Hierarchical structures of amorphous solids characterized by persistent homology Y Hiraoka, T Nakamura, A Hirata, EG Escolar, K Matsue, Y Nishiura Proceedings of the National Academy of Sciences 113 (26), 7035-7040, 2016 | 383 | 2016 |

Persistent homology and many-body atomic structure for medium-range order in the glass T Nakamura, Y Hiraoka, A Hirata, EG Escolar, Y Nishiura Nanotechnology 26 (30), 304001, 2015 | 135 | 2015 |

Persistence modules on commutative ladders of finite type EG Escolar, Y Hiraoka Discrete & Computational Geometry 55, 100-157, 2016 | 77 | 2016 |

On interval decomposability of 2D persistence modules H Asashiba, M Buchet, EG Escolar, K Nakashima, M Yoshiwaki Computational Geometry 105, 101879, 2022 | 34* | 2022 |

On Approximation of D Persistence Modules by Interval-decomposables H Asashiba, EG Escolar, K Nakashima, M Yoshiwaki arXiv preprint arXiv:1911.01637, 2019 | 33* | 2019 |

Realizations of indecomposable persistence modules of arbitrarily large dimensions M Buchet, E Escolar Journal of Computational Geometry 13 (1), 298–326-298–326, 2022 | 31* | 2022 |

Optimal cycles for persistent homology via linear programming EG Escolar, Y Hiraoka Optimization in the Real World: Toward Solving Real-World Optimization …, 2016 | 31 | 2016 |

Approximation by interval-decomposables and interval resolutions of persistence modules H Asashiba, EG Escolar, K Nakashima, M Yoshiwaki Journal of Pure and Applied Algebra 227 (10), 107397, 2023 | 17 | 2023 |

Every 1D persistence module is a restriction of some indecomposable 2D persistence module M Buchet, EG Escolar Journal of Applied and Computational Topology 4 (3), 387-424, 2020 | 16 | 2020 |

Matrix method for persistence modules on commutative ladders of finite type H Asashiba, EG Escolar, Y Hiraoka, H Takeuchi Japan Journal of Industrial and Applied Mathematics 36, 97-130, 2019 | 14 | 2019 |

Resolution of the curse of dimensionality in single-cell RNA sequencing data analysis Y Imoto, T Nakamura, EG Escolar, M Yoshiwaki, Y Kojima, Y Yabuta, ... Life Science Alliance 5 (12), 2022 | 13 | 2022 |

Description of medium-range order in amorphous structures by persistent homology T Nakamura, Y Hiraoka, A Hirata, EG Escolar, K Matsue, Y Nishiura arXiv preprint arXiv:1501.03611, 2015 | 13 | 2015 |

Mapping firms’ locations in technological space: A topological analysis of patent statistics EG Escolar, Y Hiraoka, M Igami, Y Ozcan Research Policy 52 (8), 104821, 2023 | 12 | 2023 |

Computing persistence modules on commutative ladders of finite type EG Escolar, Y Hiraoka International Congress on Mathematical Software, 144-151, 2014 | 6 | 2014 |

Morse reduction for zigzag complexes E Escolar, Y Hiraoka Journal of the Indonesian Mathematical Society, 47-75, 2014 | 6 | 2014 |

Computing optimal cycles of homology groups EG Escolar, Y Hiraoka A Mathematical Approach to Research Problems of Science and Technology …, 2014 | 5 | 2014 |

Interleavings and matchings as representations EG Escolar, K Meehan, M Yoshiwaki Applicable Algebra in Engineering, Communication and Computing 34 (6), 965-993, 2023 | 1 | 2023 |

Summand-injectivity of interval covers and monotonicity of interval resolution global dimensions T Aoki, EG Escolar, S Tada arXiv preprint arXiv:2308.14979, 2023 | 1 | 2023 |

The Whole in the Parts: Putting D Persistence Modules Inside Indecomposable D Ones M Buchet, EG Escolar arXiv preprint arXiv:2012.02467, 2020 | 1 | 2020 |

Persistence of Common Topological Structures by Commutative Triple Ladder Quiver EG Escolar, Y Hiraoka Mathematical Challenges in a New Phase of Materials Science: Kyoto, Japan …, 2016 | 1 | 2016 |