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J-GLOBAL ID：200901078195408499   Update date: Aug. 29, 2024

Hibi Takayuki

ヒビ タカユキ | Hibi Takayuki
Affiliation and department：
Osaka University

About Osaka University


Job title： Professora Emeritus
Research field  (1)： Algebra
Research keywords  (3)： Convex Polytope ,  Commutative Algebra ,  Gröbner Basis
Research theme for competitive and other funds  (26)：
  • 2020 - 2025 多項式環のシチジー理論を戦略とするグラフ理論の古典論の再編と現代的潮流の誕生
  • 2019 - 2024 シチジー理論とシンボリック冪の現代的潮流を踏襲する可換環論の戦略的研究の展開
  • 2017 - 2022 代数計算と数値計算の融合を戦略とする医薬品候補物の副作用予測モデルの創造への挑戦
  • 2014 - 2019 統計と計算を戦略とする可換代数と凸多面体論の現代的潮流の誕生
  • 2013 - 2016 四色定理の理論的別証を導く切断多面体の正規性予想の肯定的解決への挑戦
Show all
Papers (229)：
  • Winfried Bruns, Takayuki Hibi. A new invariant of lattice polytopes. Math. Scand. 2024. 130. 221-227
  • Nursel Erey, Jürgen Herzog, Takayuki Hibi, Sara Saeedi Madani. The normalized depth function of squarefree powers. Collect. Math. 2024. 75. 409-423
  • Jürgen Herzog, Takayuki Hibi, Somayeh Moradi, Ayesha Asloob Qureshi. The divisor class group of a discrete polymatroid. J. Combin. Theory Ser. A. 2024. 205. #105869
  • Jürgen Herzog, Takayuki Hibi, Somayeh Moradi. Toric rings arising from vertex cover ideals. Advances in Applied Mathematics. 2024. 152. #102596
  • Jürgen Herzog, Takayuki Hibi. Finite distributive lattices, polyominoes and ideals of König type. Internat. J. Math. 2023. 34. #2350089
ｍore...
Books (19)：
  • Convex Polytopes
    2022 ISBN:9784320114623
  • Polygon and Polytope
    2020 ISBN:9784065213612
  • Algebraic and Geometric Combinatorics on Lattice Polytopes
    World Scientific 2019
  • The 50th Anniversary of Gröbner Bases
    ASPM Vol. 77, Mathematical Society of Japan 2018
  • Binomial Ideals
    GTM 279, Springer 2018
ｍore...
Lectures and oral presentations  (27)：
  • Pick's formula and Castelnuovo polytopes
    (The Many Combinatorial Legacies of Richard P. Stanley, Harvard University, Cambridge, MA 2024)
  • Polytopes and monomials
    (2023)
  • Convex Polytopes, Gröbner Bases and Monomial Ideals
    (EMS SUMMER SCHOOL ON COMBINATORIAL COMMUTATIVE ALGEBRA, Gebze Technical University, Turkey 2022)
  • The Mathematical Legacy of Jürgen Herzog in Commutative Algebra
    (75 + 80 = 155 years of commutative algebra, Osnabrück, Germany 2022)
  • Reflexive Polytopes and Gröbner Bases
    (2019)
ｍore...
Education (4)：
  • 1987 - Ph.D. (Nagoya University)
  • 1983 - 1985 Hiroshima University Graduate School of Science
  • 1981 - 1983 Hiroshima University Graduate School of Science
  • 1976 - 1981 Nagoya University School of Science
Professional career (1)：
  • Ph.D. (Nagoya University)
Work history (7)：
  • 2022/04 - 現在 Osaka University Professor Emeritus
  • 2002/04 - 2022/03 Osaka University Graduate School of Information Science and Technology
  • 1996/04 - 2002/03 Osaka University Graduate School of Science
  • 1995/04 - 1996/03 Osaka University School of Science
  • 1991/10 - 1995/03 Hokkaido University School of Science
Show all
Committee career (1)：
  • 1992 - 現在 Journal of Pure and Applied Algebra 編集委員
Awards (4)：
  • 2018 - 日本数学会 代数学賞 計算可換代数と組合せ論
  • 2017 - 日本学術振興会 科学研究費助成事業 審査委員の表彰
  • 2015 - 大阪大学 総長顕彰 研究部門
  • 2013 - 大阪大学 総長顕彰 研究部門
Association Membership(s) (1)：
日本数学会
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