Updated on 2025/03/11

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
基本群の表現や配置空間と関連する代数や幾何について研究しています.最近は,グラフに付随する積分で表される周期や位相不変量に関連する研究を行っています.また,医療関係のデータを用いた数理科学的な応用研究にも取り組んでいるところです.
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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

    Taisei Asai, Hisatoshi Kodani, Kaname Matsue, Hiroyuki Ochiai,Takiko Sasaki

    Nonlinearity   2025

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

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

    Hisatoshi Kodani, Kaname Matsue, Hiroyuki Ochiai, Akitoshi Takayasu

    Nonlinearity   2025

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

  • 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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Professional Memberships

  • The Mathematical Society of Japan

Class subject

  • 常微分方程式とラプラス変換

    2024.10 - 2025.3   Second 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

  • 応用数学Ⅲ

    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