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J-GLOBAL ID：201501058416866418   Update date: Sep. 23, 2024

AKIHIRO HIGASHITANI

ヒガシタニ アキヒロ | AKIHIRO HIGASHITANI
Affiliation and department：
Osaka University Graduate School of Information Science and Technology Department of Pure and Applied Mathematics

About Osaka University Graduate School of Information Science and Technology Department of Pure and Applied Mathematics


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  (8)：
  • 2023 - 2028 Discrete structures related to hyperplane arrangements, generalization, deepening, and applications
  • 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
Show all
Papers (71)：
  • Luis Ferroni, Akihiro Higashitani. Examples and counterexamples in Ehrhart theory. EMS Surveys in Mathematical Sciences. 2024
  • Kieran Bhaskara, Akihiro Higashitani, Nayana Shibu Deepthi. The h-vectors of edge rings of odd cycle compositions. Journal of Algebra and Its Applications. 2024
  • Akihiro Higashitani, Hirotake Kurihara. Generalized Alexander quandles of finite groups and their characterizations. European Journal of Mathematics. 2024. 10. 3
  • Akihiro Higashitani, Kazuki Kurimoto, Naoki Matsumoto. Feedback game on 3-chromatic Eulerian triangulations of surfaces. Discrete Applied Mathematics. 2024. 347. 30-38
  • Akihiro Higashitani. Difference of Hilbert series of homogeneous monoid algebras and their normalizations. Semigroup Forum. 2024. 108. 101-114
ｍore...
MISC (2)：
  • Higashitani Akihiro. Ehrhart polynomials of polytopes and orthogonal polynomial systems (Designs, Codes, Graphs and Related Areas). RIMS Kokyuroku. 2014. 1889. 74-83
  • 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  (56)：
  • Difference of Hilbert series of homogeneous monoid algebras and their normalizations
    (2024)
  • 斉次アフィン半群環とその正規化のヒルベルト級数の差について
    (日本数学会年会 2024)
  • 正則マトロイドに付随する反射的多面体とγ非負性
    (日本数学会年会 2024)
  • 超平面配置の特性準多項式の周期崩壊
    (離散構造における多項式不変量の研究 2023)
  • 行列のスイッチングと付随する単体的複体による歪多項式環の分類
    (日本数学会年会 2023)
ｍore...
Education (2)：
  • 2009 - 2012 Osaka University Graduate School of Information Science of Technology Department of Pure and Applied Mathematics
  • 2005 - 2009 Osaka University Faculty of Science 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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