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Higashitani Akihiro
東谷　章弘
Higashitani Akihiro
東谷　章弘
Institutional repository
Graduate School of Information Science and Technology　Department of Pure and Applied Mathematics, Associate Professor
Institutional repository

Research History 5

  1. 2019/04 - Present
    Osaka University　Graduate School of Information Science and Technology, Department of Pure and Applied Mathematcs　Assoiate Professor

  2. 2017/04 - 2019/03
    Kyoto Sangyo University　Faculty of Science, Department of Mathematics　Assoiate Professor

  3. 2015/04 - 2017/03
    Kyoto Sangyo University　Faculty of Science, Department of Mathematics　Assistant Professor

  4. 2014/04 - 2015/03
    Kyoto University　Graduate School of Science, Department of Mathematcs　Postdoctoral Fellow (SPD)

  5. 2012/10 - 2014/03
    Osaka University　Graduate School of Information Science and Technology, Department of Pure and Applied Mathematcs　Postdoctoral Fellow (PD)

Education 2

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

    2009/04 - 2012/09

  2. Osaka University　Faculty of Science　Department of Mathematics

    2005/04 - 2009/03

Professional Memberships 1

  1. 日本数学会

Research Areas 1

  1. Natural sciences / Algebra /

Awards 2

  1. 日本数学会建部賢弘奨励賞

    日本数学会　2012/09

  2. Award of the Graduate School of Information Science and Technology of Osaka University

    HIGASHITANI AKIHIRO　Osaka University, Graduate School of Information Science and Technology　2011/03

Papers 74

  1. Ehrhart quasi-polynomials and parallel translations

    Akihiro Higashitani, Satoshi Murai, Masahiko Yoshinaga

    Combinatorial Theory　Vol. 5　No. 1　2025/03/14　Research paper (scientific journal)

    Publisher: California Digital Library (CDL)

  2. Non-finitely generated monoids corresponding to finitely generated homogeneous subalgebras

    Akihiro Higashitani, Koichiro Tani

    Journal of Pure and Applied Algebra　Vol. 229　No. 1　p. 107854-107854　2025/01　Research paper (scientific journal)

    Publisher: Elsevier BV

  3. Examples and counterexamples in Ehrhart theory

    Luis Ferroni, Akihiro Higashitani

    EMS Surveys in Mathematical Sciences　2024/09/17　Research paper (scientific journal)

    Publisher: European Mathematical Society - EMS - Publishing House GmbH

  4. The h-vectors of edge rings of odd cycle compositions

    Kieran Bhaskara, Akihiro Higashitani, Nayana Shibu Deepthi

    Journal of Algebra and Its Applications　2024/09/10　Research paper (scientific journal)

    Publisher: World Scientific Pub Co Pte Ltd

  5. Newton–Okounkov Polytopes of Type $$A$$ Flag Varieties of Small Ranks Arising from Cluster Structures

    Yunhyung Cho, Naoki Fujita, Akihiro Higashitani, Eunjeong Lee

    Proceedings of the Steklov Institute of Mathematics　Vol. 326　No. 1　p. 352-366　2024/09　Research paper (scientific journal)

    Publisher: Pleiades Publishing Ltd

  6. Generalized Alexander quandles of finite groups and their characterizations

    Akihiro Higashitani, Hirotake Kurihara

    European Journal of Mathematics　Vol. 10　No. 3　2024/07/09　Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC

  7. Feedback game on 3-chromatic Eulerian triangulations of surfaces

    Akihiro Higashitani, Kazuki Kurimoto, Naoki Matsumoto

    Discrete Applied Mathematics　Vol. 347　p. 30-38　2024/04　Research paper (scientific journal)

    Publisher: Elsevier BV

  8. Difference of Hilbert series of homogeneous monoid algebras and their normalizations

    Akihiro Higashitani

    Semigroup Forum　Vol. 108　p. 101-114　2024/03/11　Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC

  9. Combinatorial Mutations of Gelfand–Tsetlin Polytopes, Feigin–Fourier–Littelmann–Vinberg Polytopes, and Block Diagonal Matching Field Polytopes

    Oliver Clarke, Akihiro Higashitani, Fatemeh Mohammadi

    Journal of Pure and Applied Algebra　Vol. 228　No. 7　p. 107637-107637　2024/02　Research paper (scientific journal)

    Publisher: Elsevier BV

  10. Adjacency matrices over a finite prime field and their direct sum decompositions

    Akihiro Higashitani, Yuya Sugishita

    Linear Algebra and its Applications　Vol. 677　No. 15　p. 306-322　2023/11　Research paper (scientific journal)

    Publisher: Elsevier BV

  11. The Distribution of Roots of Ehrhart Polynomials for the Dual of Root Polytopes of Type C

    Akihiro Higashitani, Yumi Yamada

    Graphs and Combinatorics　Vol. 39　No. 4　2023/07/08　Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC

  12. The h -vectors of the edge rings of a special family of graphs

    Akihiro Higashitani, Nayana Shibu Deepthi

    Communications in Algebra　Vol. 51　No. 12　p. 5287-5296　2023/07/03　Research paper (scientific journal)

    Publisher: Informa UK Limited

  13. The equivariant Ehrhart theory of polytopes with order-two symmetries

    Oliver Clarke, Akihiro Higashitani, Max Kölbl

    Proceedings of the American Mathematical Society　Vol. 151　No. 9　p. 4027-4041　2023/06/06　Research paper (scientific journal)

    Publisher: American Mathematical Society (AMS)

  14. The ratio of the numbers of odd and even cycles in outerplanar graphs

    Akihiro Higashitani, Naoki Matsumoto

    Discrete Mathematics　Vol. 346　No. 4　p. 113285-113285　2023/04　Research paper (scientific journal)

    Publisher: Elsevier BV

  15. Behaviors of pairs of dimensions and depths of edge ideals

    Akihiro Higashitani, Akane Kanno, Ryota Ueji

    Communications in Algebra　Vol. 51　No. 8　p. 3574-3584　2023/03/15　Research paper (scientific journal)

    Publisher: Informa UK Limited

  16. Combinatorial classification of (±1)-skew projective spaces

    Akihiro Higashitani, Kenta Ueyama

    The Quarterly Journal of Mathematics　Vol. 74　No. 3　p. 939-956　2023/03/06　Research paper (scientific journal)

    Publisher: Oxford University Press (OUP)

  17. Homogeneous quandles arising from automorphisms of symmetric groups

    Akihiro Higashitani, Hirotake Kurihara

    Communications in Algebra　Vol. 51　No. 4　p. 1413-1430　2023/02/28　Research paper (scientific journal)

    Publisher: Informa UK Limited

  18. Kempe equivalence of almost bipartite graphs

    Akihiro Higashitani, Naoki Matsumoto

    The Australasian Journal of Combinatorics　Vol. 87　No. 1　p. 203-213　2023　Research paper (scientific journal)

  19. Three families of toric rings arising from posets or graphs with small class groups

    Akihiro Higashitani, Koji Matsushita

    Journal of Pure and Applied Algebra　Vol. 226　No. 10　p. 107079-107079　2022/10　Research paper (scientific journal)

    Publisher: Elsevier BV

  20. The Root Distributions of Ehrhart Polynomials of Free Sums of Reflexive Polytopes

    Masahiro Hachimori, Akihiro Higashitani, Yumi Yamada

    The Electronic Journal of Combinatorics　Vol. 29　No. 3　2022/07/29　Research paper (scientific journal)

    Publisher: The Electronic Journal of Combinatorics

  21. Cohomological rigidity for Fano Bott manifolds

    Akihiro Higashitani, Kazuki Kurimoto

    Mathematische Zeitschrift　Vol. 301　No. 3　p. 2369-2391　2022/07　Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC

  22. Inequalities of invariants on Stanley–Reisner rings of Cohen–Macaulay simplicial complexes

    Akihiro Higashitani, Hiroju Kanno, Kazunori Matsuda

    Journal of Pure and Applied Algebra　Vol. 226　No. 7　p. 106888-106888　2022/07　Research paper (scientific journal)

    Publisher: Elsevier BV

  23. The Characterisation Problem of Ehrhart Polynomials of Lattice Polytopes

    Akihiro Higashitani

    Springer Proceedings in Mathematics & Statistics　p. 181-195　2022/06　Part of collection (book)

    Publisher: Springer International Publishing

  24. Period Collapse in Characteristic Quasi-Polynomials of Hyperplane Arrangements

    Akihiro Higashitani, Tan Nhat Tran, Masahiko Yoshinaga

    International Mathematics Research Notices　2022/05/09　Research paper (scientific journal)

    Publisher: Oxford University Press (OUP)

  25. Deformations of Dimer Models

    Akihiro Higashitani, Yusuke Nakajima

    Symmetry, Integrability and Geometry: Methods and Applications　Vol. 18　2022/04/16　Research paper (scientific journal)

    Publisher: SIGMA (Symmetry, Integrability and Geometry: Methods and Application)

  26. Conic divisorial ideals and non-commutative crepant resolutions of edge rings of complete multipartite graphs

    Akihiro Higashitani, Koji Matsushita

    Journal of Algebra　Vol. 594　p. 685-711　2022/03　Research paper (scientific journal)

  27. Combinatorial mutations of Newton-Okounkov polytopes arising from plabic graphs

    Akihiro Higashitani, Yusuke Nakajima

    Advanced Studies in Pure Mathematics　Vol. 88　p. 227-278　2022/02　Research paper (international conference proceedings)

  28. Quadratic Gr\"obner bases of block diagonal matching field ideals and toric degenerations of Grassmannians

    Akihiro Higashitani, Hidefumi Ohsugi

    J. Pure Appl. Algebra　Vol. 226　No. 2　p. 1-14　2022/02　Research paper (scientific journal)

  29. Cohomological rigidity for toric Fano manifolds of small dimensions or large Picard numbers

    Akihiro Higashitani, Kazuki Kurimoto, Mikiya Masuda

    Osaka Journal of Mathematics　Vol. 59　No. 1　p. 177-215　2022/01　Research paper (scientific journal)

  30. Combinatorial study of stable categories of graded Cohen-Macauly modules over skew quadric hypersufaces

    Akihiro Higashitani, Kenta Ueyama

    Collect. Math.　Vol. 73　No. 1　p. 43-54　2022　Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC

  31. Levelness versus almost Gorensteinness of edge rings of complete multipartite graphs

    Akihiro Higashitani, Koji Matsushita

    Communications in Algebra　Vol. 50　No. 6　p. 2637-2652　2021/12/20　Research paper (scientific journal)

    Publisher: Informa UK Limited

  32. Gorenstein polytopes with trinomial $h^*$-polynomials

    Akihiro Higashitani, Benjamin Nill, Akiyoshi Tsuchiya

    Beiträge zur Algebra und Geometrie, to appear　Vol. 62　p. 667-685　2021/09　Research paper (scientific journal)

  33. Newton-Okounkov bodies of flag varieties and combinatorial mutations

    Naoki Fujita, Akihiro Higashitani

    Int. Math. Res. Not.　No. 12　p. 9567-9607　2021/06　Research paper (scientific journal)

  34. Generalized F-signatures of Hibi rings

    Akihiro Higashitani, Yusuke Nakajima

    Illinois J. Math.　Vol. 65　No. 1　p. 97-120　2021/04　Research paper (scientific journal)

  35. Combinatorial mutations and block diagonal polytopes

    Oliver Clarke, Akihiro Higashitani, Fatemeh Mohammadi

    Collectanea Mathematica　Vol. 73　p. 305-335　2021/03/25　Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC

  36. Winding Number of r-modular sequences and Applications to the Singularity Content of a Fano Polygon

    Daniel Cavey, Akihiro Higashitani

    Tohoku Math. J.　Vol. 73　No. 1　p. 137-158　2021/03　Research paper (scientific journal)

  37. Universal conditions on h*-vectors of lattice simplices

    Akihiro Higashitani

    Journal of Geometry　Vol. 112　No. 1　p. 1-9　2021/01　Research paper (scientific journal)

  38. Feedback game on 3-chromatic Eulerian triangulations of surfaces.

    Akihiro Higashitani, Kazuki Kurimoto, Naoki Matsumoto

    CoRR　Vol. abs/2002.10679　2020　Research paper (scientific journal)

  39. Toric ideals of Minkowski sums of unit simplices

    Akihiro Higashitani, Hidefumi Ohsugi

    Algebraic Combinatorics　Vol. 3　No. 4　p. 831-837　2020　Research paper (scientific journal)

    Publisher: Cellule MathDoc/CEDRAM

  40. Conic divisorial ideals of Hibi rings and their applications to non-commutative crepant resolutions

    Akihiro Higashitani, Yusuke Nakajima

    Selecta Math. (N.S.)　Vol. 25　No. 78　2019/12　Research paper (scientific journal)

  41. Distribution of accumulation points of roots for type (n-1,1) Coxeter groups

    Akihiro Higashitani, Ryosuke Mineyama, Norihiro Nakashima

    Nagoya Math. J.　Vol. 235　p. 125-157　2019/09　Research paper (scientific journal)

  42. Smooth centrally symmetric polytopes in dimension 3 are IDP

    Matthias Beck, Christian Haase, Akihiro Higashitani, Johannes Hofscheier, Katharina Jochemko, Lukas Katthän, Mateusz Michalek

    Ann. Comb.　Vol. 23　p. 255-262　2019

  43. Permutations with small maximal k-consecutive sums

    Akihiro Higashitani, Kazuki Kurimoto

    Discrete Math.　Vol. 342　p. 2467-2481　2019　Research paper (scientific journal)

  44. Arithmetic Aspects of symmetric edge polytopes

    Akihiro Higashitani, Katharina Jochemko, Mateusz Michalek

    Mathematika　Vol. 65　p. 763-784　2019　Research paper (scientific journal)

  45. Unimodality on $\delta$-vectors of lattice polytopes and two related properties

    Akihiro Higashitani

    European J. Math.　Vol. 5　No. 2　p. 333-355　2019　Research paper (scientific journal)

  46. Lattice simplices of maximal dimension with a given degree

    Akihiro Higashitani

    Michigan Math. J.　Vol. 68　p. 193-210　2019

  47. Ehrhart Polynomial Roots of Reflexive Polytopes

    Gabor Hegedus, Akihiro Higashitani, Alexander Kasprzyk

    Electron. J. Combin.　Vol. 26　p. 1-27　2019

  48. Ehrhart polynomials with negative coefficients

    Takayuki Hibi, Akihiro Higashitani, Akiyoshi Tsuchiya, Koutarou Yoshida

    Graphs and Comb.　Vol. 35　p. 363-371　2019

  49. A necessary condition for an edge ring to satisfy Serre's condition $(S_2)$

    Akihiro Higashitani, Kyouko Kimura

    Advanced Studies in Pure Mathematics　Vol. 77　p. 121-128　2018/08

  50. Universal inequalities in Ehrhart Theory

    Gabriele Balletti, Akihiro Higashitani

    Israel J. Math.　Vol. 227　p. 843-859　2018

  51. Existence of regular unimodular triangulations of dilated empty simplices

    Takayuki Hibi, Akihiro Higashitani, Koutarou Yoshida

    European J. Combin.　Vol. 70　p. 374-383　2018

  52. Non-level semi-standard graded Cohen-Macaulay domain with h-vector (h(0), h(1), h(2))

    Akihiro Higashitani, Kohji Yanagawa

    JOURNAL OF PURE AND APPLIED ALGEBRA　Vol. 222　No. 1　p. 191-201　2018/01　Research paper (scientific journal)

  53. Lattice multipolygons

    Akihiro Higashitani, Mikiya Masuda

    KYOTO JOURNAL OF MATHEMATICS　Vol. 57　No. 4　p. 807-828　2017/12　Research paper (scientific journal)

  54. Interlacing Ehrhart polynomials of reflexive polytopes

    Akihiro Higashitani, Mario Kummer, Mateusz Michalek

    SELECTA MATHEMATICA-NEW SERIES　Vol. 23　No. 4　p. 2977-2998　2017/10　Research paper (scientific journal)

  55. Integer Decomposition Property of Free Sums of Convex Polytopes

    Takayuki Hibi, Akihiro Higashitani

    ANNALS OF COMBINATORICS　Vol. 20　No. 3　p. 601-607　2016/09　Research paper (scientific journal)

  56. Minkowski sum of polytopes and its normality

    Akihiro Higashitani

    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN　Vol. 68　No. 3　p. 1147-1159　2016/07　Research paper (scientific journal)

  57. Almost Gorenstein homogeneous rings and their h-vectors

    Akihiro Higashitani

    JOURNAL OF ALGEBRA　Vol. 456　p. 190-206　2016/06　Research paper (scientific journal)

  58. Dominating induced matchings of finite graphs and regularity of edge ideals

    Takayuki Hibi, Akihiro Higashitani, Kyouko Kimura, Akiyoshi Tsuchiya

    JOURNAL OF ALGEBRAIC COMBINATORICS　Vol. 43　No. 1　p. 173-198　2016/02　Research paper (scientific journal)

  59. Smooth Fano polytopes arising from finite directed graphs

    Akihiro Higashitani

    KYOTO JOURNAL OF MATHEMATICS　Vol. 55　No. 3　p. 579-592　2015/09　Research paper (scientific journal)

  60. Algebraic study on Cameron-Walker graphs

    Takayuki Hibi, Akihiro Higashitani, Kyouko Kimura, Augustine B. O'Keefe

    JOURNAL OF ALGEBRA　Vol. 422　p. 257-269　2015/01　Research paper (scientific journal)

  61. TORIC RINGS ARISING FROM CYCLIC POLYTOPES

    Takayuki Hibi, Akihiro Higashitani, Lukas Katthaen, Ryota Okazaki

    COMMUNICATIONS IN ALGEBRA　Vol. 43　No. 2　p. 778-794　2015　Research paper (scientific journal)

  62. Integer decomposition property of dilated polytopes

    David A. Cox, Christian Haase, Takayuki Hibi, Akihiro Higashitani

    ELECTRONIC JOURNAL OF COMBINATORICS　Vol. 21　No. 4　p. 1-17　2014/11　Research paper (scientific journal)

  63. DEPTH OF INITIAL IDEALS OF NORMAL EDGE RINGS

    Takayuki Hibi, Akihiro Higashitani, Kyouko Kimura, Augustine B. O'keefe

    COMMUNICATIONS IN ALGEBRA　Vol. 42　No. 7　p. 2908-2922　2014/07　Research paper (scientific journal)

  64. Non-normal very ample polytopes and their holes

    Akihiro Higashitani

    ELECTRONIC JOURNAL OF COMBINATORICS　Vol. 21　No. 1　p. 1-12　2014/03　Research paper (scientific journal)

  65. NORMAL CYCLIC POLYTOPES AND CYCLIC POLYTOPES THAT ARE NOT VERY AMPLE

    Takayuki Hibi, Akihiro Higashitani, Lukas Katthaen, Ryota Okazaki

    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY　Vol. 96　No. 1　p. 61-77　2014/02　Research paper (scientific journal)

  66. Ehrhart polynomials of integral simplices with prime volumes

    Akihiro Higashitani

    INTEGERS　Vol. 14　p. 1-15　2014

  67. Hermite normal forms and delta-vectors

    Takayuki Hibi, Akihiro Higashitani, Nan Li

    JOURNAL OF COMBINATORIAL THEORY SERIES A　Vol. 119　No. 6　p. 1158-1173　2012/08　Research paper (scientific journal)

  68. Counterexamples of the Conjecture on Roots of Ehrhart Polynomials

    Akihiro Higashitani

    DISCRETE & COMPUTATIONAL GEOMETRY　Vol. 47　No. 3　p. 618-623　2012/04　Research paper (scientific journal)

  69. Roots of Ehrhart polynomials arising from graphs

    Tetsushi Matsui, Akihiro Higashitani, Yuuki Nagazawa, Hidefumi Ohsugi, Takayuki Hibi

    JOURNAL OF ALGEBRAIC COMBINATORICS　Vol. 34　No. 4　p. 721-749　2011/12　Research paper (scientific journal)

  70. DEPTH OF EDGE RINGS ARISING FROM FINITE GRAPHS

    Takayuki Hibi, Akihiro Higashitani, Kyouko Kimura, Augustine B. O'Keefe

    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY　Vol. 139　No. 11　p. 3807-3813　2011/11　Research paper (scientific journal)

  71. ROOTS OF EHRHART POLYNOMIALS OF GORENSTEIN FANO POLYTOPES

    Takayuki Hibi, Akihiro Higashitani, Hidefumi Ohsugi

    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY　Vol. 139　No. 10　p. 3727-3734　2011/10　Research paper (scientific journal)

  72. Smooth Fano Polytopes Arising from Finite Partially Ordered Sets

    Takayuki Hibi, Akihiro Higashitani

    DISCRETE & COMPUTATIONAL GEOMETRY　Vol. 45　No. 3　p. 449-461　2011/04　Research paper (scientific journal)

  73. Ehrhart polynomials of convex polytopes with small volumes

    Takayuki Hibi, Akihiro Higashitani, Yuuki Nagazawa

    EUROPEAN JOURNAL OF COMBINATORICS　Vol. 32　No. 2　p. 226-232　2011/02　Research paper (scientific journal)

  74. Shifted symmetric delta-vectors of convex polytopes

    Akihiro Higashitani

    DISCRETE MATHEMATICS　Vol. 310　No. 21　p. 2925-2934　2010/11　Research paper (scientific journal)

Misc. 3

  1. Ehrhart polynomials of polytopes and orthogonal polynomial systems (Designs, Codes, Graphs and Related Areas)

    Higashitani Akihiro

    RIMS Kokyuroku　Vol. 1889　p. 74-83　2014/04

    Publisher: Kyoto University

  2. Non-normal very ample integral polytopes

    Higashitani Akihiro

    Vol. 2012　p. 123-123　2013/02

    Publisher: Department of Mathematics, Hokkaido University

  3. On the depth of edge rings

    日比 孝之, 東谷 章弘, 木村 杏子, Augustine, B. O'Keefe

    Vol. 1769　p. 83-89　2011/10/01

Publications 2

  1. 鏡映の数学 -有限鏡映群の幾何学-

    小林雅人, 陶山大輔, 塚本靖之, 中島規博, 東谷章弘, 嶺山良介

    丸善出版　2015/08

  2. グレブナー教室 -計算代数統計への招待-

    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, 東谷は, 章を担当

    共立出版　2015/07

Presentations 62

  1. 完全二部グラフに付随する二項式エッジ環について

    東谷章弘

    日本数学会年会　2025/03/21

  2. 歪対称行列のスイッチング同値類とmodular Eulerian行列

    東谷章弘

    日本数学会年会　2025/03/18

  3. Binomial edge rings

    2025/02/05

  4. Classification of generalized Alexander quandles

    2025/01/08

  5. 歪多項式環の次数付き加群圏と行列のスイッチング同値

    東谷章弘

    第2回環論表現論ワークショップ in 信州　2024/12/27

  6. Equivariant Ehrhart theory and equivariant $\gamma$-nonnegativity

    2024/11/23

  7. Difference of Hilbert series of homogeneous monoid algebras and their normalizations

    Akihiro Higashitani

    2024/06/24

  8. 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

    東谷章弘

    日本数学会年会　2024/03/17

  9. 正則マトロイドに付随する反射的多面体とγ非負性

    東谷章弘

    日本数学会年会　2024/03/17

  10. 超平面配置の特性準多項式の周期崩壊

    東谷章弘

    離散構造における多項式不変量の研究　2023/06/22

  11. 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

    東谷章弘

    日本数学会年会　2023/03/15

  12. 同変Ehrhart理論における効果性予想とそのある種の反例

    東谷章弘

    日本数学会年会　2023/03/15

  13. Period collapse in characteristic quasi-polynomials of non-central hyperplane arrangements

    Akihiro Higashitani

    Combinatorics, geometry and commutative algebra of hyperplane arrangements　2023/01/19

  14. 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

    東谷章弘

    日本数学会秋季分科会　2022/09/15

  15. 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

    東谷章弘

    日本数学会秋季分科会　2022/09/14

  16. Introduction to toric rings arising from combinatorial objects

    Akihiro Higashitani

    Osnabrück Colloquium　2022/05/18

  17. 組合せ論的対象に付随する様々な可換環

    東谷章弘

    日本数学会年会　2022/03/31

  18. Lattice polytopes with small numbers of facets arising from combinatorial objects

    Akihiro Higashitani

    Mini Symposium on Lattice Polytopes　2022/03/04

  19. グラスマン多様体のトーリック退化とSAGBI基底

    東谷章弘

    可換環論の新しい融合セミナー　2022/01/12

  20. Universal inequalities for h^*-vectors of lattice polytopes

    Akihiro Higashitani

    KTH Combinatorics Seminar　2021/09/15

  21. Combinatorial mutation equivalence of poset polytopes

    Akihiro Higashitani

    AMS Western Sectional Meeting　2021/05/01

  22. 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

    東谷章弘, 大杉英史

    日本数学会2021年度年会　2021/03/15

  23. 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

    東谷章弘, 松下光虹

    日本数学会2021年度年会　2021/03/15

  24. Introduction to combinatorial mutations of polytopes and its applications

    Akihiro Higashitani

    Combinatorics on Flag Varieties and Related Topics 2021　2021/01/27

  25. Newton-Okounkov bodies of flag varieties and combinatorial mutations

    Akihiro Higashitani

    The McKay correspondence, mutation and related topics　2020/08/14

  26. Introduction to combinatorial mutation and its application

    東谷章弘

    代数・解析・幾何セミナー　2020/02/12

  27. Introduction to Stanley-Reisner ideals and its application to noncommutative algebraic geometry I, II

    東谷章弘

    第25回静岡代数学セミナー　2019/12/13

  28. Del Pezzo曲面の分類とFano凸多角形のsingularity content

    東谷 章弘

    日本数学会2019年度秋季分科会　2019/09/20

  29. トーリックFano多様体のコホモロジー剛性問題

    東谷 章弘

    日本数学会2019年度秋季分科会　2019/09/20

  30. Mutation of Fano polygons and singularity contents

    東谷 章弘

    Special Geometry-Combinatorics seminar　2019/08/08

  31. Reflexive polytopes arising from finite graphs and the unimodality of $h^*$-vectors

    東谷 章弘

    第36回代数的組合せ論シンポジウム　2019/06/18

  32. Mutation of Fano polygons and singularity contents

    東谷 章弘

    大阪大学代数幾何学セミナー　2019/04/22

  33. Characterization problem on Ehrhart polynomials of lattice polytopes

    東谷 章弘

    AlgebraGeometryCombinatorics Seminar　2018/09/19

  34. 高次元版ピックの公式について～エルハート理論への誘い～

    東谷 章弘

    北九州数理科学セミナー　2018/07/20

  35. Finding a new universal condition in Ehrhart theory

    東谷 章弘

    Seminar "Facet of Complexity"　2018/07/05

  36. 有限群の自己同型に付随するカンドルの構造について

    東谷 章弘

    変換群論における幾何・代数・組み合わせ論　2018/06/07

  37. 有限群の自己同型に付随するカンドルの構造について

    東谷 章弘

    広島大学トポロジー・幾何セミナー　2018/05/30

  38. Regular unimodular triangulations of dilated empty simplices and Grobner basis

    東谷 章弘

    KTH Combinatorics Seminar　2018/03/28

  39. 膨らませた空単体の正則単模三角形分割の存在

    東谷 章弘

    日本数学会2018年度年会　2018/03/21

  40. 多項式環のSegre積のgeneralized F-signatureについて

    東谷 章弘

    日本数学会2018年度年会　2018/03/21

  41. 格子凸多面体のEhrhart多項式に関する研究の現代的潮流

    東谷 章弘

    第14回組合せ論若手研究集会　2018/03/01

  42. Characterization problem on Ehrhart polynomials of lattice polytopes

    東谷 章弘

    Hakata Workshop: Winter Meeting 2018　2018/02/23

  43. Characterizations for the $h^*$-vectors of lattice polytopes

    東谷 章弘

    Nonlinear Seminar in MPI　2017/12/14

  44. 円周上に並べた１からｎの数のｋ連続和の最大値について

    東谷 章弘

    COMAセミナー　2017/11/10

  45. Characterizations for the $h^*$-vectors of lattice polytopes

    東谷 章弘

    Interactions with Lattice Polytopes　2017/09/14

  46. 格子の分類と整単体の分類

    東谷 章弘

    広島組合せ論セミナー　2017/07/14

  47. 格子多面体論のこれまでとこれから

    東谷 章弘

    日本数学会2017年度年会　2017/03/26

  48. 格子単体の分類と二元符号の分類の関係について

    東谷 章弘

    北九州ワークショップ「幾何学と組合せ論」　2017/03/11

  49. Lattice simplices of maximal dimension with a given degree

    東谷 章弘

    Einstein Workshop on lattice polytopes　2016/12/14

  50. Characterization of lattice polytopes and family of subsets closed under symmetric difference

    東谷 章弘

    有限群・代数的組合せ論・頂点作用素代数の研究　2016/12/05

  51. Cayley decomposition for $(0,1)$-polytopes and its toric ideals

    東谷 章弘

    Binomial Ideals and Algebraic Statistics　2016/10/31

  52. Level property on affine semigroup rings and their $h$-vectors

    東谷 章弘

    Japan-Vietnam Workshop on Commutative Algebra 2016　2016/09/21

  53. Non-level semi-standard graded Cohen-Macaulay domains with $h$-vectors $(h_0, h_1, h_2)$

    東谷 章弘

    日本数学会2016年度秋季分科会　2016/09/16

  54. 次数が小さい整単体の分類

    東谷 章弘

    日本数学会2016年度秋季分科会　2016/09/15

  55. On counterexamples of Cayley conjecture for lattice simplices

    東谷 章弘

    Conference on Commutative Algebra and Convex Polytopes　2016/08/04

  56. 整単体に付随する有限アーベル群と二元線型符号

    東谷 章弘

    COMAセミナー　2016/07/01

  57. 整単体の分類と二元シンプレックス符号

    東谷 章弘

    東北大組合せ論セミナー　2016/05/16

  58. Equivalence classes for smooth Fano polytopes

    東谷 章弘

    九州代数幾何セミナー　2016/04/27

  59. 整単体の分類と二元シンプレックス符号

    東谷 章弘

    日本数学会2016年度年会　2016/03/21

  60. Almost Gorenstein標準的次数付き環とそのh列

    東谷 章弘

    日本数学会2016年度年会　2016/03/21

  61. 整凸多面体のEhrhart多項式と$\delta$列

    東谷 章弘

    山形大学セミナー　2016/03/01

  62. Almost Gorenstein homogeneous domains and their $h$-vectors

    東谷 章弘

    Workshop on Commutative Algebra (Part II, Local algebra and Representation theory)　2016/01/05

Institutional Repository 4

Content Published in the University of Osaka Institutional Repository (OUKA)

  1. Non-finitely generated monoids corresponding to finitely generated homogeneous subalgebras

    Higashitani Akihiro, Tani Koichiro

    Journal of Pure and Applied Algebra　Vol. 229　No. 1　2025/01/01

  2. Difference of Hilbert series of homogeneous monoid algebras and their normalizations

    Higashitani Akihiro

    Semigroup Forum　Vol. 108　No. 1　p. 101-114　2024/03/11

  3. COHOMOLOGICAL RIGIDITY FOR TORIC FANO MANIFOLDS OF SMALL DIMENSIONS OR LARGE PICARD NUMBERS

    Higashitani Akihiro, Kurimoto Kazuki, Masuda Mikiya

    Osaka Journal of Mathematics　Vol. 59　No. 1　p. 177-215　2022/01

  4. Combinatorial and Algebraic Studies on Integral Convex Polytopes

    Higashitani Akihiro