Torus actions of complexity 1 and their local properties AA Ayzenberg Proceedings of the Steklov Institute of Mathematics 302, 16-32, 2018 | 27 | 2018 |

Volume polynomials and duality algebras of multi-fans A Ayzenberg, M Masuda Arnold Mathematical Journal 2 (3), 329-381, 2016 | 21 | 2016 |

Manifolds of isospectral matrices and Hessenberg varieties A Ayzenberg, V Buchstaber International Mathematics Research Notices 2021 (21), 16671-16692, 2021 | 18 | 2021 |

Cohomology of toric origami manifolds with acyclic proper faces A Ayzenberg, M Masuda, S Park, H Zeng arXiv preprint arXiv:1407.0764, 2014 | 17 | 2014 |

Substitutions of polytopes and of simplicial complexes, and multigraded Betti numbers A Ayzenberg Transactions of the Moscow Mathematical Society 74, 175-202, 2013 | 16 | 2013 |

Nerve complexes and moment-angle spaces of convex polytopes AA Ayzenberg, VM Buchstaber Proceedings of the Steklov Institute of Mathematics 275, 15-46, 2011 | 16 | 2011 |

Orbit spaces of equivariantly formal torus actions of complexity one A Ayzenberg, M Masuda Transformation Groups, 1-34, 2023 | 15 | 2023 |

Topology and geometry of data manifold in deep learning G Magai, A Ayzenberg arXiv preprint arXiv:2204.08624, 2022 | 14 | 2022 |

Torus action on quaternionic projective plane and related spaces A Ayzenberg Arnold Mathematical Journal 7, 243-266, 2021 | 12 | 2021 |

The problem of Buchstaber number and its combinatorial aspects A Ayzenberg arXiv preprint arXiv:1003.0637, 2010 | 12 | 2010 |

Torus actions of complexity one in non-general position A Ayzenberg, V Cherepanov Osaka Journal of Mathematics 58 (4), 839-853, 2021 | 11 | 2021 |

Locally standard torus actions and h′-numbers of simplicial posets A Ayzenberg Journal of the Mathematical Society of Japan 68 (4), 1725-1745, 2016 | 11 | 2016 |

Composition of simplicial complexes, polytopes and multigraded Betti numbers A Anton arXiv preprint arXiv:1301.4459, 2013 | 10 | 2013 |

Space of isospectral periodic tridiagonal matrices A Ayzenberg Algebraic & Geometric Topology 20 (6), 2957-2994, 2020 | 9 | 2020 |

Buchstaber invariant, minimal non-simplices and related A Ayzenberg | 9 | 2016 |

How is a graph not like a manifold? A Ayzenberg, M Masuda, G Solomadin arXiv preprint arXiv:2203.10641, 2022 | 8 | 2022 |

Buchstaber numbers and classical invariants of simplicial complexes A Ayzenberg arXiv preprint arXiv:1402.3663, 2014 | 8 | 2014 |

Homology cycles in manifolds with locally standard torus actions A Ayzenberg arXiv preprint arXiv:1502.01130, 2015 | 7 | 2015 |

Matroids in toric topology A Ayzenberg, V Cherepanov arXiv preprint arXiv:2203.06282, 2022 | 6 | 2022 |

Locally standard torus actions and sheaves over Buchsbaum posets AA Ayzenberg Sbornik: Mathematics 208 (9), 1261, 2017 | 6 | 2017 |