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J-GLOBAL ID:200901054777880714   Update date: Jan. 31, 2024

Noumi Masatoshi

ノウミ マサトシ | Noumi Masatoshi
Affiliation and department:
Job title: Specially Appointed Professor
Research field  (1): Basic analysis
Research theme for competitive and other funds  (71):
  • 2018 - 2023 タウ函数の特異極限における新しいソリトン方程式系とその応用
  • 2017 - 2022 代数幾何と可積分系の融合 - 理論の深化と数学・数理物理学における新展開 -
  • 2017 - 2022 代数幾何と可積分系の融合 - 種々のモジュライ空間と数学・数理物理学の新展開 -
  • 2017 - 2020 カロジェロ・モーザー・サザランド模型の可積分な拡張に関連する特殊函数の研究
  • 2015 - 2020 楕円差分の可積分系と特殊函数の研究
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Papers (56):
  • Masahiko Ito, Masatoshi Noumi. Elliptic extension of Gustafson's q-integral of type G2. Advances in Mathematics. 2020. 370. 107211-107211
  • Masatoshi Noumi, Simon Ruijsenaars, Yasuhiko Yamada. The Elliptic Painlevé Lax Equation vs. van Diejen's 8-Coupling Elliptic Hamiltonian. Symmetry, Integrability and Geometry: Methods and Applications. 2020
  • Masahiko Ito, Masatoshi Noumi. A determinant formula associated with the elliptic hypergeometric integrals of type BCn. Journal of Mathematical Physics. 2019. 60. 7. 071705-071705
  • Masatoshi NOUMI. Remarks on τ-functions for the difference Painlevé equations of type E8. Advanced Studies inPure Mathematics Representation Theory, Special Functions and Painlevé Equations -RIMS 2015pp. 1-65. 2018. 76
  • M. Ito, Masatoshi NOUMI. Connection formula for the Jackson integral of type An and elliptic Lagrangeinterpolation. SIGMA. 2018. 14. No. 077,. 42
more...
MISC (8):
  • 野海 正俊. Hecke環と対称多項式 : Macdonald多項式入門 (特集 《量子化》の発想 : 可積分系から幾何学まで). 数理科学. 2013. 51. 2. 39-45
  • KAJIWARA K, MASUDA Tetsu, NOUMI Masatoshi, OHTA Yasuhiro, YAMADA Yasuhiko. A geometric description of the elliptic Painlev ́e equation. Rokko Lectures in Mathematics 18 Elliptic integrable systems. 2005. 18. 43-48
  • 野海 正俊. パンルヴェ方程式,特殊多項式,可積分系 (特集 数理物理における代数解析的方法). 数理科学. 2000. 38. 11. 26-32
  • 野海 正俊, 山田 泰彦. Painleve型hierarchyのaffine Weyl群対称性(Painleve系, 超幾何系, 漸近解析). 数理解析研究所講究録. 2000. 1133. 117-123
  • A realization of Mecdonald's symmetric polynomials on quantum homogeneous spaces. Int. J. Mod. Phys. A(Proc. Suppl.). 1993. 3. 218-223
more...
Books (4):
  • Special Issue on Relationship of Orthogonal Polynomials and Special Functions with Quantum Groups and Integrable Systems
    SIGMA 2012
  • Elliptic Integrable Systems
    Rokko Lectures in Mathematics 2005
  • Painleve equations through symmetry
    American Mathematical Society 2004
  • Askey-Wilson polynomails: an affine Hecke algebra approach, in Laredo Lectures on Orthogonal Polynomials and Special Functions, R.Alvarez-Nodarse et al, Eds. Pp.111-144
    Nova Science Publishers 2004
Lectures and oral presentations  (69):
  • Ruijsenaars 系の固有函数:現状と課題
    (表現論と特殊函数セミナー 2019)
  • Elliptic hypergeometric integrals and associated determinant formulas
    (13th International Conference on Symmetry and Integrability of Difference Equations (SIDE 13) 2018)
  • G2 型 Gustafson q-ベータ積分の楕円化とその無限積表示について
    (日本数学会2018年秋季総合分科会 2018)
  • Elliptic hypergeometric integrals
    (Summer Research Institute on q-Series 2018)
  • Elliptic hypergeometric functions and elliptic difference Painlevé equation
    (XIX International Congress on Mathmatical Physics 2018)
more...
Education (1):
  • - 1983 上智大学 大学院理工学研究科数学専攻博士課程修了
Professional career (2):
  • 理学修士 (上智大学)
  • 理学博士 (上智大学)
Awards (2):
  • 2017 - Journal of Physics A Journal of Physics A Highlights of 2017 collection パンルヴェ方程式の幾何学的研究
  • 2013/01 - The American Mathematical Society The initial class of Fellows of the American Mathematical Society -
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