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J-GLOBAL ID:201501058416866418   Update date: Oct. 15, 2021

AKIHIRO HIGASHITANI

ヒガシタニ アキヒロ | AKIHIRO HIGASHITANI
Affiliation and department:
Homepage URL  (1): http://sv2-mat.ist.osaka-u.ac.jp/~higashitani/index.html
Research field  (1): Algebra
Research keywords  (1): 組合せ論と可換代数
Research theme for competitive and other funds  (7):
  • 2021 - 2026 Challenge towards the open problems in the theory of lattice polytopes by algebraic and combinatorial methods
  • 2020 - 2024 組合せ的変異を駆使した格子凸多面体に関連する諸問題の解決
  • 2018 - 2023 離散幾何的な新概念とグレブナー基底理論の融合による凸多面体論における新手法の開発
  • 2017 - 2019 整凸多面体のCayley分解を巡る構造解析及び関連する諸問題の解決
  • 2014 - 2017 代数的及び組合せ論的手法を駆使した正規整凸多面体のδ列の探究
Show all
Papers (46):
  • Akihiro Higashitani, Hidefumi Ohsugi. Quadratic Gr\"obner bases of block diagonal matching field ideals and toric degenerations of Grassmannians. J. Pure Appl. Algebra. 2022. 226. 2. 1-14
  • Akihiro Higashitani, Hiroju Kanno, Kazunori Matsuda. Inequalities of invariants on Stanley-Reisner rings of Cohen-Macaulay simplicial complexes. Journal of Pure and Applied Algebra. 2021
  • Akihiro Higashitani, Benjamin Nill, Akiyoshi Tsuchiya. Gorenstein polytopes with trinomial $h^*$-polynomials. Beiträge zur Algebra und Geometrie, to appear. 2021. 62. 667-685
  • Naoki Fujita, Akihiro Higashitani. Newton-Okounkov bodies of flag varieties and combinatorial mutations. Int. Math. Res. Not. 2021. 12. 9567-9607
  • Akihiro Higashitani, Yusuke Nakajima. Generalized F-signatures of Hibi rings. Illinois J. Math. 2021. 65. 1. 97-120
more...
MISC (1):
  • 日比 孝之, 東谷 章弘, 木村 杏子, Augustine, B. O'Keefe. On the depth of edge rings. 2011. 1769. 83-89
Books (2):
  • 鏡映の数学 -有限鏡映群の幾何学-
    丸善出版 2015
  • グレブナー教室 -計算代数統計への招待-
    共立出版 2015
Lectures and oral presentations  (43):
  • Universal inequalities for h^*-vectors of lattice polytopes
    (KTH Combinatorics Seminar 2021)
  • Combinatorial mutation equivalence of poset polytopes
    (AMS Western Sectional Meeting 2021)
  • Block diagonal matching fieldイデアルとグラスマン多様体のトーリック退化
    (日本数学会2021年度年会 2021)
  • 完全多部グラフのエッジ環のconic因子的イデアルと非可換クレパント特異点解消の構成
    (日本数学会2021年度年会 2021)
  • Introduction to combinatorial mutations of polytopes and its applications
    (Combinatorics on Flag Varieties and Related Topics 2021 2021)
more...
Education (2):
  • 2009 - 2012 Osaka University Department of Pure and Applied Mathematics
  • 2005 - 2009 Osaka University Department of Mathematics
Professional career (1):
  • 博士(理学) (大阪大学)
Work history (5):
  • 2019/04 - 現在 Osaka University Graduate School of Information Science and Technology, Department of Pure and Applied Mathematcs Assoiate Professor
  • 2017/04 - 2019/03 Kyoto Sangyo University Faculty of Science, Department of Mathematics Assoiate Professor
  • 2015/04 - 2017/03 Kyoto Sangyo University Faculty of Science, Department of Mathematics Assistant Professor
  • 2014/04 - 2015/03 Kyoto University Graduate School of Science, Department of Mathematcs Postdoctoral Fellow (SPD)
  • 2012/10 - 2014/03 Osaka University Graduate School of Information Science and Technology, Department of Pure and Applied Mathematcs Postdoctoral Fellow (PD)
Awards (2):
  • 2012/09 - 日本数学会 日本数学会建部賢弘奨励賞
  • 2011/03 - Osaka University, Graduate School of Information Science and Technology Award of the Graduate School of Information Science and Technology of Osaka University
Association Membership(s) (1):
日本数学会
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