Updated on 2025/04/03

Information

 

写真a

 
KODANI HISATOSHI
 
Organization
Institute of Mathematics for Industry Division of Fundamental mathematics Assistant Professor
Education and Research Center for Mathematical and Data Science （Concurrent）
School of Sciences Department of Mathematics（Concurrent）
Graduate School of Mathematics Department of Mathematics（Concurrent）
School of Engineering Department of Electrical Engineering and Computer Science（Concurrent）
Title
Assistant Professor
Contact information
メールアドレス
Tel
0928024431
Profile
I am interested in several topics related to representations of fundamental groups and configuration spaces. Recently, I have been working around topological invariants of manifolds and number theoretic functions represented by some integrations associated with graphs.
Homepage
External link

Degree

  • Ph.D. (Mathematics)

Research Interests・Research Keywords

  • Research theme： topology, number theory

    Keyword： fundamental group, configuration space

    Research period： 2022.10

Papers

  • Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs: I. Method and justification Reviewed International journal

    Asai, T; Kodani, H; Matsue, K; Ochiai, H; Sasaki, T

    NONLINEARITY   38 ( 4 )   2025.4   （ ISSN:0951-7715 eISSN:1361-6544 ）

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1088/1361-6544/adb52d

    Web of Science

  • Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs: II. Dynamical correspondence Reviewed International journal

    Kodani, H; Matsue, K; Ochiai, H; Takayasu, A

    NONLINEARITY   38 ( 4 )   2025.4   （ ISSN:0951-7715 eISSN:1361-6544 ）

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    Language：English   Publishing type：Research paper (scientific journal)   Publisher：Nonlinearity  

    In this paper, we provide a natural correspondence of eigenstructures of Jacobian matrices associated with equilibria for appropriately transformed two systems describing finite-time blow-ups for ODEs with quasi-homogeneity in an asymptotic sense. As a corollary, we see that asymptotic expansions of blow-ups proposed in Part I themselves provide a criterion of the existence of blow-ups with an intrinsic gap structure of stability information among two systems. Examples provided in Part I are revisited to show the above correspondence.

    DOI： 10.1088/1361-6544/adb52e

    Web of Science

    Scopus

  • Arithmetic Orr Invariants of Absolute Galois Groups Reviewed International journal

    Hisatoshi Kodani, Yuji Terashima

    International Mathematics Research Notices   2023 ( 13 )   11316 - 11403   2023.6   （ ISSN:10737928 ）

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    Language：English   Publishing type：Research paper (scientific journal)   Publisher：International Mathematics Research Notices  

    Based on the analogies between mapping class groups and absolute Galois groups, we introduce an arithmetic pro-ℓ analogue of Orr invariants for a Galois element associated with Galois action on étale fundamental groups of punctured projective lines. At the same time, we also introduce pro-ℓ Orr space as an arithmetic analogue of Orr space whose third homotopy group is a target group of Orr invariant. We then determine its rank as ℤℓ-module following Igusa-Orr's computation. Moreover, we investigate its relation with Ellenberg's obstruction to π1-sections associated with lower central series filtration in the context of Grothendieck's section conjecture.

    DOI： 10.1093/imrn/rnac138

    Scopus

  • Milnor invariants via unipotent Magnus embeddings Reviewed International journal

    Hisatoshi Kodani, Takefumi Nosaka,

    Topology and its Applications   271   2020.2

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    Language：Japanese   Publishing type：Research paper (scientific journal)  

  • Arithmetic topology in Ihara theory Reviewed International journal

    Hisatoshi Kodani, Masanori Morishita, Yuji Terashima

    Publ. Res. Inst. Math. Sci.   53 ( 4 )   629 - 688   2017.12

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    Language：Japanese   Publishing type：Research paper (scientific journal)  

    Repository Public URL： https://hdl.handle.net/2324/7232606

  • Redei's triple symbols and modular forms Reviewed International journal

    Fumiya Amano, Hisatoshi Kodani, Masanori Morishita, Takayuki Sakamoto, Takafumi Yoshida,

    Tokyo J. Math.   36 ( 2 )   2013.12

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    Language：Japanese   Publishing type：Research paper (scientific journal)  

  • Nilpotent class field theory for manifolds Reviewed International journal

    Junhyeung Kim, Hisatoshi Kodani, Masanori Morishita,

    Proceedings of Japan Academy   89 ( 1 )   15 - 19   2013.1

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    Language：Japanese   Publishing type：Research paper (scientific journal)  

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Presentations

  • Quantum master equation and Hodge correlators International conference

    Séminare de Topologie  2025.3 

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    Event date： 2025.3

    Language：English   Presentation type：Oral presentation (general)  

    Venue：Institut de Mathématiques de Jussieu-Paris Rive Gauche   Country：France  

  • Integral invariants for framed 3-manifolds associated to trivalent graphs possibly with self-loops International coauthorship International conference

    2025.3 

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    Event date： 2025.3

    Language：English   Presentation type：Oral presentation (general)  

    Venue：Universität zu Köln   Country：Germany  

  • 量子マスター方程式とHodge相関子 Invited

    Poisson幾何とその周辺 24  2024.11 

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    Event date： 2024.11 - 2024.12

    Venue：東京理科大学   Country：Japan  

Professional Memberships

  • The Mathematical Society of Japan

Academic Activities

  • 学術論文等の審査

    Role(s)： Peer review

    2024

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  • 学術論文等の審査

    Role(s)： Peer review

    2023

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Educational Activities

  • 以下の学部生向けの数学講義や数理データサイエンスに関する集中講義等を担当した．

    代数学1演習（数学科）
    微分方程式とラプラス変換（工学部）
    数理データサイエンスPBL（大学院）

Class subject

  • 常微分方程式とラプラス変換

    2024.10 - 2025.3   Second semester

  • 応用数学Ⅲ

    2024.4 - 2024.9   First semester

  • 代数学I 演習

    2024.4 - 2024.9   First semester

  • 数理・データサイエンス活用PBL

    2024.4 - 2024.9   First semester

  • 常微分方程式とラプラス変換

    2023.10 - 2024.3   Second semester

  • 応用数学Ⅲ

    2023.4 - 2023.9   First semester

  • 数理・データサイエンス活用PBL

    2023.4 - 2023.9   First semester

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Social Activities

  • 九大キャンパスウォークにおける、理学部での講義・実験・演習・施設見学等の担当

    朝倉市立秋月中学校  2023.2

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    Audience：Infants,　Schoolchildren,　Junior students,　High school students

Travel Abroad

  • 2025.3

    Staying countory name 1：France   Staying institution name 1：Institut de Mathématiques de Jussieu-Paris Rive Gauche

  • 2025.3

    Staying countory name 1：Germany   Staying institution name 1：Universität zu Köln