HIROKI MATSUI

Last Updated :2026/05/08

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

Educational Activity

Course in Charge

  1. 2026, Liberal Arts Education Program1, 4Term, CalculusII
  2. 2026, Undergraduate Education, 3Term, Algebra II
  3. 2026, Undergraduate Education, 3Term, Exercises in Algebra II
  4. 2026, Undergraduate Education, 1Term, Algebra C
  5. 2026, Undergraduate Education, First Semester, Special Study of Mathematics and Informatics for Graduation
  6. 2026, Undergraduate Education, Second Semester, Special Study of Mathematics and Informatics for Graduation
  7. 2026, Graduate Education (Master's Program) , Year, Algebra Seminar I
  8. 2026, Graduate Education (Master's Program) , 1Term, Algebra A
  9. 2026, Graduate Education (Master's Program) , Year, Exercises in Mathematics
  10. 2026, Graduate Education (Master's Program) , First Semester, Exercises in Mathematics A
  11. 2026, Graduate Education (Master's Program) , Second Semester, Exercises in Mathematics B
  12. 2026, Graduate Education (Master's Program) , Year, Seminar in Mathematics
  13. 2026, Graduate Education (Doctoral Program) , Year, Seminar in Mathematics

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