Murai Satoshi 村井聡

… Alternative Names

MURAI Satoshi 村井聡

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Researcher Number	90570804
Other IDs
Affiliation (Current)	2025: 早稲田大学, 教育・総合科学学術院, 教授
Affiliation (based on the past Project Information) *help	2018 – 2025: 早稲田大学, 教育・総合科学学術院, 教授 2018: 早稲田大学, 教育・総合科学学術院, 准教授 2014 – 2017: 大阪大学, 情報科学研究科, 准教授 2014: 大阪大学, 大学院情報科学研究科, 准教授 2013: 山口大学, 理学部, 講師 … More 2013: 山口大学, 理工学研究科, 准教授 2012: 山口大学, 理工学研究科, 講師 2010 – 2011: 山口大学, 大学院・理工学研究科, 講師 Less
Review Section/Research Field	Principal Investigator Algebra / Basic Section 11010:Algebra-related Except Principal Investigator Algebra / Medium-sized Section 11:Algebra, geometry, and related fields / Basic Section 11010:Algebra-related
Keywords	Principal Investigator スタンレー・ライスナー環 / 凸多面体 / 三角形分割 / 単体的複体 / f-列 / 単項式イデアル / 自由分解 / Volume polynomial / Spechtイデアル / graded Betti numbers … More / cover ideal / 頂点彩色 / local h-vector / レフシェッツ性 / 単体分割 / 彩色 / cd index / 次数付ベッチ数 / f列 / cd指数 / h"-列 / 単体的セル分割 / 順序複体 / 単体的セル複体 … More Except Principal Investigator 対数的ベクトル場 / 超平面配置 / 有理Cherednik代数と準不変式 / Sylvester-Gallaiの定理 / 二重点 / 原始微分 / 准不変式環 / 有理Cherednik代数 / Solomon-寺尾代数 / Hessenberg多様体 / 自由配置 / ログ凸性 / 擬幾何学不変量 / Shi配置 / 特性準多項式 / compatibility / 多重コクセター配置 / 制限定理 / free filtration / 除去定理 / 加法定理 / レフシェッツ性 / 斎藤の原始微分 / 自由経路 / 弱コーダルグラフ / SPOG配置 / Castelnouvo-Mumford正則性 / Solomon-寺尾多項式 / グラフ配置 / 表現論 / 組み合わせ論 / 代数幾何学 / 代数学 / ルート系 / シューベルト多様体 / コホモロジー環 / 幾何学的表現論 / ヘッセンベルグ多様体 / Solomon-寺尾代数と多項式 / ゴレンシュタイン性 / Weyl群とWeyl代数 / 完全交差環 / 多重ワイル配置 / Weyl群 / Hodge分解 / 多重自由配置 / 複素鏡映配置 / 強レフシェッツ性 / Dirac-Motzkin予想 / 特異点 / 超可解配置 / 準不変式環 / 多重配置 / Ｓｔａｎｌｅｙ－Ｒｅｉｓｎｅｒ　イデアル / 極小自由分解 / 算術階数 / Stanley-Reisner イデアル / arithmetical rank / minimal free resolution / Stanley-Reisner ideal / 準素分解 / 根基イデアル / イニシャルイデアル / アルゴリズム / 正規凸多面体 / 巡回凸多面体 / 辺凸多面体 / 正則三角形分割 / 鎖凸多面体 / 順序凸多面体 / 有限半順序集合 / Ehrhart 多項式 / Cameron--Walker graph / binomial edge ideal / edge ring / トーリックイデアル / 二項式辺イデアル / 辺イデアル / 有限グラフ / ファノ凸多面体 / 単項式イデアル / 凸多面体 / グレブナー基底 Less

超空間代数の余不変式環の代数的組合せ論Principal Investigator
- Principal Investigator
  
  村井聡
- Project Period (FY)
  2025 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Waseda University
Fusion of enumerative and algebraic geometry and exploration of quasi-geometric invariants
- Principal Investigator
  
  阿部拓郎
- Project Period (FY)
  2023 – 2028
- Research Category
  
  Grant-in-Aid for Challenging Research (Pioneering)
- Review Section
  
  Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
  Rikkyo University
可換環論・数え上げ組合せ論・組合せトポロジーの間の相互関係の研究Principal Investigator
- Principal Investigator
  
  村井聡
- Project Period (FY)
  2021 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Waseda University
Research of logarithmic vector fields of hyperplane arrangements
- Principal Investigator
  
  阿部拓郎
- Project Period (FY)
  2021 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Rikkyo University
  Kyushu University
Research on the coinvariant ring theory for hyperplane arrangements and the new developments of its representation and geometry
- Principal Investigator
  
  ABE TAKURO
- Project Period (FY)
  2016 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Kyushu University
Triangulations of polytopes and manifolds with nice coloring structurePrincipal Investigator
- Principal Investigator
  
  Murai Satoshi
- Project Period (FY)
  2016 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Waseda University
  Osaka University
Face enumeration of convex polytopes and cell complexesPrincipal Investigator
- Principal Investigator
  
  Murai Satoshi
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
  Yamaguchi University
Minimal free resolutions and the arithmetical rank of Stanley-Reisner ideals
- Principal Investigator
  
  TERAI Naoki
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Saga University
Study on open problems arising from convex polytopes with strategies of the developed theory of Groebner bases
- Principal Investigator
  
  HIBI Takayuki
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
A ring theoretic approach to face numbers of triangulated manifoldsPrincipal Investigator
- Principal Investigator
  
  MURAI Satoshi
- Project Period (FY)
  2010 – 2013
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Yamaguchi University

[Journal Article] Affine Stresses, Inverse Systems, and Reconstruction Problems2023
- Author(s)
  Murai Satoshi、Novik Isabella、Zheng Hailun
- Journal Title
  
  International Mathematics Research Notices
  
  Volume: - Issue: 10 Pages: 8540-8556
- DOI
  10.1093/imrn/rnad294
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03190
[Journal Article] A note on the reducedness and Groebner bases of Specht ideals2022
- Author(s)
  Murai Satoshi、Ohsugi Hidefumi、Yanagawa Kohji
- Journal Title
  
  Communications in Algebra
  
  Volume: 50 Issue: 12 Pages: 5430-5434
- DOI
  10.1080/00927872.2022.2085288
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03456, KAKENHI-PROJECT-21K03190, KAKENHI-PROJECT-18H01134
[Journal Article] Betti tables of monomial ideals fixed by permutations of the variables2020
- Author(s)
  Satoshi Murai
- Journal Title
  
  Transaction of the American Mathematical Society
  
  Volume: 論文受理
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05102
[Journal Article] Solomon–Terao algebra of hyperplane arrangements2019
- Author(s)
  Takuro ABE, Toshiaki MAENO, Satoshi MURAI and Yasuhide NUMATA
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 71 Issue: 4 Pages: 1027-1047
- DOI
  10.2969/jmsj/79957995
- NAID
  130007733331
- ISSN
  0025-5645, 1881-1167, 1881-2333
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03924
[Journal Article] Exceptional Balanced Triangulations on Surfaces2019
- Author(s)
  Klee Steven、Murai Satoshi、Suzuki Yusuke
- Journal Title
  
  Graphs and Combinatorics
  
  Volume: 印刷中 Issue: 6 Pages: 1361-1373
- DOI
  10.1007/s00373-018-2001-x
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05102, KAKENHI-PROJECT-16K05250
[Journal Article] The Numbers of Edges of 5-Polytopes with a Given Number of Vertices2019
- Author(s)
  Kusunoki Takuya、Murai Satoshi
- Journal Title
  
  Annals of Combinatorics
  
  Volume: 23 Issue: 1 Pages: 89-101
- DOI
  10.1007/s00026-019-00417-y
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K05102
[Journal Article] Local h-Vectors of Quasi-Geometric and Barycentric Subdivisions2018
- Author(s)
  Juhnke-Kubitzke Martina、Murai Satoshi、Sieg Richard
- Journal Title
  
  Discrete & Computational Geometry
  
  Volume: 61 Issue: 2 Pages: 364-379
- DOI
  10.1007/s00454-018-9986-z
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05102
[Journal Article] Lefschetz properties of balanced 3-polytopes2018
- Author(s)
  David Cook II, Martina Juhnke-Kubitzke, Satoshi Murai, Eran Nevo
- Journal Title
  
  Rocky Mountain Journal of Mathematics
  
  Volume: 印刷中
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05102
[Journal Article] Lefschetz properties for complete intersection ideals generated by products of linear forms2018
- Author(s)
  Juhnke-Kubitzke Martina、Miro-Roig Rosa M.、Murai Satoshi、Wachi Akihito
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 146 Issue: 8 Pages: 3249-3256
- DOI
  10.1090/proc/14009
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05102
[Journal Article] A generalized lower bound theorem for balanced manifolds2018
- Author(s)
  Juhnke-Kubitzke Martina、Murai Satoshi、Novik Isabella、Sawaske Connor
- Journal Title
  
  Mathematische Zeitschrift
  
  Volume: 印刷中 Issue: 3-4 Pages: 921-942
- DOI
  10.1007/s00209-017-1981-1
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05102
[Journal Article] Face numbers and the fundamental group2017
- Author(s)
  Murai Satoshi、Novik Isabella
- Journal Title
  
  Israel Journal of Mathematics
  
  Volume: 222 Issue: 1 Pages: 297-315
- DOI
  10.1007/s11856-017-1591-y
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05102
[Journal Article] Balanced subdivisions and flips on surfaces2017
- Author(s)
  Murai Satoshi、Suzuki Yusuke
- Journal Title
  
  Proceedings of the American Mathematical society
  
  Volume: 146 Issue: 3 Pages: 939-951
- DOI
  10.1090/proc/13775
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K05102, KAKENHI-PROJECT-16K05250
[Journal Article] Uniformly Cohen-Macaulay simplicial complexes and almost Gorenstein* simplicial complexes2016
- Author(s)
  Naoyuki Matsuoka, Satoshi Murai
- Journal Title
  
  Journal of Algebra
  
  Volume: 455 Pages: 14-31
- DOI
  10.1016/j.jalgebra.2016.02.005
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-25400043
[Journal Article] Invariance of Pontrjagin classes for Bott manifolds2015
- Author(s)
  Suyoung Choi, Mikiya Masuda, Satoshi Murai
- Journal Title
  
  Algebraic and Geometric Topology
  
  Volume: 15 Issue: 2 Pages: 965-986
- DOI
  10.2140/agt.2015.15.965
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400043, KAKENHI-PROJECT-25400095
[Journal Article] Tight combinatorial manifolds and graded Betti numbers2015
- Author(s)
  Satoshi Murai
- Journal Title
  
  Collectanea Mathematica
  
  Volume: 印刷中 Issue: 3 Pages: 367-386
- DOI
  10.1007/s13348-015-0137-z
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400043
[Journal Article] Squarefree P-modules and the cd-index2014
- Author(s)
  Satoshi Murai, Kohji Yanagawa
- Journal Title
  
  Advances in Mathematics
  
  Volume: 265 Pages: 241-279
- DOI
  10.1016/j.aim.2014.07.037
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400043, KAKENHI-PROJECT-25400057
[Journal Article] h-vectors of simplicial cell balls2013
- Author(s)
  Satoshi Murai
- Journal Title
  
  Transactions of the American Mathematical Society
  
  Volume: vol.365 Issue: 3 Pages: 1533-1550
- DOI
  10.1090/s0002-9947-2012-05674-1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740018
[Journal Article] Face vectors of simplicial cell decompositions of manifolds2013
- Author(s)
  Satoshi Murai
- Journal Title
  
  Israel Journal of Mathematics
  
  Volume: vol.195 Issue: 1 Pages: 187-213
- DOI
  10.1007/s11856-012-0127-8
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740018
[Journal Article] h-vectors of simplicial cell balls2013
- Author(s)
  Satoshi Murai
- Journal Title
  
  Transaction of the American Mathematical Society
  
  Volume: 365 Pages: 1533-1550
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740018
[Journal Article] On the generalized lower bound conjecture for polytopes and spheres2013
- Author(s)
  Satoshi Murai, Eran Nevo
- Journal Title
  
  Acta Mathematica
  
  Volume: vol.210 Issue: 1 Pages: 185-202
- DOI
  10.1007/s11511-013-0093-y
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740018
[Journal Article] Lefschetz properties and the Veronese Construction2012
- Author(s)
  Martina Kubitzke, Satoshi Murai
- Journal Title
  
  Mathematical Research Letters
  
  Volume: vol.19 Issue: 5 Pages: 1043-1053
- DOI
  10.4310/mrl.2012.v19.n5.a7
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740018
[Journal Article] On the cd-index and γ-vector of S*-shellable CW-spheres2012
- Author(s)
  Satoshi Murai, Eran Nevo
- Journal Title
  
  Mathematische Zeitschrift
  
  Volume: vol.271 Issue: 3-4 Pages: 1309-1319
- DOI
  10.1007/s00209-011-0917-4
- NAID
  120005844295
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740018
[Journal Article] Spheres arising from multicomplexes2011
- Author(s)
  Satoshi Murai
- Journal Title
  
  Journal of Combinatorial Theory, Series A
  
  Volume: 118 Issue: 8 Pages: 2167-2184
- DOI
  10.1016/j.jcta.2011.04.015
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740018
[Presentation] Ehrhart quasi-polynomials and parallel translation of rational polytopes2022
- Author(s)
  Satoshi Murai
- Organizer
  RIMS Symposium Characteristic Polynomials of Hyperplane Arrangements and Ehrhart Polynomials of Convex Polytopes
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03190
[Presentation] An equivariant Hochster’s formula for Sn-invariant monomial ideals and its applications2021
- Author(s)
  村井　聡
- Organizer
  第42回可換環論シンポジウム
- Data Source
  KAKENHI-PROJECT-21K03190
[Presentation] 凸多面体の面の個数に関するあれこれ2020
- Author(s)
  村井　聡
- Organizer
  第3回数理新人セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-16K05102
[Presentation] h-vectors and the number of generators of fundamental groups2018
- Author(s)
  Satoshi Murai
- Organizer
  New Trends in Syzygies
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05102
[Presentation] 基本群の生成元の個数と単体分割の辺の数2018
- Author(s)
  村井　聡
- Organizer
  変換群論における幾何・代数・組み合わせ論
- Data Source
  KAKENHI-PROJECT-16K05102
[Presentation] 多様体の単体分割の持つ組合せ論的・代数的対称性2017
- Author(s)
  村井　聡
- Organizer
  日本数学会秋季総合分科会
- Invited
- Data Source
  KAKENHI-PROJECT-16K05102
[Presentation] Face numbers and the fundamental group2017
- Author(s)
  Satoshi Murai
- Organizer
  2017 CMS Winter Meeting
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05102
[Presentation] Hessenberg varieties and hyperplane arrangements2017
- Author(s)
  村井聡
- Organizer
  第39回可換環論シンポジウム
- Data Source
  KAKENHI-PROJECT-16H03924
[Presentation] 凸多面体の面の数え上げ論の近況2017
- Author(s)
  村井　聡
- Organizer
  2017年日本数学会年会
- 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-16K05102
[Presentation] 多様体の単体分割の組合せ論と代数2016
- Author(s)
  村井　聡
- Organizer
  第63回トポロジーシンポジウム
- Place of Presentation
  神戸大学（兵庫県神戸市）
- Year and Date
  2016-07-05
- Invited
- Data Source
  KAKENHI-PROJECT-16K05102
[Presentation] Face numbers of balanced simplicial polytopes and complexes2016
- Author(s)
  村井　聡
- Organizer
  第38回可換環論シンポジウム
- Place of Presentation
  IPC生産国際交流センター（神奈川県三浦郡）
- Year and Date
  2016-11-18
- Data Source
  KAKENHI-PROJECT-16K05102
[Presentation] A duality of Buchsbaum rings and triangulated manifolds2016
- Author(s)
  Satoshi Murai
- Organizer
  Asymptotic Phenomena in Local Algebra and Singularity Theory
- Place of Presentation
  Oberwolfach (ドイツ)
- Year and Date
  2016-12-11
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05102
[Presentation] 多面体・多様体のstackedな三角形分割2015
- Author(s)
  村井　聡
- Organizer
  Algebraic Topology from Combinatorial Viewpoint
- Place of Presentation
  松山市立子規記念博物館（愛媛）
- Year and Date
  2015-10-31
- Data Source
  KAKENHI-PROJECT-25400043
[Presentation] Ring isomorphisms of cohomologies of certain toric manifolds2015
- Author(s)
  Satoshi Murai
- Organizer
  第37回可換環論シンポジウム
- Place of Presentation
  倉敷シーサイドホテル（岡山）
- Year and Date
  2015-11-22
- Data Source
  KAKENHI-PROJECT-25400043
[Presentation] 多様体の三角形分割の組合せ論と可換代数2015
- Author(s)
  村井　聡
- Organizer
  第60回代数学シンポジウム
- Place of Presentation
  静岡大学（静岡）
- Year and Date
  2015-08-31
- Invited
- Data Source
  KAKENHI-PROJECT-25400043
[Presentation] d彩色可能なd次元単体的凸多面体の面の個数の下限について2015
- Author(s)
  村井　聡
- Organizer
  デザイン、符号、グラフおよびその周辺
- Place of Presentation
  京都大学（京都）
- Year and Date
  2015-07-10
- Data Source
  KAKENHI-PROJECT-25400043
[Presentation] Average of polyhedral Morse inequalities and graded Betti numbers2015
- Author(s)
  Satoshi Murai
- Organizer
  Combinatorial and Experimental Methods in Commutative Algebra and Related Fields
- Place of Presentation
  Osnabrueck (ドイツ)
- Year and Date
  2015-10-09
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400043
[Presentation] New inequalities for face numbers of d-colorable simplicial d-polytopes2015
- Author(s)
  Satoshi Murai
- Organizer
  Toric Topology 2015 in Osaka
- Place of Presentation
  大阪市立大学（大阪）
- Year and Date
  2015-06-16
- Data Source
  KAKENHI-PROJECT-25400043
[Presentation] 多面体的複体のflag f-列について2014
- Author(s)
  村井　聡, 柳川　浩二
- Organizer
  日本数学会年会
- Place of Presentation
  学習院大学
- Data Source
  KAKENHI-PROJECT-25400043
[Presentation] cd-index for CW-posets2013
- Author(s)
  Satoshi Murai
- Organizer
  Combinatorial Methods in Topology and Algebra
- Place of Presentation
  Cortona (イタリア）
- Data Source
  KAKENHI-PROJECT-25400043
[Presentation] Squarefree P-modules and its applications2013
- Author(s)
  Satoshi Murai
- Organizer
  Commutative Algebra and its interaction to Algebraic Geometry and Combinatorics
- Place of Presentation
  Hanoi (ベトナム)
- Invited
- Data Source
  KAKENHI-PROJECT-25400043
[Presentation] Lefschetz properties and face vectors2012
- Author(s)
  Satoshi Murai
- Organizer
  Aspects of SLP and WLP
- Place of Presentation
  Honolulu(アメリカ)
- Year and Date
  2012-09-13
- Data Source
  KAKENHI-PROJECT-22740018
[Presentation] 3 次元Gorenstein* order complex のh-列について2012
- Author(s)
  村井聡
- Organizer
  2012年日本数学会年会
- Place of Presentation
  東京理科大学(新宿区)
- Year and Date
  2012-03-26
- Data Source
  KAKENHI-PROJECT-22740018
[Presentation] Stacked triangulations and face numbers2012
- Author(s)
  Satoshi Murai
- Organizer
  Combinatorial Commutative Algebra and Applications
- Place of Presentation
  California　(アメリカ)
- Invited
- Data Source
  KAKENHI-PROJECT-22740018
[Presentation] On generalized lower bound conjecture for simplicial polytopes2012
- Author(s)
  Satoshi Murai
- Organizer
  Combinatorial Commutative Algebra and Applications
- Place of Presentation
  California(アメリカ)
- Year and Date
  2012-12-04
- Data Source
  KAKENHI-PROJECT-22740018
[Presentation] 3次元Gorenstein*order complexのh-列について2012
- Author(s)
  村井聡
- Organizer
  2012年日本数学会年会
- Place of Presentation
  東京理科大学(東京)
- Year and Date
  2012-03-26
- Data Source
  KAKENHI-PROJECT-22740018
[Presentation] Lefschetz properties and face vectors2012
- Author(s)
  Satoshi Murai
- Organizer
  Aspects of SLP and WLP
- Place of Presentation
  Honolulu (アメリカ)
- Data Source
  KAKENHI-PROJECT-22740018
[Presentation] 単体的セル複体の面の数え上げの話2011
- Author(s)
  村井聡
- Organizer
  第56回代数学シンポジウム
- Place of Presentation
  岡山大学(岡山市)
- Year and Date
  2011-08-09
- Data Source
  KAKENHI-PROJECT-22740018
[Presentation] H-vectors of simplicial cell balls2011
- Author(s)
  Satoshi Murai
- Organizer
  The 7th Japan-Vietnam Joint Seminar on Commutative Algebra
- Place of Presentation
  Hanoi (Vietnam)(招待講演)
- Year and Date
  2011-12-12
- Data Source
  KAKENHI-PROJECT-22740018
[Presentation] Face vectors of simplicial cell decompositions of manifolds2011
- Author(s)
  Satoshi Murai
- Organizer
  Topological and Geometric Combinatorics
- Place of Presentation
  Oberwolfach(ドイツ)
- Year and Date
  2011-02-10
- Data Source
  KAKENHI-PROJECT-22740018
[Presentation] 単体的セル複体の数え上げの話2011
- Author(s)
  村井聡
- Organizer
  第56回代数学シンポジウム
- Place of Presentation
  岡山大学(岡山市)
- Year and Date
  2011-12-12
- Data Source
  KAKENHI-PROJECT-22740018
[Presentation] H-vectors of simplicial cell balls2011
- Author(s)
  Satoshi Murai
- Organizer
  The 7th Japan-Vietnam Joint Seminar on Commutative Algebra
- Place of Presentation
  Quy Nhon(ベトナム)
- Year and Date
  2011-12-12
- Data Source
  KAKENHI-PROJECT-22740018
[Presentation] Bier spheres, polarization and Alexander duality2010
- Author(s)
  Satoshi Murai
- Organizer
  Commutative algebra and its interactions with algebraic geometry
- Place of Presentation
  Luminy(フランス)
- Year and Date
  2010-11-05
- Data Source
  KAKENHI-PROJECT-22740018
[Presentation] Balanced generalized lower bound inequality for simplicial polytopes
- Author(s)
  Satoshi Murai
- Organizer
  Geometric and Algebraic Combinatorics
- Place of Presentation
  Oberwolfach (ドイツ)
- Year and Date
  2015-02-01 – 2015-02-07
- Data Source
  KAKENHI-PROJECT-25400043
[Presentation] 球面の直積の三角形分割のtight性について
- Author(s)
  村井　聡
- Organizer
  日本数学会2015年度年会
- Place of Presentation
  明治大学 (東京)
- Year and Date
  2015-03-21 – 2015-03-24
- Data Source
  KAKENHI-PROJECT-25400043
[Presentation] Tight triangulations and graded Betti numbers
- Author(s)
  Satoshi Murai
- Organizer
  Meeting on Combinatorial Commutative Algebra
- Place of Presentation
  Levico Terme (イタリア)
- Year and Date
  2014-09-08 – 2014-09-12
- Data Source
  KAKENHI-PROJECT-25400043
[Presentation] A Lefschetz property for barycentric subdivisions
- Author(s)
  Satoshi Murai
- Organizer
  Workshop on Lefschetz properties in Goettingen
- Place of Presentation
  Goettingen (ドイツ)
- Year and Date
  2015-03-07 – 2015-03-14
- Data Source
  KAKENHI-PROJECT-25400043
[]

1. ABE TAKURO (50435971)

# of Collaborated Projects: 3 results

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

# of Collaborated Projects: 2 results

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

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. HIBI Takayuki (80181113)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. OHSUGI Hidefumi (80350289)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. TERAI Naoki (90259862)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. UEHARA Tsuyoshi (80093970)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. ICHIKAWA Takashi (20201923)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. MIYAZAKI Chikashi (90229831)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. KAWAI Shigeo (30186043)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. YOSHIDA Kenichi (80240802)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. YANAGAWA Kouji (40283006)

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
13. KIMURA Kyouko (60572633)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. 榎本直也 (50565710)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. 桑原敏郎 (60524725)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Murai Satoshi 村井 聡

MURAI Satoshi 村井 聡

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Co-Researchers

超空間代数の余不変式環の代数的組合せ論Principal Investigator

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Fusion of enumerative and algebraic geometry and exploration of quasi-geometric invariants

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可換環論・数え上げ組合せ論・組合せトポロジーの間の相互関係の研究Principal Investigator

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Research of logarithmic vector fields of hyperplane arrangements

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Research on the coinvariant ring theory for hyperplane arrangements and the new developments of its representation and geometry

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Triangulations of polytopes and manifolds with nice coloring structurePrincipal Investigator

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Face enumeration of convex polytopes and cell complexesPrincipal Investigator

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Minimal free resolutions and the arithmetical rank of Stanley-Reisner ideals

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Study on open problems arising from convex polytopes with strategies of the developed theory of Groebner bases

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A ring theoretic approach to face numbers of triangulated manifoldsPrincipal Investigator

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[Journal Article] Affine Stresses, Inverse Systems, and Reconstruction Problems2023

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[Journal Article] A note on the reducedness and Groebner bases of Specht ideals2022

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[Journal Article] Betti tables of monomial ideals fixed by permutations of the variables2020

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[Journal Article] Solomon–Terao algebra of hyperplane arrangements2019

Murai Satoshi 村井聡

MURAI Satoshi 村井聡