Organization
Undergraduate School School of Science and Technology Associate Professor
Title
Associate Professor
External link
Research Interests
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可換環論
Research Areas
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Natural sciences / Algebra
Education
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Nagoya University Graduate School of Mathematics
2018.4 - 2020.3
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Nagoya University Graduate School of Mathematics
2016.4 - 2018.3
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Kyoto University Faculty of Science
2012.4 - 2016.3
Research History
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Meiji University School of Science and Technology Department of Mathematics Senior Assistant Professor
2023.4
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明治大学理工学部 日本学術振興会 特別研究員PD
2021.4 - 2023.3
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Nagoya University Graduate School of Mathematics
2020.4 - 2021.3
Professional Memberships
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日本数学会
2018.3
Papers
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TWO THEOREMS ON THE VANISHING OF EXT
Celikbas, O., Dey, S., Kobayashi, T., Matsui, H., Sadeghi, A.
Proceedings of the American Mathematical Society 153 ( 8 ) 2025
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Depth formula for modules of finite reducing projective dimension
Celikbas, O., Kobayashi, T., Laverty, B., Matsui, H.
Annali Di Matematica Pura Ed Applicata 204 ( 2 ) 2025
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Semidualizing modules over numerical semigroup rings Reviewed
Ela Celikbas, Hugh Geller, Toshinori Kobayashi
International Journal of Algebra and Computation 34 ( 5 ) 607 - 637 2024.8
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When are KE-closed subcategories torsion-free classes? Reviewed
Kobayashi, T., Saito, S.
Mathematische Zeitschrift 307 ( 4 ) 2024
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The set of trace ideals of curve singularities Reviewed
Kobayashi, T., Kumashiro, S.
Israel Journal of Mathematics 2024
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On the reducing projective dimension over local rings Reviewed
Olgur Celikbas, Souvik Dey, Toshinori Kobayashi, Hiroki Matsui
Glasgow Mathematical Journal 66 ( 1 ) 104 - 118 2023.10
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Vanishing of (co)homology of Burch and related submodules Reviewed
Souvik Dey, Toshinori Kobayashi
Illinois Journal of Mathematics 67 ( 1 ) 101 - 151 2023.4
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Modules with finite reducing Gorenstein dimension Reviewed
Tokuji Araya, Olgur Celikbas, Jesse Cook, Toshinori Kobayashi
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 2023.2
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Trace ideals of canonical modules, annihilators of Ext modules, and classes of rings close to being Gorenstein Reviewed
Hailong Dao, Toshinori Kobayashi, Ryo Takahashi
Journal of Pure and Applied Algebra 225 ( 9 ) 106655 - 106655 2021.9
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Syzygies of Cohen–Macaulay Modules over One Dimensional Cohen–Macaulay Local Rings Reviewed
Toshinori Kobayashi
Algebras and Representation Theory 25 ( 5 ) 1061 - 1070 2021.5
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On a class of Burch ideals and a conjecture of Huneke and Wiegand Reviewed
Olgur Celikbas, Toshinori Kobayashi
Collectanea Mathematica 73 ( 2 ) 221 - 236 2021.3
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Burch ideals and Burch rings Reviewed
Hailong Dao, Toshinori Kobayashi, Ryo Takahashi
Algebra & Number Theory 14 ( 8 ) 2121 - 2150 2020.9
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Local rings with self-dual maximal ideal Reviewed
Toshinori Kobayashi
Illinois Journal of Mathematics 64 ( 3 ) 349 - 373 2020.9
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Maximal Cohen–Macaulay modules that are not locally free on the punctured spectrum Reviewed
Toshinori Kobayashi, Justin Lyle, Ryo Takahashi
Journal of Pure and Applied Algebra 224 ( 7 ) 106311 - 106311 2020.7
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Rings whose ideals are isomorphic to trace ideals Reviewed
Toshinori Kobayashi, Ryo Takahashi
Mathematische Nachrichten 292 ( 10 ) 2252 - 2261 2019.7
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On delta invariants and indices of ideals Reviewed
Toshinori KOBAYASHI
Journal of the Mathematical Society of Japan 71 ( 2 ) 589 - 597 2019.4
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On a question of Buchweitz about ranks of syzygies of modules of finite length Reviewed
Toshinori Kobayashi
Proceedings of the American Mathematical Society 147 ( 2 ) 455 - 460 2018.11
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Ulrich modules over Cohen–Macaulay local rings with minimal multiplicity Reviewed
Toshinori Kobayashi, Ryo Takahashi
The Quarterly Journal of Mathematics 70 ( 2 ) 487 - 507 2018.10
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Syzygies of Cohen–Macaulay modules and Grothendieck groups Reviewed
Toshinori Kobayashi
Journal of Algebra 490 372 - 379 2017.11
Awards
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多元数理論文賞
2018.3 名古屋大学大学院多元数理科学研究科
Research Projects
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可換環上の反射的加群の研究
Grant number：25K17240 2025.4 - 2028.3
日本学術振興会 科学研究費助成事業 若手研究
小林 稔周
Grant amount：\3250000 （ Direct Cost: \2500000 、 Indirect Cost：\750000 ）
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