Updated on 2026/04/04

写真a

 
TSUKAMOTO Mayu
 
Organization
Graduate School of Mathematics Division of Mathematics Natural Mathematics Associate Professor
Undergraduate School
School of Science Department of Mathematics
Title
Associate Professor

Degree 1

  1. Doctor of Science （ 2018.6   Osaka City University ） 

To the head of Degree.▲

Research Interests 1

  1. Representation Theory of Algebras

To the head of Research Interests.▲

Research Areas 1

  1. Natural Science / Algebra

To the head of Research Areas.▲

Professional Memberships 1

  1. THE MATHEMATICAL SOCIETY OF JAPAN

To the head of Professional Memberships.▲
 

Papers 10

  1. An assortment of properties of silting subcategories of extriangulated categories Reviewed

    Takahide Adachi, Mayu Tsukamoto

    Bulletin des Sciences Mathématiques   Vol. 203 ( 103647 ) page： 1 - 44   2025.8

    　More details

    Authorship：Corresponding author   Publishing type：Research paper (scientific journal)   Publisher：Elsevier BV  

    DOI： 10.1016/j.bulsci.2025.103647

  2. Quasi-hereditary rings are closed under taking block extensions Reviewed International journal

    Takahide Adachi, Mayu Tsukamoto

    Linear Algebra and its Applications   Vol. 692   page： 24 - 36   2024.7

    　More details

    Authorship：Corresponding author   Publishing type：Research paper (scientific journal)   Publisher：Elsevier BV  

    DOI： 10.1016/j.laa.2024.03.034

  3. Mixed standardization and Ringel duality Reviewed International journal

    Takahide Adachi, Mayu Tsukamoto

    Journal of Algebra   Vol. 641   page： 546 - 586   2024.3

    　More details

    Authorship：Corresponding author   Publishing type：Research paper (scientific journal)   Publisher：Elsevier BV  

    DOI： 10.1016/j.jalgebra.2023.11.032

  4. Intervals of s-torsion pairs in extriangulated categories with negative first extensions Reviewed International journal

    Takahide Adachi, Haruhisa Enomoto, Mayu Tsukamoto

    Mathematical Proceedings of the Cambridge Philosophical Society   Vol. 174 ( 3 ) page： 451 - 469   2023.5

    　More details

    Authorship：Corresponding author   Publishing type：Research paper (scientific journal)   Publisher：Cambridge University Press (CUP)  

    Abstract

    As a general framework for the studies of t-structures on triangulated categories and torsion pairs in abelian categories, we introduce the notions of extriangulated categories with negative first extensions and s-torsion pairs. We define a heart of an interval in the poset of s-torsion pairs, which naturally becomes an extriangulated category with a negative first extension. This notion generalises hearts of t-structures on triangulated categories and hearts of twin torsion pairs in abelian categories. In this paper, we show that an interval in the poset of s-torsion pairs is bijectively associated with s-torsion pairs in the corresponding heart. This bijection unifies two well-known bijections: one is the bijection induced by the HRS-tilt of t-structures on triangulated categories. The other is Asai–Pfeifer’s and Tattar’s bijections for torsion pairs in an abelian category, which is related to $\tau$-tilting reduction and brick labelling.

    DOI： 10.1017/S0305004122000354

  5. Characterizations of right rejective chains Reviewed International journal

    Mayu Tsukamoto

    Canadian Mathematical Bulletin   Vol. 65 ( 3 ) page： 557 - 570   2022.9

    　More details

    Authorship：Corresponding author   Publishing type：Research paper (scientific journal)   Publisher：Canadian Mathematical Society  

    DOI： 10.4153/s0008439521000540

  6. Hereditary cotorsion pairs and silting subcategories in extriangulated categories Reviewed International journal

    Takahide Adachi, Mayu Tsukamoto

    Journal of Algebra   Vol. 594   page： 109 - 137   2022.3

    　More details

    Authorship：Corresponding author   Publishing type：Research paper (scientific journal)   Publisher：Elsevier BV  

    DOI： 10.1016/j.jalgebra.2021.11.029

  7. Tilting modules and dominant dimension with respect to injective modules Reviewed International journal Open Access

    Takahide Adachi, Mayu Tsukamoto

    The Quarterly Journal of Mathematics   Vol. 72 ( 3 ) page： 855 - 884   2021.9

    　More details

    Authorship：Corresponding author   Publishing type：Research paper (scientific journal)   Publisher：Oxford University Press (OUP)  

    <title>Abstract</title>
    In this paper, we study a relationship between tilting modules with finite projective dimension and dominant dimension with respect to injective modules as a generalization of results of Crawley-Boevey–Sauter, Nguyen–Reiten–Todorov–Zhu and Pressland–Sauter. Moreover, we give characterizations of almost n-Auslander–Gorenstein algebras and almost n-Auslander algebras by the existence of tilting modules. As an application, we describe a sufficient condition for almost 1-Auslander algebras to be strongly quasi-hereditary by comparing such tilting modules and characteristic tilting modules.

    DOI： 10.1093/qmath/haaa050

  8. Strongly quasi-hereditary algebras and rejective subcategories Reviewed International journal Open Access

    Mayu Tsukamoto

    Nagoya Mathematical Journal   Vol. 237   page： 10 - 38   2020.3

    　More details

    Authorship：Corresponding author   Publishing type：Research paper (scientific journal)   Publisher：Cambridge University Press (CUP)  

    Ringel’s right-strongly quasi-hereditary algebras are a distinguished class of quasi-hereditary algebras of Cline–Parshall–Scott. We give characterizations of these algebras in terms of heredity chains and right rejective subcategories. We prove that any artin algebra of global dimension at most two is right-strongly quasi-hereditary. Moreover we show that the Auslander algebra of a representation-finite algebra <inline-formula><alternatives><inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:type="simple" xlink:href="S0027763018000090_inline1" /><tex-math>$A$</tex-math></alternatives></inline-formula> is strongly quasi-hereditary if and only if <inline-formula><alternatives><inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:type="simple" xlink:href="S0027763018000090_inline2" /><tex-math>$A$</tex-math></alternatives></inline-formula> is a Nakayama algebra.

    DOI： 10.1017/nmj.2018.9

  9. On an upper bound for the global dimension of Auslander--Dlab--Ringel algebras Reviewed International journal

    Mayu Tsukamoto

    Archiv der Mathematik (Basel)   Vol. 112 ( 1 ) page： 41 - 51   2019.1

    　More details

    Authorship：Corresponding author   Language：English  

    DOI： 10.1007/s00013-018-1226-5

  10. Hochschild Cohomology of q-Schur Algebras Reviewed International journal

    Mayu Tsukamoto

    ALGEBRAS AND REPRESENTATION THEORY   Vol. 20 ( 3 ) page： 531 - 546   2017.6

    　More details

    Authorship：Corresponding author   Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1007/s10468-016-9653-0

    Web of Science

▼display all

To the head of Papers.▲

MISC 13

  1. Tilting theoretic approach to quasi-hereditary structures

    Takahide Adachi, Aaron Chan, Yuta Kimura, Mayu Tsukamoto

    arXiv:2507.16575     2025.7

  2. Quasi-hereditary structures and tilting modules

    Takahide Adachi, Aaron Chan, Yuta Kimura, Mayu Tsukamoto

    Proceedings of the 56th Symposium on Ring Theory and Representation Theory     page： 1 - 5   2025.2

  3. A bijection between silting subcategories and bounded hereditary cotorsion pairs

    Takahide Adachi, Mayu Tsukamoto

        page： 1 - 6   2023

  4. Intervals of s-torsion pairs in extriangulated categories with negative first extensions

    Takahide Adachi, Haruhisa Enomoto, Mayu Tsukamoto

    Proceedings of the 53rd Symposium on Ring Theory and Representation Theory     page： 1 - 6   2022

  5. Constructions of rejective chains

    Mayu Tsukamoto

    Proceedings of the 52nd Symposium on Ring Theory and Representation Theory     page： 123 - 129   2020.2

    　More details

    Language：English  

  6. On balanced Auslander-Dlab-Ringel algebras

    Takahide Adachi, Aaron Chan, Mayu Tsukamoto

    Proceedings of the 52nd Symposium on Ring Theory and Representation Theory     page： 1 - 5   2020.2

  7. A strongly quasi-hereditary structure on Auslander--Dlab--Ringel algebras

    Mayu Tsukamoto

    Proceedings of the 51st Symposium on Ring Theory and Representation Theory     page： 146 - 151   2019.2

    　More details

    Language：English  

  8. Auslander algebras and rejective chains

    Mayu Tsukamoto

        page： 118 - 122   2018.6

    　More details

    Language：English  

  9. Strongly quasi-hereditary algebras and rejective subcategories

    Mayu Tsukamoto

    Proceedings of the 50th Symposium on Ring Theory and Representation Theory     page： 185 - 189   2017

    　More details

    Language：English   Publishing type：Article, review, commentary, editorial, etc. (international conference proceedings)  

  10. On strongly quasi-hereditary algebras

    Mayu Tsukamoto

        page： 60 - 66   2016.11

    　More details

    Language：Japanese   Publishing type：Meeting report  

  11. Hochschild cohomology of $q$-Schur algebras

    Mayu Tsukamoto

      Vol. 1998   page： 26 - 41   2016

    　More details

    Language：Japanese  

    CiNii Research

  12. Hochschild cohomology of $q$-Schur algebras (Cohomology theory of finite groups and related topics)

    Tsukamoto Mayu

    RIMS Kokyuroku   Vol. 1967   page： 29 - 43   2015.10

    　More details

    Language：Japanese   Publisher：Kyoto University  

    CiNii Research

  13. Hochschild cohomology of $q$-Schur algebras

    Mayu Tsukamoto

        page： 78 - 89   2015

    　More details

    Language：Japanese  

▼display all

To the head of MISC.▲

Presentations 41

  1. 準遺伝代数と傾理論 Invited

    塚本真由

    第3回環論表現論ワークショップ in 信州  2025.11.7 

    　More details

    Event date： 2025.11

  2. Quasi-hereditary structures and tilting modules

    Mayu Tsukamoto, Takahide Adachi, Aaron Chan, Yuta Kimura

    The 56th Symposium on Ring Theory and Representation Theory  2024.9.17 

    　More details

    Event date： 2024.9

  3. A construction of quasi-hereditary algebras Invited

    Mayu Tsukamoto

    2023.2.15 

    　More details

    Event date： 2023.2

  4. Hochschild cohomology of q-Schur algebras

    2015.2 

  5. Generalization of HRS-tilt

    Takahide Adachi, Haruhisa Enomoto, Mayu Tsukamoto

    MSJ Autumn Meeting 2022  2022.9.13 

  6. Cotorsion pairs and silting subcategories in extriangulated categories

    MSJ Autumn Meeting 2022  2022.9.13 

  7. Cotorsion pairs and silting subcategories in extriangulated categories Invited

    Mayu Tsukamoto

    Suita Representation Theory Seminar  2022.5.30 

  8. Constructions of rejective chains International conference

    Mayu Tsukamoto

    The Eighth China-Japan-Korea International Symposium on Ring Theory  2019.8.26 

    　More details

    Language：English  

  9. Characterizing strongly quasi-hereditary algebras Invited International conference

    Mayu Tsukamoto

    Conference on Algebraic Representation Theory  2017.11 

    　More details

    Language：English  

  10. Characterization of strongly quasi-hereditary algebras I, II Invited

    2016.2 

  11. Auslander algebras and rejective subcategories

    Mayu Tsukamoto

    23rd Conference on Algebra for Young Researchers in Japan  2018.3 

    　More details

    Language：Japanese  

  12. A strongly quasi-hereditary structure on Auslander--Dlab--Ringel algebras

    Mayu Tsukamoto

    The 51st Symposium on Ring Theory and Representation Theory  2018.9.21 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

  13. A bijection between silting subcategories and bounded hereditary cotorsion pairs

    Mayu Tsukamoto, Takahide Adachi

    The 54th Symposium on Ring Theory and Representation Theory  2022.9.8 

  14. Hochschild cohomology of q-Schur algebras Invited

    Mayu Tsukamoto

    Ring Theory and Representation Theory Seminar  2014.7 

  15. 準遺伝代数について Invited

    塚本 真由

    第5回 岡潔女性数学者セミナー  2022.9.20 

  16. A construction of mixed stratified algebras

    Mayu Tsukamoto, Takahide Adachi

    MSJ Autumn Meeting 2023  2023.9.23 

  17. A categorical characterization of strongly quasi-hereditary algebras and its applications Invited

    Mayu Tsukamoto

    2022.3.16 

  18. Tilting modules and dominant dimension with respect to injective modules

    Mayu Tsukamoto, Takahide Adachi

    MSJ Autumn Meeting 2019  2019.9.17 

    　More details

    Language：Japanese  

  19. Strongly quasi-hereditary algebras and rejective subcategories International conference

    Mayu Tsukamoto

    The 18th International Conference on Representations of Algebras and Workshop  2018.8.15 

    　More details

    Language：English   Presentation type：Oral presentation (general)  

  20. Strongly quasi-hereditary algebras and rejective subcategories

    Mayu Tsukamoto

    MSJ Autumn Meeting 2017  2017.9 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

  21. Strongly quasi-hereditary algebras and rejective subcategories

    Mayu Tsukamoto

    The 50st Symposium on Ring Theory and Representation Theory  2017.10 

    　More details

    Language：Japanese   Presentation type：Poster presentation  

  22. Strongly quasi-hereditary algebras and rejective subcategories

    Mayu Tsukamoto

    Ring Theory and Representation Theory Seminar  2018.3 

    　More details

    Language：Japanese  

  23. Strongly quasi-hereditary algebras and rejective subcategories

    Mayu Tsukamoto

    The 10th Research Meeting of Women in Number Theory in Japan  2017.6 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

  24. Strongly quasi-hereditary algebras and rejective subcategories Invited

    Mayu Tsukamoto

    The 20th Shizuoka Seminar on Algebra  2017.7 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

  25. Quasi-hereditary algebra について Invited

    塚本 真由

    南大阪代数セミナー  2014.6 

  26. On upper bound for global dimension of Auslander--Dlab--Ringel algebras

    Mayu Tsukamoto

    MSJ Autumn Meeting 2018  2018.9.24 

    　More details

    Language：Japanese   Presentation type：Oral presentation (general)  

  27. On strongly quasi-hereditary algebras

    Mayu Tsukamoto

    2018.4.26 

    　More details

    Language：Japanese  

  28. On strongly quasi-hereditary algebras

    2016.6 

  29. On strongly quasi-hereditary algebras

    2016.6 

  30. On rejective subcategories, Strongly quasi-hereditary algebras and rejective subcategories, On strongly quasi-hereditary endomorphism algebras Invited

    Mayu Tsukamoto

    2018.9.11 

    　More details

    Language：Japanese   Presentation type：Oral presentation (invited, special)  

  31. Intervals of s-torsion pairs in extriangulated categories with negative first extensions Invited

    Mayu Tsukamoto

    Minami-Osaka Daisuu Seminar (online)  2021.4.23 

  32. Intervals of s-torsion pairs in extriangulated categories with negative first extensions

    Mayu Tsukamoto, Takahide Adachi, Haruhisa Enomoto

    The 53rd Symposium on Ring Theory and Representation Theory  2021.9.8 

  33. Hochschild cohomology of q-Schur algebras Invited

    Mayu Tsukamoto

    The sixty-sixth Bristol Leicester Oxford Colloquium  2014.7 

  34. Hochschild cohomology of q-Schur algebras

    Mayu Tsukamoto

    Graduate Student Workshop on Mathematics, National Institute for Mathematical Science  2014.7 

  35. Hochschild cohomology of q-Schur algebras Invited

    2014.5 

  36. Hochschild cohomology of q-Schur algebras Invited

    2014.5 

  37. Hochschild cohomology of q-Schur algebras

    2014.6 

  38. Hochschild cohomology of q-Schur algebras

    Mayu Tsukamoto

    The 16th International Conference on Representations of Algebras and Workshop  2014.8 

  39. Hochschild cohomology of q-Schur algebras

    2014.10 

  40. Hochschild cohomology of q-Schur algebras Invited

    Mayu Tsukamoto

    Shanghai Workshop on Representation Theory  2014.12 

  41. Hochschild cohomology of q-Schur algebras Invited

    (非) 可換代数とトポロジー  2015.2 

▼display all

To the head of Presentations.▲

KAKENHI (Grants-in-Aid for Scientific Research) 3

  1. 圏論的性質に着目した準遺伝多元環の構成

    Grant number：23K12959  2023.4 - 2027.3

    日本学術振興会  科学研究費助成事業 若手研究  若手研究

    塚本 真由

    　 More details

    Authorship：Principal investigator 

    Grant amount：\3120000 （ Direct Cost: \2400000 、 Indirect Cost：\720000 ）

  2. 削除鎖を用いた大域次元が有限な多元環の研究

    Grant number：19K14513  2019.4 - 2023.3

    日本学術振興会  科学研究費助成事業 若手研究  若手研究

    塚本 真由

    　 More details

    Authorship：Principal investigator 

    Grant amount：\3640000 （ Direct Cost: \2800000 、 Indirect Cost：\840000 ）

    大域次元が有限な多元環は可換環論における正則環の非可換類似であり, 多元環の表現論においても重要なクラスとして位置付けられている. そこで本研究課題では, 大域次元が有限な多元環の実現を与えることを主目的としている.
    他方, 準遺伝多元環は Cline--Parshall--Scott によって導入された大域次元が有限な多元環のクラスである. 準遺伝多元環の構成方法として, 次に述べる Dlab--Ringel の標準化法が知られている. 標準加群のように振る舞うアーベル圏上の対象の集合を標準化可能集合という. Dlab--Ringel は標準化可能集合を含む拡大で閉じたある部分圏の射影生成元の自己準同型環として準遺伝多元環が得られることを示した. より一般に, Dlab--Ringel の標準化法によって standardly stratified 多元環を構成できることが知られている.
    2021年度は, Dlab--Ringel の標準化法の一般化を与えた(山口大学の足立崇英氏との共同研究). つまり, standardly stratified 多元環を含むクラスである mixed stratified 多元環の構成を Dlab--Ringel の標準化法に倣って与えた.
    Extriangulated 圏は完全圏(アーベル圏)と三角圏の共通の一般化として Nakaoka--Palu によって導入された概念である. 本研究では, extriangulated 圏上に混合標準化可能集合を標準化可能集合の一般化として定義し, これを用いて mixed stratified 多元環を構成した.

  3. ルート系に付随する多元環の Hochschild コホモロジー論の研究

    2015.4 - 2018.3

    特別研究員奨励費(DC1) 

    塚本 真由

    　 More details

    Authorship：Principal investigator  Grant type：Competitive

To the head of KAKENHI (Grants-in-Aid for Scientific Research).▲
 

Teaching Experience (Off-campus) 6

  1. Linear Algebra Ⅰ

    2023.4 （Yamaguchi University）

  2. Basic Linear Algebra Ⅰ

    2022.6 （Yamaguchi University）

  3. Mathematics II

    2019.10 （Yamaguchi University）

  4. Data Science and Society Ⅰ

    2019.4 （Yamaguchi University）

  5. 線形代数学I

    （Osaka Institute of Technology）

  6. 微分方程式I

    （Osaka Institute of Technology）

▼display all

To the head of Teaching Experience (Off-campus).▲