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Takeyama Yoshihiro

Affiliation
Faculty of Pure and Applied Sciences
Official title
Associate Professor
Research fields
Basic analysis
Research keywords
Integrable systems
Difference equations
Representation theory
Research projects
多重ゼータ値のq類似およびその特殊化の代数解析的研究2018 -- 2021竹山 美宏Japan Society for the Promotion of Science/Grant-in-Aid for Scientific Research(C)4,290,000Yen
可積分系に現れる差分方程式の代数解析2014 -- 2017竹山 美宏Japan Society for the Promotion of Science/基盤研究(C)4,680,000Yen
Representation theoretical structure in integrable massive quantum field theories2008-04 -- 2011-03/
量子KZ方程式の解空間の解析と可積分系への応用2011-04 -- 2014-03/
量子KZ方程式の解空間の解析と可積分系への応用2011 -- 2013Japan Society of for the Promotion of Science/若手研究(B)2,600,000Yen
有質量な可積分場の理論の表現論的構造2008 -- 2010Japan Society of for the Promotion of Science/若手研究(B)3,640,000Yen
量子可積分系における物理量の代数的構造                     2005 -- 2007Japan Society of for the Promotion of Science/若手研究(B)2,900,000Yen
Career history
2004-04 -- 2011-09筑波大学 大学院数理物質科学研究科 講師
2011-10 -- 2011-10筑波大学 数理物質系 講師
2011-11 -- (current)筑波大学 数理物質系 准教授
Articles
  • A deformation of affine Hecke algebra and integrable stochastic particle system
    Takeyama Yoshihiro
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL/47(46), 2014-11
  • A Discrete Analogue of Periodic Delta Bose Gas and Affine Hecke Algebra
    Takeyama Yoshihiro
    Funkcialaj Ekvacioj/57(1)/pp.107-118, 2014-04
  • The algebra of a q-analogue of multiple harmonic series
    Takeyama Yoshihiro
    SIGMA Symmetry Integrability Geom. Methods Appl./9, 2013-10
  • A restricted sum formula for a q-analogue of multiple zeta values
    Takeyama Yoshihiro
    Symmetries, Integrable Systems and Representations, Springer Proceedings in Mathematics & Statistics/40/pp.561-574, 2013-01
  • Determinant formula for solutions of the quantum Knizhnik-Zamolodchikov equation associated with U_{q}(sl_{n}) at |q|=1
    T. Miwa; Y. Takeyama; V. Tarasov
    Publications of the Research Institute for Mathematical Sciences/35(6)/p.871-892, 1999-01
  • Determinant formula for the solutions of the quantum Knizhnik-Zamolodchikov equation with |q|=1
    T. Miwa; Y. Takeyama
    Contemporary Mathematics/248/p.377-393, 1999-01
  • The integral formula for the solutions of the quantum Knizhnik-Zamolodchikov equation associated with U_q(sl_n) for |q|=1
    T. Miwa; Y. Takeyama
    CRM Proceedings & Lecture Notes/25/p.315-327, 2000-01
  • The q-twisted cohomology and the q-hypergeometric function at |q|=1
    Yoshihiro Takeyama
    Publications of the Research Institute for Mathematical Sciences/37(1)/p.71-89, 2001-01
  • On form factors of the SU(2) invariant Thirring model
    A. Nakayashiki; Y. Takeyama
    Progress in Mathematical Physics/23/p.357-390, 2002-01
  • On solutions of the q-hypergeometric equation with q^N=1
    Yoshihiro Takeyama
    The Ramanujan Journal/6(3)/p.369-378, 2002-01
  • Form factors of SU(N) invariant Thirring model
    Yoshihiro Takeyama
    Publications of the Research Institute for Mathematical Sciences/39(1)/p.59-116, 2003-01
  • Symmetric polynomials vanishing on the diagonals shifted by roots of unity
    B. Feigin; M. Jimbo; T. Miwa; E. Mukhin; Y. Takeyama
    International Mathematics Research Notices/2003(18)/p.999-1014, 2003-01
  • Particle content of the (k,3)-configurations
    B. Feigin; M. Jimbo; T. Miwa; E. Mukhin; Y. Takeyama
    Publications of the Research Institute for Mathematical Sciences/40(1)/p.163-220, 2004-01
  • Fermionic formulas for (k,3)-admissible configurations
    B. Feigin; M. Jimbo; T. Miwa; E. Mukhin; Y. Takeyama
    Publications of the Research Institute for Mathematical Sciences/40(1)/p.125-162, 2004-01
  • Form factors and action of U_{\sqrt{-1}}(sl~_2)\infty$-cycles
    M. Jimbo; T. Miwa; E. Mukhin; Y. Takeyama
    Communications in Mathematical Physics/245(3)/p.551-576, 2004-01
  • A functional model for the tensor product of level 1 highest and level -1 lowest modules for the quantum affine algebra U_q(sl^_2)
    B. Feigin; M. Jimbo; M. Kashiwara; T. Miwa; E. Mukhin; Y....
    European Journal of Combinatorics/25(8)/p.1197-1229, 2004-01
  • Counting minimal form factors of the restricted sine-Gordon model
    M. Jimbo; T. Miwa; Y. Takeyama
    Moscow Mathematical Journal/4(4)/p.787-846, 2004-01
  • A recursion formula for the correlation functions of an inhomogeneous XXX model
    H. Boos; M. Jimbo; T. Miwa; F. Smirnov; Y. Takeyama
    Algebra i Analiz/17(1)/p.115-159, 2005-01
  • Fermionic basis for space of operators in the XXZ model
    H. Boos; M. Jimbo; T. Miwa; F. Smirnov; Y. Takeyama
    Bethe Ansats: 75 years later, SISSA Proceedings of Science, 2007-01
  • A q-analogue of non-strict multiple zeta values and basic hypergeometric series
    Yoshihiro Takeyama
    Proceedings of the American Mathematical Society/137(9)/p.2997-3002, 2009-01
  • Differential equations compatible with boundary rational qKZ equation
    Yoshihiro Takeyama
    Proceedings of the Infinite Analysis 09 -- New Trends in Quantum Integrable Systems/p.421-450, 2010-11
  • 多重ゼータ値の類似が満たす関係式について (多重ゼータ値の諸相)
    竹山 美宏
    RIMS Kokyuroku/1813/pp.66-72, 2012-10
  • Quadratic relations for a q-analogue of multiple zeta values
    Takeyama Yoshihiro
    RAMANUJAN JOURNAL/27(1)/pp.15-28, 2012-01
  • A RECURSION FORMULA FOR THE CORRELATION FUNCTIONS OF AN INHOMOGENEOUS XXX MODEL(Solvable Lattice Models 2004 : Recent Progress on Solvable Lattice Models )
    竹山 美宏
    RIMS Kokyuroku/1480/pp.59-65, 2006-04
  • The Quantum Knizhnik-Zamolodchikov Equation and Non-symmetric Macdonald Polynomials
    Kasatani Masahiro; Takeyama Yoshihiro
    Funkcialaj Ekvacioj/50(3)/pp.491-509, 2007-12
Books
  • 定理のつくりかた
    竹山 美宏
    森北出版, 2018-03
  • ベクトル空間 (日評ベーシック・シリーズ)
    竹山 美宏
    日本評論社, 2016-06
  • 線形代数 行列と数ベクトル空間 (日評ベーシック・シリーズ)
    竹山 美宏
    2015-07
  • 微積分学入門 -例題を通して学ぶ解析学-
    磯崎洋; 筧知之; 木下保; 籠屋恵嗣; 砂川秀明; 竹山美宏
    培風館, 2008-05
  • 日常に生かす数学的思考法
    竹山美宏
    化学同人, 2011-03
Conference, etc.
  • |q|=1における量子KZ方程式と多重正弦関数
    竹山 美宏
    多重三角関数とその一般化/2018-03-06
  • 1のベキ根をパラメータにもつ有限多重調和級数と有限(実)多重ゼータ値
    竹山 美宏
    関西多重ゼータ研究会/2017-09-10
  • On the eigenfunctions for the multi-species q-Boson system
    Takeyama Yoshihiro
    日本数学会年会/2017-03-26
  • 可積分確率過程に現れる対称関数
    Takeyama Yoshihiro
    非線形波動研究の深化と展開/2016-11-04
  • 可積分確率過程の表現論的構成
    竹山 美宏
    Algebraic Lie Theory and Representation Theory/2016-06-11
  • Algebraic construction of multi-species q-Boson system
    Takeyama Yoshihiro
    Infinite Analysis 16/2016-03-25
  • Algebraic construction of multi-species q-Boson system
    竹山 美宏
    日本数学会年会/2016-03-19
  • A deformation of affine Hecke algebra and integrable stochastic particle system
    Takeyama Yoshihiro
    From Macdonald Processes to Hecke Algebras and Quantum Integrable Systems/2014-05-28
  • A discrete analogue of periodic delta Bose gas and affine Hecke algebra
    竹山 美宏
    日本数学会年会/2014-03-17
  • A discrete analogue of periodic delta Bose gas and affine Hecke algebra
    Takeyama Yoshihiro
    JSPS-NWO Seminar: Analysis, Geometry and Group Representations for Homogeneous Spaces/2013-08-27
  • A generalization of duality for finite multiple harmonic sum
    Takeyama Yoshihiro
    Infinite Analysis: Past, Present and Future/2013-03-06
Teaching
2018-10 -- 2019-02Special Research on Mathematics IBUniversity of Tsukuba.
2018-10 -- 2019-02Special Research on Mathematics IIBUniversity of Tsukuba.
2018-10 -- 2019-02Special Research on Mathematics IIIBUniversity of Tsukuba.
2018-10 -- 2019-02Seminar on Special Research on Mathematics IIIBUniversity of Tsukuba.
2018-04 -- 2018-08Special Research on Mathematics IAUniversity of Tsukuba.
2018-04 -- 2018-08Special Research on Mathematics IIAUniversity of Tsukuba.
2018-04 -- 2018-08Special Research on Mathematics IIIAUniversity of Tsukuba.
2018-04 -- 2018-08Seminar on Special Research on Mathematics IIIAUniversity of Tsukuba.
2018-10 -- 2019-02Calculus IIUniversity of Tsukuba.
2018-04 -- 2018-08Introduction to Differential EquationsUniversity of Tsukuba.
Talks
  • On relations for a q-analogue of multiple zeta values
    Yoshihiro Takeyama
    Infinite Analysis 11 - Frontier of Integrability -/2011-07-01
  • 多重ゼータ値のq類似が満たす2次関係式
    竹山美宏
    日本数学会年会/2011-03-01
  • KP階層と佐藤グラスマン多様体
    竹山美宏
    p-進佐藤理論と数論幾何/2010-09-01
  • 多重ゼータ値のq類似が満たす関係式について
    竹山美宏
    多重ゼータ値の諸相/2010-09-01
  • The -twisted cohomology and the -hypergeometric function at
    竹山美宏
    日本数学会秋季総合分科会/2000-09-01
  • invariant Thirring 模型のおける形状因子について
    竹山美宏
    短期共同研究「可積分系研究における双線形化法とその周辺」/2001-07-01
  • On form factors of invariant Thirring model
    中屋敷厚; 竹山美宏
    日本数学会秋季総合分科会/2001-09-01
  • Form factors of invariant Thirring model
    竹山美宏
    日本数学会秋季総合分科会/2002-09-01
  • Counting minimal form factors of the restricted sine-Gordon model
    神保道夫; 三輪哲二; 竹山美宏
    日本数学会秋季総合分科会/2003-09-01
  • 量子アフィン代数 U_{q}(sl_2^) のテンソル積表現の多項式実現
    B. Feigin; 神保道夫; 柏原正樹; 三輪哲二; E. Mukhin; 竹山美宏
    日本数学会年会/2004-03-01
  • A recursion formula for the correlation functions of an inhomogeneous XXX model
    H. Boos; 神保道夫; 三輪哲二; F. Smirnov; 竹山美宏
    日本数学会秋季総合分科会/2004-09-01
  • Reduced qKZ equation and correlation functions of the XXZ model
    H. Boos; 神保道夫; 三輪哲二; F. Smirnov; 竹山美宏
    日本数学会年会/2005-03-01
  • Traces on the Sklyanin algebra and correlation functions of the eight-vertex model
    H. Boos; 神保道夫; 三輪哲二; F. Smirnov; 竹山美宏
    日本数学会秋季総合分科会/2005-09-01
  • XXX模型の相関関数の代数的表示
    H. Boos; 神保道夫; 三輪哲二; F. Smirnov; 竹山美宏
    日本数学会年会/2006-03-01
  • Hidden Grassmann structure in the XXZ model
    H. Boos; 神保道夫; 三輪哲二; F. Smirnov; 竹山美宏
    日本数学会秋季総合分科会/2006-09-01
  • Differential equations compatible with boundary rational qKZ equation
    竹山美宏
    日本数学会年会/2010-03-01
  • Differential equations compatible with boundary rational qKZ equations
    Yoshihiro Takeyama
    New trends in quantum integrable systems/2009-07-01
  • The rational qKZ equation and shifted non-symmetric Jack polynomials
    筧三郎; 西澤道知; 斎藤義久; 竹山美宏
    日本数学会年会/2009-03-01
  • Fermionic basis for space of operators in the XXZ model
    H. Boos; 神保道夫; 三輪哲二; F. Smirnov; 竹山美宏
    日本数学会秋季総合分科会/2007-09-01
  • 量子アフィン代数のテンソル積表現と形状因子の理論
    竹山美宏
    第七回「代数群と量子群の表現論」研究集会/2004-06-19
  • A recursion formula for the correlation functions of an inhomogeneous XXX model
    Yoshihiro Takeyama
    共同研究集会「可解格子模型の最近の進展」/2004-07-20
  • Counting form factors of the restricted sine-Gordon model
    Yoshihiro Takeyama
    Mathematical aspects of string theory/2004-07-29
  • Construction of solutions to the reduced qKZ equation
    Yoshihiro Takeyama
    Correlation functions in integrable models/2005-05-03
  • integrable spin chain の相関関数の代数的表示式とその周辺
    竹山美宏
    日本数学会年会無限可積分系セッション特別講演/2007-03-30
Professional activities
2015-07 -- 2017-06日本数学会教育委員会運営委員
2009-07 -- 2015-06日本数学会教育委員会専門委員

(Last updated: 2018-06-22)