NAKAGAWA Masaki 中川征樹

… Alternative Names

中川征樹ナカガワマサキ

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Researcher Number	50370036
Other IDs
Affiliation (Current)	2025: 岡山大学, 教育学域, 教授
Affiliation (based on the past Project Information) *help	2023 – 2024: 岡山大学, 教育学域, 教授 2014 – 2020: 岡山大学, 教育学研究科, 准教授 2013 – 2015: 岡山大学, 教育学研究科(研究院), 准教授 2012: 岡山大学, 教育学研究科, 准教授 2011: 香川高等専門学校, 一般教育科, 准教授 … More 2010 – 2011: 香川高等専門学校, 講師 2010: 香川高等専門学校, 一般教育科, 講師 2009: 香川高等専門学校, (高松キャンパス)・一般教育科, 講師 2006 – 2008: 高松工業高等専門学校, 一般教育科, 講師 Less
Review Section/Research Field	Principal Investigator Geometry / Basic Section 11020:Geometry-related Except Principal Investigator Geometry / Algebra / Basic Section 09080:Science education-related / Science education
Keywords	Principal Investigator 旗多様体 / シューベルト・カルキュラス / 幾何学 / トポロジー / 組合せ論 / Schubert calculus / コホモロジー / 対称関数 / Schur S-, P, Q-関数 / Schur S-, P-, Q-関数 … More / 幾何 / 複素コボルディズム / Gysin写像 / Hall-Littlewood関数 / 一般コホモロジー / シューア関数 / リー群 / ホップ代数 / アフィン・グラスマン多様体 / ループ空間 / Chow環 / 等質空間 / 複素鏡映群 / p－コンパクト群 / トーラス同変コホモロジー / ユニタリー鏡映群 / Schubert Calculus / Hall--Littlewood関数 / P-コンパクト群 / Schur S, P, Q-関数 / Schur関数 / コボルディズム / 一般コホモロジー理論 / Young図形 / 符号数 / アフィン・グラスマン様体 / 同変コホモロジー / Hopf代数 / アフィンGrassmann多様体 / Lie群 / Weyl群 / Shubert多様体 / 例外型Lie群 / Wey1群 / 代数的組合せ論 / Schubert算法 / Schubert 算法 / 分類空間 / Weyl 群 / 不変式環 … More Except Principal Investigator リー群 / トポロジー / 同変K理論 / グラスマン多様体 / 同変コホモロジー / シチズンサイエンス / 科学教育 / 職業科学者コミュニティ / アフィニティ空間 / 科学探究ゲーム / シューア関数 / 組合せ論 / hook公式 / 同変K-理論 / Hall-Littlewood函数 / Schur函数 / Casselman問題 / 退化跡 / シューア函数 / 一般コホモロジー / 対称函数 / シューベルト・カルキュラス / マルチメディア / 切断 / 学習教材 / アルキメデスの立体 / 切頂推移 / 正多面体 / インタラクティブ / 教材 / 体感 / 力覚 / バーチャルリアリティ / 空間図形 / 教材開発 / Schur関数 / コホモロジー / Schubert幾何 / 集合値shifted tableau / シューベルト幾何 / 超対称多項式 / ピエリ型公式 / 旗多様体 / 特殊多項式 / シューベルト類 Less

職業科学者コミュニティの価値と面白さを擬似体験できる科学探究ゲームの原理の開発
- Principal Investigator
  
  稲田佳彦
- Project Period (FY)
  2024 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 09080:Science education-related
- Research Institution
  Okayama University
Equivariant Schubert calculus for p-compact groupsPrincipal Investigator
- Principal Investigator
  
  中川征樹
- Project Period (FY)
  2023 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Okayama University
Research on topological models for combinatorial Hopf algebrasPrincipal Investigator
- Principal Investigator
  
  Nakagawa Masaki
- Project Period (FY)
  2018 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Okayama University
Development of learning materials with sensation by using virtual reality technology - in the case of three dimensional figures -
- Principal Investigator
  
  Irie Takashi
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Science education
- Research Institution
  Okayama University
Research on generalized cohomology of flag varieties and Schur functions and their variantsPrincipal Investigator
- Principal Investigator
  
  Nakagawa Masaki
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Okayama University
Combinatorics of Schubert calculus and its application
- Principal Investigator
  
  NARUSE Hiroshi
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Yamanashi
  Okayama University
Morava K-theory of the exceptional Lie group and flag manifold
- Principal Investigator
  
  NISHIMOTO Tetsu
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kobe University of Welfare
Research on the loop spaces on Lie groups by combinatorial methodsPrincipal Investigator
- Principal Investigator
  
  NAKAGAWA Masaki
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Okayama University
Schubert calculus on flag varieties and its applicationPrincipal Investigator
- Principal Investigator
  
  NAKAGAWA Masaki
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kagawa National College of Technology
Schubert geometry and special polynomials
- Principal Investigator
  
  IKEDA Takeshi
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Okayama University of Science
On the characteristic classes and The Chow ring of the exceptional Lie groups
- Principal Investigator
  
  NISHIMOTO Tetsu
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kinki Health Welfare University
Invariants of the Weyl groups of exceptional Lie groups and their applicationsPrincipal Investigator
- Principal Investigator
  
  NAKAGAWA Masaki
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Takamatsu National College of Technology

[Journal Article] Towards equivariant Schubert calculus for p-compact groups2024
- Author(s)
  Masaki Nakagawa
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 2276 Pages: 57-68
- Open Access
- Data Source
  KAKENHI-PROJECT-23K03092
[Journal Article] On the mod 2 cohomology of the classifying space of the exceptional Lie group $E_{6}$2019
- Author(s)
  Kameko Masaki、Nakagawa Masaki、Nishimoto Tetsu
- Journal Title
  
  Proceedings of the Japan Academy, Series A, Mathematical Sciences
  
  Volume: 95 Issue: 9 Pages: 91-96
- DOI
  10.3792/pjaa.95.91
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K05263, KAKENHI-PROJECT-18K03303
[Journal Article] Universal Gysin formulas for the universal Hall-Littlewood functions2018
- Author(s)
  Masaki Nakagawa and Hiroshi Naruse
- Journal Title
  
  Contemporary Mathematics
  
  Volume: 708
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-15K04876
[Journal Article] Universal Gysin formulas for the universal Hall-Littlewood functions2018
- Author(s)
  Masaki Nakagawa and Hiroshi Naruse
- Journal Title
  
  Contemporary Mathematics
  
  Volume: 708
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03303
[Journal Article] Generalized (co)homology of the loop spaces of classical groups and the universal factorial Schur P- and Q-functions2016
- Author(s)
  Masaki Nakagawa and Hiroshi Naruse
- Journal Title
  
  Advanced Studies in Pure Mathematics
  
  Volume: 71 Pages: 337-417
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04876
[Journal Article] The integral cohomology ring of E_8/T.2010
- Author(s)
  Masaki Nakagawa
- Journal Title
  
  Proc.Japan Acad.Ser.A Math.Sci. vol.86
  
  Pages: 64-68
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540099
[Journal Article] The integral cohomology ring of E_8/T2010
- Author(s)
  Masaki Nakagawa
- Journal Title
  
  Proceedings of the Japan Academy 86
  
  Pages: 64-68
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540104
[Journal Article] The integral cohomology ring of E_8/T2010
- Author(s)
  Masaki Nakagawa
- Journal Title
  
  Proceedings of the Japan Academy Ser. A Mathematical Sciences
  
  Volume: 第86巻第3号 Issue: 3 Pages: 64-68
- DOI
  10.3792/pjaa.86.64
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540104
[Journal Article] シューベルト・カルキュラス(特集図形から学ぶリー代数)2009
- Author(s)
  中川征樹
- Journal Title
  
  数学セミナー(日本評論社)
  
  Pages: 34-39
- NAID
  40016816380
- URL
  http://www.nippyo.co.jp/blog_susemi/archives/75.html
- Data Source
  KAKENHI-PROJECT-21540104
[Journal Article] シューベルト・カルキュラス(特集図形から学ぶリー代数)2009
- Author(s)
  中川征樹
- Journal Title
  
  数学セミナー(日本評論社) 10月号
  
  Pages: 34-39
- NAID
  40016816380
- Data Source
  KAKENHI-PROJECT-21540104
[Journal Article] The Chow rings of the algebraic groups E_6, E_7, and E_82008
- Author(s)
  M. Nakagawa
- Journal Title
  
  京都大学数理解析研究所講究録 1581
  
  Pages: 92-102
- Data Source
  KAKENHI-PROJECT-18540106
[Journal Article] The Chow rings of the algebraic groups E_6, E_7, and E_82008
- Author(s)
  Masaki Nakagawa
- Journal Title
  
  京都大学数理解析研究所講究録 1581
  
  Pages: 92-102
- Data Source
  KAKENHI-PROJECT-18540106
[Journal Article] A description based on Schubert classes of cohomology of flag manifolds2008
- Author(s)
  M. Nakagawa
- Journal Title
  
  Fundamenta Mathematicae 199
  
  Pages: 273-293
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540106
[Journal Article] A description based on Schubert classes of cohomology of flag manifolds2008
- Author(s)
  Masaki Nakagawa
- Journal Title
  
  Fundamenta Mathematicae 199
  
  Pages: 273-293
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540106
[Journal Article] A description based on Schubert classes of cohomology of flag manifolds
- Author(s)
  Masaki Nakagawa
- Journal Title
  
  Fundamenta Mathematicaeに (掲載予定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540106
[Presentation] Towards equivariant Schubert calculus for p-compact groups2023
- Author(s)
  中川征樹
- Organizer
  変換群の幾何とトポロジー
- Data Source
  KAKENHI-PROJECT-23K03092
[Presentation] Equivariant Schubert calculus for the p-compact group corresponding to G(r,1,n)2023
- Author(s)
  中川征樹
- Organizer
  ホモトピー論シンポジウム
- Data Source
  KAKENHI-PROJECT-23K03092
[Presentation] Gysin formulas for generalized Hall-Littlewood functions and related topics2019
- Author(s)
  Masaki Nakagawa
- Organizer
  New interactions between Geometry and Combinatorics (幾何学と組合せ論の新しい融合)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03303
[Presentation] Higher orientability of the Rosenfeld planes2019
- Author(s)
  中川征樹
- Organizer
  香川セミナー
- Data Source
  KAKENHI-PROJECT-18K03303
[Presentation] 複素コボルディズムにおけるDarondeau-Pragaczの公式2019
- Author(s)
  中川征樹, 成瀬弘
- Organizer
  2019年度日本数学会年会
- Data Source
  KAKENHI-PROJECT-18K03303
[Presentation] Symmetric function realization of the Lazard ring2017
- Author(s)
  中川征樹
- Organizer
  安定ホモトピー論とその周辺
- Place of Presentation
  岡山大学
- Data Source
  KAKENHI-PROJECT-15K04876
[Presentation] The universal Gysin formulas for the universal Hall-Littlewood functions2016
- Author(s)
  中川征樹
- Organizer
  空間の代数的・幾何的モデルとその周辺
- Place of Presentation
  信州大学
- Data Source
  KAKENHI-PROJECT-15K04876
[Presentation] 普遍Schur関数に対するGysinの公式2015
- Author(s)
  中川征樹
- Organizer
  日本数学会2015年度年会
- Place of Presentation
  明治大学
- Year and Date
  2015-03-21
- Data Source
  KAKENHI-PROJECT-24540105
[Presentation] 普遍Schur関数に対するGysinの諸公式について2015
- Author(s)
  中川征樹
- Organizer
  第62回トポロジーシンポジウム
- Place of Presentation
  名古屋工業大学
- Year and Date
  2015-08-08
- Invited
- Data Source
  KAKENHI-PROJECT-15K04876
[Presentation] Gysin formulas for the universal Hall-Littlewood functions2015
- Author(s)
  中川征樹
- Organizer
  第42回変換群論シンポジウム
- Place of Presentation
  金沢勤労者プラザ
- Year and Date
  2015-11-28
- Data Source
  KAKENHI-PROJECT-15K04876
[Presentation] K-homology of affine Grassmannians2014
- Author(s)
  Masaki Nakagawa
- Organizer
  第3回シューベルトカルキュラスとその周辺
- Place of Presentation
  岡山理科大学
- Year and Date
  2014-08-27
- Invited
- Data Source
  KAKENHI-PROJECT-24540105
[Presentation] 古典群上のループ空間の一般(コ)ホモロジーの基底を与えるSchur P, Q-関数の拡張について2013
- Author(s)
  中川征樹
- Organizer
  2013年度日本数学会年会
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-24540105
[Presentation] E-ホモロジーSchur P, Q-関数とLie群上のループ空間について2012
- Author(s)
  中川征樹
- Organizer
  2012年度ホモトピー論シンポジウム
- Place of Presentation
  山口大学
- Data Source
  KAKENHI-PROJECT-24540105
[Presentation] K-homology of the space of loops on a symplectic group2012
- Author(s)
  Masaki Nakagawa
- Organizer
  MSJ-SI 2012 Schubert Calculus
- Place of Presentation
  大阪市立大学
- Invited
- Data Source
  KAKENHI-PROJECT-24540105
[Presentation] ループ空間のホモロジーについて2012
- Author(s)
  中川征樹
- Organizer
  芝浦工業大学数理科学科第22回談話会
- Place of Presentation
  芝浦工業大学
- Year and Date
  2012-01-30
- Data Source
  KAKENHI-PROJECT-21540104
[Presentation] Schur P-関数とシンプレクティック群上のループ空間について2011
- Author(s)
  中川征樹
- Organizer
  2011年度日本数学会
- Place of Presentation
  早稲田大学
- Year and Date
  2011-03-21
- Data Source
  KAKENHI-PROJECT-21540104
[Presentation] Schur P-関数とシンプレクティック群上のループ空間について2011
- Author(s)
  中川征樹
- Organizer
  2011年度日本数学会年会
- Place of Presentation
  早稲田大学
- Year and Date
  2011-03-21
- Data Source
  KAKENHI-PROJECT-21540104
[Presentation] On the signature of Grassmannians via Schubert calculus2009
- Author(s)
  Masaki Nakagawa
- Organizer
  Bratislava Topology Symposium
- Place of Presentation
  Comenius大学スロバキア共和国ブラチスラバ
- Year and Date
  2009-09-10
- Data Source
  KAKENHI-PROJECT-21540104
[Presentation] On the signature of Gras smannians via Schubert calculus2009
- Author(s)
  Masaki Nakagawa
- Organizer
  Bratislava Topology Symposium
- Place of Presentation
  Comenius大学
- Year and Date
  2009-09-10
- Data Source
  KAKENHI-PROJECT-21540104
[Presentation] The integral cohomology rings of full flag manifolds2008
- Author(s)
  M. Nakagawa
- Organizer
  Workshop on Schubert calculus
- Place of Presentation
  関西セミナーハウス
- Year and Date
  2008-03-20
- Data Source
  KAKENHI-PROJECT-18540106
[Presentation] Schubert calculus in the cohomology rings of flag varieties2008
- Author(s)
  中川征樹
- Organizer
  第55回トポロジーシンポジウム
- Place of Presentation
  金沢市文化ホール
- Year and Date
  2008-08-08
- Data Source
  KAKENHI-PROJECT-18540106
[Presentation] Schubert calculus in thecohomology rings of flag varieties2008
- Author(s)
  M. Nakagawa
- Organizer
  第55回トポロジーシンポジウム
- Place of Presentation
  金沢市文化ホール
- Year and Date
  2008-08-08
- Data Source
  KAKENHI-PROJECT-18540106
[Presentation] The Chow rings of complex algebraic groups2008
- Author(s)
  Masaki Nakagawa
- Organizer
  Conference on Algebraic and Geometric Topology
- Place of Presentation
  Gdansk大学
- Year and Date
  2008-06-09
- Data Source
  KAKENHI-PROJECT-18540106
[Presentation] The Chow rings of complex algebraic groups2008
- Author(s)
  M. Nakagawa
- Organizer
  Conference on Algebraic and Geometric Topology
- Place of Presentation
  Gdansk 大学
- Year and Date
  2008-06-09
- Data Source
  KAKENHI-PROJECT-18540106
[Presentation] 代数群E_6, E_7, E_8 の Chow 環2007
- Author(s)
  M. Nakagawa
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  東北大学
- Year and Date
  2007-09-22
- Data Source
  KAKENHI-PROJECT-18540106
[Presentation] The Chow rings of the algebraic groups E_6, E_7, and E_82007
- Author(s)
  Masaki Nakagawa
- Organizer
  有限群のコホモロジーとその周辺
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2007-08-30
- Data Source
  KAKENHI-PROJECT-18540106
[Presentation] Multiplicative structure of the Chow rings of projective homogeneous varieties2007
- Author(s)
  M. Nakagawa
- Organizer
  ホモトピー論シンポジウム
- Place of Presentation
  金沢市観光会館
- Year and Date
  2007-11-14
- Data Source
  KAKENHI-PROJECT-18540106
[Presentation] 代数群E_6, E_7, E_8のChow環2007
- Author(s)
  Masaki Nakagawa
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  東北大学
- Year and Date
  2007-09-22
- Data Source
  KAKENHI-PROJECT-18540106
[Presentation] The Chow rings of the algebraic groups E_6 and E_7, and E_82007
- Author(s)
  M. Nakagawa
- Organizer
  有限群のコホモロジーとその周辺
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2007-08-30
- Data Source
  KAKENHI-PROJECT-18540106
[Presentation] A Gysin formula for the universal Schur functions
- Author(s)
  中川征樹、成瀬　弘
- Organizer
  日本数学会
- Place of Presentation
  明治大学
- Year and Date
  2015-03-21 – 2015-03-24
- Data Source
  KAKENHI-PROJECT-25400041
[Presentation] On the K-theory of ΩSp
- Author(s)
  中川征樹
- Organizer
  福岡ホモトピー論セミナー
- Place of Presentation
  福岡大学セミナーハウス
- Data Source
  KAKENHI-PROJECT-24540105
[Presentation] 1. 旗多様体のトーラス同変コホモロジーについて 2. Kostant-KumarのNil-Hecke代数について
- Author(s)
  中川征樹
- Organizer
  春の代数的位相幾何学セミナー
- Place of Presentation
  岡山大学
- Data Source
  KAKENHI-PROJECT-24540105
[Presentation] 旗多様体のトーラス同変コホモロジーとSchur関数
- Author(s)
  中川征樹
- Organizer
  北大幾何学コロキウム
- Place of Presentation
  北海道大学
- Data Source
  KAKENHI-PROJECT-24540105

1. NARUSE Hiroshi (20172596)

# of Collaborated Projects: 6 results

# of Collaborated Products: 5 results
2. IKEDA Takeshi (40309539)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
3. MIMURA Mamoru (70026772)

# of Collaborated Projects: 4 results

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4. NISHIMOTO Tetsu (80330520)

# of Collaborated Projects: 4 results

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5. OHMOTO Toru (20264400)

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6. KAJI Shizuo (00509656)

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7. Irie Takashi (70253325)

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8. NAKADA Kento (70532555)

# of Collaborated Projects: 1 results

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9. ISHIKAWA Masao (40243373)

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10. HAGIWARA Manabu (80415728)

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11. 岡崎正和 (40303193)

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12. 稲田佳彦 (80273572)

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13. 篠原陽子 (50335832)

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14. 李キョンウォン (90263425)

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15. 清田哲男 (20550841)

# of Collaborated Projects: 1 results

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16. 鳥居猛 (30341407)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. 奥山真吾 (50290812)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. KAMEKO Masaki

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

NAKAGAWA Masaki 中川 征樹

中川 征樹 ナカガワ マサキ

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職業科学者コミュニティの価値と面白さを擬似体験できる科学探究ゲームの原理の開発

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Equivariant Schubert calculus for p-compact groupsPrincipal Investigator

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Research on topological models for combinatorial Hopf algebrasPrincipal Investigator

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Development of learning materials with sensation by using virtual reality technology - in the case of three dimensional figures -

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Research on generalized cohomology of flag varieties and Schur functions and their variantsPrincipal Investigator

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Combinatorics of Schubert calculus and its application

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Morava K-theory of the exceptional Lie group and flag manifold

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Research on the loop spaces on Lie groups by combinatorial methodsPrincipal Investigator

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Schubert calculus on flag varieties and its applicationPrincipal Investigator

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Schubert geometry and special polynomials

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On the characteristic classes and The Chow ring of the exceptional Lie groups

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Invariants of the Weyl groups of exceptional Lie groups and their applicationsPrincipal Investigator

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[Journal Article] Towards equivariant Schubert calculus for p-compact groups2024

Author(s)

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NAKAGAWA Masaki 中川征樹

中川征樹ナカガワマサキ

[Journal Article] シューベルト・カルキュラス(特集図形から学ぶリー代数)2009