Hoshino Ayumu 星野歩

Researcher Number	30598280
Affiliation (Current)	2025: 山梨大学, 大学院総合研究部, 教授
Affiliation (based on the past Project Information) *help	2024: 山梨大学, 大学院総合研究部, 教授 2017 – 2022: 広島工業大学, 工学部, 准教授 2016: 香川高等専門学校, 一般教育科(高松キャンパス), 准教授
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related / Basic Section 12010:Basic analysis-related / Basic analysis
Keywords	Principal Investigator Macdonald多項式 / Koornwinder多項式 / 明示公式 / Pieri公式 / 解析的Pieri公式 / 退化隣接関係と安定性 / 分規則 / 漸近自由固有関数 / C型Macdonald多項式 / 漸近自由解 … More / カタラン数 / 結晶基底 / 変形W代数 / Matrix inversion / Kostka多項式 / Catalan数 / matrix inversion / Koornwinder 多項式 / Macdonald 多項式 Less

Macdonald-Koornwinder多項式の解析的Pieri公式と明示公式の構成Principal Investigator
- Principal Investigator
  
  星野歩
- Project Period (FY)
  2024 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  University of Yamanashi
Degeneration scheme and explicit formula for Koornwinder polynomialsPrincipal Investigator
- Principal Investigator
  
  Hoshino Ayumu
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Hiroshima Institute of Technology
Research of explicit formulas and associated algebraic structures for Macdonald polynomialsPrincipal Investigator
- Principal Investigator
  
  Hoshino Ayumu
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Hiroshima Institute of Technology
  Kagawa National College of Technology

All 2022 2021 2020 2019 2018

All Journal Article Presentation

[Journal Article] Branching formula for q-Toda functions of type B.2021
- Author(s)
  Hoshino, A., Ohkubo, Y. & Shiraishi, J.
- Journal Title
  
  Lett Math Phys 111, 126 (2021).
  
  Volume: 111 Issue: 5 Pages: 126-126
- DOI
  10.1007/s11005-021-01461-7
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03512, KAKENHI-PROJECT-19K03530, KAKENHI-PROJECT-21K13803
[Journal Article] Branching Rules for Koornwinder Polynomials with One Column Diagrams and Matrix Inversions2020
- Author(s)
  星野歩、白石潤一
- Journal Title
  
  Symmetry, Integrability and Geometry: Methods and Applications（SIGMA）
  
  Volume: 16 Pages: 84-111
- NAID
  40022336950
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K03530
[Journal Article] Polyhedral realizations of crystal bases B(λ) for quantum algebras of nonexceptional affine types2019
- Author(s)
  星野歩、仲田研登
- Journal Title
  
  Journal of Mathematical Physics
  
  Volume: 60 Issue: 9 Pages: 091704-091760
- DOI
  10.1063/1.5043554
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03530, KAKENHI-PROJECT-18H01435
[Journal Article] Macdonald Polynomials of Type Cn with One-Column Diagrams and Deformed Catalan Numbers2018
- Author(s)
  Ayumu Hoshino, Jun'ichi Shiraishi
- Journal Title
  
  SIGMA
  
  Volume: 14 Pages: 101-133
- DOI
  10.3842/sigma.2018.101
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04808, KAKENHI-PROJECT-16K05186
[Presentation] 鈎型C型Macdonald多項式の明示公式とPieri型公式2022
- Author(s)
  星野歩
- Organizer
  日本数学会秋季総合分科会無限可積分系セッション特別講演
- Invited
- Data Source
  KAKENHI-PROJECT-19K03530
[Presentation] 変形Koornwinder作用素とC型Macdonald多項式II2021
- Author(s)
  星野歩、大久保勇輔、白石潤一
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-19K03530
[Presentation] 変形Koornwinder作用素とC型Macdonald多項式I2021
- Author(s)
  星野歩、大久保勇輔、白石潤一
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-19K03530
[Presentation] Pieri formula for Macdonald polynomials of type C with hook type diagrams2021
- Author(s)
  星野歩
- Organizer
  第36回リー代数サマーセミナー
- Data Source
  KAKENHI-PROJECT-19K03530
[Presentation] Kostka polynomials with one column diagrams of type B_n, C_n and D_n2019
- Author(s)
  星野歩，白石潤一
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-16K05186
[Presentation] Brunching Rules for Koornwinder polynomials with One Column Diagrams and Matrix Inversions2019
- Author(s)
  星野歩
- Organizer
  RIMS共同研究（公開型）『表現論とその組合せ論的側面』
- Data Source
  KAKENHI-PROJECT-19K03530
[Presentation] Conjecture concerning Bn q-Toda eigenfunctions2019
- Author(s)
  星野歩，白石潤一
- Organizer
  日本数学会2019年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-19K03530
[Presentation] Macdonald polynomials of type C_n with One-Column Diagrams and Deformed Catalan Numbers2018
- Author(s)
  Ayumu Hoshino and Jun'ichi Shiraishi
- Organizer
  Symmetries and Integrability of Difference Equations (SIDE) 13
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05186
[Presentation] 一列型C, D 型Macdonald 多項式の明示公式2018
- Author(s)
  星野歩，白石潤一
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-16K05186
[Presentation] 一列型C，D型Macdonald多項式の明示公式2018
- Author(s)
  星野歩
- Organizer
  日本数学会2018年度年会
- Data Source
  KAKENHI-PROJECT-16K05186
[Presentation] Tableau formulas for one-row Macdonald polynomials of type C_n2018
- Author(s)
  星野歩
- Organizer
  Descrete Mathematics (Wien University)
- Data Source
  KAKENHI-PROJECT-16K05186
[Presentation] Tableau formulas for one-row Macdonald polynomials of type C_n2018
- Author(s)
  星野歩
- Organizer
  Algebraic and Enumerative Combinatorics in Okayama
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05186
[Presentation] Matrix inversion for Koornwinder polynomials with one-column diagram2018
- Author(s)
  星野歩，白石潤一
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-16K05186
[Presentation] Tableau formulas for one-row Macdonald polynomials of type C_n2018
- Author(s)
  Ayumu Hoshino
- Organizer
  Algebraic and Enumerative Combinatorics in Okayama
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05186
[Presentation] 一列型C_n型Macdonald多項式と変形カタラン数2018
- Author(s)
  星野歩
- Organizer
  2018年度RIMS共同研究（公開型）「組合せ論的表現論の諸相」
- Data Source
  KAKENHI-PROJECT-16K05186

1. 白石潤一 (20272536)

# of Collaborated Projects: 2 results

# of Collaborated Products: 10 results
2. Noumi Masatoshi

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Hoshino Ayumu 星野 歩

Research Projects

Research Products

Co-Researchers

Macdonald-Koornwinder多項式の解析的Pieri公式と明示公式の構成Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Degeneration scheme and explicit formula for Koornwinder polynomialsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Research of explicit formulas and associated algebraic structures for Macdonald polynomialsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Branching formula for q-Toda functions of type B.2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Branching Rules for Koornwinder Polynomials with One Column Diagrams and Matrix Inversions2020

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Polyhedral realizations of crystal bases B(λ) for quantum algebras of nonexceptional affine types2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Macdonald Polynomials of Type Cn with One-Column Diagrams and Deformed Catalan Numbers2018

Author(s)

Journal Title

DOI

Data Source

[Presentation] 鈎型C型Macdonald多項式の明示公式とPieri型公式2022

Author(s)

Organizer

Data Source

[Presentation] 変形Koornwinder作用素とC型Macdonald多項式II2021

Author(s)

Organizer

Data Source

[Presentation] 変形Koornwinder作用素とC型Macdonald多項式I2021

Author(s)

Organizer

Data Source

[Presentation] Pieri formula for Macdonald polynomials of type C with hook type diagrams2021

Author(s)

Organizer

Data Source

[Presentation] Kostka polynomials with one column diagrams of type B_n, C_n and D_n2019

Author(s)

Organizer

Data Source

[Presentation] Brunching Rules for Koornwinder polynomials with One Column Diagrams and Matrix Inversions2019

Author(s)

Organizer

Data Source

[Presentation] Conjecture concerning Bn q-Toda eigenfunctions2019

Author(s)

Organizer

Data Source

[Presentation] Macdonald polynomials of type C_n with One-Column Diagrams and Deformed Catalan Numbers2018

Author(s)

Organizer

Data Source

[Presentation] 一列型C, D 型Macdonald 多項式の明示公式2018

Author(s)

Organizer

Data Source

[Presentation] 一列型C，D型Macdonald多項式の明示公式2018

Author(s)

Hoshino Ayumu 星野歩