Rchr
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
- 2014 - 2019 量子モノドロミー保存変形とラックス形式
- 2013 - 2018 Research on the difference systems associated with multivariable elliptic hypergeometric functions with Weyl group symmetry
- 2012 - 2018 Bilinear method for multi-component coupled integrable systems
- 2014 - 2017 Study on Renormalization as Invariant Theory under Infinite-dimensional Groups
- 2014 - 2017 Representation of elliptic quantum groups and elliptic Ruijsenaars model
- 2014 - 2017 非線形発展方程式系におけるrogue wave解の一般的構成とその代数構造の研究
- 2011 - 2016 Study of general hypergeometric functions and integrable systems coming from monodromy preserving deformation
- 2012 - 2016 代数幾何と可積分系の融合と進化
- 2012 - 2016 モジュライ理論による代数幾何と可積分系の新たな展開
- 2010 - 2014 Representation theoretical aproach to multi-variate elliptic hypergeometric functions
- 2010 - 2014 Study of vector bundles using the theory of complexes
- 2011 - 2013 Unified viewpoint for hypergeometric functions and the pentagonal number theorem based on representation theory
- 2007 - 2010 Theory of Painleve systems and its new development
- 2007 - 2009 Representations of elliptic quantum groups and their applications to elliptic special functions
- 2006 - 2009 Studies on moduli of stable sheaves
- 2009 - 離散可積分系における幾何的方法
- 2005 - 2008 A study of commutative rings of differential operators in completely integrable models and their eigenfunctions
- 2004 - 2007 Representation Theory and Duality associated with Non-commutative Special Functions
- 2007 - 普遍指標の拡張と新しいソリトン方程式系
- 2007 - 代数幾何と可積分系の融合と新しい展開
- 2007 - 計算による数理科学の展開
- 2003 - 2006 Mathematical theory of dynamical systems of Painleve type
- 2003 - 2006 Algebra, Geometry, Analysis in non-linear equations
- 2003 - 2005 Parabolic Kostka polynomials, quiver varieties, crystal bases and tropicalcombinatorics
- 2002 - 2005 Mathematical Studies on the Painleve equations
- 2005 - 変分問題的な曲率条件を持つ曲面への可積分系の方法の応用
- 2005 - 箱玉系と組合せ的Bethe仮説
- 2005 - 超幾何・パンルヴェ系の総合的研究
- 2005 - モジュライ空間と可積分系の新しい展開
- 2004 - 2004 国際研究集会「離散可積分系理論の新展開(仮題)」に関する企画調査
- 2001 - 2004 Defining manifolds and symmetries of nonlinear special functions in several variables
- 2000 - 2002 Geometry on String Theory and Moduli spaces
- 1999 - 2002 Painleve equations and integrable systems
- 1999 - 2002 Rational singularities, Young diagram, Painleve equation
- 1999 - 2001 Study of special functions based on representation and invariant theories
- 1998 - 2000 Global Analysis of Painleve Equations
- 1997 - 1999 Modern development of special functions - approach from the representation theory and the integrals
- 1997 - 1999 Research on Periods of Algebraic Varieties and Hypergeometric Functions
- 1998 - 1998 幾何学における超幾何系の新展開
- 1998 - 1998 国際共同研究「超弦理論と量子コホモロジー」を組織する為の企画調査
- 1997 - 1998 数学研究支援のための自己学習型数式処理系の設計と開発
- 1997 - 1997 新しい研究分野「超幾何系」を組織するための企画調査
- 1996 - 1996 q完備空間の特徴付けについての研究
- 1996 - 1996 保型形式に付随する特殊関数の研究
- 1996 - 1996 Special Functions in Many Variables
- 1996 - 1996 Research on Structures of Knots and Manifolds as Models
- 1995 - 1996 Systems of Holonomic Differential Equations
- 1992 - 1996 無限自由度の可積分系および無限次元代数
- 1995 - 1995 保型形式のL関数の解析的研究
- 1994 - 1995 Topological invariants related to field theory
- 1994 - 1995 The theory of transformation groups and its application
- 1994 - 1994 高次元ソリトン方程式の解析
- 1994 - 1994 超幾何関数と量子群
- 1993 - 1993 離散型ソリトン方程式の解析
- 1993 - 1993 微分方程式の変換群
- 1993 - 1993 代数幾何学とその境界領域への応用
- 1991 - 1993 MATHEMATICAL PHYSICS,TOPOLOGY AND RELATED ALGEBRAIC STRUCTURE
- 1992 - 1992 スペクトル・散乱理論の研究
- 1991 - 1991 特殊函数と代数構造
- 1990 - 1991 Algebro-analytic study of partial differential equations
- 1990 - 1990 代数幾何学とその応用
- 1989 - 1989 量子群と可積分系
- 1989 - 1989 階別り一環の幾何学
- 1988 - 1988 非線型微分方程式の代数的研究
- 1987 - 1987 非線型偏微分方程式の可積分系
- 1986 - 1986 非線型偏微分方程式の可積分系
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Papers (56)：
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Masahiko Ito, Masatoshi Noumi. Elliptic extension of Gustafson's q-integral of type G2. Advances in Mathematics. 2020. 370. 107211-107211
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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
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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
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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
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M. Ito, Masatoshi NOUMI. Connection formula for the Jackson integral of type An and elliptic Lagrangeinterpolation. SIGMA. 2018. 14. No. 077,. 42
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MISC (8)：
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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
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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
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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
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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
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A realization of Mecdonald's symmetric polynomials on quantum homogeneous spaces. Int. J. Mod. Phys. A(Proc. Suppl.). 1993. 3. 218-223
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Books (4)：
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Special Issue on Relationship of Orthogonal Polynomials and Special Functions with Quantum Groups and Integrable Systems
SIGMA 2012
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Elliptic Integrable Systems
Rokko Lectures in Mathematics 2005
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Painleve equations through symmetry
American Mathematical Society 2004
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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)：
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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)
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Elliptic hypergeometric integrals and associated determinant formulas
(13th International Conference on Symmetry and Integrability of Difference Equations (SIDE 13) 2018)
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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)
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Elliptic hypergeometric integrals
(Summer Research Institute on q-Series 2018)
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Elliptic hypergeometric functions and elliptic difference Painlevé equation
(XIX International Congress on Mathmatical Physics 2018)
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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)：
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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