Higashitani Akihiro 東谷章弘

… Alternative Names

HIGASHITANI Akihiro 東谷章弘

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Researcher Number	60723385
Other IDs
Affiliation (Current)	2025: 大阪大学, 大学院情報科学研究科, 准教授
Affiliation (based on the past Project Information) *help	2022 – 2025: 大阪大学, 大学院情報科学研究科, 准教授 2019 – 2021: 大阪大学, 情報科学研究科, 准教授 2017 – 2018: 京都産業大学, 理学部, 准教授 2015 – 2016: 京都産業大学, 理学部, 助教 2014: 京都大学, 理学(系)研究科(研究院), 研究員
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related / Algebra / Medium-sized Section 11:Algebra, geometry, and related fields Except Principal Investigator Basic Section 12030:Basic mathematics-related / Medium-sized Section 11:Algebra, geometry, and related fields / Sections That Are Subject to Joint Review: Basic Section12030:Basic mathematics-related , Basic Section12040:Applied mathematics and statistics-related / Basic Section 12040:Applied mathematics and statistics-related
Keywords	Principal Investigator 格子多面体 / 組合せ的変異 / 格子凸多面体 / Ehrhart多項式 / 整凸多面体 / 超ポテンシャル / Newton-Okounkov凸体 / グラスマン多様体 / 旗多様体 / h多項式 … More / Ehrhart理論 / 小田予想 / Unimodal予想 / トーリック多様体 / エルハート多項式 / グラスマン多様体のトーリック退化 / Fano多面体 / 組合せ論 / 代数学 / unimodal性 / h^列 / symmetric edge polytope / 日比環 / トーリックイデアル / Cayley分解 / Gorenstein / 正則単模三角形分割 / 正規性 / 反射的凸多面体 / δ列 / 正規 … More Except Principal Investigator エルハート多項式 / 凸多面体 / グレブナー基底 / 数え上げ / 二重被覆空間 / 対数的ベクトル場 / ポセット / マグニチュード / 超平面配置 / トーリックイデアル Less

Study of toric degenerations of flag varieties from viewpoints of combinatorial mutationsPrincipal Investigator
- Principal Investigator
  
  東谷章弘
- Project Period (FY)
  2024 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Osaka University
Construction of a unified theory for toric rings of lattice polytopes arising from combinatorial objects
- Principal Investigator
  
  大杉英史
- Project Period (FY)
  2024 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12030:Basic mathematics-related
  Basic Section 12040:Applied mathematics and statistics-related
  Sections That Are Subject to Joint Review: Basic Section12030:Basic mathematics-related , Basic Section12040:Applied mathematics and statistics-related
- Research Institution
  Kwansei Gakuin University
Discrete structures related to hyperplane arrangements, generalization, deepening, and applications
- Principal Investigator
  
  吉永正彦
- Project Period (FY)
  2023 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Review Section
  
  Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
  The University of Osaka
Challenge towards the open problems in the theory of lattice polytopes by algebraic and combinatorial methodsPrincipal Investigator
- Principal Investigator
  
  東谷章弘
- Project Period (FY)
  2021 – 2025
- Research Category
  
  Fund for the Promotion of Joint International Research (Fostering Joint International Research (B))
- Review Section
  
  Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
  Osaka University
Solutions of problems related to lattice polytopes via combinatorial mutationsPrincipal Investigator
- Principal Investigator
  
  Higashitani Akihiro
- Project Period (FY)
  2020 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Osaka University
Development of new methods in the theory of convex polytopes by combining new concepts of discrete geometry and the theory of Groebner bases
- Principal Investigator
  
  Ohsugi Hidefumi
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12030:Basic mathematics-related
- Research Institution
  Kwansei Gakuin University
Analysis of Cayley decomposition of integral convex polytopes and solutions of related problemsPrincipal Investigator
- Principal Investigator
  
  HIGASHITANI Akihiro
- Project Period (FY)
  2017 – 2019
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
  Kyoto Sangyo University
Study of delta-vectors of normal integral convex polytopes by means of algebraic and combinatorial methodsPrincipal Investigator
- Principal Investigator
  
  HIGASHITANI Akihiro
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Kyoto Sangyo University
  Kyoto University

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 Other

All Journal Article Presentation Book

[Book] 鏡映の数学 -有限鏡映群の幾何学-2015
- Author(s)
  小林雅人・陶山大輔・塚本靖之・中島規博・東谷章弘・嶺山良介
- Total Pages
  222
- Publisher
  丸善出版
- Data Source
  KAKENHI-PROJECT-26800015
[Book] グレブナー教室 -計算代数統計への招待-2015
- Author(s)
  竹村彰道・日比孝之・原尚幸・東谷章弘・清智也・「グレブナー道場」著者一同著
- Total Pages
  224
- Publisher
  共立出版
- Data Source
  KAKENHI-PROJECT-26800015
[Journal Article] Feedback game on 3-chromatic Eulerian triangulations of surfaces2024
- Author(s)
  Higashitani Akihiro、Kurimoto Kazuki、Matsumoto Naoki
- Journal Title
  
  Discrete Applied Mathematics
  
  Volume: 347 Pages: 30-38
- DOI
  10.1016/j.dam.2023.12.023
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03513
[Journal Article] Difference of Hilbert series of homogeneous monoid algebras and their normalizations2024
- Author(s)
  Higashitani Akihiro
- Journal Title
  
  Semigroup Forum
  
  Volume: 108 Issue: 1 Pages: 101-114
- DOI
  10.1007/s00233-024-10414-0
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-21KK0043, KAKENHI-PROJECT-20K03513
[Journal Article] Combinatorial mutations of Gelfand-Tsetlin polytopes, Feigin-Fourier-Littelmann-Vinberg polytopes, and block diagonal matching field polytopes2024
- Author(s)
  Clarke Oliver、Higashitani Akihiro、Mohammadi Fatemeh
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 228 Issue: 7 Pages: 107637-107637
- DOI
  10.1016/j.jpaa.2024.107637
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21KK0043, KAKENHI-PROJECT-20K03513, KAKENHI-PROJECT-23H00081
[Journal Article] The h-vectors of the edge rings of a special family of graphs2023
- Author(s)
  Higashitani Akihiro、Shibu Deepthi Nayana
- Journal Title
  
  Communications in Algebra
  
  Volume: 51 Issue: 12 Pages: 5287-5296
- DOI
  10.1080/00927872.2023.2229442
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03513
[Journal Article] The Distribution of Roots of Ehrhart Polynomials for the Dual of Root Polytopes of Type C2023
- Author(s)
  Higashitani Akihiro、Yamada Yumi
- Journal Title
  
  Graphs and Combinatorics
  
  Volume: 39 Issue: 4 Pages: 1-13
- DOI
  10.1007/s00373-023-02679-z
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03513, KAKENHI-PROJECT-23H00081
[Journal Article] Combinatorial classification of (±1)-skew projective spaces2023
- Author(s)
  Akihiro Higashitani、Kenta Ueyama
- Journal Title
  
  The Quarterly Journal of Mathematics
  
  Volume: 74 Issue: 3 Pages: 939-956
- DOI
  10.1093/qmath/haad012
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K03222, KAKENHI-PROJECT-20K03513
[Journal Article] The ratio of the numbers of odd and even cycles in outerplanar graphs2023
- Author(s)
  Higashitani Akihiro、Matsumoto Naoki
- Journal Title
  
  Discrete Mathematics
  
  Volume: 346 Issue: 4 Pages: 113285-113285
- DOI
  10.1016/j.disc.2022.113285
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03513, KAKENHI-PROJECT-18H01134
[Journal Article] Kempe equivalence of almost bipartite graphs2023
- Author(s)
  Higashitani Akihiro、Matsumoto Naoki
- Journal Title
  
  Australasian Journal of Combinatorics
  
  Volume: 87 Pages: 203-213
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K03513
[Journal Article] The equivariant Ehrhart theory of polytopes with order-two symmetries2023
- Author(s)
  Clarke Oliver、Higashitani Akihiro、Koelbl Max
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 151 Pages: 4027-4041
- DOI
  10.1090/proc/16473
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03513
[Journal Article] Adjacency matrices over a finite prime field and their direct sum decompositions2023
- Author(s)
  Higashitani Akihiro、Sugishita Yuya
- Journal Title
  
  Linear Algebra and its Applications
  
  Volume: 677 Pages: 306-322
- DOI
  10.1016/j.laa.2023.08.007
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03513
[Journal Article] Cohomological rigidity for Fano Bott manifolds2022
- Author(s)
  Higashitani Akihiro、Kurimoto Kazuki
- Journal Title
  
  Mathematische Zeitschrift
  
  Volume: 301 Issue: 3 Pages: 2369-2391
- DOI
  10.1007/s00209-022-02994-w
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03513, KAKENHI-PROJECT-18H01134
[Journal Article] Period Collapse in Characteristic Quasi-Polynomials of Hyperplane Arrangements2022
- Author(s)
  Higashitani Akihiro、Tran Tan Nhat、Yoshinaga Masahiko
- Journal Title
  
  International Mathematics Research Notices
  
  Volume: - Issue: 10 Pages: 8934-8963
- DOI
  10.1093/imrn/rnac104
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03513, KAKENHI-PROJECT-21KK0043
[Journal Article] The Characterisation Problem of Ehrhart Polynomials of Lattice Polytopes2022
- Author(s)
  Higashitani Akihiro
- Journal Title
  
  Interactions with lattice polytopes
  
  Volume: - Pages: 181-195
- DOI
  10.1007/978-3-030-98327-7_8
- ISBN
  9783030983260, 9783030983277
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03513
[Journal Article] The Root Distributions of Ehrhart Polynomials of Free Sums of Reflexive Polytopes2022
- Author(s)
  Hachimori Masahiro、Higashitani Akihiro、Yamada Yumi
- Journal Title
  
  The Electronic Journal of Combinatorics
  
  Volume: 29 Issue: 3
- DOI
  10.37236/10795
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K03513, KAKENHI-PROJECT-18H01134
[Journal Article] Deformations of Dimer Models2022
- Author(s)
  Higashitani Akihiro、Osaka University, Japan、Nakajima Yusuke、Kyoto Sangyo University, Japan
- Journal Title
  
  Symmetry, Integrability and Geometry: Methods and Applications
  
  Volume: 18
- DOI
  10.3842/sigma.2022.030
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K03513, KAKENHI-PROJECT-20K14279, KAKENHI-PROJECT-18H01134
[Journal Article] Three families of toric rings arising from posets or graphs with small class groups2022
- Author(s)
  Higashitani Akihiro、Matsushita Koji
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 226 Issue: 10 Pages: 107079-107079
- DOI
  10.1016/j.jpaa.2022.107079
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03513
[Journal Article] Quadratic Groebner bases of block diagonal matching field ideals and toric degenerations of Grassmannians2022
- Author(s)
  Higashitani Akihiro、Ohsugi Hidefumi
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 226 Issue: 2 Pages: 106821-106821
- DOI
  10.1016/j.jpaa.2021.106821
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18H01134, KAKENHI-PROJECT-20K03513
[Journal Article] Conic divisorial ideals and non-commutative crepant resolutions of edge rings of complete multipartite graphs2022
- Author(s)
  Higashitani Akihiro、Matsushita Koji
- Journal Title
  
  Journal of Algebra
  
  Volume: 594 Pages: 685-711
- DOI
  10.1016/j.jalgebra.2021.12.003
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03513
[Journal Article] Homogeneous quandles arising from automorphisms of symmetric groups2022
- Author(s)
  Higashitani Akihiro、Kurihara Hirotake
- Journal Title
  
  Communications in Algebra
  
  Volume: 51 Issue: 4 Pages: 1413-1430
- DOI
  10.1080/00927872.2022.2137173
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03513, KAKENHI-PROJECT-20K03623, KAKENHI-PROJECT-18H01134
[Journal Article] Levelness versus almost Gorensteinness of edge rings of complete multipartite graphs2022
- Author(s)
  Higashitani Akihiro、Matsushita Koji
- Journal Title
  
  Communications in Algebra
  
  Volume: 50 Issue: 6 Pages: 2637-2652
- DOI
  10.1080/00927872.2021.2015362
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03513, KAKENHI-PROJECT-18H01134
[Journal Article] Cohomological rigidity for toric Fano manifolds of small dimensions or large Picard numbers2022
- Author(s)
  Akihiro Higashitani、Kazuki Kurimoto、Mikiya Masuda
- Journal Title
  
  Osaka Journal of Mathematics
  
  Volume: 59 Pages: 177-215
- NAID
  120007191912
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03513
[Journal Article] Cohomological rigidity for toric Fano manifolds of small dimensions or large Picard numbers2021
- Author(s)
  Akihiro Higashitani, Kazuki Kurimoto and Mikiya Masuda
- Journal Title
  
  Osaka Journal of Mathematics
  
  Volume: ー
- NAID
  120007191912
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03513
[Journal Article] Combinatorial mutations and block diagonal polytopes2021
- Author(s)
  Clarke Oliver、Higashitani Akihiro、Mohammadi Fatemeh
- Journal Title
  
  Collectanea Mathematica
  
  Volume: - Issue: 2 Pages: 305-335
- DOI
  10.1007/s13348-021-00321-w
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03513
[Journal Article] Newton-Okounkov bodies of flag varieties and combinatorial mutations2021
- Author(s)
  Naoki Fujita and Akihiro Higashitani
- Journal Title
  
  International Mathematics Research Notices
  
  Volume: ー Issue: 12 Pages: 9567-9607
- DOI
  10.1093/imrn/rnaa276
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03513, KAKENHI-PROJECT-19J00123, KAKENHI-PROJECT-20K14281
[Journal Article] Combinatorial study of stable categories of graded Cohen-Macauly modules over skew quadric hypersufaces2021
- Author(s)
  Akihiro Higashitani and Kenta Ueyama
- Journal Title
  
  Collectanea Mathematica
  
  Volume: ー Issue: 1 Pages: 43-54
- DOI
  10.1007/s13348-020-00306-1
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03513, KAKENHI-PROJECT-18K13381
[Journal Article] Winding Number of r-modular sequences and Applications to the Singularity Content of a Fano Polygon2021
- Author(s)
  Daniel Cavey and Akihiro Higashitani
- Journal Title
  
  Tohoku Mathematical Journal
  
  Volume: 73 Issue: 1 Pages: 137-158
- DOI
  10.2748/tmj.20200207
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03513
[Journal Article] Gorenstein polytopes with trinomial h*-polynomials2021
- Author(s)
  Akihiro Higashitani, Benjamin Nill and Akiyoshi Tsuchiya
- Journal Title
  
  Beitrage zur Algebra und Geometrie
  
  Volume: ー Issue: 3 Pages: 667-685
- DOI
  10.1007/s13366-020-00513-8
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03513, KAKENHI-PROJECT-19J00312, KAKENHI-PROJECT-19K14505
[Journal Article] Toric ideals of Minkowski sums of unit simplices2020
- Author(s)
  Akihiro Higashitani and Hidefumi Ohsugi
- Journal Title
  
  Algebraic Combinatorics
  
  Volume: 未定
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14177
[Journal Article] Toric ideals of Minkowski sums of unit simplices2020
- Author(s)
  Akihiro Higashitani, Hidefumi Ohsugi
- Journal Title
  
  Algebraic Combinatorics
  
  Volume: 掲載確定
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18H01134
[Journal Article] Arithmetic aspects of symmetric edge polytopes2019
- Author(s)
  Akihiro Higashitani, Katharina Jochemko, Mateusz Michalek
- Journal Title
  
  Mathematika
  
  Volume: 掲載確定
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01134
[Journal Article] Arithmetic Aspects of symmetric edge polytopes2019
- Author(s)
  Akihiro Higashitani, Katharina Jochemko, Mateusz Michalek
- Journal Title
  
  Mathematika
  
  Volume: -
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14177
[Journal Article] Conic divisorial ideals of Hibi rings and their applications to non-commutative crepant resolutions2019
- Author(s)
  Akihiro Higashitani, Yusuke Nakajima
- Journal Title
  
  Selecta Mathematica New Series
  
  Volume: 25 Issue: 5 Pages: 1-25
- DOI
  10.1007/s00029-019-0523-6
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14159, KAKENHI-PROJECT-17K14177
[Journal Article] Smooth centrally symmetric polytopes in dimension 3 are IDP2019
- Author(s)
  Matthias Beck, Christian Haase, Akihiro Higashitani, Johannes Hofscheier, Katharina Jochemko, Lukas Katthaen, Mateusz Michalek
- Journal Title
  
  Annals of Combinatorics
  
  Volume: -
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14177
[Journal Article] Smooth centrally symmetric polytopes in dimension 3 are IDP2019
- Author(s)
  Matthias Beck, Christian Haase, Akihiro Higashitani, Johannes Hofscheier, Katharina Jochemko, Lukas Katthaen, Mateusz Michalek
- Journal Title
  
  Annals of Combinatorics
  
  Volume: 掲載確定
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01134
[Journal Article] Universal inequalities in Ehrhart Theory2018
- Author(s)
  Gabriele Balletti and Akihiro Higashitani
- Journal Title
  
  Israel Journal of Mathematics
  
  Volume: 印刷中
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14177
[Journal Article] Lattice simplices of maximal dimension with a given degree2018
- Author(s)
  Akihiro Higashitani
- Journal Title
  
  Michigan Mathematical Journal
  
  Volume: 印刷中
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14177
[Journal Article] Interlacing Ehrhart polynomials of reflexive polytopes2017
- Author(s)
  Akihiro Higashitani, Mario Kummer and Mateusz Michalek
- Journal Title
  
  Selecta Mathematica
  
  Volume: 23 Issue: 4 Pages: 2977-2998
- DOI
  10.1007/s00029-017-0350-6
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14177
[Journal Article] Minkowski sum of polytopes and its normality2016
- Author(s)
  Akihiro Higashitani
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 68 Issue: 3 Pages: 1147-1159
- DOI
  10.2969/jmsj/06831147
- NAID
  130005166135
- ISSN
  0025-5645, 1881-1167, 1881-2333
- Language
  English
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26800015
[Journal Article] Integer decomposition property of free sums of convex polytopes2016
- Author(s)
  Takayuki Hibi and Akihiro Higashitani
- Journal Title
  
  Annals of Combinatorics
  
  Volume: 20 Issue: 3 Pages: 601-607
- DOI
  10.1007/s00026-016-0314-0
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800015
[Journal Article] Almost Gorenstein homogeneous rings and their h-vectors2016
- Author(s)
  Akihiro Higashitani
- Journal Title
  
  Journal of Algebra
  
  Volume: 未定
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26800015
[Journal Article] Equivalence classes for smooth Fano polytopes,2015
- Author(s)
  Akihiro Higashitani
- Journal Title
  
  arXiv:1503.06434v1
  
  Volume: 1
- Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26800015
[Journal Article] Gorenstein polytopes with trinomial h*-polynomials2015
- Author(s)
  Akihiro Higashitani
- Journal Title
  
  arXiv:1503.05685v1
  
  Volume: 1
- Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26800015
[Journal Article] Unimodality on δ-vectors of lattice polytopes and two related properties2014
- Author(s)
  Akihiro Higashitani
- Journal Title
  
  arXiv:1411.5250v2
  
  Volume: 1
- Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26800015
[Presentation] Difference of Hilbert series of homogeneous monoid algebras and their normalizations2024
- Author(s)
  Akihiro Higashitani
- Organizer
  Seminar at Politecnico di Milano
- Invited
- Data Source
  KAKENHI-PROJECT-21KK0043
[Presentation] Characterizing h^*-polynomials of lattice simplices with small volumes2023
- Author(s)
  Akihiro Higashitani
- Organizer
  Combinatorics Seminar at KTH
- Invited
- Data Source
  KAKENHI-PROJECT-21KK0043
[Presentation] 正則マトロイドに付随する反射的多面体とγ非負性2023
- Author(s)
  東谷章弘
- Organizer
  2024年度日本数学会年会
- Data Source
  KAKENHI-PROJECT-20K03513
[Presentation] 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2023
- Author(s)
  東谷章弘、上山健太
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-20K03513
[Presentation] Characterizing h^*-polynomials of lattice simplices with small volumes2023
- Author(s)
  Akihiro Higashitani
- Organizer
  Combinatorics Seminar at St. Louis
- Invited
- Data Source
  KAKENHI-PROJECT-21KK0043
[Presentation] Period collapse in characteristic quasi-polynomials of non-central hyperplane arrangements2023
- Author(s)
  Akihiro Higashitani
- Organizer
  Combinatorics, geometry and commutative algebra of hyperplane arrangements
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03513
[Presentation] 同変Ehrhart理論における効果性予想とそのある種の反例2023
- Author(s)
  東谷章弘
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-20K03513
[Presentation] Difference of Hilbert series of homogeneous affine semigroup ring and its normalization2023
- Author(s)
  東谷章弘
- Organizer
  第44回可換環論シンポジウム
- Data Source
  KAKENHI-PROJECT-20K03513
[Presentation] 正則マトロイドに付随する反射的多面体とγ非負性2023
- Author(s)
  東谷章弘
- Organizer
  応用数学合同研究集会
- Data Source
  KAKENHI-PROJECT-20K03513
[Presentation] 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2023
- Author(s)
  東谷章弘
- Organizer
  2024年度日本数学会年会
- Data Source
  KAKENHI-PROJECT-20K03513
[Presentation] Difference of Hilbert series of homogeneous affine semigroup ring and its normalization2023
- Author(s)
  東谷章弘
- Organizer
  第44回可換環論シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-23H00081
[Presentation] Lattice polytopes with small numbers of facets arising from combinatorial objects2022
- Author(s)
  Akihiro Higashitani
- Organizer
  Mini Symposium on Lattice Polytopes
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03513
[Presentation] Period collapse in characteristic quasi-polynomials of non-central hyperplane arrangements2022
- Author(s)
  Akihiro Higashitani
- Organizer
  Combinatorics, geometry and commutative algebra of hyperplane arrangements
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21KK0043
[Presentation] Introduction to toric rings arising from combinatorial objects2022
- Author(s)
  Akihiro Higashitani
- Organizer
  Osnabruck Colloquium
- Invited
- Data Source
  KAKENHI-PROJECT-21KK0043
[Presentation] グラスマン多様体のmatching field による２つのトーリック退化の組合せ的変異同値性2022
- Author(s)
  東谷章弘
- Organizer
  日本数学会秋季分科会
- Data Source
  KAKENHI-PROJECT-20K03513
[Presentation] 12点定理とその一般化について（パート２）2022
- Author(s)
  東谷章弘
- Organizer
  JCCA2022
- Data Source
  KAKENHI-PROJECT-20K03513
[Presentation] グラスマン多様体のトーリック退化とSAGBI基底2022
- Author(s)
  東谷章弘
- Organizer
  可換環論の新しい融合セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K03513
[Presentation] 組合せ論的対象に付随する様々な可換環2022
- Author(s)
  東谷章弘
- Organizer
  2022年度日本数学会年会（企画特別講演）
- Invited
- Data Source
  KAKENHI-PROJECT-20K03513
[Presentation] グラフのスイッチングと付随する単体的複体による(±1) 歪多項式環の分類2022
- Author(s)
  東谷章弘、上山健太
- Organizer
  日本数学会秋季分科会
- Data Source
  KAKENHI-PROJECT-20K03513
[Presentation] 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2021
- Author(s)
  東谷章弘、大杉英史
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-20K03513
[Presentation] Combinatorial mutation equivalence of poset polytopes2021
- Author(s)
  Akihiro Higashitani
- Organizer
  AMS Western Sectional Meeting
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03513
[Presentation] 隣接行列のternary rankについて2021
- Author(s)
  東谷章弘
- Organizer
  応用数学合同研究集会
- Data Source
  KAKENHI-PROJECT-20K03513
[Presentation] Introduction to combinatorial mutations of polytopes and its applications2021
- Author(s)
  Akihiro Higashitani
- Organizer
  Combinatorics on Flag Varieties and Related Topics 2021
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03513
[Presentation] 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2021
- Author(s)
  東谷章弘、大杉英史
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-18H01134
[Presentation] 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2021
- Author(s)
  東谷章弘、松下光虹
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-20K03513
[Presentation] 旗多様体の Newton?Okounkov 凸体と組合せ的変異2020
- Author(s)
  藤田直樹、東谷章弘
- Organizer
  日本数学会秋季分科会
- Data Source
  KAKENHI-PROJECT-20K03513
[Presentation] 半順序集合に付随する２つの凸多面体と組合せ的変異2020
- Author(s)
  東谷章弘
- Organizer
  日本数学会秋季分科会
- Data Source
  KAKENHI-PROJECT-20K03513
[Presentation] Newton-Okounkov bodies of flag varieties and combinatorial mutations2020
- Author(s)
  Akihiro Higashitani
- Organizer
  The McKay correspondence, mutation and related topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03513
[Presentation] トーリックFano多様体のコホモロジー剛性問題2019
- Author(s)
  東谷章弘
- Organizer
  日本数学会秋季分科会
- Data Source
  KAKENHI-PROJECT-17K14177
[Presentation] Del Pezzo曲面の分類とFano凸多角形のsingularity content2019
- Author(s)
  東谷章弘
- Organizer
  日本数学会秋季分科会
- Data Source
  KAKENHI-PROJECT-17K14177
[Presentation] Mutation of Fano polygons and singularity contents2019
- Author(s)
  Akihiro Higashitani
- Organizer
  Special Geometry-Combinatorics seminar
- Invited
- Data Source
  KAKENHI-PROJECT-17K14177
[Presentation] Reflexive polytopes arising from finite graphs and the unimodality of $h^*$-vectors2019
- Author(s)
  東谷章弘
- Organizer
  第36回代数的組合せ論シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-17K14177
[Presentation] 有限グラフに付随する反射的凸多面体の$\delta$列について2018
- Author(s)
  東谷章弘
- Organizer
  応用数学合同研究集会
- Data Source
  KAKENHI-PROJECT-17K14177
[Presentation] Characterization problem on Ehrhart polynomials of lattice polytopes2018
- Author(s)
  Akihiro Higashitani
- Organizer
  AlgebraGeometryCombinatorics Seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01134
[Presentation] 有限グラフに付随する反射的凸多面体のδ列について2018
- Author(s)
  東谷章弘
- Organizer
  応用数学合同研究集会
- Data Source
  KAKENHI-PROJECT-18H01134
[Presentation] Characterization problem on Ehrhart polynomials of lattice polytopes2018
- Author(s)
  東谷章弘
- Organizer
  Hakata Workshop;Winter Meeting 2018
- Invited
- Data Source
  KAKENHI-PROJECT-17K14177
[Presentation] Regular unimodular triangulations of dilated empty simplices and Grobner basis2018
- Author(s)
  Akihiro Higashitani
- Organizer
  JCCA 2018
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01134
[Presentation] Characterization problem on Ehrhart polynomials of lattice polytopes2018
- Author(s)
  Akihiro Higashitani
- Organizer
  AlgebraGeometryCombinatorics Seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14177
[Presentation] Regular unimodular triangulations of dilated empty simplices and Grobner basis2018
- Author(s)
  Akihiro Higashitani
- Organizer
  JCCA 2018
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14177
[Presentation] 格子の分類と整単体の分類2017
- Author(s)
  東谷章弘
- Organizer
  広島組合せ論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K14177
[Presentation] Characterizations for the h^*-vectors of lattice polytopes2017
- Author(s)
  Akihiro Higashitani
- Organizer
  Interactions with Lattice Polytopes
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14177
[Presentation] 格子凸多面体論のこれまでとこれから2017
- Author(s)
  東谷章弘
- Organizer
  日本数学会年会
- Place of Presentation
  首都大学東京（東京都・八王子市）
- Year and Date
  2017-03-24
- Invited
- Data Source
  KAKENHI-PROJECT-26800015
[Presentation] 次数が小さい性単体の分類2016
- Author(s)
  東谷章弘
- Organizer
  日本数学会秋季分科会
- Place of Presentation
  関西大学（大阪府・吹田市）
- Year and Date
  2016-09-15
- Data Source
  KAKENHI-PROJECT-26800015
[Presentation] 整単体の分類と二元シンプレックス符号2016
- Author(s)
  東谷章弘
- Organizer
  日本数学会年会
- Place of Presentation
  筑波大学（茨城県・つくば市）
- Year and Date
  2016-03-16
- Data Source
  KAKENHI-PROJECT-26800015
[Presentation] Almost Gorenstein標準的次数付き環とそのh列2016
- Author(s)
  東谷章弘
- Organizer
  日本数学会年会
- Place of Presentation
  筑波大学（茨城県・つくば市）
- Year and Date
  2016-03-16
- Data Source
  KAKENHI-PROJECT-26800015
[Presentation] Non-level semi-standard graded Cohen-Macaulay domains with h-vectors (h_0,h_1,h_2)2016
- Author(s)
  東谷章弘
- Organizer
  日本数学会秋季分科会
- Place of Presentation
  関西大学（大阪府・吹田市）
- Year and Date
  2016-09-15
- Data Source
  KAKENHI-PROJECT-26800015
[Presentation] Lattice simplices of maximal dimension with a given degree2016
- Author(s)
  Akihiro Higashitani
- Organizer
  Einstein Workshop on lattice polytopes
- Place of Presentation
  Freie Universitat Berlin（ドイツ・ベルリン）
- Year and Date
  2016-12-12
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800015
[Presentation] Ehrhart多項式とEhrhart環2015
- Author(s)
  東谷章弘
- Organizer
  第６０回代数学シンポジウム
- Place of Presentation
  静岡大学（静岡県・静岡市）
- Year and Date
  2015-08-31
- Invited
- Data Source
  KAKENHI-PROJECT-26800015
[Presentation] 対称δ三項式の特徴付け
- Author(s)
  東谷章弘
- Organizer
  日本数学会年会
- Place of Presentation
  明治大学
- Year and Date
  2015-03-21 – 2015-03-24
- Data Source
  KAKENHI-PROJECT-26800015
[Presentation] ５次元トーリックFano多様体の同値類とその高次元化
- Author(s)
  東谷章弘
- Organizer
  日本数学会秋季分科会
- Place of Presentation
  広島大学
- Year and Date
  2014-09-25 – 2014-09-28
- Data Source
  KAKENHI-PROJECT-26800015
[Presentation] Squarefreeイニシャルイデアルを持つ(0,1)凸多面体のファセット
- Author(s)
  東谷章弘
- Organizer
  日本数学会秋季分科会
- Place of Presentation
  広島大学
- Year and Date
  2014-09-25 – 2014-09-28
- Data Source
  KAKENHI-PROJECT-26800015
[Presentation] δ列のunimodal性と関連する二つの性質
- Author(s)
  東谷章弘
- Organizer
  日本数学会年会
- Place of Presentation
  明治大学
- Year and Date
  2015-03-21 – 2015-03-24
- Data Source
  KAKENHI-PROJECT-26800015

1. Ohsugi Hidefumi (80350289)

# of Collaborated Projects: 3 results

# of Collaborated Products: 3 results
2. 土谷昭善 (30836953)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. 藤田直樹 (40866357)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. 吉永正彦 (90467647)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. 沼田泰英 (00455685)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. 島田伊知朗 (10235616)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. 石川昌治 (10361784)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. 徳永浩雄 (30211395)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. 阿部拓郎 (50435971)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. 辻栄周平 (60755099)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. 中嶋祐介

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results
12. 上山健太

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Higashitani Akihiro 東谷 章弘

HIGASHITANI Akihiro 東谷 章弘

Research Projects

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Co-Researchers

Study of toric degenerations of flag varieties from viewpoints of combinatorial mutationsPrincipal Investigator

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Construction of a unified theory for toric rings of lattice polytopes arising from combinatorial objects

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Discrete structures related to hyperplane arrangements, generalization, deepening, and applications

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Challenge towards the open problems in the theory of lattice polytopes by algebraic and combinatorial methodsPrincipal Investigator

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Solutions of problems related to lattice polytopes via combinatorial mutationsPrincipal Investigator

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Development of new methods in the theory of convex polytopes by combining new concepts of discrete geometry and the theory of Groebner bases

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Analysis of Cayley decomposition of integral convex polytopes and solutions of related problemsPrincipal Investigator

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Study of delta-vectors of normal integral convex polytopes by means of algebraic and combinatorial methodsPrincipal Investigator

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[Book] 鏡映の数学 -有限鏡映群の幾何学-2015

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[Book] グレブナー教室 -計算代数統計への招待-2015

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[Journal Article] Feedback game on 3-chromatic Eulerian triangulations of surfaces2024

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[Journal Article] Difference of Hilbert series of homogeneous monoid algebras and their normalizations2024

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[Journal Article] Combinatorial mutations of Gelfand-Tsetlin polytopes, Feigin-Fourier-Littelmann-Vinberg polytopes, and block diagonal matching field polytopes2024

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[Journal Article] The h-vectors of the edge rings of a special family of graphs2023

Author(s)

Higashitani Akihiro 東谷章弘

HIGASHITANI Akihiro 東谷章弘