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KAWASAKI Takeshi  川崎 健

ORCIDConnect your ORCID iD *help
Researcher Number 40301410
Other IDs
Affiliation (Current) 2022: 東京都立大学, 理学研究科, 助教
Affiliation (based on the past Project Information) *help 2009 – 2012: Tokyo Metropolitan University, 理工学研究科, 助教
2008: 首都大学東京, 都市教養学部, 助手
2007: 首都大学, 東京・都市教養学部, 助手
2006: Tokyo Metropolitan University, Department of Mathematics and Information Science, assistant professor, 大学院理工学研究科, 助手
2005 – 2006: 首都大学東京, 都市教養学部, 助手 … More
2005: 首都大学東京, 都市教養学部理工学系, 助手
2001 – 2004: 東京都立大学, 大学院・理学研究科, 助手
2000 – 2004: 東京都立大学, 理学研究科, 助手
2001: Graduate School of Science, Tokyo Metropolitan University Assistant Professor, 理学(系)研究科(研究院), 助手
1999 – 2000: (Tokyo Metropolitan University, Department of Mathematics, Assistant), 理学部数学科, 助手
1999: Tokyo Metropolitan University, Department of Mathematics, Associate Professor, 大学院・理学研究科, 助手
1998 – 1999: 東京都立大学, 理学部・数学科, 助手
1998: 東京都立大学, 理学研究科, 助手 Less
Review Section/Research Field
Principal Investigator
Algebra / Algebra
Except Principal Investigator
Algebra / Algebra
Keywords
Principal Investigator
Cohen-Macaulay環 / Cousin複体 / 正準加群 / Cousin complex / 正準現予想 / 改良新交差予想 / 単項式予想 / 直和因子予想 / シジジー予想 / 正準元予想 … More / 整閉包 / Artin-Rees定理 / ホモロジカル予想 / Briancon-Skoda定理 / エクセレント環 / Rees代数 / 双対比複体 / Rees環 / blowing-up / Cohen-Macaulay化 / 双対化複体 / cousin複体 / スタンダード・パラメーター系 / Noether環 / 特異点解消 / Cohen-Macaulay ring / excellent ring / Rees algebra / dualzing complex / 優秀環 / 零化域定理 / Briancon-Skodaの定理 / 局所コホモロジー / コーエン・マコーレー環 / excellent rings / Cohen-Macaulay rings / canonical module / annihilator theorem … More
Except Principal Investigator
USD列 / I-invariant / Macaulay化 / TNT / ガロア群 / ガロア表現 / 外ガロア表現 / 写像類群 / 数論的基本群 / タイヒミュラーモジュラー群 / Galois representation / Grothendieck-Teichmuller group / Buchsbaum環 / 随伴次数付き環 / Rees環 / 特異点改良問題 / 算術的Macaulay化 / USD-sequence / Buchsbaum ring / associated graded ring / Rees algebra / Improvement of singularity / Arithmetic Macaulayfication / チャウ群 / 局所環 / リーマン・ロッホ / Grothendieck group / Chow group / Equi-I-invariant case / 川崎理論 / 拡大随伴次数加群 / Buchsbaum性 / FLC性 / Hilbert係数 / Sally加群 / 列性質 / P-standard列 / dd-列 / Northcottの不等式 / 成田の正定値性定理 / 整数論 / コンピュータ / アルゴリズム / ソフト / データ / ネットワーク / メイリングリスト / number theory / computer / algorithm / software / database / network / mailing list / 基本群 / 遠アーベル幾何学 / グロタンディーク・タイヒミュラー群 / 楕円曲線 / Galois Group / fundamental group / anabelian geometry / exterior Galois representation / mapping class group / arithemtic fundamental group / Blowing-up / Grothendieck群 / Ideal整閉包 / Cohen-Macaulayfication / 超平面配置 / 超幾何積分 / 局所系コホモロジー / 鏡映群 / ガウス・マニン接続 / KZ方程式 / 対数的極 / 組合せ同値 / hyperplane arrangement / hyper geometric integral / local system cohomology / reflection group / リーマン・ロッホ公式 / グロタンディェク群 / トッド類 / アダムス作用素 / Serre予想 / Roberts環 / Dutta重複度 / Riemann-Roch formula / local rings / Todd classes / Adams operation / タメガロア表現 / 遠アーベル幾何 / タイフシュラーモジュラー群 / グロタンディーク・タイヒシュラー群 / タイヒシュラーモジュラー群 / グロタンディークタイヒシュラー群 / Galois group / Exterior Galois representation / Anabelian Geometry / Mapping Class Group / Teichmuller modular group / Arithmetic Fundamental Group / 極小重複度 / 拡大Rees環 / 1次元 / 漸近的性質 / Fiber cone / minimal multiplicity / 岩澤理論 / 岩澤主予想 / 岩澤加群 / イデアル類群 / Fittingイデアル / Stickelbergerイデアル / Iwasawa theory / Iwasawa main conjecture / Iwasawa module / ideal class group / Fitting ideal / チャウ郡 / グロタンディェク郡 / 数値的同値 / スタンダード予想 / 全座標間 / Cox環 / ヒルベルト・クンツ関数 / デターミナント射 / 特異リーマン・ロッホ / グロタンディエク群 / グロタンデイェク群 / 全座標環 / リース環 / 因子類群 / 素元分解環 / クルル環 / numerical equivalence / standard conjectures / total coordinate ring / Cox ring / Hilbert-Kunz function / Riemann-Roch Less
  • Research Projects

    (13 results)
  • Research Products

    (7 results)
  • Co-Researchers

    (24 People)
  •  Research on integral closure and related topicsPrincipal Investigator

    • Principal Investigator
      KAWASAKI Takesi
    • Project Period (FY)
      2009 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  Clarifying the basic theory of USD-sequences and their applications to the Kawasaki's theory of Macaulayfications

    • Principal Investigator
      YAMAGISHI Kikumichi
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Himeji Dokkyo University
  •  Study of excellent rings and its neighborhoodPrincipal Investigator

    • Principal Investigator
      KAWASAKI Takesi
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  Numerical equivalence on Chow groups of local rings and its applications

    • Principal Investigator
      KURANO Kazuhiko
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Meiji University
  •  Refinement of Iwasawa theory and its applications

    • Principal Investigator
      KURIHARA Masato
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  Study of blowing-aps.Principal Investigator

    • Principal Investigator
      KAWASAKI Takeshi
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  Research on Dutta multiplicity and Roberts ring

    • Principal Investigator
      KURANO Kazuhiko
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  Arithmetic Study of Interactions of Galois groups and anabelian geometry

    • Principal Investigator
      NAKAMURA Hiroyuki
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  The basic theory of USD-sequences and the ring theoretical structure of Rees algebras

    • Principal Investigator
      YAMAGISHI Kikumichi
    • Project Period (FY)
      2000 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Himeji Dokkyo University
  •  Research on arrangements of hyperplanes

    • Principal Investigator
      TERAO Hiroaki
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan Univ.
  •  Data Computation and Software Development in Number Theory by Computers

    • Principal Investigator
      NAKAMULA Ken
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  Exterior Galois representations in fundamental groups and associated arithmetic phenomena

    • Principal Investigator
      NAKAMURA Hiroaki
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  Basic researchs on USD-sequences and its applications to improvements of singularities

    • Principal Investigator
      YAMAGISHI Kikumichi
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Himeji Dokkyo University

All 2008 2006 2005 2002

All Journal Article Presentation

  • [Journal Article] Finiteness of Cousin cohomologies, Trans. Amer.2008

    • Author(s)
      川崎健
    • Journal Title

      Math. Soc. vol.360, no.5

      Pages: 2709-2739

    • Data Source
      KAKENHI-PROJECT-17540051
  • [Journal Article] On Faltings' annihilator theorem, Proc. Amer.2008

    • Author(s)
      川崎健
    • Journal Title

      Math. Soc. vol.136, no.4

      Pages: 1205-1211

    • Data Source
      KAKENHI-PROJECT-17540051
  • [Journal Article] On arithmetic Macaulayfication of Noetherian rings2002

    • Author(s)
      Takeshi Kawasaki
    • Journal Title

      Transactions of the American Mathematical Society 354

      Pages: 123-149

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340016
  • [Presentation] Faltingsの零化域定理について2006

    • Author(s)
      川崎健
    • Organizer
      第18回可換環論セミナー
    • Place of Presentation
      北海道立道民活動センター かでる2・7(札幌市),
    • Year and Date
      2006-01-31
    • Data Source
      KAKENHI-PROJECT-17540051
  • [Presentation] On Faltings' annihilator Theorem2006

    • Author(s)
      川崎健
    • Organizer
      The 2nd Japan-Vietnam Joint Seminar on Commutative Algebra
    • Place of Presentation
      明治大学生田校舎(川崎市)
    • Year and Date
      2006-03-24
    • Data Source
      KAKENHI-PROJECT-17540051
  • [Presentation] The Annihilator Theorem of Faltings with uniform property in the sense of Raghavan2006

    • Author(s)
      川崎健
    • Organizer
      Commutative Algebra and its Interactions with Algebraic Geometry
    • Place of Presentation
      Luminy/France
    • Year and Date
      2006-05-25
    • Data Source
      KAKENHI-PROJECT-17540051
  • [Presentation] On Faltings' annihilator theorem2005

    • Author(s)
      川崎健
    • Organizer
      第27回可換環論シンポジウム
    • Place of Presentation
      インテック大山研修センター(富山市)
    • Year and Date
      2005-11-15
    • Data Source
      KAKENHI-PROJECT-17540051
  • 1.  TERAO Hiroaki (90119058)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 2.  TAKEDA Yuichirou (30264584)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 3.  KURANO Kazuhiko (90205188)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 4.  YAMAGISHI Kikumichi (10200601)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 5.  NAKAMULA Ken (80110849)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 6.  NAKAMURA Hiroaki (60217883)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 7.  KURATA Toshihiko (40311899)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 8.  KURIHARA Masato (40211221)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 9.  MIYAKE Katsuya (20023632)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  MIYAZAKI Takuya (10301409)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  NISHIDA Koji (60228187)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  KAMOI Yuji (80308064)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  岡崎 龍太郎 (20268113)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  TODA Hiroshi (60025236)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  TOKUNAGA Hiroo (30211395)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  OKA Mutsuo (40011697)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  NAKASHIMA Tooru (20244410)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  山田 裕史 (40192794)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  ITO Yukari (70285089)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  MATSUNO Kazuo (40332936)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  GOTO Shiro (50060091)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  NAKAMURA Yukio (00308066)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  HAYASAKA Futoshi (20409460)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  SAKURAI Hideto (00409450)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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