomenko

  • The geometry of surfaces, transformation groups, and fields

    B. A. Dubrovin;Anatoliĭ Timofeevich Fomenko;Sergeĭ Petrovich Novikov;Robert G. Burns

  • Nonlinear analysis on Manifolds: Monge-Ampère equations

    A. T. Fomenko;N. V. Krylov

Frequent Co-Authors

S. P. Novikov
S. P. Novikov Russian Academy of Sciences
Boris Dubrovin
Boris Dubrovin International School for Advanced Studies
Alexander Ivanovich Aptekarev
Alexander Ivanovich Aptekarev Keldysh Institute of Applied Mathematics
Vsevolod A. Tkachuk
Vsevolod A. Tkachuk Lomonosov Moscow State University
Vladimir P. Skulachev
Vladimir P. Skulachev Lomonosov Moscow State University

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