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Mochizuki Shinichi  望月 新一

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MOCHIZUKI Shinichi  望月 新一

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Researcher Number 10243106
Other IDs
External Links
Affiliation (Current) 2025: 京都大学, 数理解析研究所, 教授
Affiliation (based on the past Project Information) *help 2015 – 2019: 京都大学, 数理解析研究所, 教授
2013: 京都大学, 数理解析研究所, 教授
2010: 京都大学, 数理解析研究所, 教授
2001 – 2008: 京都大学, 数理解析研究所, 教授
2006: 京都大学, 数理解析研究所, 助教授 … More
2003 – 2004: 京都大学, 数理解析研究所, 助教授
1996 – 2001: 京都大学, 数理解析研究所, 助教授
1995: 京都大学, 数理解析研究所, 助手 Less
Review Section/Research Field
Principal Investigator
Algebra / Algebra
Except Principal Investigator
Algebra / Algebra / 解析学
Keywords
Principal Investigator
楕円曲線 / p進 / Diophantus幾何 / ホッジ理論 / 双曲的曲線 / 宇宙 / 圏論 / 双曲型代数曲線 / 遠アーベル幾何 / ディオファントス幾何 … More / クリスタリン / Hodge理論 / テータ関数 / アラケロフ理論 / 整数論 / グロタンディーク予想 / Belyi射 / Teichmuller理論 / IU幾何 / Grothendieck予想 / Section予想 / カスプ化 / 配置空間 / Teichmuller写像 / P進 / Diophatus幾何 / 遠アーベル幾何学 / 比較同型 / Kodaira-Spencer射 / p進一意化 / モジュライ / 双曲的多重曲線 / コンパクト化 / セクション予想 / 調和解析 / ディオファンタス幾何 / 曲線の対応 / 曲線のモジュライ / p進タイヒミューラー理論 / ガロアの作用 / マルツェフ完備化 / 局所体 … More
Except Principal Investigator
モジュライ空間 / 写像類群 / 基本群 / 数論的基本群 / Galois group / ガロア群 / 遠アーベル幾何 / 国際研究者交流 / 圏論的数論幾何 / 数論幾何学 / 代数曲線 / Moduli space / 数論幾何的トポロジー / モチーフ / Fundamental group / multiple-scale / K3曲面 / モノドロミー表現 / 整数論 / 重複ファイバー / 無限可積分系 / 剛幾何学 / 位相的場の理論 / モジュラー函手 / 共形場理論 / アルゴリズム / 国際研究者交流(オーストラリア) / 国際研究者交流(アメリカ、オーストラリア) / 国際情報交換(アメリカ) / 国際情報交換(オーストラリア) / 国際研究者交流(アメリカ) / モジュライ / トポロジー / 数論幾何 / Riemannゼータ / 宇宙際幾何 / Siegel零点 / L関数 / ゼータ関数 / Hodge-Arakelov理論 / 宇宙際Teichmuller理論 / arithmetic topology / Categorical arithmetic geometry / Motive / Mapping class group / 数論的基本論 / ガロア論 / 米国:フランス / Painleve equations / Arithmetic geometry / Rigid geometry / Topological field theory / Modular functor / Conformal field theory / Integrable systems with infinite degrees of freedom / p進微分方程式 / Artin-Mazur形式群 / リー代数 / 3次元多様体の不変量 / 幾何学的クリスタル / p進解析空間 / カラビ・ヤウ多様体 / 位相場の理論 / モジュライ函手 / ミラー対称性 / Rigid幾何学 / 遠アーベル幾何学 / ワイル群 / タイヒミュラー空間 / KZ方程式 / 曲線の退化 / ヤコビ多様体 / 無限次元代数 / 政論幾何学 / パンルヴェ方程式 / arithmetic geometric topoglogy / categorical arithmetic geometry / motive / mapping class group / moduli space / arithmetic fundamental group / アルティン群 / ヘッケ環 / 数理的基本群 / Arithmetic of cyclotomic fields / The stable derivation algebra / Hyperadelic gamma function / Adelic beta function / Grothendieck-Teichmuller group / The projective line minus 3 points / pro-p基本群 / Soule元 / 円分体のアーベル拡大 / 射影直線マイナス3点の / 絶対ガロア群 / 円分体の整数論 / 安定微分環 / ガンマ関数 / ベータ関数 / Grothendieck-Teichmuller群 / 射影直線マイナス3点 / deformation (of differential equations) / Stokes curves / Schrodinger equations / Painleve transcendents / monodromy groups / Borel resummation / Exact WKB analysis / 複素フーリエ解析 / Multiple-scale / Painleve函数 / 特異摂動 / 代数解析学 / 微分方程式の変形 / 保型函数 / ボレル和 / 変り点 / ストークス曲線 / パンルヴェ函数 / (微分方程式の)変形 / 変わり点 / 接続公式 / (微分方程式の) 変形 / Stokes曲線 / Schrodinger方程式 / multiple scale / Painleve超越函数 / モノドロミー群 / Borel総和法 / 完全WKB解析 / Calabi-Yan多様体 / D-brane / 普遍被覆空間 / ミラー対称 / Calabi-Yau多様体 / フリップ / 極小モデル / Eisenstein級数 / 組みひも群 / ガロア・タイヒミュラー理論 / デデキント和 / 代数学 / ペンローズ変換 / p進剛幾何学 / Hitchin接続 / 射影的平坦接続 / ユニタリ性 / 退化 / ゲージ理論 / 接続 / 導来圏 / 変形パラメータ / トロピカル幾何学 / 代数多様体の退化 / モジュライ空 / 分岐被覆 / ゲージ対称性 / GNS構成法 / タイヒミュラー / 代数科学 / 米国:フランス:ドイツ / 国際研究者交流(米国、フランス、ドイツ他) / ガロア表現 Less
  • Research Projects

    (17 results)
  • Research Products

    (42 results)
  • Co-Researchers

    (72 People)
  •  Further developments of inter-universal Teichmuller theory

    • Principal Investigator
      Yamashita Go
    • Project Period (FY)
      2015 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  New developments in number theoretic geometry, topology, and algorithm

    • Principal Investigator
      Matsumoto Makoto
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      Hiroshima University
      The University of Tokyo
  •  Arithmetic and Moduli Spaces around Galois-Teichmueller tower

    • Principal Investigator
      NAKAMURA Hiroaki
    • Project Period (FY)
      2009 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
      Okayama University
  •  New developments in number theory and geometry : arithmetic topology, categorical arithmetic geometry, algorithm

    • Principal Investigator
      MATSUMOTO Makoto
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      Hiroshima University
  •  Geometry of Moduli Spaces and its Application to Infinite Analysis

    • Principal Investigator
      UENO Kenji
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
      Yokkaichi University
      Kyoto University
  •  Beyond the framework of classical arithmetic geometry-Zeta, arithmetic topology, and categorical arithmetic geometry

    • Principal Investigator
      MATSUMOTO Makoto
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      Hiroshima University
  •  楕円曲線のホッジ・アラケロフ理論Principal Investigator

    • Principal Investigator
      望月 新一
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Geometry of integrable systems with infinite degrees of freedom and new development of moduli theory.

    • Principal Investigator
      UENO Kenji
    • Project Period (FY)
      2002 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  楕円曲線のホッジ・アラケロフ理論Principal Investigator

    • Principal Investigator
      望月 新一
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Geometry of Moduli Spaces and Galois Actions

    • Principal Investigator
      MATSUMOTO Makoto
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      HIROSHIMA UNIVERSITY
      Kyoto University
  •  双曲的曲線の内在的ホッジ理論Principal Investigator

    • Principal Investigator
      望月 新一
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  双曲的曲線の内在的ホッジ理論Principal Investigator

    • Principal Investigator
      望月 新一
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Galois groups and fundamental groups

    • Principal Investigator
      IHARA Yasutaka
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      KYOTO UNIVERSITY
  •  曲線のモジュライ・スタックの数論的一意化理論Principal Investigator

    • Principal Investigator
      望月 新一
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  高次元代数多様体と共形場理論

    • Principal Investigator
      森 重文
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for international Scientific Research
    • Research Institution
      Kyoto University
  •  Theory of singular perturbations

    • Principal Investigator
      KAWAI Takahiro
    • Project Period (FY)
      1996 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      KYOTO UNIVERSITY
  •  代数曲線のモジュライ空間とガロア表現

    • Principal Investigator
      IHARA Yasutaka
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University

All 2016 2015 2012 2011 2010 2009 2008 2007 2006 2005 2004

All Journal Article Presentation

  • [Journal Article] Bogomolov’s proof of the geometric version of the Szpiro Conjecture from the point of view of inter-universal Teichm¨uller theory2016

    • Author(s)
      Shinichi Mochizuki
    • Journal Title

      Res. Math. Sci.

      Volume: 3 Issue: 1

    • DOI

      10.1186/s40687-016-0057-x

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04781
  • [Journal Article] Bogomolov’s Proof of the Geometric Version of the Szpiro Conjecture from the Point of View of Inter-universal Teichm¨uller Theory2016

    • Author(s)
      Shinichi Mochizuki
    • Journal Title

      Res. Math. Sci.

      Volume: 3

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04781
  • [Journal Article] Topics in Absolute Anabelian Geometry III: Global Reconstruction Algorithms2015

    • Author(s)
      Shinichi Mochizuki
    • Journal Title

      J. Math. Sci. Univ. Tokyo

      Volume: 22 Pages: 939-1156

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04781
  • [Journal Article] Monomorphisms in Categories of Log Schemes2015

    • Author(s)
      Shinichi Mochizuki
    • Journal Title

      Kodai Math. J.

      Volume: 38 Pages: 365-429

    • NAID

      130005475916

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04781
  • [Journal Article] Topics in absolute anabelian geometry I: generalities.2012

    • Author(s)
      Mochizuki Shinichi
    • Journal Title

      J. Math. Sci. Univ. Tokyo

      Volume: 19 Pages: 139-242

    • NAID

      120005323050

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23244002
  • [Journal Article] On the Combinatorial Anabelian Geometry of Nodally Nondegenerate Outer Representations2011

    • Author(s)
      Y.Hoshi, S.Mochizuki
    • Journal Title

      Hiroshima Math.J.

      Volume: 41 Pages: 275-342

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23244002
  • [Journal Article] Arithmetic Elliptic Curves in General Position2010

    • Author(s)
      Shinichi Mochizuki
    • Journal Title

      Math.J.Okayama Univ.

      Volume: 52 Pages: 1-28

    • NAID

      120002309340

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204002
  • [Journal Article] On the Combinatorial Cuspidalization of Hyperbolic Curves2010

    • Author(s)
      Shinichi Mochizuki
    • Journal Title

      Osaka J.Math.

      Volume: 47 Pages: 651-715

    • NAID

      120005986604

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204002
  • [Journal Article] The etale theta function and its Frobenioid-theoretic manifestations.2009

    • Author(s)
      Mochizuki, Shinichi
    • Journal Title

      Publ. Res. Inst. Math. Sci. 45,no.1

      Pages: 227-349

    • NAID

      110007029893

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204002
  • [Journal Article] The etale theta function and its Frobenioid-theoretic manifestations2009

    • Author(s)
      Mochizuki, Shinichi
    • Journal Title

      Publ.Res.Inst.Math.Sci. 45, no.1

      Pages: 227-349

    • NAID

      110007029893

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204002
  • [Journal Article] The etale theta function and its Frobenioid-theoretic manifestations2009

    • Author(s)
      Mochizuki, Shinichi
    • Journal Title

      Publ.Res.Inst.Math.Sci. 45-no.1

      Pages: 227-349

    • NAID

      110007029893

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204002
  • [Journal Article] The geometry of Frobenioids. I. The general theory.2008

    • Author(s)
      Mochizuki, Shinichi
    • Journal Title

      Kyushu J. Math. 62-2

      Pages: 293-400

    • NAID

      130000063241

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340007
  • [Journal Article] The geometry of Frobenioids. II. Poly-Frobenioids.2008

    • Author(s)
      Mochizuki, Shinichi
    • Journal Title

      Kyushu J. Math. 62-2

      Pages: 401-460

    • NAID

      130000063242

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340007
  • [Journal Article] The algebraic and anabelian geometry of configuration spaces.2008

    • Author(s)
      Mochizuki, Shinichi, Tamagawa, Akio
    • Journal Title

      Hokkaido Math. J. 37-1

      Pages: 75-131

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340007
  • [Journal Article] The algebraic and anabelian geometry of configuration spaces2008

    • Author(s)
      Mochizuki, Shinichi
    • Journal Title

      Hokkaido Math. J. 37 no. 1

      Pages: 75-131

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204002
  • [Journal Article] A combinatorial version of the Grothendieck conjecture.2007

    • Author(s)
      Mochizuki, Shinichi
    • Journal Title

      Tohoku Math. J. (2) 59・3

      Pages: 455-479

    • NAID

      110006389130

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204002
  • [Journal Article] Semi-graphs of anabelioids.2006

    • Author(s)
      S.Mochizuki
    • Journal Title

      Publ. Res. Inst. Math. Sci 42, no. 1

      Pages: 221-322

    • NAID

      110004020852

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16204002
  • [Journal Article] Semi-graphs of anabelioids.2006

    • Author(s)
      Mochizuki, Shinichi
    • Journal Title

      Publ. Res. Inst. Math. Sci. 42・no.1

      Pages: 221-322

    • NAID

      110004020852

    • Data Source
      KAKENHI-PROJECT-16204002
  • [Journal Article] Semi-graphs of Anabelioids2006

    • Author(s)
      S.Mochizuki
    • Journal Title

      Publ. Res. Inst. Math. Sc 42

      Pages: 221-322

    • NAID

      110004020852

    • Data Source
      KAKENHI-PROJECT-14102001
  • [Journal Article] Semi-graphs of anabelioids.2006

    • Author(s)
      S.Mochizuki
    • Journal Title

      Publ. Res. Inst. Math. Sci. 42, no.1

      Pages: 221-322

    • NAID

      110004020852

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16204002
  • [Journal Article] Galois Sections in Absolute Anabelian Geometry2005

    • Author(s)
      S.Mochizuki
    • Journal Title

      Nagoya Math. J. 179

      Pages: 17-45

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14102001
  • [Journal Article] Galois Sections in Absolute Anabelian Geometry.2005

    • Author(s)
      S.Mochizuki
    • Journal Title

      Nagoya Math.J. 179

      Pages: 17-45

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14102001
  • [Journal Article] Galois sections in absolute anabelian geometry2005

    • Author(s)
      Mochizuki, Shinichi
    • Journal Title

      Nagoya Math.J. 179巻

      Pages: 17-45

    • Data Source
      KAKENHI-PROJECT-16204002
  • [Journal Article] Galois sections in absolute anabelian geometry.2005

    • Author(s)
      S.Mochizuki
    • Journal Title

      Nagoya Math. J. 179

      Pages: 17-45

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16204002
  • [Journal Article] Galois sections in absolute anabelian geometry2005

    • Author(s)
      Mochizuki, Shinichi
    • Journal Title

      Nagoya Math.J. 179

      Pages: 17-45

    • Data Source
      KAKENHI-PROJECT-15740011
  • [Journal Article] Noncritical Belyi maps2004

    • Author(s)
      Shinichi Mochizuki
    • Journal Title

      Math.J.Okayama Univ. 46

      Pages: 105-113

    • NAID

      120002309940

    • Data Source
      KAKENHI-PROJECT-15740011
  • [Journal Article] The geometry of anabelioids.2004

    • Author(s)
      S.Mochizuki
    • Journal Title

      Publ. Res. Inst. Math. Sci. 40, no.3

      Pages: 819-881

    • NAID

      110001050927

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16204002
  • [Journal Article] The Geometry of Anabelioids2004

    • Author(s)
      Shinichi Mochizuki
    • Journal Title

      Publ.Res.Inst.Math.Sci. 40

      Pages: 819-881

    • NAID

      110001050927

    • Data Source
      KAKENHI-PROJECT-14102001
  • [Journal Article] Noncritical Belyi maps.2004

    • Author(s)
      S.Mochizuki
    • Journal Title

      Math. J. Okayama Univ. 46

      Pages: 105-113

    • NAID

      120002309940

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16204002
  • [Journal Article] Categorical representation of locally Noetherian log schemes.2004

    • Author(s)
      S.Mochizuki
    • Journal Title

      Adv. Math. 188, no.1

      Pages: 222-246

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16204002
  • [Journal Article] Categories of log schemes with Archimedean structures.2004

    • Author(s)
      S.Mochizuki
    • Journal Title

      Math. Kyoto Univ. 44, no.4

      Pages: 891-909

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16204002
  • [Journal Article] The geometry of anabelioids.2004

    • Author(s)
      Mochizuki, Shinichi
    • Journal Title

      Publ.Res.Inst.Math.Sci. 40

      Pages: 819-881

    • NAID

      110001050927

    • Data Source
      KAKENHI-PROJECT-16204002
  • [Journal Article] The geometry of anabelioids2004

    • Author(s)
      Shinichi Mochizuki
    • Journal Title

      Publ.RIMS, Kyoto Univ. 40

      Pages: 819-881

    • NAID

      110001050927

    • Data Source
      KAKENHI-PROJECT-15740011
  • [Journal Article] Categories of log schemes with Archimedean structures.2004

    • Author(s)
      Mochizuki
    • Journal Title

      Math. Kyoto Univ. 44, no.4

      Pages: 891-909

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16204002
  • [Journal Article] The absolute anabelian geometry of hyperbolic curves2004

    • Author(s)
      Shinichi Mochizuki
    • Journal Title

      Galois theory and modular forms (Proceedings) Dev.Math.11

      Pages: 77-122

    • Data Source
      KAKENHI-PROJECT-15740011
  • [Journal Article] Categorical representation of locally noetherian log schemes2004

    • Author(s)
      Shinichi Mochizuki
    • Journal Title

      Adv.Math. 188

      Pages: 222-246

    • Data Source
      KAKENHI-PROJECT-15740011
  • [Journal Article] Categorical representation of locally Noetherian logschemes.2004

    • Author(s)
      S.Mochizuki
    • Journal Title

      Adv. Math. 188, no.1

      Pages: 222-246

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16204002
  • [Journal Article] The absolute anabelian geometry of hyperbolic curves.2004

    • Author(s)
      S.Mochizuki
    • Journal Title

      Galois theory and modular forms

      Pages: 77-122

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16204002
  • [Journal Article] Categorical representation of locally Noetherian log schemes2004

    • Author(s)
      Mochizuki, Shinichi
    • Journal Title

      Adv.Math. 188

      Pages: 222-246

    • Data Source
      KAKENHI-PROJECT-16204002
  • [Presentation] The mathematics of mutually alien copies: from Gaussian integrals to inter-universal Teichm¨uller theory2016

    • Author(s)
      Shinichi Mochizuki
    • Organizer
      Inter-universal Teichmuller Theory Summit 2016
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2016-07-19
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04781
  • [Presentation] 宇宙際タイヒミュラー理論へのいざない2012

    • Author(s)
      望月進一
    • Organizer
      整数論とその周辺
    • Place of Presentation
      数理解析研究所
    • Invited
    • Data Source
      KAKENHI-PROJECT-23244002
  • [Presentation] Inter-universal Teichmuller Theory : A Progress Report2010

    • Author(s)
      Shinichi Mochizuki
    • Organizer
      Development of Galois-Teichmuller Theory and anabelian geometry
    • Place of Presentation
      京都大学数理解析研究所(招待講演)
    • Data Source
      KAKENHI-PROJECT-19204002
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