HIROKI MATSUI

Last Updated :2026/04/13

Affiliations, Positions
Graduate School of Advanced Science and Engineering, Associate Professor
Web Site
https://mthiroki.github.io/
E-mail
hrmatsuihiroshima-u.ac.jp
Self-introduction
My research interest is commutative algebra from category-theoretic and homological viewpoints.

Basic Information

Major Professional Backgrounds

  • 2026/04, Hiroshima University, Graduate School of Advanced Science and Engineering, Associate Professor
  • 2021/10, 2026/03, Tokushima University, Graduate School of Technology, Industrial and Social Sciences, Associate Professor
  • 2019/04, 2021/09, The University of Tokyo, Graduate School of Mathematical Sciences, Research Fellowship for Young Scientists SPD
  • 2018/04, 2019/03, Nagoya University, Graduate School of Mathematics, Research Fellowship for Young Scientists PD
  • 2016/04, 2018/03, Nagoya University, Graduate School of Mathematics, Research Fellowship for Young Scientists DC1

Educational Backgrounds

  • Nagoya University, Graduate School of Mathematics, Doctoral Course, Japan, 2016/04, 2018/03
  • Nagoya University, Graduate School of Mathematics, Master Course, Japan, 2014/04, 2016/03
  • Nagoya University, School of Science, Department of Mathematics, Japan, 2010/04, 2014/03

Research Fields

  • Mathematical and physical sciences;Mathematics;Algebra

Research Keywords

  • Commutative Algebra, Algebraic Geometry, Category, Homological Algebra

Affiliated Academic Societies

  • The Mathematical Society of Japan

Research Activities

Academic Papers

  1. Two theorems on the vanishing of Ext, Proceedings of the American Mathematical Society, 153, 3209-3225, 2025
  2. A new proof of the Bondal-Orlov reconstruction using Matsui spectra, Bulletin of the London Mathematical Society, 57(7), 2058-2076, 2025
  3. Depth formula for modules of finite reducing projective dimension, Annali di Matematica Pura ed Applicata, 204, 859-878, 2025
  4. When is a subcategory Serre or torsionfree?, Publications of the Research Institute for Mathematical Sciences, 60(4), 831-857, 2024
  5. Remarks on a conjecture of Huneke and Wiegand and the vanishing of (co)homology, Journal of the Mathematical Society of Japan, 76(3), 951-974, 2024
  6. On the reducing projective dimension over local rings, Glasgow Mathematical Journal, 66(1), 104-118, 2024
  7. On the categorical entropy of the Frobenius pushforward functor, Bulletin of the London Mathematical Society, 55(3), 1358-1372, 2023
  8. Serre's condition for tensor products and n-Tor-rigidity of modules, Journal of Commutative Algebra, 15(1), 55-63, 2023
  9. An extension of a depth inequality of Auslander, Taiwanese Journal of Mathematics, 26(5), 903-926, 2022
  10. On the depth and reflexivity of tensor products, Journal of Algebra, 606, 916-932, 2022
  11. Filtrations in module categories, derived categories and prime spectra, International Mathematics Research Notices, 2022(5), 3457-3492, 2022
    Link to Paper Search Results by DOI
  12. Prime thick subcategories and spectra of derived and singularity categories of noetherian schemes, Pacific Journal of Mathematics, 313(2), 433-457, 2021
  13. On an example concerning the second rigidity theorem, Contemporary Mathematics Commutative Algebra: 150 Years with Roger and Sylvia Wiegand, 1-10, 2021
  14. Cohomological dimensions of specialization-closed subsets and subcategories of modules, Proceedings of the American Mathematical Society, 149, 481-496, 2021
  15. Construction of spectra of triangulated categories and applications to commutative rings, Journal of the Mathematical Society of Japan, 72(4), 1283-1307, 2020
  16. Singular equivalences of commutative noetherian rings and reconstruction of singular loci, Journal of Algebra, 522, 170-194, 2019
  17. Connectedness of the Balmer spectra of the right bounded derived category, Journal of Pure and Applied Algebra, 222(11), 3733-3744, 2018
  18. Classifying dense resolving and coresolving subcategories of exact categories via Grothendieck groups, Algebras and Representation Theory, 21, 551-563, 2018
  19. Thick tensor ideals of right bounded derived categories, Algebra Number Theory, 11(7), 1677-1738, 2017
  20. When are n-syzygy modules n-torsionfree?, Archiv der Mathematik, 108, 351-355, 2017
  21. Singularity categories and singular equivalences for resolving subcategories, Mathematische Zeitschrift, 285, 251-286, 2016
  22. Prethick Subcategories of Modules and Characterizations of Local Rings, Communications in Algebra, 44(7), 3153-3159, 2016
  23. The structure of preenvelopes with respect to maximal Cohen–Macaulay modules, Journal of Algebra, 447(1), 516-529, 2016
  24. Maximal Cohen-Macaulay approximations and Serre's condition, Acta Mathematica Vietnamica, 40(1), 197-203, 2015

External Funds

Acceptance Results of Competitive Funds

  1. 2026, 2028
  2. 2022, 2025
  3. 2019, 2021
  4. 2016, 2018