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J-GLOBAL ID:201801020012701364   Update date: Apr. 13, 2024

Tsuchiya Akiyoshi

ツチヤ アキヨシ | Tsuchiya Akiyoshi
Affiliation and department:
Job title: Lecturer
Homepage URL  (2): https://www.lab2.toho-u.ac.jp/sci/is/tsuchiya/https://www.lab2.toho-u.ac.jp/sci/is/tsuchiya/index.html
Research field  (1): Algebra
Research keywords  (5): トーリック多様体 ,  integral convex polytope ,  Gr\"{o}bner base ,  toric ideal ,  lattice polytope
Research theme for competitive and other funds  (6):
  • 2022 - 2026 非特異格子凸多面体に関連する代数的および組合せ論的諸問題の解決
  • 2021 - 2026 Challenge towards the open problems in the theory of lattice polytopes by algebraic and combinatorial methods
  • 2019 - 2023 正規反射的凸多面体に付随するδ多項式のunimodal性に関する研究
  • 2019 - 2022 反射的凸多面体を中心とした格子凸多面体の分類理論及び正規性に関する探究
  • 2016 - 2019 Gorenstein Fano凸多面体のEhrhart多項式及びf列の分類
Show all
Papers (48):
  • Soichi Okada, Akiyoshi Tsuchiya. Two Enriched Poset Polytopes. Annals of Combinatorics. 2024. 28. 1. 257-282
  • Akiyoshi Tsuchiya. Castelnuovo polytopes. Michigan Mathematical Journal. 2023. 73. 5. 899-908
  • Hidefumi Ohsugi, Akiyoshi Tsuchiya. PQ-Type Adjacency Polytopes of Join Graphs. Discrete and Computational Geometry. 2023. 70. 1. 214-235
  • Makoto Enokizono, Tatsuya Horiguchi, Takahiro Nagaoka, Akiyoshi Tsuchiya. An additive basis for the cohomology rings of regular nilpotent Hessenberg varieties. Transformation Groups. 2023. 28. 2. 695-732
  • Hidefumi Ohsugi, Kazuki Shibata, Akiyoshi Tsuchiya. Perfectly contractile graphs and quadratic toric rings. Bulletin of the London Mathematical Society. 2023. 55. 3. 1264-1274
more...
MISC (3):
  • Hidefumi Ohsugi, Akiyoshi Tsuchiya. Kempe equivalence and quadratic toric rings. arXiv:2303.12824. 2023
  • Makoto Enokizono, Tatsuya Horiguchi, Takahiro Nagaoka, Akiyoshi Tsuchiya. Uniform bases for ideal arrangements. preprint arXiv:1912.02448. 2019
  • Takayuki Hibi, Kazunori Matsuda, Akiyoshi Tsuchiya. Gorenstein Fano polytopes arising from order polytopes and chain polytopes. preprint arXiv:1507.03221. 2015
Books (3):
  • グレブナー基底と代数多様体入門・下・原書4版
    丸善出版 2023 ISBN:9784621307786
  • グレブナー基底と代数多様体入門・上・原書4版
    丸善出版 2023 ISBN:9784621307779
  • Algebraic and Geometric Combinatorics on Lattice Polytopes
    World Scientific 2019 ISBN:9789811200472
Lectures and oral presentations  (74):
  • Examining Kempe equivalence via commutative algebra
    (Seminar on Nonlinear Algebra 2024)
  • 可換環論を用いたKempe同値の判定法
    (組合せ論と可換代数ウインターセミナー 2023)
  • 2次安定集合環とKempe同値
    (東京可換環論セミナー 2023)
  • 2次トーリック環とKempe同値との関係およびperfectly contractile graphへの応用
    (JCCA 2023 離散数学とその応用研究集会 2023, ミニシンポジウム(グラフ理論とその関連分野) 2023)
  • Algebraic Combinatorics on Symmetric Edge Polytopes
    (Hypergeometric School 2023 2023)
more...
Education (3):
  • 2016 - 2018 Osaka University Graduate school of Information Science and Technology Department of Pure and Applied Mathematics
  • 2014 - 2016 Osaka University Graduate school of Information Science and Technology Department of Pure and Applied Mathematics
  • 2010 - 2014 Osaka University Faculty of Science Department of Mathematics
Professional career (1):
  • 博士(理学) (大阪大学)
Work history (4):
  • 2022/04 - 現在 Toho University Faculty of Science Department of Information Science
  • 2019/04 - 2022/03 JSPS fellowship PD
  • 2018/10 - 2019/03 JSPS fellowship PD
  • 2016/04 - 2018/09 JSPS fellowship DC1
Awards (1):
  • 2023/03 - 日本数学会応用数学研究奨励賞
Association Membership(s) (1):
THE MATHEMATICAL SOCIETY OF JAPAN
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