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Associate Professor : Matsui, Hiroki |
| ○ | Mathematics |
| ○ | (可換環論, 代数幾何学, 表現論) |
| 1. | Celikbas Olgur, Le Uyen, Hiroki Matsui and Sadeghi Arash : Remarks on a conjecture of Huneke and Wiegand and the vanishing of (co)homology, Journal of Mathematical Society of Japan, Vol.76, No.3, 951-974, 2024. (DOI: 10.2969/jmsj/90749074, CiNii: 1390582407485944704, Elsevier: Scopus) |
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| 2. | Celikbas Olgur, Dey Souvik, Kobayashi Toshinori and Hiroki Matsui : On the reducing projective dimension over local rings, Glasgow Mathematical Journal, Vol.66, No.1, 104-118, 2024. (DOI: 10.1017/S0017089523000368, Elsevier: Scopus) |
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| 3. | 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) |
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| 4. | 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) |
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| 5. | 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) |
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| 6. | 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) |
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| 7. | 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) |
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| 8. | 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) |
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| 9. | 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) |
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| 10. | 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) |
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| 11. | 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) |
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| 12. | 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) |
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| 13. | 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) |
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| 14. | 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) |
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| 15. | 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) |
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| 16. | 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) |
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| 17. | 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) |
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| 18. | 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) |
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| 19. | 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) |
| 1. | Hiroki Matsui : The spectrum of a triangulated category and its applications to algebraic geometry, Geometry and Dynamics Seminar, Online, May 2024. |
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| 2. | Hiroki Matsui : Spectra of triangulated categories and their applications, The 9th China-Japan-Korea International Conference on Ring and Module Theory, Incheon, Korea, Aug. 2023. |
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| 3. | Hiroki Matsui : Spectra of derived categories of Noetherian schemes, Seminar of Algebraic Geometry in East Asia, Online, May 2022. |
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| 4. | Hiroki Matsui : Prime thick subcategories of derived categories associated with noetherian schemes, FD Seminar, Online, Oct. 2021. |
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| 5. | 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. |
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| 6. | Hiroki Matsui : Classification of subcategories and reconstruction problems, Colloquium at Math Department at West Virginia University, West Virginia, USA, Jan. 2020. |
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| 7. | Hiroki Matsui : On tensor products which are syzygy modules, AMS Sectional Meeting, Special Session on Commutative Algebra and its Environs, Hawaii, USA, Mar. 2019. |
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| 8. | Hiroki Matsui : Singular equivalences and reconstruction of singular loci, Stable Cohomology: Foundations and Applications, Snowbird, Utah, USA, May 2018. |
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| 9. | Hiroki Matsui : Introduction to triangulated categories in commutative algebra, International Workshop on Commutative Algebra by and for Young Mathematicians, Thai Nguyen, Vietnam, Jan. 2018. |
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| 10. | 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. |
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| 11. | Hiroki Matsui : Balmer spectra of right bounded derived categories, International workshop on commutative algebra, Thai Nguyen, Vietnam, Jan. 2017. |
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| 12. | 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. |
| 1. | Hiroki Matsui : Depth formula for modules with finite reducing projective dimension, 東京可換環論セミナー, Jul. 2024. |
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| 2. | Hiroki Matsui : 三角圏の幾何学とその応用, ミニワークショップ「Classification of Subcategories of abelian and triangulated categories」, Jun. 2024. |
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| 3. | Hiroki Matsui : 三角圏のsupportと三角圏の幾何学, 第1回可換代数と情報数理セミナー, May 2024. |
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| 4. | Hiroki Matsui : フロベニウス押し出し関手の圏論的エントロピー, 正標数の可換環論と周辺2024 in 淡路島,兵庫県, Mar. 2024. |
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| 5. | Hiroki Matsui : 三角圏の幾何学とその応用, 令和5年度 日本数学会中国・四国支部例会,徳島大学, Jan. 2024. |
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| 6. | Hiroki Matsui : Characterization of local rings via reducing homological dimensions, 第44回可換環論シンポジウム,神奈川県, Nov. 2023. |
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| 7. | Hiroki Matsui : Frobenius押し出し関手の圏論的エントロピー, 第5回情報数理セミナー,栃木県, Jun. 2023. |
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| 8. | 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. |
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| 9. | 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. |
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| 10. | 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. |
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| 11. | 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, Sep. 2022. |
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| 12. | 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. |
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| 13. | 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. |
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| 14. | 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. |
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| 15. | 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. |
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| 16. | 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. |
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| 17. | Hiroki Matsui : Prime thick subcategories of derived categories associated with noetherian schemes, 特異点セミナー, Jul. 2021. |
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| 18. | 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. |
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| 19. | Hiroki Matsui : Prime thick subcategories and spectra of derived and singularity categories of noetherian schemes, OCAMI代数セミナー, Apr. 2021. |
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| 20. | 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. |
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| 21. | Hiroki Matsui : Construction of spectra of triangulated categories, Mini Workshop on ``Derived categories of coherent sheaves", Mar. 2020. |
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| 22. | 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. |
| 1. | Hiroki Matsui : Categorical entropy of the Frobenius pushforward functor, The 11th Japan-Vietnam Joint seminar on Commutative Algebra, Mar. 2023. |