TAKEYAMA Yoshihiro

Affiliation
Institute of Pure and Applied Sciences
Official title
Professor
ORCID
0000-0001-7896-8933
Research fields
Algebra
Basic analysis
Research keywords
Hypergeometric functions
Classical analysis
Solvable models
Mathematical physics
q-analogue
Special functions
Multiple zeta values
Integrable systems
Difference equations
Representation theory
Research projects
数論的対象のq類似の包括的研究2022 -- 2025竹山 美宏Japan Society for the Promotion of Science/Grant-in-Aid for Scientific Research(C)3,900,000Yen
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 -- 2022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
2019-08 -- (current)筑波大学数理物質系教授
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 -- 2019-07筑波大学数理物質系准教授
Degree
2002DoctorKyoto University
Academic societies
-- (current)日本数学会
Articles
  • A q-analogue of symmetric multiple zeta value
    Takeyama Yoshihiro
    RAMANUJAN JOURNAL/Epub, 2023-06-26
  • Supercongruences of multiple harmonic q-sums and generalized finite/symmetric multiple zeta values
    Takeyama Yoshihiro; Tasaka Koji
    KYUSHU JOURNAL OF MATHEMATICS/77(1)/pp.75-120, 2023-02
  • A q-analogue of multiple zeta values and its application to number theory
    Takeyama Yoshihiro
    RIMS Kokyuroku Bessatsu/B91/pp.69-86, 2023-02
  • A deformation of multiple L-values
    Kato Masaki; Takeyama Yoshihiro
    RAMANUJAN JOURNAL/Epub, 2021-06
  • On a weighted sum of multiple T-values of fixed weight and depth
    Takeyama Yoshihiro
    Bulletin of the Australian Mathematical Society/104(3)/pp.398-405, 2021-03
  • Finite and symmetric Mordell–Tornheim multiple zeta values
    Bachmann Henrik; Takeyama Yoshihiro; Tasaka Koji
    Journal of the Mathematical Society of Japan/73(4)/pp.1129-1158, 2021-01
  • Special values of finite multiple harmonic q-series at roots of unity
    Bachmann Henrik; Takeyama Yoshihiro; Tasaka Koji
    Algebraic Combinatorics, Resurgence, Moulds and Applications (CARMA) Volume 2, IRMA Lectures in Mathematics and Theoretical Physics/32/pp.1-18, 2020-02
  • Derivations on the algebra of multiple harmonic q-series and their applications
    Takeyama Yoshihiro
    The Ramanujan Journal/52(1)/pp.41-65, 2019-05
  • Cyclotomic analogues of finite multiple zeta values
    Bachmann Henrik; Takeyama Yoshihiro; Tasaka Koji
    COMPOSITIO MATHEMATICA/154(12)/pp.2701-2721, 2018-12
  • On the Eigenfunctions for the Multi-species q-Boson System
    Takeyama Yoshihiro
    Funkcialaj Ekvacioj/61(3)/pp.349-376, 2018-12
    CiNii
  • 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
    CiNii
  • The algebra of a q-analogue of multiple harmonic series
    Takeyama Yoshihiro
    SIGMA Symmetry Integrability Geom. Methods Appl./9, 2013-10
    Tsukuba Repository
  • 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
  • more...
Books
  • 数学書の読みかた
    竹山 美宏
    森北出版, 2022-03
  • 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.
  • 多重ゼータ値の q 類似とその数論への応用
    竹山 美宏
    RIMS共同研究（公開型）「可積分系数理の諸相」/2021-08-27
  • Derivations on the algebra of multiple harmonic q -series
    Takeyama Yoshihiro
    Japan Europe Number Theory Exchange Seminar/2021-06-29
  • 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
  • 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
  • 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
  • Construction of solutions to the reduced qKZ equation
    Yoshihiro Takeyama
    Correlation functions in integrable models/2005-05-03
  • 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
  • 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
  • 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
  • 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
  • Differential equations compatible with boundary rational qKZ equations
    Yoshihiro Takeyama
    New trends in quantum integrable systems/2009-07-01
  • Differential equations compatible with boundary rational qKZ equation
    竹山美宏
    日本数学会年会/2010-03-01
  • 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
  • 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
  • more...
Teaching
2024-04 -- 2024-08Research in Analysis IIBUniversity of Tsukuba.
2024-04 -- 2024-08Research in Analysis IBUniversity of Tsukuba.
2024-04 -- 2024-08Research in Analysis IVBUniversity of Tsukuba.
2024-04 -- 2024-08Research in Analysis IVAUniversity of Tsukuba.
2024-10 -- 2025-02Research in Analysis VBUniversity of Tsukuba.
2024-10 -- 2025-02Research in Analysis IAUniversity of Tsukuba.
2024-04 -- 2024-08Research in Analysis VAUniversity of Tsukuba.
2024-10 -- 2025-02Research in Analysis VAUniversity of Tsukuba.
2024-10 -- 2025-02Research in Analysis IIAUniversity of Tsukuba.
2024-04 -- 2024-08Seminar on MathematicsUniversity of Tsukuba.
more...
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
Other activities
2021-06 -- 2021-06令和3年度 筑波大学教員免許状更新講習 講師
2018-03 -- 2018-03茨城県高校生科学研究発表会審査員

(Last updated: 2024-09-18)