Ayako Itaba

Profile Information

Affiliation: Associate Professor, Institute of Arts and Sciences, Katsushika Division, Institute of Arts and Sciences, Tokyo University of Science

Degree: Doctor of Science, Ph.D.(Mar, 2015, Tokyo University of Science)

Contact information: itabars.tus.ac.jp
Researcher number: 10801178
ORCID iD: https://orcid.org/0000-0001-6365-6558
J-GLOBAL ID: 201801006990498950
researchmap Member ID: B000288941

External link: https://www.tus.ac.jp/ridai/doc/ji/RIJIA01Detail.php?act=&kin=ken&diu=5e8e&pri=en

Research Interests

Research Areas

Natural sciences / Algebra /

Research History

Apr, 2025 - Present

Associate Professor, Graduate School of Science, Department of Mathematics and Science Education, Tokyo University of Science
Apr, 2025 - Present

Associate Professor, Institute of Arts and Sciences Katsushika Division, Institute of Arts and Sciences, Tokyo University of Science
Apr, 2024 - Present

School of Nursing, St. Luke's International University
Apr, 2021 - Mar, 2025

Junior Associate Professor, Department of Mathematics, Graduate School of Science, Tokyo University of Science
Apr, 2021 - Mar, 2025

Junior Associate Professor, Institute of Arts and Sciences, Katsushika Division, Tokyo University of Science
Jan, 2023 - Jan, 2023

a part-time lecturer, Department of Science, Graduate School of Integrated Science and Technology, Shizuoka University
Apr, 2018 - Mar, 2021

Department of Mathematics, Graduate School of Science, Tokyo University of Science
Apr, 2017 - Mar, 2021

Assistant Professor, Faculty of Science, Division 1 Mathematics, Tokyo University of Science
Oct, 2015 - Mar, 2017

Lecturer (part-time), Faculty of Science, Shizuoka University
Apr, 2015 - Mar, 2017

Researcher (part-time), Faculty of Science Department of Mathematics, Shizuoka University

Education

Papers

Symmetric cohomology and symmetric Hochschild cohomology of cocommutative Hopf algebras

Y. Shiba, K. Sanada, A. Itaba

Journal of algebras and its applications,, to appear 1-24, May 15, 2023 Peer-reviewedCorresponding author
Quantum projective planes finite over their centers

Ayako Itaba, Izuru Mori

Canadian Mathematical Bulletin, 66(1) 53-67, Mar, 2023 Peer-reviewedLead authorCorresponding author
Hochschild cohomology related to graded down-up algebras with weights (1,n)

Ayako Itaba, Kenta Ueyama

Journal of Algebra and Its Applications, 20(07) 2150131-2150131, Jul, 2021 Peer-reviewedCorresponding author
AS-REGULARITY OF GEOMETRIC ALGEBRAS OF PLANE CUBIC CURVES

AYAKO ITABA, MASAKI MATSUNO

Journal of the Australian Mathematical Society, 1-25, Jun 22, 2021 Peer-reviewedCorresponding author
Defining relations of 3-dimensional quadratic AS-regular algebras

A. Itaba, M. Masaki

Mathematical Journal of Okayama University, 63 61-86, Jan, 2021 Peer-reviewedCorresponding author
Some infinitely generated non-projective modules over path algebras and their extensions under Martin's axiom

Ayako ITABA, Diego A. MEJÍA, Teruyuki YORIOKA

Journal of the Mathematical Society of Japan, 72(2) 413-433, Apr 1, 2020 Peer-reviewed
Finiteness Condition (Fg) for Self-Injective Koszul Algebras

Ayako Itaba

Algebras and Representation Theory, 22(2) 425-435, Apr, 2019 Peer-reviewedCorresponding author
3-dimensional quadratic Arthin-Schelter regular algebras and superpotentials

Ayako Itaba, Ryo Onozuka, James Eccels

Proceedings of the 50th Symposium on Ring Theory and Representation Theory, 36–41, Symp. Ring Theory Represent. Theory Organ. Comm., Tokyo, 2018., 62-69, Feb, 2018 Peer-reviewedCorresponding author
3-dimensional quadratic Artin-Schelter regular algebras and superpotentials

Ayako Itaba

Proceedings of the 49th Symposium on Ring Theory and Representation Theory, Symp. Ring Theory Represent. Theory Organ. Comm., Shimane, 2017., 36-41, Feb, 2017 Peer-reviewedCorresponding author
Finite condition (FG) for self-injective Koszul algebras

Ayako Itaba

Proceedings of the 48th Symposium on Ring Theory and Representation Theory, Symp. Ring Theory Represent. Theory Organ. Comm., Yamanashi, 2016., 40-44, Feb, 2016 Peer-reviewedCorresponding author
On Hochschild Cohomology of a Self-injective Special Biserial Algebra Obtained by a Circular Quiver with Double Arrows

Ayako Itaba

Communications in Algebra, 44(1) 404-415, Jan 2, 2016 Peer-reviewedCorresponding author
On the Decomposition of the Hochschild Cohomology Group of a Monomial Algebra Satisfying a Separability Condition

Ayako Itaba, Takahiko Furuya, Katsunori Sanada

Communications in Algebra, 43(6) 2282-2292, Jun 3, 2015 Peer-reviewedCorresponding author
On the decomposition of the Hochschild cohomology group of a monomial algebra satisfying a separability condition

Ayako Itaba, Takahiko Furuya, Katsunori Sanada

Proceedings of the 47th Symposium on Ring Theory and Representation Theory, Symp. Ring Theory Represent. Theory Organ. Comm., Okayama, 2015., 41-48, Feb, 2015 Peer-reviewedCorresponding author

Misc.

QUANTUM PROJECTIVE PLANES AND BEILINSON ALGEBRAS OF 3-DIMENSIONAL QUANTUM POLYNOMIAL ALGEBRAS FOR TYPE S’

Ayako Itaba

arXiv: 2304.02242, 1-18, Apr, 2023 Lead authorCorresponding author
Symmetric cohomology and symmetric Hochschild cohomology of cocommutative Hopf algebras

Proceedings of the 54th Symposium on Ring Theory and Representation Theory, Symp. Ring Theory Represent. Theory Organ. Comm., Tokyo, (2023), 40-45, Feb, 2023 Peer-reviewedCorresponding author
中心上有限生成な非可換射影平面の特徴付け

板場綾子

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, 17-25, Oct, 2022 Corresponding author
AS-regular algebras and Frobenius algebras

Ayako Itaba

Winter School on Koszul algebras and Koszuol duality, OCAMI Reports., 3 55-60, Jul 4, 2022 Peer-reviewedInvitedCorresponding author
Characterization of the quantum projective planes finite over their centers

Ayako Itaba, Izuru Mori

Proceedings of the 53rd Symposium on Ring Theory and Representation Theory, 110-115, Feb, 2022 Corresponding author
Down-up algebra の Beilinson algebra のホッホシルトコホモロジーについて

板場綾子

研究集会「第14回数論女性の集まり」 (早稲田大学) 報告集, 11-16, Oct, 2021 Corresponding author
Hochschild cohomology of Beilinson algebras of graded down-up algebras

Ayako Itaba and Kenta Ueyama

Proceedings of the 52nd Symposium on Ring Theory and Representation Theory, 29-34, Feb, 2020 Corresponding author
3次元quadratic AS 正則環のCalabi-Yau 性

板場綾子

研究集会「第12回数論女性の集まり」(東京理科大学) 報告集, Sep, 2019 Corresponding author
Graded Morita equivalence between Frobenius Koszul algebras and synmetric algebras

Ayako Itaba

May, 2019 Corresponding author
Twisted superpotentials for 3-dimensional quadratic AS-regular algebras

Ayako Itaba, Masaki Matsuno

arXiv:1905.02502, May, 2019 Corresponding author
The defining relations of geometric algebras of Type EC

Ayako Itaba and Masaki Matsuno

第51回環論および表現論シンポジウム (静岡大学) 報告集, 45-41, Feb, 2019
楕円曲線に対応する3次元quadratic AS 正則環

板場綾子

研究集会「第11回数論女性の集まり」(立教大学) 報告集, 9-17, Oct, 2018 Corresponding author
自己移入的Koszul 多元環に対する有限条件(Fg)

板場綾子

数理解析研究所講究録, 2061 32-38, Apr, 2018 Corresponding author
自己移入的Koszul 多元環に対する有限条件(Fg)

板場綾子

第61回代数学シンポジウム報告集, Feb, 2017 InvitedCorresponding author
On the decomposition of the Hochschild cohomology group of a monomial algebra satisfying a separability condition

Ayako Itaba

数理解析研究所講究録, 1967 44-52, Oct, 2015 Corresponding author
分離条件を満たすmonomial algebraのホッホシルトコホモロジー群の分解について

板場綾子, 古谷貴彦, 眞田克典

日本数学会2014年度秋季総合分科会代数学分科会講演アブストラクト, 77-78, Sep, 2014 Corresponding author

Presentations

Defining relations of 3-dimensional cubic AS-regular algebras whose point schemes are reducible

M. Matsuno, A. Itaba, Yu Saito

The 56th Symposium on Ring Theory and Representation Theory, (Tokyo Gakugei University), Sep 18, 2024
点スキームが可約である3次元3次AS正則環の分類

齋藤由宇, 松野仁樹, 板場綾子

日本数学会2024年度秋季総合分科会（大阪大学豊中キャンパス）, Sep 11, 2024
S型の3次元quadratic Calabi-Yau AS正則多元環の次数付きOre拡大

板場綾子

研究集会「第17回数論女性の集まり」(WINJ2024), Jun 1, 2024
S型の3次元2次Calabi-Yau AS正則多元環の次数付きOre拡大

松野仁樹, 板場綾子

2024年度日本数学会年会(大阪公立大学杉本キャンパス), Mar 19, 2024
Quantum projective planes finite over their centers and Beilinson algebras

Ayako Itaba

吴文俊数学重点实验室代数学系列报告之234, Dec 12, 2023, 中国科学技術大学数学科学院 Invited
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

板場綾子

日本数学会2023年度秋季総合分科会, Sep 23, 2023
Quantum projective planes and Beilinson algebras of 3-dimensional quantum polynomial algebras for Type S’

Ayako Itaba

The 55 th Symposium on Ring Theory and Representation Theory, Sep 7, 2023
中心上有限生成な非可換射影平面とBeilinson 多元環

板場綾子

野田代数幾何学シンポジウム 2023, Sep 4, 2023 Invited
Quantum projective planes finite over their centers and Beilinson algebras

Ayako Itaba

The ninth China-Japan-Korea International Conference on Ring and Module Theory, Aug 17, 2023 Invited
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

板場綾子

研究集会「第16回数論女性の集まり」(WINJ2023) (東京工業大学), Jun 12, 2023
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

板場綾子

研究集会「第16回数論女性の集まり」(WINJ2023), Jun 10, 2023
Symmetric cohomology and symmetric Hochschild cohomology of cocommutative Hopf algebras

Ayako Itaba, Yuta Shiba, Katsunori Sanada

The 54rd Symposium on Ring Theory and Representation Theory (2022), Sep 7, 2022
中心上有限生成な非可換射影平面の特徴づけ

板場綾子

研究集会「第15回数論女性の集まり」(WINJ2022), Jun 11, 2022
中心上有限生成な非可換射影平面の特徴づけ

板場綾子

研究集会「代数学の広がり」(東京理科大学), Mar 25, 2022 Invited
AS-regular algebras and Frobenius algebras

Ayako Itaba

Winter School on Koszul algebras and Koszul duality, Feb 19, 2022 Invited
Characterization of the quantum projective planes finite over their centers

Ayako Itaba, Izuru Mori

The 53rd Symposium on Ring Theory and Representation Theory, Sep 7, 2021
Down-up algebra のBeilinson algebra のホッホシルトコホモロジーについて

板場綾子

研究集会「第14回数論女性の集まり」(WINJ2021), Jun 12, 2021
Characterization of quantum projective planes finite over their centers

Ayako Itaba

May 13, 2021 Invited
Characterization of quantum projective planes finite over their centers

A. Itaba, I. Mori

Mar 15, 2021
Characterization of the quantum projective planes finite over their centers

Ayako Itaba

Nov 25, 2020 Invited

Teaching Experience

Apr, 2024 - Present

代数学講究3・4（板場研） (東京理科大学大学院理学研究科数学専攻修士2年)
Apr, 2024 - Present

文献研究3・4（板場研） (東京理科大学大学院理学研究科数学専攻修士2年)
Apr, 2024 - Present

数学 (聖路加国際大学看護学部)
Apr, 2023 - Present

Research in algebra 1, 2（ITABA） (Department of Mathematics, Graduate School of Science, Tokyo University of Science)
Apr, 2023 - Present

Seminar and Research in Mathematics 1, 2 （ITABA） (Department of Mathematics, Graduate School of Science, Tokyo University of Science)
Apr, 2023 - Present

Calculs A, B (Department of Applied Physics, Faculty of Science Division Ⅰ, Tokyo University of Science)
Apr, 2022 - Present

Senior Course of Seminar (ITABA) (Department of Mathematics, Faculty of Science Division Ⅰ, Tokyo University of Science)
Sep, 2021 - Present

Mathematics in Education (Department of Mathematics, Faculty of Science Division Ⅰ, Tokyo University of Science)
Apr, 2021 - Present

Calculs 1, 2 (Faculty of Advanced Engineering, Tokyo University of Science)
Apr, 2021 - Mar, 2023

Liberal Arts Seminar (Faculty of Engineering/Faculty of Advanced Engineering,Tokyo University of Science)
Jan, 2023 - Jan, 2023

Topics on Combinatorics (Shizuoka University)
Apr, 2021 - Mar, 2022

Advanced Algebra A, B (Department of Mathematics, Faculty of Science Division II, Tokyo University of Science)
Sep, 2018 - Mar, 2021

Study in Algebra (Department of Mathematics, Faculty of Science Division II, Tokyo University of Science)
Apr, 2018 - Mar, 2021

Junior Course of Seminar 1 (Department of Mathematics, Faculty of Science, Division I, Tokyo University of Science)
Apr, 2017 - Mar, 2021

Algebras 1, 2 exercises (Department of Mathematics, Faculty of Science Division I, Tokyo University of Science)
Apr, 2017 - Mar, 2021

Linear Algebras 1, 2 exercises (Department of Mathematics, Faculty of Science Division I, Tokyo University of Science)
Apr, 2017 - Mar, 2021

Senior Course of Seminar (SANADA) (Department of Mathematics, Faculty of Science Division I, Tokyo University of Science)
Apr, 2017 - Mar, 2018

Algebra (1) (Department of Mathematics, Faculty of Science Division II, Tokyo University of Science)
Apr, 2016 - Mar, 2017

Linear Algebras Exercises I, II (Department of Mathematics, Faculty of Science, Shizuoka University)
Oct, 2015 - Mar, 2017

Mathematics IV (Linear Lagebras B) (Faculty of Science, Shizuoka University)

Professional Memberships

Nov, 2013 - Present

The Mathematical Society of Japan

Research Projects

Study of Koszul AS-regular algebras in Non-commutative algebraic geometry and Hochschild cohomology theory

Apr, 2024 - Mar, 2029

Ayako Itaba
Research on Koszul AS-regular algebras from the categorical view of Non-commutative algebraic geometry and Representation theory

Grant-in-Aid for Early-Career Scientists, Grant-in-Aid for Early-Career Scientists, Japan Society for the Promotion of Science, Apr, 2021 - Mar, 2024

Ayako Itaba
Koszul AS-regular algebras in terms of Non-commutative algebraic geometry and Representation theory

Grants-in-Aid for Scientific Research Grant-in-Aid for Early-Career Scientists, Grant-in-Aid for Early-Career Scientists, Japan Society for the Promotion of Science, Apr, 2018 - Mar, 2021

Profile Information

Research Interests

Research Areas

Research History

Education

Papers

Misc.

Presentations

Teaching Experience

Professional Memberships

Research Projects

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