• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

ITABA Ayako  板場 綾子

… Alternative Names

Itaba Ayako  板場 綾子

Less
Researcher Number 10801178
Other IDs
  • ORCIDhttps://orcid.org/0000-0001-6365-6558
Affiliation (Current) 2025: 東京理科大学, 教養教育研究院葛飾キャンパス教養部, 准教授
Affiliation (based on the past Project Information) *help 2021 – 2024: 東京理科大学, 教養教育研究院葛飾キャンパス教養部, 講師
2018 – 2020: 東京理科大学, 理学部第一部数学科, 助教
Review Section/Research Field
Principal Investigator
Basic Section 11010:Algebra-related
Keywords
Principal Investigator
非可換射影スキーム / コシュール多元環 / AS 正則環 / オーレ拡大 / ホッホシルトコホモロジー / AR クイバー / Beilinson 多元環 / Calabi-Yau 多元環 / Auslander-Reiten クイバー / Hochschild コホモロジー環 … More / 非可換射影平面 / AS-regular 代数 / フロベニウス多元環 / コシュール AS-regular 代数 / 多元環の表現論 / 非可換代数幾何学 / Koszul 多元環 / 幾何的代数 / 次数付き森田同値 / フロべニウス多元環 / 射影空間 / AS正則環 / コシュール Less
  • Research Projects

    (3 results)
  • Research Products

    (47 results)
  •  Study of Koszul AS-regular algebras in Non-commutative algebraic geometry and Hochschild cohomology theoryPrincipal Investigator

    • Principal Investigator
      板場 綾子
    • Project Period (FY)
      2024 – 2028
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Tokyo University of Science
  •  Research on Koszul AS-regular algebras from the categorical view of Non-commutative algebraic geometry and Representation theoryPrincipal Investigator

    • Principal Investigator
      板場 綾子
    • Project Period (FY)
      2021 – 2024
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Tokyo University of Science
  •  Koszul AS-regular algebras in terms of Non-commutative algebraic geometry and Representation theoryPrincipal Investigator

    • Principal Investigator
      Itaba Ayako
    • Project Period (FY)
      2018 – 2022
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Tokyo University of Science

All 2024 2023 2022 2021 2020 2019 2018

All Journal Article Presentation

  • [Journal Article] Quantum projective planes and Beilinson algebras of 3-dimensional quantum polynomial algebras for Type S'2023

    • Author(s)
      10.A. Itaba
    • Journal Title

      arXiv

      Volume: なし Pages: 1-18

    • Data Source
      KAKENHI-PROJECT-21K13781
  • [Journal Article] Type S’ に対する非可換射影平面とquantum polynomial algebra のBeilinson 多元環について2023

    • Author(s)
      板場綾子
    • Journal Title

      研究集会「第16回数論女性の集まり (WINJ2023)」 (東京工業大学) 報告集

      Volume: 1 Pages: 17-23

    • Data Source
      KAKENHI-PROJECT-21K13781
  • [Journal Article] Characterization of the quantum projective planes finite over their centers2022

    • Author(s)
      Itaba Ayako、Mori Izuru
    • Journal Title

      Proceedings of the 53rd Symposium on Ring Theory and Representation Theory, Symp. Ring Theory Represent. Theory Organ. Comm., Osaka, 2022.

      Volume: なし Pages: 110-115

    • Data Source
      KAKENHI-PROJECT-21K13781
  • [Journal Article] Quantum projective planes finite over their centers2022

    • Author(s)
      Itaba Ayako、Mori Izuru
    • Journal Title

      Canadian Mathematical Bulletin

      Volume: online Issue: 1 Pages: 1-15

    • DOI

      10.4153/s0008439522000017

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-21K13781, KAKENHI-PROJECT-20K03510
  • [Journal Article] 中心上有限生成な非可換射影平面の特徴付け2022

    • Author(s)
      板場綾子
    • Journal Title

      研究集会「第15回数論女性の集まり (WINJ2022)」 (東京工業大学) 報告集

      Volume: なし Pages: 17-25

    • Data Source
      KAKENHI-PROJECT-21K13781
  • [Journal Article] Winter School on Koszul Algebra and Koszul Duality2022

    • Author(s)
      Ayako Itaba
    • Journal Title

      Winter School on Koszul algebras and Koszul duality, OCAMI Reports

      Volume: 3 Pages: ii-156

    • URL

      https://ocu-omu.repo.nii.ac.jp/records/2020731

    • Language
      English
    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-21K13781
  • [Journal Article] AS-regularity of geometric algebras of plane cubic curves2021

    • Author(s)
      Itaba Ayako、Masaki Matsuno
    • Journal Title

      Journal of the Australian Mathematical Society

      Volume: to appear

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K13397
  • [Journal Article] AS-REGULARITY OF GEOMETRIC ALGEBRAS OF PLANE CUBIC CURVES2021

    • Author(s)
      ITABA AYAKO、MATSUNO MASAKI
    • Journal Title

      Journal of the Australian Mathematical Society

      Volume: 112 Issue: 2 Pages: 193-217

    • DOI

      10.1017/s1446788721000070

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-18K13397
  • [Journal Article] Down-up algebra の Beilinson algebra のホッホシルトコホモロジーについて2021

    • Author(s)
      板場綾子
    • Journal Title

      研究集会「第14回数論女性の集まり」 (早稲田大学) 報告集

      Volume: なし Pages: 11-16

    • Data Source
      KAKENHI-PROJECT-21K13781
  • [Journal Article] Hochschild cohomology related to graded down-up algebras with weights (1,n)2020

    • Author(s)
      Ayako Itaba and Kenta Ueyama
    • Journal Title

      Journal of algebras and its applications

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K13397
  • [Journal Article] Hochschild cohomology of Beilinson algebras of graded down-up algebras2020

    • Author(s)
      Ayako Itaba and Kenta Ueyama
    • Journal Title

      Proceedings of the 52nd Symposium on Ring Theory and Representation Theory,

      Volume: - Pages: 29-34

    • Data Source
      KAKENHI-PROJECT-18K13397
  • [Journal Article] Hochschild cohomology related to graded down-up algebras with weights (1,n)2020

    • Author(s)
      Itaba Ayako、Ueyama Kenta
    • Journal Title

      Journal of Algebra and Its Applications

      Volume: online first Issue: 07 Pages: 2150131-2150131

    • DOI

      10.1142/s0219498821501310

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K13397, KAKENHI-PROJECT-18K13381
  • [Journal Article] Quantum Projective Planes Finite over their Centers2020

    • Author(s)
      Itaba Ayako、Izuru Mori
    • Journal Title

      arXiv:2010.13093

      Volume: arXive

    • Data Source
      KAKENHI-PROJECT-18K13397
  • [Journal Article] The defining relations of geometric algebras of Type EC2019

    • Author(s)
      Ayako Itaba and Masaki Matsuno
    • Journal Title

      第51回環論および表現論シンポジウム (静岡大学) 報告集

      Volume: -

    • Open Access
    • Data Source
      KAKENHI-PROJECT-18K13397
  • [Journal Article] 3次元quadratic AS 正則環のCalabi-Yau 性2019

    • Author(s)
      板場綾子
    • Journal Title

      研究集会「第12回数論女性の集まり」報告集

      Volume: -

    • Data Source
      KAKENHI-PROJECT-18K13397
  • [Journal Article] Frobenius Koszul 多元環と対称多元環の次数付き森田同値2019

    • Author(s)
      板場綾子
    • Journal Title

      RIMS研究集会「有限群とコホモロジー論とその周辺」京都大学数理解析所講究録

      Volume: -

    • Data Source
      KAKENHI-PROJECT-18K13397
  • [Journal Article] The defining relations of 3-dimensional quadratic AS-regular algebras2019

    • Author(s)
      Ayako Itaba and Masaki Matsuno
    • Journal Title

      Mathematical Journal of Okayama University

      Volume: 印刷中

    • NAID

      120006900778

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K13397
  • [Journal Article] AS-regularity of geometric algebras of plane cubic curves2019

    • Author(s)
      Ayako Itaba and Masaki Matsuno
    • Journal Title

      arXiv:1905.02502

      Volume: 投稿中

    • Data Source
      KAKENHI-PROJECT-18K13397
  • [Journal Article] Defining relations of 3-dimensional quadratic AS-regular algebras2018

    • Author(s)
      Ayako Itaba and Masaki Matsuno
    • Journal Title

      arXiv:1806.04940

      Volume: -

    • NAID

      120006900778

    • Open Access
    • Data Source
      KAKENHI-PROJECT-18K13397
  • [Journal Article] 自己移入的Koszul 多元環に対する有限条件(Fg)2018

    • Author(s)
      板場綾子
    • Journal Title

      研究集会「有限群とコホモロジー論とその周辺」京都大学数理解析所講究録

      Volume: 2061

    • Open Access
    • Data Source
      KAKENHI-PROJECT-18K13397
  • [Journal Article] 楕円曲線に対応する3次元quadratic AS 正則環2018

    • Author(s)
      板場綾子
    • Journal Title

      研究集会「第11回数論女性の集まり」(立教大学) 報告集

      Volume: -

    • Data Source
      KAKENHI-PROJECT-18K13397
  • [Presentation] S型の3次元2次Calabi-Yau AS正則多元環の次数付きOre拡大2024

    • Author(s)
      松野仁樹,板場綾子
    • Organizer
      2024年度日本数学会年会(大阪公立大学杉本キャンパス)
    • Data Source
      KAKENHI-PROJECT-21K13781
  • [Presentation] Quantum projective planes finite over their centers and Beilinson algebras2023

    • Author(s)
      Ayako Itaba
    • Organizer
      中国科学技術大学数学科学研究院(呉文俊数学重点実験室代数学系列報告之234)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K13781
  • [Presentation] Quantum projective planes and Beilinson algebras of 3-dimensional quantum polynomial algebras for Type S2023

    • Author(s)
      Ayako Itaba
    • Organizer
      The 55th Symposium on Ring Theory and Representation Theory, (Osaka Metropolitan University)
    • Data Source
      KAKENHI-PROJECT-21K13781
  • [Presentation] 中心上有限生成な非可換射影平面とBeilinson 多元環2023

    • Author(s)
      板場綾子
    • Organizer
      中心上有限生成な非可換射影平面とBeilinson 多元環, 野田代数幾何学シンポジウム 2023. (東京理科大学野田キャンパス)
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K13781
  • [Presentation] Type S’ に対する非可換射影平面と quantum polynomial algebra の Beilinson 多元環 について2023

    • Author(s)
      板場綾子
    • Organizer
      研究集会「第16回数論女性の集まり」(WINJ2023) (東京工業大学)
    • Data Source
      KAKENHI-PROJECT-21K13781
  • [Presentation] 非可換射影平面と Type S’ に対する3次元 quantum polynomial algebra の Beilinson 多元環2023

    • Author(s)
      板場綾子
    • Organizer
      日本数学会2023年度秋季総合分科会 (東北大学川内北キャンパス)
    • Data Source
      KAKENHI-PROJECT-21K13781
  • [Presentation] Quantum projective planes finite over their centers and Beilinson algebras2023

    • Author(s)
      Ayako Itaba
    • Organizer
      The ninth China-Japan-Korea International Conference on Ring and Module Theory (Incheon National University, Republic of Korea)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K13781
  • [Presentation] 中心上有限生成な非可換射影平面の特徴づけ2022

    • Author(s)
      板場綾子
    • Organizer
      研究集会「第15回数論女性の集まり」(WINJ2022) (東京工業大学)
    • Data Source
      KAKENHI-PROJECT-21K13781
  • [Presentation] 中心上有限生成な非可換射影平面の特徴づけ2022

    • Author(s)
      板場綾子
    • Organizer
      研究集会「代数学の広がり」(東京理科大学)
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K13781
  • [Presentation] AS-regular algebras and Frobenius algebras2022

    • Author(s)
      Ayako Itaba
    • Organizer
      Winter School on Koszul algebras and Koszul duality, 大阪市立大学杉本キャンパス
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K13781
  • [Presentation] Down-up algebra のBeilinson algebra のホッホシルトコホモロジーについて2021

    • Author(s)
      板場綾子
    • Organizer
      研究集会「第14回数論女性の集まり」(WINJ2021) (早稲田大学)
    • Data Source
      KAKENHI-PROJECT-21K13781
  • [Presentation] 中心上有限生成な非可換射影平面の特徴づけ2021

    • Author(s)
      板場綾子
    • Organizer
      神楽坂代数セミナー(東京理科大学)
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K13781
  • [Presentation] 中心上有限生成な非可換射影平面の特徴づけ2021

    • Author(s)
      41.板場綾子, 毛利出
    • Organizer
      2021年度日本数学会年会(慶應義塾大学)
    • Data Source
      KAKENHI-PROJECT-18K13397
  • [Presentation] Characterization of the quantum projective planes finite over their centers2021

    • Author(s)
      Itaba Ayako、Mori Izuru
    • Organizer
      The 53rd Symposium on Ring Theory and Representation Theory (Yamaguchi University)
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K13781
  • [Presentation] Characterization of quantum projective planes finite over their centers2020

    • Author(s)
      Ayako Itaba
    • Organizer
      OCAMI代数セミナー(大阪市立大学)zoom
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K13397
  • [Presentation] 3次元quadratic AS 正則環に付随する非可換射影ス キームの中心上有限生成について2020

    • Author(s)
      板場綾子
    • Organizer
      日本数学会2019年度年会(日本大学)
    • Data Source
      KAKENHI-PROJECT-18K13397
  • [Presentation] Frobenius Koszul 多元環と対称多元環の次数付き森田同値2019

    • Author(s)
      板場綾子
    • Organizer
      RIMS研究集会「有限群とコホモロジー論とその周辺」(京都大学数理解析所)
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K13397
  • [Presentation] 3次元 quadratic AS 正則環のCalabi-Yau 性2019

    • Author(s)
      板場綾子
    • Organizer
      研究集会「第12回数論女性の集まり」(東京理科大学)
    • Data Source
      KAKENHI-PROJECT-18K13397
  • [Presentation] Hochschild cohomology of Beilinson algebras of graded down-up algebras2019

    • Author(s)
      Ayako Itaba and Kenta Ueyama
    • Organizer
      The Eighth China-Japan-Korea International Symposium on Ring Theory (Nagoya University, Japan)
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13397
  • [Presentation] Down-up algebra のBeilinson algebra のホッホシルトコホモロジーについて2019

    • Author(s)
      板場綾子, 上山健太
    • Organizer
      日本数学会2019年度秋季総合分科会(金沢大学)
    • Data Source
      KAKENHI-PROJECT-18K13397
  • [Presentation] 楕円曲線に対応する幾何的代数のAS正則性2019

    • Author(s)
      板場綾子, 松野仁樹
    • Organizer
      日本数学会2019年度年会(東京工業大学)
    • Data Source
      KAKENHI-PROJECT-18K13397
  • [Presentation] 楕円曲線に対応する3次元 quadratic AS 正則環2018

    • Author(s)
      板場綾子
    • Organizer
      研究集会「第11回数論女性の会」(立教大学)
    • Data Source
      KAKENHI-PROJECT-18K13397
  • [Presentation] The defining relations of geometric algebras of Type EC2018

    • Author(s)
      Ayako Itaba and Masaki Matsuno
    • Organizer
      第51回環論および表現論シンポジウム(岡山理科大学)
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13397
  • [Presentation] 点スキームが楕円曲線である幾何的代数の代数同型および森田同値を除く分類について2018

    • Author(s)
      板場綾子, 松野仁樹
    • Organizer
      日本数学会2018年度秋季総合分科会(岡山大学)
    • Data Source
      KAKENHI-PROJECT-18K13397
  • [Presentation] 3次元quadratic AS 正則環と幾何的代数の分類2018

    • Author(s)
      板場綾子
    • Organizer
      野田代数セミナー(東京理科大学)
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K13397
  • [Presentation] Defining relations of 3-dimensional quadratic AS-regular algebras and Calabi-Yau algebras2018

    • Author(s)
      Ayako Itaba
    • Organizer
      ICRA2018, (プラハ, Charles University)
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13397

URL: 

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi