Shunsuke Tada

I am Shunsuke Tada (多田駿介 in Japanese) studying mathematics for (mainly) Topological Data Analysis. I am currently interested in persistence modules over finite posets from a view of homological algebra, and computations of their structures. GitHub
E-mail: shunsuke.tada.e6[ at ]tohoku.ac.jp

my driver licence

Affiliation:
I am a posdoc at Mathematical Science Center for Co-Creative Society (MathCCS), Tohoku University (April 2025 ~).

Preprint:
[1] Toshitaka Aoki, Emerson G. Escolar, and Shunsuke Tada. "Summand-injectivity of interval covers and monotonicity of interval resolution global dimensions." arXiv preprint arXiv:2308.14979 (2023). arXiv:2308.14979.
[2] Shunsuke Tada. "Stability of Bipath Persistence Diagrams." arXiv preprint arXiv:2503.01614 (2025). arXiv:2503.01614.

Research Paper:
[1] Shunsuke Tada. "Prime ideals in categories of representations of quivers of type A" (accepted date: 06/30/2022), Kyushu Journal of Mathematics.2023 Vol. 77, No. 1 p. 159-177 arXiv:2205.08713.
[2] Toshitaka Aoki, Emerson G. Escolar, and Shunsuke Tada. "Bipath persistence" Japan Journal of Industrial and Applied Mathematics (17 December 2024). link for the article.

Computation:
[1] Code for visualizing Gabriel quiver of END(G), where G is all the direct sum of the non-iso interval modules. This code is the implementation of Proposition 6.8. of the paper "EXACT STRUCTURES FOR PERSISTECE MODULES" by B. Blanchette, T. BrüStle, and E.J.Hanson. See arXiv:2308.01790 for more details.

[2] A code for calculating compressed multiplicity defined in the paper "Approximation by interval-decomposables and interval resolutions of persistence modules" by H. Asashiba, E. G. Escolar, K. Nakashima, M. Yoshiwaki. See arXiv:2207.03663 Definition 5.1. The code is available, and implemented in a software pmgap.

[3] A computation of bipath persistent homology. See Bipathposets. It is an implementation of Algorithm 3 in our paper Bipath persistence.

Poster presentations and Talks:
[1]"Prime ideals in categories of representations of quivers of type A" at AATRN virtual poster session 9/20/2022.

  • poster(English).

    • [2]"パーシステント加群と区間表現(Persistence modules and interval representations)" at 第6回数理新人セミナー(Freshman Seminar 2023) 2/20/2023 - 2/23/2023.
  • slide(Japnese).

    • [3]"Interval resolution global dimension and interval cover". Poster presentation at TDA week 2023, 7/31/2023.

  • poster(English).

    • [4]"On interval global dimension of posets: a characterization of case 0". Talk at 環論表現論シンポジウム(The 55th Symposium on Ring Theory and Representation Theory) 9/5/2023.

  • abstract(English).
  • slide(Japanese and English).

    • [5]"On interval global dimension of posets: a characterization of case 0". Talk at 日本数学会, 2023年度秋季総合分科会(The Mathematical Society of Japan, Autumn Meeting 2023 at Tohoku University) 9/22/2023.

  • abstract(English).
  • slide(Japanese and English)

    • [6]"パーシステントホモロジー解析における 区間表現のホモロジー代数的性質". Talk at 2023年度応用数学合同研究集会 12/16/2023.
  • abstract(English).

    • [7]*"Posets whose persistence modules are always interval decomposable and homological invariants". Talk at 2024 Joint Mathematics Meetings (JMM 2024), AIM-AMS Special Session on Applied Topology Beyond Persistence Diagrams 01/05/2024.
  • slide(English).
  • note of abst(English).

    • [8]*"パーシステントホモロジーにおける区間表現のホモロジー代数的性質" Talk at パーシステントホモロジーと表現論2024 02/22/2024.
  • slide.

    • [9]*"Bipath persistence and interval approximation for persistence modules over finite posets" Talk at Seminar, Applied CAT 04/16/2024.
  • abstract.
    • [10]*"Ａ Computation of Bipath Persistent Homology and Bipath Persistence Diagrams" Talk at Asia Pacific Seminar on Applied Topology and Geometry 09/20/2024.
  • slide.
    • [11]"Ａ Computation of Bipath Persistent Homology and Bipath Persistence Diagrams" Talk at MathBio Workshop: Shape and Movement in Life Sciences. 03/26/2025.
  • slide.

    • Teaching:
    I was a TA at Kobe Uinversity.

  • 2022.4.11 -- 2022.9.30 神戸大学 計算機科学入門 (Introduction to Computer Science).
  • 2022.10.1 -- 2023.2.28 神戸大学 数理モデルプログラミング(Mathematical Model Programming).
  • 2022.10.1 -- 2023.2.28 神戸大学 大学教育推進機構 数学教育部会 数学学修支援室 ティーチングアシスタント
  • 2023.4.3 -- 2023.8.31 神戸大学 大学教育推進機構 数学教育部会 数学学修支援室 ティーチングアシスタント

    • Reserch Assistant:
    RA at Kobe Uinversity.

  • 2022.9.20 -- 2023.3.31 学生研究支援員.
  • 2023.4.1 -- 2024.3.31 学生研究支援員.
  • 2024.10.2 -- 2025.2.20 学生研究支援員

    • Fellowship:
    Support for Pioneering Reserch Initiated by the Next Generation, SPRING , 2023/04~2025/03.

    Proceedings and reports:　
    　[1] パーシステント加群と区間表現(Persistence modules and interval representations)，第6回数理新人セミナー報告集．

    [2] 第55回 環論および表現論シンポジウム報告集 , 2024年2月,p.4--11.

    Education:
    April 1 2016 -- March 26 2020: Undergraduate course at Tokyo Institute of Technology Department of Mathematics.
    Supervisor: Dr. Shane Kelly .

    April 1 2020 -- March 26 2022: Master’s course at Tokyo Institute of Technology Department of Mathematics. (Master theses : "Prime ideals in categories of representations of quivers of type A")
    Supervisor: Dr. Shane Kelly .

    April 1 2022 -- March 25 2025: Doctor’s course at Kobe University Graduate School of Human Development and Environment. (Ph.D. theses : "Proposal of Bipath Persistent Homology: Interval-Decomposability, Algorithm, and Stability")
    Supervisor: Dr. Emerson G. Escolar .

    Scientific visit:
    March 1 -- April 30 2024: Royal Institute of Technology, Sweden.