Numata Yasuhide 沼田泰英

… Alternative Names

NUMATA Yasuhide 沼田泰英

沼田泰英ヌマタヤスヒデ

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Researcher Number	00455685
Other IDs	https://orcid.org/0000-0002-1228-7067
Affiliation (Current)	2025: 北海道大学, 理学研究院, 教授
Affiliation (based on the past Project Information) *help	2022 – 2024: 北海道大学, 理学研究院, 教授 2023: 北海道大学, 理学研究員, 教授 2015 – 2022: 信州大学, 学術研究院理学系, 准教授 2014: 信州大学, 学術研究院理学系, 講師 2013: 信州大学, 理学部, 講師 2007: 北海道大学, 大学院・理学研究院, 学術研究員
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related / Mathematical Sciences in Search of New Cooperation / Algebra Except Principal Investigator Medium-sized Section 11:Algebra, geometry, and related fields / Algebra
Keywords	Principal Investigator 数え上げ組合せ論 / ヤング図形 / Hillman-Grasslアルゴリズム / Hook length formula / hook length formula / 半順序集合 / Jacobi-Trudi formula / Lefschetz property / ヤング盤 / パスグラフ … More / Face Poset / ルート多面体 / トグリング / 独立集合 / Hilmann-Grasslアルゴリズム / 重み付き母関数 / directed edge polytope / トグリング群 / 強レフシェッツ性 / Hook Length formula / グラフ / Bijective proof / 地理データ / 代数トポロジー的データ解析 / GISデータ / 計算代数トポロジー的データ解析. / 地理情報 / パーシステントホモロジー / 代数的トポロジー / 既約ピタゴラス数 / マッチング数 / Cauchy formula / Grothendieck polynomial / 表現論的組合せ論 / 代数的組合せ論 / 平面二分木 / 組合せ論 / マッチング / 数え上げ / 母関数 … More Except Principal Investigator 対数的ベクトル場 / 超平面配置 / Shi配置 / Sylvester-Gallaiの定理 / 二重点 / ログ凸性 / 擬幾何学不変量 / 特性準多項式 / compatibility / 多重コクセター配置 / マグニチュード / 数え上げ / 二重被覆空間 / Ramanujan Machine / 対数的微分形式 / 機械学習 / ランダム生成アルゴリズム / Ish配置 / 有向グラフ配置 / 制限写像 / 分解定理 / 特性多項式とその根 / 逆交差格子 / 逆特性多項式 / メビウス関数 / 交差格子 / 加除定理 / SPOG配置 / 寺尾の分解定理 / ベッチ数 / 特性多項式 / 局所化と制限 / グラフ配置 / オイラー制限射 / 整数根 / ポアンカレ多項式 / 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 / 有理Cherednik代数と準不変式 / Dirac-Motzkin予想 / 特異点 / 超可解配置 / 原始微分 / 准不変式環 / 有理Cherednik代数 / Solomon-寺尾代数 / 準不変式環 / 多重配置 / Hessenberg多様体 / 自由配置 / コホモロジー / 小圏 / 関手圏 / 小圏のコホモロジー / アソシエーションスキーム / Mitchell埋め込み定理 / モデル圏 / 強ホモトピー / 森田同値 / 2-圏 / スキーモイド / クリティカル加群 / 特性多様体 / 超幾何系 / D-加群 / ネター性 / 半群環 / トーリック多様体 / 微分作用素環 Less

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
  Osaka 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
Fusion of algebra, geometry and combinatorics based on the roots of Poincare polynomials of hyperplane arrangements
- Principal Investigator
  
  ABE TAKURO
- Project Period (FY)
  2020 – 2023
- Research Category
  
  Grant-in-Aid for Challenging Research (Exploratory)
- Review Section
  
  Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
  Rikkyo University
  Kyushu University
Combinatorics related to representation theory and enumeration of pathsPrincipal Investigator
- Principal Investigator
  
  NUMATA YASUHIDE
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Hokkaido University
  Shinshu 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
Application fo topological data analisys to geographic informationPrincipal Investigator
- Principal Investigator
  
  Numata Yasuhide
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical Sciences in Search of New Cooperation
- Research Institution
  Shinshu University
Enumerative combinatorics on matchings and its applicationPrincipal Investigator
- Principal Investigator
  
  NUMATA Yasuhide
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Shinshu University
Studies on association schemoids with insights gained from cohomology theory of small categories
- Principal Investigator
  
  KURIBAYASHI Katsuhiko
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Shinshu University
THE RING OF DIFFERENTIAL OPERATORS ON AN AFFINE TORIC VARIETYAND ITS APPLICATIONS
- Principal Investigator
  
  SAITO Mutsumi
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Hokkaido University

All 2023 2022 2019 2017 2016 2015 2014 2013 2008 2007 Other

All Journal Article Presentation Book

[Book] The Lefschetz Properties, Lecture Notes in Mathematics, Vol. 20802013
- Author(s)
  Harima, T.; Maeno, T.; Morita, H.; Numata, Y.; Wachi, A.; Watanabe, J.
- Total Pages
  250
- Publisher
  Springer Berlin Heidelberg
- Data Source
  KAKENHI-PROJECT-25800009
[Journal Article] On the action of the toggle group of the Dynkin diagram of type A2022
- Author(s)
  Yasuhide Numata, Yuiko Yamanouchi
- Journal Title
  
  Algebraic Combinatorics
  
  Volume: Volume 5, no. 1 Issue: 1 Pages: 149-161
- DOI
  10.5802/alco.204
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K03206
[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] Toward a combinatorial formula for an irregular conformal block of rank one2017
- Author(s)
  Nagoya, Hajime / Numata, Yasuhide
- Journal Title
  
  Josai Mathematical Monographs (Representation Theory and Differential Equations : Proceedings of JMM Workshop on Representation Theory and Differential Equations,November 26-27,2023 Josai University)
  
  Volume: 10 Pages: 81-95
- NAID
  120006028483
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25800009
[Journal Article] On graphs whose Hosoya indices are primitive Pythagorean triples2016
- Author(s)
  Tomoe Kadoi, Yasuhide Numata
- Journal Title
  
  Notes on Number Theory and Discrete Mathematics
  
  Volume: 22 Pages: 59-80
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-25800009
[Journal Article] Generalized Schur operators on planar binary trees2008
- Author(s)
  Yasuhide Numata
- Journal Title
  
  RIMS Kokyuroku Bessatsu 8
  
  Pages: 85-97
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540002
[Journal Article] Pieri's formula for generalized Schur polynomials2007
- Author(s)
  Yasuhide Numata
- Journal Title
  
  Journal of Algebraic Combinatorics 26・1
  
  Pages: 27-45
- NAID
  120000952644
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540002
[Journal Article] The strong Lefschetz property of the coinvariant ring of the Coxeter group of type H_42007
- Author(s)
  Yasuhide Numata
- Journal Title
  
  Journal of Algebra 318・2
  
  Pages: 1032-1038
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540002
[Journal Article] Bicolor-eliminable graghs and free multiplicities on the braid arrangement, to appear
- Author(s)
  T. Abe, K. Nuida, and Y. Numata
- Journal Title
  
  the Journal of the London Mathematical Society
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540002
[Presentation] On the face poset of directed edge polytopes2023
- Author(s)
  Yasuhide Numata
- Organizer
  Characteristic Polynomials of Hyperplane Arrangements and Ehrhart Polynomials of Convex Polytopes
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03206
[Presentation] Counting the regions of hyperplane arrangements related to Coxeter arrangements.2023
- Author(s)
  沼田泰英
- Organizer
  ICIAM 2023
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23H00081
[Presentation] Faces of Directed Edge Polytopes2023
- Author(s)
  Y. Numata, Y. Takahashi, D. Tamaki
- Organizer
  The 35th International Conference on Formal Power Series and Algebraic Combinatorics
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03206
[Presentation] On combinatorics of a K-theoretic analogue of Schur functions.2015
- Author(s)
  Yasuhide NUMATA
- Organizer
  Workshop and Seminar on Topological Combinatorics and Related Topics
- Place of Presentation
  Kasetsart University, Bangkok, Thailand
- Year and Date
  2015-01-07
- Data Source
  KAKENHI-PROJECT-25800009
[Presentation] On graphs whose Hosoya indices are primitive Pythagorean triples2014
- Author(s)
  Tomoe KADOI, Yasuhide NUMATA
- Organizer
  Japan Conference on Graph Theory and Combinatorics
- Place of Presentation
  Nihon University
- Year and Date
  2014-05-17
- Data Source
  KAKENHI-PROJECT-25800009
[Presentation] Generalized Schur operatorson rooted planar binary trees2008
- Author(s)
  Y. Numata
- Organizer
  The 10thHokkaido University-Soeul NationalUniversity Joint Symposium
- Place of Presentation
  Soeul, Korea
- Year and Date
  2008-01-25
- Data Source
  KAKENHI-PROJECT-18540002
[Presentation] A bijective proof for afactorization formula of modifiedMacdonald polynomial at roots of unity, Workshop on Representation Theory2008
- Author(s)
  Y. Numata
- Organizer
  Geometry and Combinatorics, of California
- Place of Presentation
  Berkeley, USA
- Year and Date
  2008-07-04
- Data Source
  KAKENHI-PROJECT-18540002
[Presentation] Tabloids and weighted sumsof characters of certain modules of thesymmetric groups2007
- Author(s)
  Y. Numata
- Organizer
  The 19th InternationalConference on Formal Power Series andAlgebraic Combinatorics (FPSAC'07)
- Place of Presentation
  Center for Combinatorics, Nankai Univ., Tianjin, China
- Year and Date
  2007-07-03
- Data Source
  KAKENHI-PROJECT-18540002

1. ABE TAKURO (50435971)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
2. SHIMADA Ichiro (10235616)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
3. YANAGAWA Kohji (40283006)

# of Collaborated Projects: 2 results

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

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. 村井聡 (90570804)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. SAITO Mutsumi (70215565)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. YAMASHITA Hirosh (30192793)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. KURIBAYASHI Katsuhiko (40249751)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. HANAKI Akihide (50262647)

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. 武者忠彦 (70432177)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. 田中康平 (70708362)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. 鍛冶静雄 (00509656)

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. 東谷章弘 (60723385)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. MATSUO Kentaro

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. MOMOSE Yasuhiro

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Numata Yasuhide 沼田 泰英

NUMATA Yasuhide 沼田 泰英

沼田 泰英 ヌマタ ヤスヒデ

Research Projects

Research Products

Co-Researchers

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

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

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

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Fusion of algebra, geometry and combinatorics based on the roots of Poincare polynomials of hyperplane arrangements

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Combinatorics related to representation theory and enumeration of pathsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Application fo topological data analisys to geographic informationPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Enumerative combinatorics on matchings and its applicationPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Studies on association schemoids with insights gained from cohomology theory of small categories

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

THE RING OF DIFFERENTIAL OPERATORS ON AN AFFINE TORIC VARIETYAND ITS APPLICATIONS

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Book] The Lefschetz Properties, Lecture Notes in Mathematics, Vol. 20802013

Author(s)

Total Pages

Publisher

Data Source

[Journal Article] On the action of the toggle group of the Dynkin diagram of type A2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Solomon–Terao algebra of hyperplane arrangements2019

Author(s)

Journal Title

DOI

NAID

ISSN

Language

Data Source

[Journal Article] Toward a combinatorial formula for an irregular conformal block of rank one2017

Author(s)

Numata Yasuhide 沼田泰英

NUMATA Yasuhide 沼田泰英

沼田泰英ヌマタヤスヒデ