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KUGA KENICHI  久我 健一

ORCIDConnect your ORCID iD *help
… Alternative Names

MATSUMOTO Shigenori  松元 重則

KUGA Kenichi  久我 健一

KUGA Ken'ichi  久我 健一

久我 健一

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Researcher Number 30186374
Other IDs
External Links
Affiliation (based on the past Project Information) *help 2022 – 2023: 千葉大学, 大学院理学研究院, 名誉教授
2017 – 2021: 千葉大学, 大学院理学研究院, 教授
2017: 日本大学, 理工学部, 名誉教授
2016: 千葉大学, 大学院理学研究科, 教授
2015: 千葉大学, 理学(系)研究科(研究院), 教授 … More
2013: 千葉大学, 大学院・理学研究科, 教授
2012 – 2013: 千葉大学, 理学(系)研究科(研究院), 教授
2011: 千葉大学, 大学院・理学研究科, 教授
2010: 千葉大学, 大学院・理学院研究科, 教授
2007 – 2009: Chiba University, 大学院・理学研究科, 教授
2003 – 2006: Chiba University, Faculty of Science, Professor, 理学部, 教授
1994 – 2002: 千葉大学, 理学部, 助教授
1993: 千葉大学, 教養部, 助教授
1990 – 1991: 千葉大学, 教養部, 助教授
1987: 東京大学, 理学部, 助手 Less
Review Section/Research Field
Principal Investigator
Geometry / Geometry / Medium-sized Section 11:Algebra, geometry, and related fields
Except Principal Investigator
Geometry / Geometry / 代数学・幾何学 / Global analysis / 解析学 / Global analysis
Keywords
Principal Investigator
低次元多様体 / 4次元多様体 / SSReflect / ssreflect / coq / 証明支援系 / 数学の形式化 / 形式化 / TensorFlow / Coq … More / 有限射影平面 / 証明支援システム / 強化学習 / 自動証明 / 機械学習 / トポロジー / transformers / 深層学習 / COQ / ビング収縮定理 / shrinking method / geometric topology / formalization / 深層強化学習 / Coq/SSReflect / ビング収縮法 / 幾何的トポロジー / topological field theory / Chern-Simons invariant / L^2-torsion / volume conjecture / colored Jones invariant / Kashaev invariant / hyperbolic structure / 3-manifolds / 双曲多様体 / L^2-トージョン / Chern-Simons理論 / 位相的場の理論 / Chern-Simons不変量 / L^2トージョン / 体積予想 / colored Jones不変量 / Kashaev不変量 / 双曲構造 / 3次元多様体 / ペレルマン不変量 / 位相不変量 / 低次元トポロジー / 微分トポロジー / Ricci流 / リッチ流 / コバノフホモロジー / 双曲体積 / 低次元位相不変量 / 4次元球面 / 可微分構造 / Ricci flow / Ricciフロー / 微分位相幾何学 / 低次元微分位相幾何学 / 同変フォーム / ツイスター / 普遍主束 / 相対性 / 正則化 / 量子場 / 幾何学 / Hopf 代数 / 量子群 / 量子二重構成 / Lie algebras / weight system / uni-trivalent graph / EPRの問題 / 構成的場の理論 / モノイダル圏 / 量子場理論 … More
Except Principal Investigator
エントロピー / エンゲル構造 / 積分不可能平面場 / Engel structure / stability / 安定性 / 葉層構造 / Reeb流 / 接触構造 / 微分トポロジー / 不変集合 / contact Hamiltonian 関数 / レーブ流 / geometric entropy / contact manifolds of higher order / projective structure / characteristic curve / rigidity / nonintegrable plane fields / 剛的部分多様体 / 特性葉 / 局所剛的 / アノソフ流 / backet generating / 幾何学的エントロピー / 高位接触多様体 / 射影構造 / 特性曲線 / 剛性 / Rigid curve / Tangential projective structure / Transverse contact structure / Characteristic foliation / 剛的曲線 / 接射影構造 / 横断的接触構造 / 特性葉層 / Operator space / Haagerup tensor product / irrational ratotion algebra / K-group / stable rank / real rank / c^*-algebra / operator algebra / 作用素空間 / C^*-環 / 作用素環 / 作業素空間 / ハーゲラップ積 / 無理数回転環 / K-群 / 安定次元 / 実次元 / C-環 / 作業素環 / amenable group / Ruelle invariant / invariant fiber measure / flow / 極小集合 / アメナブル群 / ルエル不変量 / 不変ファイバー測度 / 流れ / almost periodic function / skew produt flow / functional differential Egs / process / 極限方程式 / 概周期関数 / 斜積流 / 関数微分方程式 / プロセス / entropy / expansivity / pseudoleaf tracing property / pseudoleaf / pseudo-orbit / foliation / generalized dynamical systems / 位相安定性 / 拡大性 / 擬葉追跡性 / 擬葉 / 擬軌道 / 広義力学系 / Global Holonomy Group / Geometric Structure / Foliation / 例外葉 / 弾性葉 / 接アフィン関数 / レヴィ葉層 / 接アフィン葉層 / 大域ホロノミ-群 / 幾何構造 / ホモロジー3球面 / 4次元多様体 / モジュライ空間 / インスタントン / 初期条件に関する鋭敏依存性 / 積分曲線 / Selbergの跡公式 / Milnor-Reidemeister普遍量 / Ruelle L関数とその特殊値 / Alexander不変量 / 多様体のゼータ関数 / レギュレター / 代数的K群 / 幾何学 / Regulator / Selberg跡公式 / 代数的K-群 / 岩澤予想 / L-関数 / 双曲幾何学 / Lichtenbaum予想 / 岩澤理論 / 特殊値 / Ruelle L-関数 / 3次元双曲多様体 / 2-超局所特異台 / 完全正規増大性 / 特性多様体 / フーリエ・ラプラス変換 Less
  • Research Projects

    (22 results)
  • Research Products

    (25 results)
  • Co-Researchers

    (33 People)
  •  Applying deep learning to formalization of TopologyPrincipal Investigator

    • Principal Investigator
      Kuga Kenichi
    • Project Period (FY)
      2020 – 2023
    • Research Category
      Grant-in-Aid for Challenging Research (Pioneering)
    • Review Section
      Medium-sized Section 11:Algebra, geometry, and related fields
    • Research Institution
      Chiba University
  •  Formalization of geometric topology towards 4-dimensional Poincare conjecturePrincipal Investigator

    • Principal Investigator
      KUGA KENICHI
    • Project Period (FY)
      2015 – 2017
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Chiba University
  •  Flexibility of Reeb flows in contact manifolds

    • Principal Investigator
      Inaba Takashi
    • Project Period (FY)
      2015 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Chiba University
  •  Flows and foliations subordinate to nonintegrable plane fields

    • Principal Investigator
      INABA Takashi
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Chiba University
  •  Low-dimensional topological invariants, hyperbolic volume and Perelman invariantsPrincipal Investigator

    • Principal Investigator
      KUGA Ken-ichi
    • Project Period (FY)
      2009 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Chiba University
  •  TOPOLOGICAL AND DYNAMICAL STUDY OF NON-INTEGRABLE DISTRIBUTIONS

    • Principal Investigator
      INABA Takashi
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Chiba University
  •  Iwasawa conjecture for a hyperbolic threefold and its application to number theory

    • Principal Investigator
      SUGIYAMA Kennichi
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Chiba University
  •  Applications of the Ricci flow tedimentional differential toppologPrincipal Investigator

    • Principal Investigator
      KUGA Kenichi
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Chiba University
  •  Topology of nonintegrable plane fields

    • Principal Investigator
      INABA Takashi
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Chiba University
  •  Topological study of Engel structures and its characteristic foliations

    • Principal Investigator
      INABA Takashi
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Chiba University
  •  Studies on topological field theory and hyperbolic structuresPrincipal Investigator

    • Principal Investigator
      KUGA Ken'ichi
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Chiba University
  •  The geometric structure of operator algebras

    • Principal Investigator
      MASARU Nagisa
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Chiba University
  •  A study of minimal sets in differentiable flows and foliations

    • Principal Investigator
      INABA Takashi
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      CHIBA UNIVERSITY
  •  量子相対性と有限幾何Principal Investigator

    • Principal Investigator
      久我 健一
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Chiba University
  •  A topological study of generalized dynamical systems

    • Principal Investigator
      INABA Takashi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      CHIBA UNIVERSITY
  •  CIASSIFICATIONS OF FONC TIONAL DIFFERENTIAL EQUATIONS BY PROCESSES

    • Principal Investigator
      HINO Yoshiyuki
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      CHIBA UNIVERSITY
  •  行列モデルとモノイダル圏Principal Investigator

    • Principal Investigator
      久我 健一
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Chiba University
  •  4次元における無限ハンドル構造の位相的変形Principal Investigator

    • Principal Investigator
      久我 健一
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Chiba University
  •  4次元ハンドル構造の位相的変形とノルム多項式Principal Investigator

    • Principal Investigator
      久我 健一
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Chiba University
  •  群の作用と可換なシステムの研究

    • Principal Investigator
      OKADA Yasunori
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Chiba University
  •  Foliations and Geometric Structures

    • Principal Investigator
      INABA Takashi
    • Project Period (FY)
      1990 – 1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Chiba Universtiy
  •  Yang-Mills場と4次元多様体

    • Principal Investigator
      松本 幸夫
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo

All 2022 2019 2017 2016 2015 2012 2011 2009 2006 2004

All Journal Article Presentation

  • [Journal Article] Actions of groups of diffeomorphisms on one-manifolds by C^1 diffeomorphisms2017

    • Author(s)
      Shigenori Matsumoto
    • Journal Title

      Adv. Stud. Pure Math.

      Volume: 72 Pages: 441-451

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04837
  • [Journal Article] Formalization of Bing's shrinking method in geometric topology2016

    • Author(s)
      Ken'ichi Kuga, Manabu Hagiwara, Mitsuharu Yamamoto
    • Journal Title

      Lecture Notes in Artificial Intelligence

      Volume: 9791 Pages: 18-21

    • DOI

      10.1007/978-3-319-42547-4_2

    • ISBN
      9783319425467, 9783319425474
    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K13433, KAKENHI-PROJECT-16K12391
  • [Journal Article] Normally contracting Lie group actions2012

    • Author(s)
      T.Inaba, S.Matsumoto, Y.Mitsumatsu
    • Journal Title

      Topology Appl.

      Volume: 159 Pages: 1334-1338

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540069
  • [Journal Article] Normally contracting Lie group actions2012

    • Author(s)
      Inaba, Takashi; Matsumoto, Shigenori; Mitsumatsu, Yoshihiko
    • Journal Title

      Topology Appl

      Volume: 159, no. 5 Issue: 5 Pages: 1334-1338

    • DOI

      10.1016/j.topol.2011.12.012

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540069, KAKENHI-PROJECT-23540071
  • [Journal Article] Continua as minimal sets of homeomorphisms of S^22011

    • Author(s)
      Shigenori Matsumoto and Hiromichi Nakayama
    • Journal Title

      L'Enseignement Mathématique (2)

      Volume: 57 Issue: 3 Pages: 373-392

    • DOI

      10.4171/lem/57-3-5

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540071
  • [Journal Article] Colorings of torus knots, their twist-spuns by Alexander quandles over finite fields2009

    • Author(s)
      Sochiro. Asami and Ken'ichi Kuga
    • Journal Title

      Journal of Knot Theory, Its Ramifications

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540063
  • [Journal Article] Colorings of torus knots and their twist-spuns by Alexander quandles over finite fields2009

    • Author(s)
      Asami,S; Kuga, K
    • Journal Title

      J. Knot Theory Ramifications

      Volume: 18巻no. 9 Issue: 09 Pages: 1259-1270

    • DOI

      10.1142/s0218216509007452

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540069
  • [Journal Article] Colorings of torus knots and their twist-spuns by Alexander quandles over finite fields,2009

    • Author(s)
      S. Asami and K. Kuga,
    • Journal Title

      Jounral of Knot Theory and Its Ramifications

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540063
  • [Journal Article] Colorings of torus knots and their twist-spuns by Alexander quandles over finite fields2009

    • Author(s)
      S.Asami, K.Kuga
    • Journal Title

      Journal of Knot Theory and Its Ramifications Vol.18 No.9

      Pages: 1529-1270

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540069
  • [Journal Article] Colorings of torus knots and their twistspuns by Alexander quandles over finite fields2009

    • Author(s)
      Soichiro Asami, Ken'ichi Kuga
    • Journal Title

      J.Knot Theory Ramifications 18

      Pages: 1259-1270

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540066
  • [Journal Article] On some formulas in combinatorial computation of uni-trivalent graphs2006

    • Author(s)
      Kazutaka Hanawa, Ken'ichi Kuga
    • Journal Title

      Indian Journal of Pure and Applied Mathematics 37 No.2

      Pages: 75-88

    • Data Source
      KAKENHI-PROJECT-17540063
  • [Journal Article] On some formulas in combinatorial computation of uni-trivalent graphs2006

    • Author(s)
      Kazutaka Hanawa, Ken'ichi Kuga
    • Journal Title

      Indian Journal of Pure and Applied Mathematics, 37-2

      Pages: 75-88

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540053
  • [Journal Article] On some formulas in combinatorial computation of uni-trivalent graphs2006

    • Author(s)
      Kazutaka Hanawa, Ken' ichi Kuga
    • Journal Title

      Indian Journal of Pure and Applied Mathematics 37・2

      Pages: 75-88

    • Data Source
      KAKENHI-PROJECT-16540053
  • [Journal Article] On some formulas in combinatorial computation of uni-trivalent graphs2006

    • Author(s)
      Kazutaka Hanawa, Ken' ichiKuga
    • Journal Title

      Indian Journal of Pure and Applied Mathematics 37・2

      Pages: 75-88

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540053
  • [Journal Article] On some formulas in combinatorial computation of uni-trivalent graphs2006

    • Author(s)
      Kazutaka Hanawa and Ken'ichi Kuga
    • Journal Title

      Indian Journal fo Pure, Applied Mathematics 37No.2

      Pages: 75-88

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540063
  • [Journal Article] Twisted quantum doubles2004

    • Author(s)
      Fukuda, K.Kuga
    • Journal Title

      International Journal of Mathematics and Mathematical Sciences 28

      Pages: 1477-1486

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13640062
  • [Journal Article] Twisted quantum doubles2004

    • Author(s)
      D.Fukuda, K.Kuga
    • Journal Title

      Internat.Jour. of Mathematics and Mathematical Sciences 28

      Pages: 1477-1486

    • Data Source
      KAKENHI-PROJECT-13640062
  • [Journal Article] Twisted quantum doubles2004

    • Author(s)
      D.Fukuda, K.Kuga
    • Journal Title

      Internat.Jour.of Mathematics and Mathematical Sciences 28

      Pages: 1477-1486

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13640062
  • [Presentation] Training Transformers to formalize Topology in Coq2022

    • Author(s)
      久我健一
    • Organizer
      トポロジーとコンピュータ2022
    • Data Source
      KAKENHI-PROJECT-20K20340
  • [Presentation] Let Transformers speak Coq2022

    • Author(s)
      Kenichi Kuga
    • Organizer
      RE:BIT
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K20340
  • [Presentation] 有限幾何の形式化と深層学習2019

    • Author(s)
      久我健一、井上健太
    • Organizer
      第3回情報理論および符号理論とその応用ワークショップ(ICA2019)
    • Data Source
      KAKENHI-PROJECT-20K20340
  • [Presentation] Some experiments of formalizing finite/projective geometry using Monte Carlo tree search2019

    • Author(s)
      Ken'ichi Kuga
    • Organizer
      American Mathematical Society, Central and Western Joint Sectional Meeting
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K20340
  • [Presentation] Formalization of Bing's shrinking method in geometric topology2016

    • Author(s)
      Ken'ichi Kuga
    • Organizer
      Conference on Intelligent Computer Mathematics (CICM2016)
    • Place of Presentation
      Bialystok, Poland
    • Year and Date
      2016-07-25
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K13433
  • [Presentation] Wild Topology and Formalization2015

    • Author(s)
      久我 健一
    • Organizer
      Workshop on Formalization on Applied Mathematical Systems
    • Place of Presentation
      University of Hawaii at Manoa
    • Year and Date
      2015-09-25
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K13433
  • [Presentation] 証明支援系を用いたトポロジーの形式化について2015

    • Author(s)
      久我 健一
    • Organizer
      トポロジーシンポジウム
    • Place of Presentation
      名古屋工業大学 ( 愛知県名古屋市 )
    • Year and Date
      2015-08-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K13433
  • 1.  INABA Takashi (40125901)
    # of Collaborated Projects: 15 results
    # of Collaborated Products: 2 results
  • 2.  SUGIYAMA Kennichi (90206441)
    # of Collaborated Projects: 12 results
    # of Collaborated Products: 2 results
  • 3.  TAKAGI Ryouichi (00015562)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 4.  HINO Toshiyuki (70004405)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 5.  TSUBOI Takashi (40114566)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 6.  ISHIMURA Ryuichi (10127970)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 7.  NAKAYAMA Hiromichi (30227970)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 1 results
  • 8.  NAGISA Masaru (50189172)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 9.  OKADA Yasunori (60224028)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 10.  NOZAWA Sohei (20092083)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  ANDO Tetsuya (20184319)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  SATOH Shin (90345009)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  YASUDA Masami (00041244)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  KOSHIKAWA Hiroaki (60000866)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  ITOH Takashi (40193495)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  KODAKA Kazunori (30221964)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  MATUI Hiroki (40345012)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  今野 良彦 (00205577)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  西田 康二 (60228187)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  桜井 貴文 (60183373)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  種村 秀紀 (40217162)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  福田 途宏 (70009364)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  北詰 正顕 (60204898)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  松本 幸夫 (20011637)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  古田 幹雄 (50181459)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  上 正明 (80134443)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  落合 卓四郎 (90028241)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  服部 晶夫 (80011469)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  筒井 亨 (00197732)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  吉田 英信 (60009280)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  宮本 育子 (00009606)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  HAGIWARA Manabu
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 1 results
  • 33.  YAMAMOTO Mitsuharu
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 1 results

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