Emerson G. Escolar

Here is a complete list of publications and talks given.

ORCID page

Yet another database: my research map page .

Please report broken links!

Preprints

  1. Emerson G. Escolar, Woojin Kim. "Barcoding Invariants and Their Equivalent Discriminating Power". arXiv preprint https://www.arxiv.org/abs/2412.04995
  2. Mickaël Buchet, Emerson G. Escolar. "The Whole in the Parts: Putting nD Persistence Modules Inside Indecomposable (n+1)D Ones". arXiv preprint https://arxiv.org/abs/2012.02467

Research Papers

  1. Toshitaka Aoki, Emerson G. Escolar, Shunsuke Tada. "Summand-injectivity of interval covers and monotonicity of interval resolution global dimensions". Journal of Applied and Computational Topology 9,13 (2025). https://doi.org/10.1007/s41468-025-00210-2
    (arXiv version https://arxiv.org/abs/2308.14979)
  2. Emerson G. Escolar, Yuta Shimada, Masahiro Yuasa "A topological analysis of the space of recipes". International Journal of Gastronomy and Food Science (2024) https://doi.org/10.1016/j.ijgfs.2024.101088
    (arXiv version https://arxiv.org/abs/2406.09445)
  3. Toshitaka Aoki, Emerson G. Escolar, Shunsuke Tada. "Bipath Persistence". Japan Journal of Industrial and Applied Mathematics (2024). https://doi.org/10.1007/s13160-024-00681-3
    (arXiv version https://arxiv.org/abs/2404.02536)
  4. Hideto Asashiba, Emerson G. Escolar, Ken Nakashima, and Michio Yoshiwaki. "On Approximation of 2D Persistence Modules by Interval-decomposables" Journal of Computational Algebra, Volumes 6–7, September 2023, 100007
    (arXiv version https://arxiv.org/abs/1911.01637)
  5. Emerson G. Escolar, Yasuaki Hiraoka, Mitsuru Igami, and Yasin Ozcan. "Mapping Firms' Locations in Technological Space: A Topological Analysis of Patent Statistics" Research Policy Volume 52, Issue 8, October 2023, 104821
    (arXiv version https://arxiv.org/abs/1909.00257)
  6. Hideto Asashiba, Emerson G. Escolar, Ken Nakashima, and Michio Yoshiwaki. "Approximation by interval-decomposables and interval resolutions of persistence modules", Journal of Pure and Applied Algebra, Volume 227, Issue 10, October 2023, 107397
    (arXiv version https://arxiv.org/abs/2207.03663)
  7. Yusuke Imoto, Tomonori Nakamura, Emerson G Escolar, Michio Yoshiwaki, Yoji Kojima, Yukihiro Yabuta, Yoshitaka Katou, Takuya Yamamoto, Yasuaki Hiraoka, Mitinori Saitou. "Resolution of the curse of dimensionality in single-cell RNA sequencing data analysis" Life Science Alliance Aug 2022, 5 (12) e202201591; DOI: 10.26508/lsa.202201591
    (bioRxiv preprint https://doi.org/10.1101/2022.05.02.490246)
  8. Mickaël Buchet, Emerson G. Escolar. "Realizations of indecomposable persistence modules of arbitrarily large dimensions", Journal of Computational Geometry, Vol 13 No 1 (2022)
    Conference proceedings version:
    Mickaël Buchet, Emerson G. Escolar. "Realizations of Indecomposable Persistence Modules of Arbitrarily Large Dimension", 34th International Symposium on Computational Geometry (SoCG 2018), Leibniz International Proceedings in Informatics (LIPIcs), 15:1-15:13.
    (arXiv version here)
  9. Hideto Asashiba, Mickaël Buchet, Emerson G. Escolar, Ken Nakashima, and Michio Yoshiwaki. "On Interval Decomposability of 2D Persistence Modules". Computational Geometry, SI: Algorithmic Aspects of Computational and Applied Topology, Volumes 105–106, August–October 2022, 101879 https://doi.org/10.1016/j.comgeo.2022.101879
    (Also available here. arXiv version here.)
  10. Emerson G. Escolar, Killian Meehan, and Michio Yoshiwaki. "Interleavings and Matchings as Representations". Applicable Algebra in Engineering, Communication and Computing (2021). https://doi.org/10.1007/s00200-021-00530-7
    (Also available here. arXiv version here.)
  11. Mickaël Buchet, Emerson G. Escolar "Every 1D persistence module is a restriction of some indecomposable 2D persistence module". J Appl. and Comput. Topology. Volume 4, pages 387-424 (2020). https://doi.org/10.1007/s41468-020-00053-z
    arXiv version
  12. Hideto Asashiba, Emerson G. Escolar, Yasuaki Hiraoka, Hiroshi Takeuchi. "Matrix Method for Persistence Modules on Commutative Ladders of Finite Type". Japan J. Indust. Appl. Math. Volume 36, Issue 1, pp 97–130 (2019). https://doi.org/10.1007/s13160-018-0331-y
    (Also available here. arXiv version here.)
  13. Emerson G. Escolar, Yasuaki Hiraoka. "Persistence modules on commutative ladders of finite type". Discrete Comput. Geom. 55 (2016), 100-157.
  14. Yasuaki Hiraoka, Takenobu Nakamura, Akihiko Hirata, Emerson G. Escolar, Kaname Matsue, Yasumasa Nishiura. "Hierarchical structures of amorphous solids characterized by persistent homology". Proceedings of the National Academy of Sciences vol. 113 no. 26, 7035-7040.
  15. Emerson G. Escolar, Yasuaki Hiraoka. "Persistence of Common Topological Structures by Commutative Triple Ladder Quiver". In: Nishiura Y., Kotani M. (eds) Mathematical Challenges in a New Phase of Materials Science. Springer Proceedings in Mathematics & Statistics, vol 166. (2016) Springer, Tokyo
  16. Emerson G. Escolar, Yasuaki Hiraoka. "Optimal Cycles for Persistent Homology Via Linear Programming". In: Optimization in the Real World, pp 79-96. Springer Japan, 2016.
  17. Takenobu Nakamura, Yasuaki Hiraoka, Akihiko Hirata, Emerson G. Escolar, Yasumasa Nishiura. "Persistent Homology and Many-Body Atomic Structure for Medium-Range Order in the Glass". Nanotechnology 26 (2015) 304001.
  18. Emerson G. Escolar, Yasuaki Hiraoka. "Computing Optimal Cycles of Homology Groups". In: A Mathematical Approach to Research Problems of Science and Technology - Theoretical Basis and Developments in Mathematical Modeling, pp 101-118, Springer, 2014.
  19. Emerson G. Escolar, Yasuaki Hiraoka. "Computing Persistence Modules on Commutative Ladders of Finite Type". Lecture Notes in Computer Science, 8592:144-151, 2014.
  20. Emerson G. Escolar, Yasuaki Hiraoka. "Morse Reduction for Zigzag Complexes". Journal of the Indonesian Mathematical Society, 20:47-75, 2014.

Articles

  1. パーシステントホモロジーと表現論 (Persistent homology and representation theory) 数理科学 2023年6月号 Ｎｏ.720 トポロジカルデータ解析の拡がり データの「かたち」を捉える

Presentations

    Please see my researchmap page for a list of presentations.

Workshops/Seminars Organized

  1. Topological Data Analysis and Representation Theory 2025 (位相的データ解析と表現論2025)) Kobe University, Graduate School of Human Development and Environment & Online, Feb 12-13, 2025
  2. パーシステントホモロジーと表現論2024 (Persistent Homology and Representation Theory 2024) Online, Feb 22, 2024
  3. TDA Week 2023, Clock Tower Centennial Hall, Kyoto University, 31 July - 4 Aug 2023
  4. パーシステントホモロジーと表現論 (Persistent Homology and Representation Theory) Online, Feb 15-16, 2023
  5. AATRN Poster Session, Joint with APATG, Online (Gather.Town), September 20th, 2022
  6. TDA Week 2022 Online, Feb 14-18, 2022
  7. Asia Pacific Seminar on Applied Topology and Geometry, Online, twice a month starting August 2020.
  8. 第4回JST数学領域未解決問題ワークショップ (4th JST Math Open Problems Workshop), Online, September 19-21, 2020
  9. Workshop on Applied Topology 2019, Maskawa Building for Education and Research, Kyoto University, Japan, January 7-11, 2019
  10. 6th Annual Minisymposium on Computational Topology. Part of Computational Geometry Week (CG Week 2017) Brisbane, July 4-7, 2017