TORII Takeshi 鳥居猛

Researcher Number	30341407
Other IDs
Affiliation (Current)	2025: 岡山大学, 環境生命自然科学学域, 教授
Affiliation (based on the past Project Information) *help	2023 – 2024: 岡山大学, 環境生命自然科学学域, 教授 2021 – 2023: 岡山大学, 自然科学学域, 教授 2017 – 2020: 岡山大学, 自然科学研究科, 教授 2012 – 2016: 岡山大学, 自然科学研究科, 准教授 2009 – 2012: 岡山大学, 大学院・自然科学研究科, 准教授 … More 2009: 岡山大学, 自然科学研究科, 准教授 2007: Okayama University, 大学院・自然科学研究科, 准教授 2002 – 2006: 福岡大学, 理学部, 助手 Less
Review Section/Research Field	Principal Investigator Geometry / Basic Section 11020:Geometry-related Except Principal Investigator Geometry / Basic Section 11010:Algebra-related / Basic Section 11020:Geometry-related / Geometry / Algebra
Keywords	Principal Investigator Morava E理論 / クロマティックホモトピー論 / 安定ホモトピー論 / 表現のモジュライ / 安定ホモトピー圏 / 無限大双圏 / Morava K理論 / quasi-category / ホモトピー固定点スペクトラム / ホモトピー論的代数幾何 … More / Chern指標 / Morava安定化群 / 形式群 / 形式自由ループ空間 / 半加法的高さ / テンパード・コホモロジー / 一般Chern指標 / Hochschildコホモロジー / メイト対応 / ラックス自然変換 / 安定無限大圏 / 導来代数幾何 / Hopf亜代数 / Enモノイド / 余代数 / En代数 / 淡中随伴 / 余加群 / ホップ亜代数 / 双代数 / Morava E理論オペラッド / モノイデイル / オペラッド / ラックスモノイダル関手 / モノイダル圏 / 無限大圏 / Lubin-Tateコホモロジー / クロマティックホモトピー理論 / Lubin-Tate コホモロジー / Bousfield 局所化 / 降下スペクトル系列 / 離散Gスペクトラム / Johnson-Wilson理論 / Bousfiled局所化 / Morava K理論 / スペクトラム / 導来圏 / Bousfield局所化 / モデル圏 / ホモトピー固定点 / クロマティックレベル / ホモトピカル代数幾何 / 可換S代数 / HKR指標 / Adamsスペクトル系列 / クロマティック赤方偏移 / Chern 指標 / Morava 安定化群 / 複素コボルディズム / Lubin Tate cohomology / local number theory / Morava stabilizer group / Lubin-Tate cohomology / cohomology of profinite group / chromatic splitting conjecture / complex cobordism / stable homotopy theory / formal group law … More Except Principal Investigator ホモトピー論 / 表現のモジュライ / 不変式論 / 代数幾何学 / 代数学 / Homotopy fixed point set / Compact Lie groups / p-compact groups / Homotopy / Classifying spaces / Invariant Theory / コンパクトLie群 / p-コンパクト群 / コホモロジー論 / 分類空間 / トポロジー / 幾何学 / 表現論 / 複素鏡映群 / 旗多様体 / p－コンパクト群 / トーラス同変コホモロジー / 対称関数 / ユニタリー鏡映群 / シューベルト・カルキュラス / Invariant theory / p-local finite / Weyl群 / Lie群 / Admissible map / Localizations of spaces / コホモロジー / 空間の局所化 / ホモトピー不動点集合 / フランス / Belyi関数 / グロタンディーク・タイヒミュラー群 / エル進反復積分 / グロタンディーク・デッサン / 楕円曲線 / 国際研究者交流 / ガロア群 / 高次対数関数 / 関数等式 / 反復積分 / 同変空間 / 2次結合 / ホモトピー / ホップ構成 / ホップ不変量 / 一般コホモロジー / 位相幾何学 / 楕円コホモロジー論 / 無限ループ空間 / Morava K-理論 / 単体集合 / 対称群 / 指標 / K-理論 / 楕円コホモロジー / 形式群 / カテゴリー Less

Moduli of representations and related topics
- Principal Investigator
  
  中本和典
- Project Period (FY)
  2024 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  University of Yamanashi
Equivariant Schubert calculus for p-compact groups
- 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
トランス・クロマティック・ホモトピー論の研究Principal Investigator
- Principal Investigator
  
  鳥居猛
- Project Period (FY)
  2023 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Okayama University
Moduli of representations and related topics (4)
- Principal Investigator
  
  Nakamoto Kazunori
- Project Period (FY)
  2020 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  University of Yamanashi
一般の安定ホモトピー論における余加群の研究Principal Investigator
- Principal Investigator
  
  鳥居猛
- Project Period (FY)
  2017 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Okayama University
Research on the stable homotopy category using quasi-categoriesPrincipal Investigator
- Principal Investigator
  
  Torii Takeshi
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Okayama University
Chromatic redshift and homotopical algebraic geometryPrincipal Investigator
- Principal Investigator
  
  TORII Takeshi
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Okayama University
Higher dimensional category and its applications
- Principal Investigator
  
  NISHIDA Goro
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Reconstruction of generalized cohomology theories by means of the notion of continuous functors
- Principal Investigator
  
  SHIMAKAWA Kazuhisa
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Okayama University
A study of stable Hopf invariants and Hopf constructions
- Principal Investigator
  
  ODA Nobuyuki
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Fukuoka University
グロタンディークデッサンと悲合同的タイヒミュラー被覆の数論
- Principal Investigator
  
  中村博昭
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Okayama University
安定ホモトピー圏の大域的構造の研究Principal Investigator
- Principal Investigator
  
  鳥居猛
- Project Period (FY)
  2006 – 2007
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Okayama University
  Fukuoka University
安定ホモトピー圏と形式群のモジュライPrincipal Investigator
- Principal Investigator
  
  鳥居猛
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Fukuoka University
Classifying spaces of compact Lie groups topology of p-compact groups
- Principal Investigator
  
  ISHIGURO Kenshi
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Fukuoka University
Homotopy Methods in a Generalization of Lie Group Theory
- Principal Investigator
  
  ISHIGURO Kenshi
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Fukuoka University

[Journal Article] The moduli of 4-dimensional subalgebras of the full matrix ring of degree 32024
- Author(s)
  Kazunori Nakamoto and Takeshi Torii
- Journal Title
  
  Symposium on Ring Theory and Representation Theory Organizing Committee, Matsumoto, 2024
  
  Pages: 66-73
- Open Access
- Data Source
  KAKENHI-PROJECT-20K03509
[Journal Article] A perfect pairing for monoidal adjunctions2023
- Author(s)
  Torii Takeshi
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 151 Pages: 5069-5080
- DOI
  10.1090/proc/16460
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05253, KAKENHI-PROJECT-23K03113, KAKENHI-PROJECT-20K03509
[Journal Article] Applications of Hochschild cohomology to the moduli of subalgebras of the full matrix ring2023
- Author(s)
  Nakamoto Kazunori, Torii Takeshi
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 227 Issue: 11 Pages: 107426-107426
- DOI
  10.1016/j.jpaa.2023.107426
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05253, KAKENHI-PROJECT-23K03113, KAKENHI-PROJECT-20K03509
[Journal Article] On graded E_∞-rings and projective schemes in spectral algebraic geometry2022
- Author(s)
  Ohara Mariko, Torii Takeshi
- Journal Title
  
  Journal of Homotopy and Related Structures
  
  Volume: 17 Issue: 1 Pages: 105-144
- DOI
  10.1007/s40062-021-00298-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05253
[Journal Article] An application of Hochschild cohomology to the moduli of subalgebras of the full matrix ring II2021
- Author(s)
  Kazunori Nakamoto and Takeshi Torii
- Journal Title
  
  第８回日中韓環論国際シンポジウム報告集
  
  Volume: －
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03509
[Journal Article] On Quasi-Categories of Comodules and Landweber Exactness2020
- Author(s)
  Torii Takeshi
- Journal Title
  
  Springer Proceedings in Mathematics & Statistics
  
  Volume: 309 Pages: 325-380
- DOI
  10.1007/978-981-15-1588-0_11
- ISBN
  9789811515873, 9789811515880
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05253
[Journal Article] Comparison of power operations in Morava E-theories2017
- Author(s)
  Takeshi Torii
- Journal Title
  
  Homology, Homotopy and Applications
  
  Volume: 19 Issue: 1 Pages: 59-87
- DOI
  10.4310/hha.2017.v19.n1.a4
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400092
[Journal Article] Virtual Hodge polynomials of the moduli spaces of representations of degree 2 for free monoids2016
- Author(s)
  Ｋａｚｕｎｏｒｉ　Ｎａｋａｍｏｔｏ　ａｎｄ　Ｔａｋｅｓｈｉ　Ｔｏｒｉｉ
- Journal Title
  
  Kodai Mathematical Journal
  
  Volume: 39 Issue: 1 Pages: 80-109
- DOI
  10.2996/kmj/1458651693
- NAID
  130005475880
- ISSN
  0386-5991, 1881-5472
- Language
  English
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-15K04814, KAKENHI-PROJECT-25400092
[Journal Article] Every K(n)-local spectrum is the homotopy fixed points of its Morava module2012
- Author(s)
  Daniel G Davis and Takeshi Torii
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 140 Issue: 3 Pages: 1097-1103
- DOI
  10.1090/s0002-9939-2011-11189-4
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540087
[Journal Article] Every K(n)-local spectrum is the homotopy fixed points of its Morava module2012
- Author(s)
  Daniel G Davis and Torii Takeshi
- Journal Title
  
  Proc. Amer. Math. Soc
  
  Volume: 140 no. 3 Pages: 1097-1103
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540087
[Journal Article] Rational homotopy type of the moduli of representations with Borel mold2012
- Author(s)
  Kazunori Nakamoto and Takeshi Torii
- Journal Title
  
  Forum Mathematicum
  
  Volume: 24 Issue: 3 Pages: 507-538
- DOI
  10.1515/form.2011.071
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540087, KAKENHI-PROJECT-23540044
[Journal Article] Rational homotopy type of the moduli of representations with Borel mold2012
- Author(s)
  Nakamoto Kazunori and Torii Takeshi
- Journal Title
  
  Forum Math
  
  Volume: 24 no. 3 Pages: 507-538
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540087
[Journal Article] Topology of the representation varieties with Borel mold for unstable cases2011
- Author(s)
  Nakamoto Kazunori and Torii Takeshi
- Journal Title
  
  J. Aust. Math. Soc
  
  Volume: 91 no. 1 Pages: 55-87
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540087
[Journal Article] K(n)-localization of the K(n+1)-local E_{n+1}-Adams spectral sequences2011
- Author(s)
  Torii Takeshi
- Journal Title
  
  Pacific Journal of Mathematics
  
  Volume: 250 Issue: 2 Pages: 439-471
- DOI
  10.2140/pjm.2011.250.439
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540087
[Journal Article] K(n)-localization of the K(n+1)-local E_{n+1}-Adams spectral sequences2011
- Author(s)
  Torii Takeshi
- Journal Title
  
  Pacific J. Math
  
  Volume: 250 no. 2 Pages: 439-471
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540087
[Journal Article] HKR characters, p-divisible groups and the generalized Chern character2010
- Author(s)
  Torii Takeshi
- Journal Title
  
  Transactions of the American Mathematical Society
  
  Volume: 362 Pages: 6159-6181
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540087
[Journal Article] Comparison of Morava E-theories2010
- Author(s)
  Torii Takeshi
- Journal Title
  
  Math. Z
  
  Volume: 266 no. 4 Pages: 933-951
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540087
[Journal Article] Comparison of Morava E-theories2010
- Author(s)
  Torii Takeshi
- Journal Title
  
  Mathematische Zeitschrift
  
  Volume: 266 Pages: 933-951
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540087
[Journal Article] On E_∞-structure of the generalized Chern character2010
- Author(s)
  Torii Takeshi
- Journal Title
  
  Bull. Lond. Math. Soc
  
  Volume: 42 no. 4 Pages: 680-690
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540087
[Journal Article] HKR characters, p-divisible groups and the generalized Chern character,2010
- Author(s)
  Takeshi Torii
- Journal Title
  
  Amer.Math.Soc. (発表予定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540075
[Journal Article] On E_∞-structure of the generalized Chern character2010
- Author(s)
  Torii Takeshi
- Journal Title
  
  Bulletin of the London Mathematical Society
  
  Volume: 42 Pages: 680-690
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540087
[Journal Article] Algebraic vector bundles on SL(3,C)2007
- Author(s)
  K.Nakamoto and T.Torii
- Journal Title
  
  Rocky Mountain Journal of Mathematics 37
  
  Pages: 587-596
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540106
[Journal Article] Molnor operations and the generalized Chern character2007
- Author(s)
  Takeshi Torii
- Journal Title
  
  Geom. Topol. Monogr vol.10
  
  Pages: 383-421
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540087
[Journal Article] Algebraic vector bundles on SL(3, C)2007
- Author(s)
  Kazunori Nakamoto and Takeshi Torii
- Journal Title
  
  Rocky Mountain Journal of Mathematics 37
  
  Pages: 587-596
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740040
[Journal Article] Milnor operations and the generalized Chern character Geom.2007
- Author(s)
  Takeshi Torii
- Journal Title
  
  Topol. Monogr. 10
  
  Pages: 383-421
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540075
[Journal Article] Milnor operations and the generalized Chern character2007
- Author(s)
  Takeshi Torii
- Journal Title
  
  Geometry & topology Monographs 10
  
  Pages: 383-421
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740040
[Journal Article] Algebraic vector bundles on SL(3, C)2007
- Author(s)
  Kazunori Nakamoto, Takeshi Torii
- Journal Title
  
  Rocky Mountain J. Math. 37
  
  Pages: 587-596
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540075
[Journal Article] Milnor operations and the generalized Chern character2007
- Author(s)
  T.Torii
- Journal Title
  
  Geometry and Topology Monographs 10
  
  Pages: 383-421
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540106
[Journal Article] On relations between 1-lines of Adams-Novikov spectral sequences modulo invariant prime ideals2005
- Author(s)
  Takeshi Torii
- Journal Title
  
  Topology Appl. 150
  
  Pages: 33-57
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540075
[Journal Article] On relations between 1-lines of Adams-Novikov spectral sequences modulo invariant prime ideals2005
- Author(s)
  T.Torii
- Journal Title
  
  Topology and Its Applications 150
  
  Pages: 33-57
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540088
[Journal Article] On relations between 1-lines of Adams-Novikov spectral sequences modulo invariant prime ideals2005
- Author(s)
  Takeshi Torii
- Journal Title
  
  Topology and Its Applications 150・1-3
  
  Pages: 33-57
- Data Source
  KAKENHI-PROJECT-16740041
[Journal Article] On relations between 1-lines of Adams-Novikov spectral sequences modulo invariant prime ideals2005
- Author(s)
  T.Torii
- Journal Title
  
  Topology and Its Applications vol 150(1)--(3)
  
  Pages: 33-57
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540088
[Journal Article] Topology of the moduli of representations with Borel mold2004
- Author(s)
  K.Nakamoto, T.Torii
- Journal Title
  
  Pacific J. Math. 213(2)
  
  Pages: 365-387
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540088
[Journal Article] Topology of the moduli of representations with Borel mold2004
- Author(s)
  K.Nakamoto, T.Torii
- Journal Title
  
  Pacific J.Math. vol 213(2)
  
  Pages: 365-387
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540088
[Journal Article] HKR characters, p-divisible groups and the generalized Chern character, to appear in Trans.
- Author(s)
  Takeshi Torii
- Journal Title
  
  Amer. Math. Soc
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540075
[Journal Article] Comparison of Morava E-theories, to appear in Math. Z
- Author(s)
  Takeshi Torii
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540075
[Journal Article] Rational homotopy type of the moduli of representations with Borel mold
- Author(s)
  K.Nakamoto, T.Torii
- Journal Title
  
  Preprint
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540088
[Journal Article] Algebraic vector bundles on SL(3, C)
- Author(s)
  K.Nakamoto, T.Torii
- Journal Title
  
  Rocky Mountain Journal of Mathematics (to appear in)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540088
[Journal Article] Algebraic vector bundles on SL (3,C)
- Author(s)
  Kazunori Nakamoto, Takeshi Torii
- Journal Title
  
  Rocky Mountain Journal of Mathematics (to appear)
- Data Source
  KAKENHI-PROJECT-16740041
[Journal Article] Algebraic vector bundles on SL(3,C)
- Author(s)
  Kazunori Nakamoto, Takeshi Torii
- Journal Title
  
  Rocky Mountain Journal of Mathematics (to appear)
- Data Source
  KAKENHI-PROJECT-16740041
[Journal Article] Algebraic vector bundles on SL(3,C)
- Author(s)
  K.Nakamoto, T.Torii
- Journal Title
  
  to appear in Rocky Mountain Journal of Mathematics
- Data Source
  KAKENHI-PROJECT-16540088
[Journal Article] Algebraic vector bundles on SL(3.C)
- Author(s)
  Kazunori Nakamoto, Takeshi Torii
- Journal Title
  
  Rocky Mountain Journal of Mathematics (to appear)
- Data Source
  KAKENHI-PROJECT-18740040
[Journal Article] Milnor operations and the generalized Chern character
- Author(s)
  T.Torii
- Journal Title
  
  Geometry and Topology Monographs (to appear in)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540088
[Journal Article] On additive unstable operations for cohomology theories over P(n)
- Author(s)
  T.Torii
- Journal Title
  
  (Preprint)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540088
[Journal Article] Algebraic vector bundles on SL(3,C)
- Author(s)
  Kazunori Nakamoto, Takeshi Torii
- Journal Title
  
  Rocky Mountain Journal of Mathematics (to appear)
- Data Source
  KAKENHI-PROJECT-16540088
[Journal Article] Comparison of Morava E-theories
- Author(s)
  Takeshi Torii
- Journal Title
  
  Math. Z. (in preparation)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540087
[Journal Article] Equivariance of generalized Chern characters
- Author(s)
  T.Torii
- Journal Title
  
  Preprint
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540088
[Journal Article] Milnor operations and the generalized Chern character
- Author(s)
  T.Torii
- Journal Title
  
  to appear in Geometry and Topology Monographs
- Data Source
  KAKENHI-PROJECT-16540088
[Journal Article] Milnor operations and the generalised chem character
- Author(s)
  Takeshi Torii
- Journal Title
  
  Geometry and Topology Monographs (to appear)
- Data Source
  KAKENHI-PROJECT-18740040
[Journal Article] On relations between 1-lines of Adams-Novikov spectral sequences modulo invariant prime ideals
- Author(s)
  Takeshi Torii
- Journal Title
  
  Topology and its Applications (to appear)
- Data Source
  KAKENHI-PROJECT-16540088
[Journal Article] HKR characters, p-divisible groups and the generalized Chern character
- Author(s)
  Takeshi Torii
- Journal Title
  
  Trans. Amer. Math. Soc. (in preparation)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540087
[Journal Article] Equivariance of generalized Chern characters
- Author(s)
  T.Torii
- Journal Title
  
  (Preprint)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540088
[Journal Article] Rational homotopy type of the moduli of representations with Borel mold
- Author(s)
  K.Nakamoto, T.Torii
- Journal Title
  
  (Preprint)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540088
[Journal Article] On additive unstable operations for cohomology theories over P(n)
- Author(s)
  T.Torii
- Journal Title
  
  Preprint
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540088
[Journal Article] On relations between 1-lines of Adams-Norikov spectral sequences modulo invariant prime ideals
- Author(s)
  Takeshi Torii
- Journal Title
  
  Topology and Its Applications (to appear)
- Data Source
  KAKENHI-PROJECT-16740041
[Journal Article] Milnor operations and the generalized Chern character
- Author(s)
  T.Torii
- Journal Title
  
  Geometry and Topology Monographs (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540088
[Journal Article] n E∞-structure of the generalized Chern character, to appear in Bull.
- Author(s)
  Takeshi Torii
- Journal Title
  
  Lond. Math. Soc.
- Data Source
  KAKENHI-PROJECT-19540075
[Journal Article] Milnor operations and the generalized Chem character
- Author(s)
  Takeshi Torii
- Journal Title
  
  Geometry and Topology Monographs (to appear)
- Data Source
  KAKENHI-PROJECT-16740041
[Journal Article] Algebraic vector bundles on SL(3,C)
- Author(s)
  K.Nakamoto, T.Torii
- Journal Title
  
  Rocky Mountain Journal of Mathematics (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540088
[Journal Article] On E_\infty-structure of the generalized Chern character
- Author(s)
  Takeshi Torii
- Journal Title
  
  Bull. London Math. Soc. (in preparation)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540087
[Presentation] A mate correspondence for ∞-bicategories2024
- Author(s)
  鳥居猛
- Organizer
  「非可換代数幾何学の大域的問題とその周辺」高知小研究集会
- Data Source
  KAKENHI-PROJECT-20K03509
[Presentation] The moduli of 4-dimensional subalgebras of the full matrix ring of degree 32024
- Author(s)
  鳥居猛、中本和典
- Organizer
  「非可換代数幾何学の大域的問題とその周辺」高知小研究集会
- Data Source
  KAKENHI-PROJECT-20K03509
[Presentation] A mate correspondence for ∞-bicategories2024
- Author(s)
  鳥居　猛
- Organizer
  「非可換代数幾何学の大域的問題とその周辺」高知小研究集会
- Data Source
  KAKENHI-PROJECT-23K03113
[Presentation] A mate correspondence for ∞-bicategories2024
- Author(s)
  鳥居　猛
- Organizer
  「非可換代数幾何学の大域的問題とその周辺」高知小研究集会
- Data Source
  KAKENHI-PROJECT-17K05253
[Presentation] The moduli of 4-dimensional subalgebras of the full matrix ring of degree 32023
- Author(s)
  Kazunori Nakamoto and Takeshi Torii
- Organizer
  第55回環論および表現論シンポジウム
- Data Source
  KAKENHI-PROJECT-20K03509
[Presentation] A mate correspondence for ∞-bicategories2023
- Author(s)
  鳥居　猛
- Organizer
  高知ホモトピー論談話会2023
- Invited
- Data Source
  KAKENHI-PROJECT-23K03113
[Presentation] A mate correspondence for ∞-bicategories2023
- Author(s)
  鳥居猛
- Organizer
  高知ホモトピー論談話会
- Invited
- Data Source
  KAKENHI-PROJECT-20K03509
[Presentation] A mate correspondence for ∞-bicategories2023
- Author(s)
  鳥居　猛
- Organizer
  高知ホモトピー論談話会2023
- Invited
- Data Source
  KAKENHI-PROJECT-17K05253
[Presentation] E_n代数のKoszul双対性2022
- Author(s)
  鳥居　猛
- Organizer
  「非可換代数幾何学の大域的問題とその周辺」高知小研究集会
- Data Source
  KAKENHI-PROJECT-17K05253
[Presentation] Uniqueness of monoidal adjunctions2022
- Author(s)
  鳥居　猛
- Organizer
  高知ホモトピー論談話会
- Invited
- Data Source
  KAKENHI-PROJECT-17K05253
[Presentation] Uniqueness of monoidal adjunctions2022
- Author(s)
  鳥居猛
- Organizer
  高知ホモトピー論談話会2022
- Data Source
  KAKENHI-PROJECT-20K03509
[Presentation] Hochschild cohomology of N_m2022
- Author(s)
  板垣智洋、鳥居猛、中本和典
- Organizer
  日本数学会代数学分科会
- Data Source
  KAKENHI-PROJECT-20K03509
[Presentation] E_n代数のKoszul双対性2022
- Author(s)
  鳥居猛
- Organizer
  「非可換代数幾何学の大域的問題とその周辺」高知小研究集会
- Data Source
  KAKENHI-PROJECT-20K03509
[Presentation] On the spectral moduli stack of oriented formal groups2021
- Author(s)
  鳥居　猛
- Organizer
  高知ホモトピー論談話会
- Invited
- Data Source
  KAKENHI-PROJECT-17K05253
[Presentation] Hochschild cohomology of N_m2021
- Author(s)
  板垣智洋、鳥居猛、中本和典
- Organizer
  第53回環論および表現論シンポジウム
- Data Source
  KAKENHI-PROJECT-20K03509
[Presentation] Factorization homology 入門2021
- Author(s)
  鳥居　猛
- Organizer
  「非可換代数幾何学の大域的問題とその周辺」高知小研究集会
- Data Source
  KAKENHI-PROJECT-17K05253
[Presentation] On higher monoidal ∞-categories2021
- Author(s)
  鳥居　猛
- Organizer
  京都・九州・信州合同トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K05253
[Presentation] En代数の変形とHochschild cohomology II2020
- Author(s)
  鳥居猛
- Organizer
  「非可換代数幾何学の大域的問題とその周辺」高知小研究集会
- Data Source
  KAKENHI-PROJECT-20K03509
[Presentation] En 代数の変形と Hochschild cohomology (II)2020
- Author(s)
  鳥居　猛
- Organizer
  「非可換代数幾何学の大域的問題とその周辺」高知小研究集会
- Data Source
  KAKENHI-PROJECT-17K05253
[Presentation] On duoidal infinity-categories2020
- Author(s)
  鳥居　猛
- Organizer
  ホモトピー論シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-17K05253
[Presentation] En 代数の変形と Hochschild cohomology2019
- Author(s)
  鳥居　猛
- Organizer
  「非可換代数幾何学の大域的問題とその周辺」高知小研究集会
- Data Source
  KAKENHI-PROJECT-17K05253
[Presentation] Duoidal infinity-categories and Hopf algebroids2019
- Author(s)
  鳥居　猛
- Organizer
  研究集会「ホモトピー沖縄」
- Invited
- Data Source
  KAKENHI-PROJECT-17K05253
[Presentation] On duoidal infinity-categories2019
- Author(s)
  鳥居　猛
- Organizer
  高知ホモトピー論談話会
- Invited
- Data Source
  KAKENHI-PROJECT-17K05253
[Presentation] E_n淡中随伴について2019
- Author(s)
  鳥居　猛
- Organizer
  新居浜代数トポロジーワークショップ
- Invited
- Data Source
  KAKENHI-PROJECT-17K05253
[Presentation] A model for the K(n)-local stable homotopy category2018
- Author(s)
  鳥居　猛
- Organizer
  Chromatic Homotopy Theory, Journey to the Frontier
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05253
[Presentation] ∞圏における余加群と淡中随伴について2018
- Author(s)
  鳥居　猛
- Organizer
  福岡大学月曜トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K05253
[Presentation] ∞圏における淡中随伴について2018
- Author(s)
  鳥居　猛
- Organizer
  研究集会「ホモトピー沖縄」
- Invited
- Data Source
  KAKENHI-PROJECT-17K05253
[Presentation] ∞圏における淡中随伴について2018
- Author(s)
  鳥居　猛
- Organizer
  高知ホモトピー論談話会
- Data Source
  KAKENHI-PROJECT-17K05253
[Presentation] 離散GスペクトラムとK(n)局所安定ホモトピー圏のモデルについて2018
- Author(s)
  鳥居　猛
- Organizer
  東京大学トポロジー火曜セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K05253
[Presentation] En代数: 可換性と結合性の間2018
- Author(s)
  鳥居　猛
- Organizer
  「非可換代数幾何学の大域的問題とその周辺」高知小研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-17K05253
[Presentation] quasi-category入門2018
- Author(s)
  鳥居　猛
- Organizer
  山梨大学数学セミナー
- Data Source
  KAKENHI-PROJECT-17K05253
[Presentation] Introduction to quasi-categories2017
- Author(s)
  鳥居　猛
- Organizer
  「非可換代数幾何学の大域的問題とその周辺」高知小研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-17K05253
[Presentation] A model of the K(n)-local category2017
- Author(s)
  鳥居　猛
- Organizer
  安定ホモトピー論とその周辺
- Place of Presentation
  岡山大学理学部
- Data Source
  KAKENHI-PROJECT-25400092
[Presentation] K(n)-local categoryのモデルについて2017
- Author(s)
  鳥居　猛
- Organizer
  第64回トポロジーシンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-17K05253
[Presentation] The versal commutative S-algebra of characteristic p2017
- Author(s)
  鳥居　猛
- Organizer
  新居浜代数トポロジーワークショップ
- Invited
- Data Source
  KAKENHI-PROJECT-17K05253
[Presentation] Notes on bimodules in enriched infinity-categories2017
- Author(s)
  鳥居　猛
- Organizer
  高知ホモトピー論談話会 2017
- Invited
- Data Source
  KAKENHI-PROJECT-17K05253
[Presentation] A model for the K(n)-local stable homotopy category2017
- Author(s)
  鳥居　猛
- Organizer
  第44回変換群論シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-17K05253
[Presentation] Tannaka duality in stable homotopy theory2016
- Author(s)
  鳥居　猛
- Organizer
  高知ホモトピー論談話会
- Place of Presentation
  高知大学理学部
- Data Source
  KAKENHI-PROJECT-25400092
[Presentation] Exotic models for localized stable homotopy categories2015
- Author(s)
  鳥居　猛
- Organizer
  高知ホモトピー論談話会
- Place of Presentation
  高知大学
- Year and Date
  2015-12-26
- Data Source
  KAKENHI-PROJECT-25400092
[Presentation] Quasi-categories of comodules and Landweber exactness2015
- Author(s)
  鳥居　猛
- Organizer
  ホモトピー論シンポジウム
- Place of Presentation
  姫路・西はりま地場産業センター
- Year and Date
  2015-11-21
- Data Source
  KAKENHI-PROJECT-25400092
[Presentation] Quasi-categories of comodules and Landweber exactness2015
- Author(s)
  鳥居　猛
- Organizer
  The 6th East Aisan Conference on Algebraic Topology
- Place of Presentation
  National Institute of Mathematical Science, Daejeon, South Korea
- Year and Date
  2015-12-02
- Data Source
  KAKENHI-PROJECT-25400092
[Presentation] Morava E理論におけるべき作用素の比較2015
- Author(s)
  鳥居　猛
- Organizer
  京都大学数学教室談話会
- Place of Presentation
  京都大学
- Year and Date
  2015-12-16
- Data Source
  KAKENHI-PROJECT-25400092
[Presentation] Comparison of power operations in Morava E-theories2015
- Author(s)
  鳥居　猛
- Organizer
  福岡ホモトピー論セミナー
- Place of Presentation
  福岡大学
- Year and Date
  2015-01-11
- Data Source
  KAKENHI-PROJECT-25400092
[Presentation] Quasi-categories of comodules and Landweber exactness2015
- Author(s)
  鳥居　猛
- Organizer
  Bousfield classes form a set: a workshop in memory of Tetsusuke Ohkawa
- Place of Presentation
  名古屋大学
- Year and Date
  2015-08-28
- Data Source
  KAKENHI-PROJECT-25400092
[Presentation] Quasi-categories of comodules and Landweber exactness2015
- Author(s)
  鳥居　猛
- 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
- Year and Date
  2015-08-18
- Data Source
  KAKENHI-PROJECT-25400092
[Presentation] 局所安定ホモトピー圏の埋め込みについて2014
- Author(s)
  鳥居　猛
- Organizer
  福岡大学微分幾何研究会
- Place of Presentation
  福岡大学
- Year and Date
  2014-10-31
- Data Source
  KAKENHI-PROJECT-25400092
[Presentation] Twisted generalized cohomology theories2014
- Author(s)
  鳥居　猛
- Organizer
  高知ホモトピー論談話会
- Place of Presentation
  高知大学
- Year and Date
  2014-12-27
- Data Source
  KAKENHI-PROJECT-25400092
[Presentation] escent for structured modules2012
- Author(s)
  鳥居猛
- Organizer
  (非)可換代数とトポロジー
- Place of Presentation
  信州大学
- Data Source
  KAKENHI-PROJECT-22540087
[Presentation] 可換S代数のGalois拡大と加群の圏の埋め込みについて2012
- Author(s)
  鳥居猛
- Organizer
  ホモトピー論シンポジウム
- Place of Presentation
  山口大学
- Year and Date
  2012-11-03
- Data Source
  KAKENHI-PROJECT-22540087
[Presentation] Power operations and the generalized Chern character2011
- Author(s)
  Torii Takeshi
- Organizer
  第4回東アジア代数的トポロジー国際会議(EACAT4)
- Place of Presentation
  東京大学
- Year and Date
  2011-12-09
- Data Source
  KAKENHI-PROJECT-22540087
[Presentation] Power operations and the generalized Chern character2011
- Author(s)
  Torii Takeshi
- Organizer
  Structured Ring Spectra, Universitat Hamburg
- Place of Presentation
  Germany
- Year and Date
  2011-08-02
- Data Source
  KAKENHI-PROJECT-22540087
[Presentation] On a generalization of the Chern and the comparison of Morava E-theories2010
- Author(s)
  鳥居猛
- Organizer
  第5回代数・解析・幾何学セミナー
- Place of Presentation
  鹿児島
- Year and Date
  2010-02-17
- Data Source
  KAKENHI-PROJECT-19540087
[Presentation] Hecke operators in Morava E-theories and the generalized Chern character2009
- Author(s)
  鳥居猛
- Organizer
  ホモトピー論シンポジウム
- Place of Presentation
  姫路市
- Year and Date
  2009-11-01
- Data Source
  KAKENHI-PROJECT-19540087
[Presentation] HKR characters, p-divisible groups and the generalized Chern character2009
- Author(s)
  鳥居猛
- Organizer
  代数幾何とホモトピー論の新展開
- Place of Presentation
  東京
- Year and Date
  2009-11-05
- Data Source
  KAKENHI-PROJECT-19540087
[Presentation] Bousfield-Kan spectral sequence for computing E_\infty-maps2009
- Author(s)
  鳥居猛
- Organizer
  信州トポロジー小研究集会
- Place of Presentation
  松本
- Year and Date
  2009-03-17
- Data Source
  KAKENHI-PROJECT-19540087
[Presentation] Galois theory of commutative S-algebras and the generalized Chern character2008
- Author(s)
  鳥居猛
- Organizer
  日本数学会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-24
- Data Source
  KAKENHI-PROJECT-19540106
[Presentation] Galois theory of Commutative S-algebras and the generalized Chern character2008
- Author(s)
  鳥居猛
- Organizer
  日本数学会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-24
- Data Source
  KAKENHI-PROJECT-18740040
[Presentation] On K(1)-local topological modular forms
- Author(s)
  鳥居　猛
- Organizer
  SGAD2012 Geometrical perspective of topological modular forms
- Place of Presentation
  東京大学
- Data Source
  KAKENHI-PROJECT-22540087
[Presentation] Comparison of power operations in Morava E-theories
- Author(s)
  鳥居　猛
- Organizer
  the 5th East Asian Conference of Algebraic Topology
- Place of Presentation
  Chinese Academy of Sciences, Beijing, China
- Invited
- Data Source
  KAKENHI-PROJECT-25400092
[Presentation] 可換S代数のGalois拡大と加群の圏の埋め込みについて
- Author(s)
  鳥居　猛
- Organizer
  ホモトピー論シンポジウム
- Place of Presentation
  山口大学
- Data Source
  KAKENHI-PROJECT-22540087
[Presentation] Comparison of power operations in Morava E-theories
- Author(s)
  鳥居　猛
- Organizer
  Lloyd Roeling UL Lafayette Mathematics Conference
- Place of Presentation
  University of Louisiana at Lafayette, USA
- Invited
- Data Source
  KAKENHI-PROJECT-25400092

1. OKUYAMA Shingo (50290812)

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2. ODA Nobuyuki (80112283)

# of Collaborated Projects: 3 results

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3. ISHIGURO kenshi (00268971)

# of Collaborated Projects: 3 results

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4. KUROSE Takashi (30215107)

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5. Nakamoto Kazunori (30342570)

# of Collaborated Projects: 2 results

# of Collaborated Products: 6 results
6. 面田康裕 (30332042)

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7. NISHIDA Goro (00027377)

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8. KONO Akira (00093237)

# of Collaborated Projects: 1 results

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9. FUKAYA Kinji (30165261)

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10. NAKAJIMA Hiraku (00201666)

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11. MORIWAKI Atsushi (70191062)

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12. YOSHIDA Hiroyuki (40108973)

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13. WAKANO Isao (00263509)

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14. MINAMI Norihiko (80166090)

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15. SHIMAKAWA Kazuhisa (70109081)

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16. MIMURA Mamoru (70026772)

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17. IWASE Norio (60213287)

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18. HIRASHIMA Yasumasa (80047399)

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19. 中村博昭 (60217883)

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20. 鈴木武史 (30335294)

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21. 吉野雄二 (00135302)

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22. 山田裕史 (40192794)

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23. 松崎克彦 (80222298)

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24. 廣川真男 (70282788)

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25. 石川佳弘 (50294400)

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26. 中川征樹 (50370036)

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27. 西本哲 (80330520)

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TORII Takeshi 鳥居 猛

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トランス・クロマティック・ホモトピー論の研究Principal Investigator

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一般の安定ホモトピー論における余加群の研究Principal Investigator

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Research on the stable homotopy category using quasi-categoriesPrincipal Investigator

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Chromatic redshift and homotopical algebraic geometryPrincipal Investigator

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安定ホモトピー圏の大域的構造の研究Principal Investigator

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安定ホモトピー圏と形式群のモジュライPrincipal Investigator

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TORII Takeshi 鳥居猛