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Tokushima University ⟩ Graduate School of Technology, Industrial and Social Sciences ⟩ Division of Science and Technology ⟩ Mathematical Science ⟩ Mathematics and Computer Sciences ⟩ (Files for researchmap) [PDF manual] [Auto-propagate to researchmap]

Research

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Field of Study

○ Mathematics

Subject of Study

○ (可換環論, 代数幾何学, 表現論)

Book / Paper

Academic Paper (Judged Full Paper):

1. Hiroki Matsui and Ryo Takahashi :
On the categorical entropy of the Frobenius pushforward functor,
Bulletin of the London Mathematical Society, Vol.55, No.3, 1358-1372, 2023.
(DOI: 10.1112/blms.12796,   Elsevier: Scopus)
2. Olgur Celikbas, Uyen Le and Hiroki Matsui :
An extension of a depth inequality of Auslander,
Taiwanese Journal of Mathematics, Vol.26, No.5, 903-926, 2022.
(DOI: 10.11650/tjm/220501,   Elsevier: Scopus)
3. Olgur Celikbas, Uyen Le and Hiroki Matsui :
On the depth and reflexivity of tensor products,
Journal of Algebra, Vol.606, 916-932, 2022.
(DOI: 10.1016/j.jalgebra.2022.05.016)
4. Hiroki Matsui :
Prime thick subcategories and spectra of derived and singularity categories of noetherian schemes,
Pacific Journal of Mathematics, Vol.313, No.2, 433-457, 2021.
(DOI: 10.2140/pjm.2021.313.433)
5. Olgur Celikbas, Hiroki Matsui and Arash Sadeghi :
On an example concerning the second rigidity theorem,
AMS Contemporary Mathematics Commutative Algebra: 150 Years with Roger and Sylvia Wiegand, 1-10, 2021.
(DOI: 10.1090/conm/773,   Elsevier: Scopus)
6. Hiroki Matsui and Ryo Takahashi :
Filtrations in Module Categories, Derived Categories, and Prime Spectra,
International Mathematics Research Notices, Vol.2022, No.5, 3457-3492, 2020.
(DOI: 10.1093/imrn/rnaa284,   Elsevier: Scopus)
7. Hiroki Matsui, Tran Tuan Nam, Ryo Takahashi, Nguyen Minh Tri and Do Ngoc Yen :
Cohomological dimensions of specialization-closed subsets and subcategories of modules,
Proceedings of the American Mathematical Society, Vol.149, 481-496, 2020.
(DOI: 10.1090/proc/15102)
8. Hiroki Matsui and Ryo Takahashi :
Construction of spectra of triangulated categories and applications to commutative rings,
Journal of Mathematical Society of Japan, Vol.72, No.4, 1283-1307, 2020.
(DOI: 10.2969/jmsj/82868286)
9. Hiroki Matsui :
Singular equivalences of commutative noetherian rings and reconstruction of singular loci,
Journal of Algebra, Vol.522, No.15, 170-194, 2019.
(DOI: 10.1016/j.jalgebra.2018.11.037,   Elsevier: Scopus)
10. Hiroki Matsui :
Connectedness of the Balmer spectrum of the right bounded derived category,
Journal of Pure and Applied Algebra, Vol.222, No.11, 3733-3744, 2018.
(DOI: 10.1016/j.jpaa.2018.02.003)
11. Hiroki Matsui :
Classifying Dense Resolving and Coresolving Subcategories of Exact Categories Via Grothendieck Groups,
Algebras and Representation Theory, Vol.21, 551-563, 2018.
(DOI: 10.1007/s10468-017-9726-8,   Elsevier: Scopus)
12. Hiroki Matsui and Ryo Takahashi :
Thick tensor ideals of right bounded derived categories,
Algebra & Number Theory, Vol.11, No.7, 1677-1738, 2017.
(DOI: 10.2140/ant.2017.11.1677)
13. Hiroki Matsui, Ryo Takahashi and Yoshinao Tsuchiya :
When are n-syzygy modules n-torsionfree?,
Archiv der Mathematik, Vol.108, 351-355, 2017.
(DOI: 10.1007/s00013-017-1020-9)
14. Hiroki Matsui and Ryo Takahashi :
Singularity categories and singular equivalences for resolving subcategories,
Mathematische Zeitschrift, Vol.285, 251-286, 2017.
(DOI: 10.1007/s00209-016-1706-x)
15. Hiroki Matsui and Hayato Murata :
Prethick Subcategories of Modules and Characterizations of Local Rings,
Communications in Algebra, Vol.44, No.7, 3153-3159, 2016.
(DOI: 10.1080/00927872.2015.1065860)
16. Hiroki Matsui :
The structure of preenvelopes with respect to maximal CohenMacaulay modules,
Journal of Algebra, Vol.447, No.1, 516-529, 2016.
(DOI: 10.1016/j.jalgebra.2015.09.042)
17. Hiroki Matsui and Ryo Takahashi :
Maximal CohenMacaulay Approximations and Serres Condition,
Acta Mathematica Vietnamica, Vol.40, No.1, 197-203, 2015.
(DOI: 10.1007/s40306-014-0105-9)

Proceeding of International Conference:

1. Hiroki Matsui :
Categorical entropy of the Frobenius pushforward functor,
第54回環論および表現論シンポジウム, 埼玉大学, Sep. 2022.
2. Hiroki Matsui :
Spectra of derived categories of Noetherian schemes,
Seminar of Algebraic Geometry in East Asia, Online, May 2022.
3. Hiroki Matsui :
Prime thick subcategories of derived categories associated with noetherian schemes,
FD Seminar, Online, Oct. 2021.
4. Hiroki Matsui and Ryo Takahashi :
Subcategories of module/derived categories and subsets of Zariski spectra,
AMS Sectional Meeting, Special Session on Commutative Algebra, Online, Mar. 2021.
5. Hiroki Matsui :
Classification of subcategories and reconstruction problems,
Colloquium at Math Department at West Virginia University, West Virginia, USA, Jan. 2020.
6. Hiroki Matsui :
On tensor products which are syzygy modules,
AMS Sectional Meeting, Special Session on Commutative Algebra and its Environs, Hawaii, USA, Mar. 2019.
7. Hiroki Matsui :
Singular equivalences and reconstruction of singular loci,
Stable Cohomology: Foundations and Applications, Snowbird, Utah, USA, May 2018.
8. Hiroki Matsui :
Introduction to triangulated categories in commutative algebra,
International Workshop on Commutative Algebra by and for Young Mathematicians, Thai Nguyen, Vietnam, Jan. 2018.
9. Hiroki Matsui :
Balmer spectra of right bounded derived categories of commutative noetherian rings, AMS Sectional Meeting,
AMS Spring Central Sectional Meeting, Special Session on Commutative Algebra, Bloomington, Indiana, USA, Apr. 2017.
10. Hiroki Matsui :
Balmer spectra of right bounded derived categories,
International workshop on commutative algebra, Thai Nguyen, Vietnam, Jan. 2017.
11. Hiroki Matsui :
The relation between Zariski spectra and Balmer spectra for right bounded derived categories,
JAPAN-VIETNAM WORKSHOP ON COMMUTATIVE ALGEBRA, 2016 -by and for young mathematicians- Local rings, Combinatrics, and Representation Theory, Japan, Sep. 2016.

Proceeding of Domestic Conference:

1. Hiroki Matsui :
三角圏のスペクトラムとスキームの復元問題,
日本数学会2023年度年会, Mar. 2023.
2. Hiroki Matsui :
Spectra of derived categories of algebraic varieties and reconstruction,
第43回可換環論シンポジウム, Nov. 2022.
3. Hiroki Matsui :
導来圏のスペクトラムと代数多様体の復元問題,
日本数学会2022年度秋季総合分科会, Sep. 2022.
4. Hiroki Matsui :
ネータースキームの導来圏の素thick 部分圏とスペクトラム,
可換環論の新しい融合セミナー, Jan. 2022.
5. Hiroki Matsui :
ネータースキームの導来圏の素thick 部分圏,
東京可換環論セミナー, Dec. 2021.
6. Hiroki Matsui :
可換環論における部分圏の分類理論について,
令和3年度徳島数学談話会, Dec. 2021.
7. Hiroki Matsui :
三角圏のスペクトラムとその種々の導来圏への応用,
阪大オンライン代数幾何学セミナー, Nov. 2021.
8. Hiroki Matsui :
Prime thick subcategories of derived categories associated with noetherian schemes,
第42回可換環論シンポジウム, Nov. 2021.
9. Hiroki Matsui :
Prime thick subcategories of derived categories associated with noetherian schemes,
特異点セミナー, Jul. 2021.
10. Hiroki Matsui :
On the depth inequality and the second rigidity theorem,
可換環論オンラインセミナー, Jun. 2021.
11. Hiroki Matsui :
Prime thick subcategories and spectra of derived and singularity categories of noetherian schemes,
OCAMI代数セミナー, Apr. 2021.
12. Hiroki Matsui :
Subcategories of module/derived categories and subsets of Zariski spectra,
東京名古屋代数セミナー, Dec. 2020.
13. Hiroki Matsui :
Construction of spectra of triangulated categories,
Mini Workshop on ``Derived categories of coherent sheaves", Mar. 2020.
14. Hiroki Matsui :
三角圏のスペクトラムとその可換環論への応用,
第64回代数学シンポジウム, Sep. 2019.

Et cetera, Workshop:

1. Hiroki Matsui :
Categorical entropy of the Frobenius pushforward functor,
The 11th Japan-Vietnam Joint seminar on Commutative Algebra, Mar. 2023.

Grants-in-Aid for Scientific Research (KAKEN Grants Database @ NII.ac.jp)