Sergiy Maksymenko

@imath.kiev.ua

Algebra and Topology Department
Institute of Mathematics, National Academy of Sciences of Ukraine

Sergiy Maksymenko


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https://researchid.co/sergiy_maksymenko

RESEARCH, TEACHING, or OTHER INTERESTS

Mathematics, Geometry and Topology, Mathematics
713

Scholar Citations

16

Scholar h-index

24

Scholar i10-index

RECENT SCHOLAR PUBLICATIONS

  • Automorphisms and Endomorphisms of the Partitions of Topological Spaces
    S Maksymenko, E Polulyakh
    Ukrainian Mathematical Journal 78 (3), 18 , 2026
    2026
  • One-dimensional non-Hausdorff manifolds and CW complexes
    I Vlasenko, S Maksymenko
    arXiv preprint arXiv:2604.21868 , 2026
    2026
  • Classification of differentiable structures on the non-Hausdorff line with two origins
    M Lysynskyi, S Maksymenko
    Geometric Methods in Physical Systems: From Differentiable Structures to … , 2026
    2026
    Citations: 3
  • Differentiable structures on a union of two open sets
    M Lysynskyi, S Maksymenko
    Topology and its Applications, 109687 , 2025
    2025
    Citations: 1
  • Smooth functions that split a Klein bottle into two M\" obius bands"
    B Mazhar, S Maksymenko
    arXiv preprint arXiv:2508.19636 , 2025
    2025
  • Deformational symmetries of smooth functions on non-orientable surfaces
    I Kuznietsova, S Maksymenko
    2025
    Citations: 5
  • Vector bundle automorphisms preserving Morse-Bott foliations
    S Maksymenko
    Differential Geometry and its Applications 97, 102189 , 2024
    2024
    Citations: 1
  • Homotopy types of diffeomorphism groups of polar Morse–Bott foliations on lens spaces, 2
    S Maksymenko
    Journal of Homotopy and Related Structures 19 (2), 239-273 , 2024
    2024
    Citations: 7
  • Topological actions of wreath products
    S Maksymenko
    European Journal of Mathematics 10 (2), 21 , 2024
    2024
    Citations: 2
  • Homotopy types of stabilizers of Morse-Bott functions on 3-manifolds
    S Maksymenko
    The purpose of this conference is to bring together researchers in geometry … , 2024
    2024
  • Homotopy types of diffeomorphism groups of polar Morse–Bott foliations on lens spaces, 1
    O Khokhliuk, S Maksymenko
    Journal of Homotopy and Related Structures 18 (2), 313-356 , 2023
    2023
    Citations: 5
  • Diffeomorphism groups of Morse-Bott foliation on the solid Klein bottle by Klein bottles parallel to the boundary
    S Maksymenko
    arXiv preprint arXiv:2306.11858 , 2023
    2023
    Citations: 2
  • Homotopy types of diffeomorphisms groups of simplest Morse-Bott foliations on lens spaces
    S Maksymenko
    Algebraic and Geometric Methods of Analysis, 62 , 2023
    2023
    Citations: 2
  • Deformational symmetries of functions with isolated singularities on the Mobius band
    I Kuznietsova, S Maksymenko
    Algebraic and Geometric Methods of Analysis, 54 , 2023
    2023
  • Fundamental groupoids and homotopy types of non-compact surfaces
    S Maksymenko, O Nikitchenko
    Groups, Invariants, Integrals, and Mathematical Physics: The Wisła 20-21 … , 2023
    2023
    Citations: 2
  • Foliated and compactly supported isotopies of regular neighborhoods
    O Khokhliuk, S Maksymenko
    arXiv preprint arXiv:2208.05876 , 2022
    2022
    Citations: 5
  • Letter of Ukrainian mathematicians
    Y Drozd, R Hryniv, O Karlova, S Maksymenko
    European Mathematical Society Magazine, 65-65 , 2022
    2022
  • Morse Index of Saddle Equilibria of Gradient-Like Flows on Connected Sums of
    VZ Grines, EY Gurevich
    Mathematical Notes 111 (3), 624-627 , 2022
    2022
    Citations: 4
  • Homeotopy groups of leaf spaces of one-dimensional foliations on non-compact surfaces with non-compact leaves
    S Maksymenko, E Polulyakh
    arXiv preprint arXiv:2202.07770 , 2022
    2022
    Citations: 3
  • Morse index of saddle equilibria of gradient-like flows on connected sums of
    V Grines, E Gurevich, S Maksymenko
    arXiv preprint arXiv:2111.03801 , 2021
    2021
    Citations: 1

MOST CITED SCHOLAR PUBLICATIONS

  • Homotopy types of stabilizers and orbits of Morse functions on surfaces
    S Maksymenko
    Annals of Global Analysis and Geometry 29 (3), 241-285 , 2006
    2006
    Citations: 85
  • Smooth shifts along trajectories of flows
    S Maksymenko
    Topology and its Applications 130 (2), 183-204 , 2003
    2003
    Citations: 50
  • Deformations of functions on surfaces by isotopic to the identity diffeomorphisms
    S Maksymenko
    Topology and its Applications 282, 107312 , 2020
    2020
    Citations: 42
  • Path-components of Morse mappings spaces of surfaces
    S Maksymenko
    Commentarii Mathematici Helvetici 80 (3), 655-690 , 2005
    2005
    Citations: 27
  • Stabilizers and orbits of smooth functions
    S Maksymenko
    Bulletin des sciences mathematiques 130 (4), 279-311 , 2006
    2006
    Citations: 26
  • Kolmogorov-Sinai entropy via separation properties of order-generated sigma-algebras
    A Antoniouk, K Keller, S Maksymenko
    arXiv preprint arXiv:1304.4450 , 2013
    2013
    Citations: 25
  • Homotopic Properties of the Spaces of Smooth Functions on a 2-Torus
    SI Maksimenko, BG Feshchenko
    Ukrains’ kyi Matematychnyi Zhurnal 66 (9), 1205–1212-1205–1212 , 2014
    2014
    Citations: 24
  • Foliations with all non-closed leaves on non-compact surfaces
    S Maksymenko, E Polulyakh
    arXiv preprint arXiv:1606.00045 , 2016
    2016
    Citations: 22
  • Orbits of smooth functions on 2-torus and their homotopy types
    S Maksymenko, B Feshchenko
    arXiv preprint arXiv:1409.0502 , 2014
    2014
    Citations: 22
  • Local inverses of shift maps along orbits of flows
    S Maksymenko
    2011
    Citations: 22
  • Smooth functions on 2-torus whose kronrod-reeb graph contains a cycle
    S Maksymenko, B Feshchenko
    arXiv preprint arXiv:1411.6863 , 2014
    2014
    Citations: 21
  • Functions with isolated singularities on surfaces
    S Maksymenko
    arXiv preprint arXiv:0806.4704 , 2008
    2008
    Citations: 21
  • Entropy determination based on the ordinal structure of a dynamical system
    K Keller, S Maksymenko, I Stolz
    arXiv preprint arXiv:1502.01309 , 2015
    2015
    Citations: 20
  • Foliations with non-compact leaves on surfaces
    S Maksymenko, E Polulyakh
    arXiv preprint arXiv:1512.07809 , 2015
    2015
    Citations: 19
  • Connected components of partition preserving diffeomorphisms
    S Maksymenko
    arXiv preprint arXiv:0806.0159 , 2008
    2008
    Citations: 17
  • Automorphisms of Kronrod–Reeb graphs of Morse functions on compact surfaces
    A Kravchenko, S Maksymenko
    European Journal of Mathematics 6 (1), 114-131 , 2020
    2020
    Citations: 16
  • Functions on surfaces and incompressible subsurfaces
    S Maksymenko
    arXiv preprint arXiv:1001.1346 , 2010
    2010
    Citations: 16
  • Diffeomorphisms preserving Morse–Bott functions
    O Khohliyk, S Maksymenko
    Indagationes Mathematicae 31 (2), 185-203 , 2020
    2020
    Citations: 15
  • One-dimensional foliations on topological manifolds
    S Maksymenko, E Polulyakh
    arXiv preprint arXiv:1610.00615 , 2016
    2016
    Citations: 12
  • Hamiltonian vector fields of homogeneous polynomials in two variables
    S Maksymenko
    arXiv preprint arXiv:0709.2511 , 2007
    2007
    Citations: 12