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J-GLOBAL ID：200901034770091900
Update date: Apr. 12, 2023
Hoshino Ayumu
ホシノ アユム | Hoshino Ayumu
Affiliation and department：
Job title：
Professor
Research field (2)：
Algebra
, Basic analysis
Research keywords (2)：
可積分系
, 量子群
Research theme for competitive and other funds (4)：
- 2019 - 2023 Koornwinder多項式の退化隣接関係と安定性の解析・明示公式の構成
- 2016 - 2019 Macdonald多項式の明示的公式と付随する代数構造の研究
- 2007 - 2008 量子群の組合せ的表現論と可積分系の研究
- 2006 - 2007 量子群における結晶基底の多面体表示とその構造について
Papers (15)：
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Hoshino Ayumu, Ohkubo Yusuke, Shiraishi Jun'ichi. Branching formula for q-Toda functions of type B. Letters in Mathematical Physics. 2021. 111. 5. 126-134
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Ayumu Hoshino, Jun'ichi Shiraishi. Branching rules for Koornwinder polynomials with one column diagrams and matrix inversions. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2020. 16. 84-111
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Hoshino A., Nakada K. Polyhedral realizations of crystal bases B(λ) for quantum algebras of nonexceptional affine types. Journal of Mathematical Physics. 2019. 60. 9. 091704
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HOSHINO Ayumu, SHIRAISHI Jun'ichi. Macdonald Polynomials of Type C_n with One-Column Diagrams and Deformed Catalan Numbers. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2018. 14. 101
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A. Hoshino, K. Nakada. POLYHEDRAL REALIZATIONS OF CRYSTAL BASES B(lambda) FOR D-n((1)). COMMUNICATIONS IN ALGEBRA. 2016. 44. 5. 2193-2212
ｍore...
Lectures and oral presentations (9)：
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鈎型C型Macdonald多項式の明示公式とPieri型公式
(日本数学会2022年度秋季総合分科会(北海道大学) 無限可積分系セッション特別講演 2022)
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Macdonald polynomials of type C_n with one-column diagrams and deformed Catalan numbers
(Symmetries and Integrability of Difference Equations (SIDE) 13, International Conference (Japan) 2018)
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Tableau formulas for one-row Macdonald polynomials of type C_n
(Discrete Mathematics Seminar, The University of Vienna (Austria) 2018)
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Tableau formulas for one-row Macdonald polynomials of type C_n
(Algebraic Enumerative Combinatorics in Okayama, Okayama University (Japan) 2018)
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Deformed W algebras and tableau description of Macdonald polynomials
(International Conference on vertex operator algebras and related areas, Illinois State University (U.S.A.) 2008)
ｍore...
Professional career (1)：
Association Membership(s) (1)：
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