Nakai Hirofumi 中井洋史

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NAKAI Hirofumi 中井洋史

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Researcher Number	80343739
Other IDs	https://orcid.org/0000-0003-1757-4134
Affiliation (Current)	2025: 東京都市大学, 理工学部, 准教授
Affiliation (based on the past Project Information) *help	2025: 東京都市大学, 理工学部, 准教授 2009 – 2012: 東京都市大学, 知識工学部, 准教授 2008: 武蔵工業大学, 知識工学部, 准教授 2006 – 2007: 武蔵工業大学, 知識工学部, 講師 2006: 武蔵工業大学, 工学部, 講師 … More 2005: 大島商船高等専門学校, 一般科目, 講師 2002 – 2005: 大島商船高等専門学校, 講師 2004: 大島商船高等専門学校, 商船学科, 講師 Less
Review Section/Research Field	Principal Investigator Geometry / Basic Section 11020:Geometry-related Except Principal Investigator Geometry / Geometry
Keywords	Principal Investigator Adams-Novikovスペクトル系列 / 安定ホモトピー論 / 有限CWスペクトラム / Adams-Novikov スペクトル系列 / 球面の安定ホモトピー群 / ホモロジー代数 / ホモトピー論 / 一般コホモロジー / 代数学 / トポロジー / 有限スペクトラム / 安定ホモトピー群 … More Except Principal Investigator … More ピカール群 / 球面のホモトピー群 / Adams-Novikovスペクトル系列 / Johnson-Wilsonスペクトラム / Bousfield局所化 / Adams-Novikov spectral sequence / Picard group / Johnson-Wilson spectrum / Bousfield localization / 可逆スペクトラム / 安定ホモトピー圏 / 幾何学 / 代数学 / Morava K理論 / スペクトラム / invertible spectrum / homotopy groups of spheres / finite spectrum / stable homotopy category / 有限スペクトラム / Bousfield's Category / CW-Spectrum / Adams Operation / Conlugation / KO-Homology Equivalence / K-Localization Theory / Complex K-Theory / Real K-Theory / ねじれ群 / 共役作用素 / CW複体 / 局所化理論 / バウシュフィルドの圏 / CWスペクトラム / アダムス作用素 / 共役素 / KOホモロジー同値 / K局所化理論 / 複素K理論 / 実K理論 / finite complexes / spectra / spheres / stable homotopy groups / 有限複体 / 球面 / 安定ホモトピー群 / 素粒子物理 / 組合せ論 / 代数幾何 / 数理物理 / 佐々木・アインシュタイン多様体 / ファノ多様体 / D加群 / 量子群 / 共形場理論 / モジュライ空間 / 微分幾何 / トポロジー / Brown-Petersonスペクトラム / アダムススペクトル系列 / 安定ホモトピー / 局所化 / ホモトピー群 / 安定ホモトピー論 / 位相幾何学 Less

実ジョンソン・ウィルソン理論を用いた安定ホモトピー圏の研究Principal Investigator
- Principal Investigator
  
  中井洋史
- Project Period (FY)
  2025 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Tokyo City University
Study on periodic elements in the homotopy groups of spheresPrincipal Investigator
- Principal Investigator
  
  NAKAI Hirofumi
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Tokyo City University
Combinatorics of Fano varieties and its application to Sasaki-Einstein manifolds
- Principal Investigator
  
  HASHIMOTO Yoshitake
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
Study on homotopy groups of localized spectra
- Principal Investigator
  
  SHIMOMURA Katsumi
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kochi University
BP理論を用いた有限スペクトラムの安定ホモトピー群の研究Principal Investigator
- Principal Investigator
  
  中井洋史
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Musashi Institute of Technology
  Oshima National College of Maritime Technology
Study on automorphic functors on the stable homotopy category through homotopy groups of finite complexes
- Principal Investigator
  
  SHIMOMURA Katsumi
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kochi University
Research of the Localization with respect to K-Theory and its Picard Group
- Principal Investigator
  
  YOSHIMURA Zen-ichi
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Nagoya Institute of Technology
Research on a localized stable homotopy category
- Principal Investigator
  
  SHIMOMURA Katsumi
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  KOCHI UNIVERSITY

All 2013 2012 2011 2010 2008 2007 2006 2003 Other

All Journal Article Presentation Book

[Book] 世界を読み解くリテラシー2011
- Author(s)
  井上健・山本史華・中井洋史
- Publisher
  萌書房
- Data Source
  KAKENHI-PROJECT-22740045
[Book] 世界を読み解くリテラシー2011
- Author(s)
  井上健・山本史華・中井洋史(共編)
- Total Pages
  272
- Publisher
  萌書房
- Data Source
  KAKENHI-PROJECT-22740045
[Journal Article] ラムダ代数を用いたAdams E2項の元の表示2013
- Author(s)
  中井洋史
- Journal Title
  
  東京都市大学共通教育センター紀要
  
  Volume: 6 Pages: 81-93
- Data Source
  KAKENHI-PROJECT-22740045
[Journal Article] ラムダ代数を用いたAdamsE2項の元の表示2013
- Author(s)
  中井洋史
- Journal Title
  
  東京都市大学共通教育センター紀要
  
  Volume: 6 Pages: 81-93
- Data Source
  KAKENHI-PROJECT-22740045
[Journal Article] Motivicホモトピー圏におけるChromatic的手法2012
- Author(s)
  中井洋史
- Journal Title
  
  東京都市大学共通教育センター紀要
  
  Volume: 5 Pages: 43-56
- NAID
  40019298841
- Data Source
  KAKENHI-PROJECT-22740045
[Journal Article] トポロジーの工学への応用(現状と展望)2011
- Author(s)
  中井洋史
- Journal Title
  
  東京都市大学共通教育センター紀要
  
  Volume: 4 Pages: 91-103
- NAID
  40018813064
- Data Source
  KAKENHI-PROJECT-22740045
[Journal Article] An algebraic generalization of Image J, Homology2008
- Author(s)
  中井洋史
- Journal Title
  
  Homotopy and Applications 10
  
  Pages: 321-333
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540089
[Journal Article] An Algebraic generalization of Image J2008
- Author(s)
  H. Nakai
- Journal Title
  
  Homology, Homotopy and Applications 10
  
  Pages: 321-333
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540089
[Journal Article] On the homotopy groups of E(n)-local spectra with unusual invariant ideals2007
- Author(s)
  中井洋史、下村克己
- Journal Title
  
  Geometry & Topology Monographs 10
  
  Pages: 319-332
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540089
[Journal Article] On the homotopy groups of E(n)-local spectra with unusual invariant ideals2007
- Author(s)
  H. Nakai and K. Shimomura
- Journal Title
  
  Geometry & Topology Monographs 10
  
  Pages: 319-332
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540089
[Journal Article] On the homotopy groups of E(n)-local spectra with unusual invariant ideals2007
- Author(s)
  H.Nakai, K.Shimomura
- Journal Title
  
  Geometry ＆ Topology Monographs 10 (出版予定)
- Data Source
  KAKENHI-PROJECT-18540089
[Journal Article] The first cohomology group of the generalized Morava stabilizer algebra2003
- Author(s)
  Hirofumi Nakai, Douglas C.Ravenel
- Journal Title
  
  Proceedings of American Mathematics Society 131
  
  Pages: 1629-1639
- Data Source
  KAKENHI-PROJECT-15540068
[Journal Article] The first cohomology group of the generalized Morava stabilizer algebra2003
- Author(s)
  H.Nakai, D.C.Ravenel
- Journal Title
  
  Proceedings of American Mathematics Society Vol.13
  
  Pages: 1629-1639
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540068
[Journal Article] The structure of general chromatic E1-term Ext0Γ(2)(BP*,M12) at the prime 22003
- Author(s)
  Hirofumi Nakai, Daichi Yoritomi
- Journal Title
  
  Hiroshima Mathematical Journal 33
  
  Pages: 137-156
- Data Source
  KAKENHI-PROJECT-15540068
[Journal Article] The first cohomology group of the generalized Morava stabilizer algebra2003
- Author(s)
  H.Nakai, D.C.Ravenel
- Journal Title
  
  Proceedings of American Mathematics Society 13
  
  Pages: 1629-1639
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540068
[Journal Article] The structure of general chromatic E_1-term Ext^0_<Γ(2)> (BP_*,M^1_2) at the prime 22003
- Author(s)
  H.Nakai, D.Yoritomi
- Journal Title
  
  Hiroshima Mathematical Journal Vol.33
  
  Pages: 137-156
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540068
[Journal Article] The structure of general chromatic E_1-term Ext^0_<Γ(2)>(BP_*,M^1_2) at the prime 22003
- Author(s)
  H.Nakai, D.Yoritomo
- Journal Title
  
  Hiroshima Mathematical Journal 33
  
  Pages: 137-156
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540068
[Journal Article] On the homotopy groups of E(n)-local spectra with unusual invariant ideals
- Author(s)
  Hirofumi Nakai, Katsumi Shimomura
- Journal Title
  
  Geometry & Topology Monographs (印刷中)
- Data Source
  KAKENHI-PROJECT-16740043
[Journal Article] On the homotopy groups of E(n)-local spectra with unusual invariant ideals
- Author(s)
  H.Nakai, K.Shimomura
- Journal Title
  
  Geometry and Topology Monographs (印刷中)
- Data Source
  KAKENHI-PROJECT-16540073
[Journal Article] On the homotopy groups of E(n)-local spectra with unusual invariant ideals
- Author(s)
  H.Nakai, K.Shimomura
- Journal Title
  
  Contemporary Math. (印刷中)(未定)
- Data Source
  KAKENHI-PROJECT-16540073
[Presentation] Adams型のスペクトル系列「(コ)ホモロジーからホモトピーへの架け橋」「解決した問題,未解決の問題」2013
- Author(s)
  中井洋史
- Organizer
  代数的トポロジー信州春の学校
- Place of Presentation
  信州大学
- Year and Date
  2013-03-10
- Data Source
  KAKENHI-PROJECT-22740045
[Presentation] Exact Functor theorems and Elliptic cohomologies2012
- Author(s)
  中井洋史
- Organizer
  SGAD2012
- Place of Presentation
  東京大学
- Year and Date
  2012-11-15
- Data Source
  KAKENHI-PROJECT-22740045
[Presentation] Behrens'Q(N) spectra and Shimomura's β -elements2012
- Author(s)
  中井洋史
- Organizer
  高知ホモトピー論談話会
- Place of Presentation
  高知大学
- Year and Date
  2012-12-28
- Data Source
  KAKENHI-PROJECT-22740045
[Presentation] Toward understanding the motivic chromatic phenomena2011
- Author(s)
  中井洋史
- Organizer
  高知ホモトピー論談話会
- Place of Presentation
  高知大学
- Year and Date
  2011-12-28
- Data Source
  KAKENHI-PROJECT-22740045
[Presentation] On p-torsion δ-elements in the Adams-Novikov spectral sequence2010
- Author(s)
  中井洋史,加藤諒
- Organizer
  日本数学会秋期会トポロジー分科会
- Place of Presentation
  名古屋大学
- Year and Date
  2010-09-24
- Data Source
  KAKENHI-PROJECT-22740045
[Presentation] On p-torsion δ-elements in the Adams-Novikov spectral sequence2010
- Author(s)
  中井洋史(加藤諒氏と共同)
- Organizer
  日本数学会秋期会トポロジー分科会
- Place of Presentation
  名古屋大学(愛知)
- Year and Date
  2010-09-24
- Data Source
  KAKENHI-PROJECT-22740045
[Presentation] T(m)スペクトラムのホモトピー群の周辺2008
- Author(s)
  中井洋史
- Organizer
  ホモトピー論シンポジウム
- Place of Presentation
  香川県高松市サンポート高松
- Year and Date
  2008-12-06
- Data Source
  KAKENHI-PROJECT-18540089
[Presentation] T(m)スペクトラムのホモトピー群の周辺2008
- Author(s)
  中井洋史
- Organizer
  ホモトピー論シンポジウム
- Place of Presentation
  香川県高松市サンポートホール高松
- Year and Date
  2008-12-06
- Data Source
  KAKENHI-PROJECT-18540089
[Presentation] Calculatioins for some Hopf algebroids related to topological modular form2007
- Author(s)
  中井洋史
- Organizer
  International Conference (Complex cobordism in homotopy theory : its impact and prospects)
- Place of Presentation
  アメリカJohns Hopkins 大学
- Year and Date
  2007-03-12
- Data Source
  KAKENHI-PROJECT-18540089
[Presentation] On β-elements in the Adams-Novikov spectral sequence2007
- Author(s)
  中井洋史
- Organizer
  ホモトピー論シンポジウム
- Place of Presentation
  石川県金沢市金沢歌劇座
- Year and Date
  2007-11-16
- Data Source
  KAKENHI-PROJECT-18540089
[Presentation] On β-elements in the Adams-Novikov spectral sequence2007
- Author(s)
  中井洋史
- Organizer
  ホモトピー論シンポジウム
- Place of Presentation
  金沢歌劇座
- Year and Date
  2007-11-16
- Data Source
  KAKENHI-PROJECT-18540089
[Presentation] On the structure of cohomology groups of Weierstrass Hopf algebroids2007
- Author(s)
  中井洋史
- Organizer
  福岡ホモトピー論セミナー
- Place of Presentation
  福岡市福岡大学セミナーハウス
- Year and Date
  2007-12-22
- Data Source
  KAKENHI-PROJECT-18540089
[Presentation] An algebraic generalization of Image J in the Adams-Novikov spectral sequence2006
- Author(s)
  中井洋史
- Organizer
  ホモトピー論シンポジウム
- Place of Presentation
  愛媛県松山市愛媛大学
- Year and Date
  2006-11-29
- Data Source
  KAKENHI-PROJECT-18540089
[Presentation] Behrens’ Q(N) spectra and Shimomura’s β-elements
- Author(s)
  中井洋史
- Organizer
  高知ホモトピー論談話会
- Place of Presentation
  高知大学
- Invited
- Data Source
  KAKENHI-PROJECT-22740045
[Presentation] Exact functor theorems and Elliptic cohomologies
- Author(s)
  中井洋史
- Organizer
  SGAD2012
- Place of Presentation
  東京大学
- Invited
- Data Source
  KAKENHI-PROJECT-22740045

1. OOKAWA Tetsusuke (60116548)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
2. SHIMOMURA Katsumi (30206247)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
3. HEMM Yutaka (70181477)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. HIKIDA Mizuho (80156570)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. KOMATSU kazushi (00253336)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. HASHIMOTO Yoshitake (20271182)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. SAKAGUCHI Makoto (90382027)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. OHBA Kiyoshi (80242337)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. YASUI Yukinori (30191117)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. YAGITA Nobuaki (20130768)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. YOSHIMURA Zen-ichi (70047330)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. MINAMI Norihiko (80166090)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. 下村克巳

# of Collaborated Projects: 0 results

# of Collaborated Products: 5 results

Nakai Hirofumi 中井 洋史

NAKAI Hirofumi 中井 洋史

Research Projects

Research Products

Co-Researchers

実ジョンソン・ウィルソン理論を用いた安定ホモトピー圏の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Study on periodic elements in the homotopy groups of spheresPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Combinatorics of Fano varieties and its application to Sasaki-Einstein manifolds

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study on homotopy groups of localized spectra

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

BP理論を用いた有限スペクトラムの安定ホモトピー群の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study on automorphic functors on the stable homotopy category through homotopy groups of finite complexes

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research of the Localization with respect to K-Theory and its Picard Group

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research on a localized stable homotopy category

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Book] 世界を読み解くリテラシー2011

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Data Source

[Book] 世界を読み解くリテラシー2011

Author(s)

Total Pages

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Data Source

[Journal Article] ラムダ代数を用いたAdams E2項の元の表示2013

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Journal Title

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[Journal Article] ラムダ代数を用いたAdamsE2項の元の表示2013

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[Journal Article] Motivicホモトピー圏におけるChromatic的手法2012

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NAID

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[Journal Article] トポロジーの工学への応用(現状と展望)2011

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Journal Title

NAID

Data Source

Nakai Hirofumi 中井洋史

NAKAI Hirofumi 中井洋史