BIMSA > 武部尚志
研究员 武部尚志

团队: 数学物理

办公室: A3-3-203

邮箱: takebe@bimsa.cn

研究方向: 数学物理

个人简介

Takashi Takebe 从事数学物理可积系统方向的研究。 2023年8月前，他在俄罗斯莫斯科国立研究大学高等经济学院数学系担任教授，并于2023年9月加入北京雁栖湖应用数学研究院任研究员一职。

研究兴趣

  • mathematical physics, integrable systems

教育经历

  • 1995 -      the University of Tokyo      Mathematics      博士
  • 1987 - 1989      the University of Tokyo      Mathematics      硕士
  • 1983 - 1987      the University of Tokyo      Mathematics      学士

工作经历

  • 2009 - 2023      National Research University Higher School of Economics      Professor
  • 1999 - 2009      Ochanomizu University      Associate professor
  • 1991 - 1999      the University of Tokyo      Assistant professor

出版物

  • [1] T. Takebe, A. Zabrodin, Multi-component Toda lattice hierarchy, arXiv, 2412.20122, 68 (2024)
  • [2] T. Takebe, Elliptic integrals and elliptic functions, Springer Verlag, Moscow Lectures series, 9 (2023)
  • [3] T. Takebe, A. Zabrodin, Dispersionless version of the constrained Toda hierarchy and symmetric radial Löwner equation, Lett. Math. Phys., 112(105) (2022)
  • [4] V. Akhmedova, T. Takebe, A. Zabrodin, Löwner equations and reductions of dis- persionless hierarchies, Journal of Geometry and Physics, 162(104100) (2021)
  • [5] T. Takebe, Q-operators for higher spin eight vertex models with a rational anisotropy parameter, Lett. Math. Phys., 109, 1867-1890 (2019)
  • [6] T. Takebe, 楕円積分と楕円関数, (日本評論社) (2019)
  • [7] V. Akhmedova, T. Takebe, A. Zabrodin, Multi-variable reductions of the dispersionless DKP hierarchy, J. Phys. A, 50(485204) (2017)
  • [8] T. Takebe, Q-Operators for Higher Spin Eight Vertex Models with an Even Number of Sites, Lett. Math. Phys., 106, 319-340 (2016)
  • [9] T. Takebe, Dispersionless BKP hierarchy and quadrant Löwner equation, SIGMA, 10(023) (2014)
  • [10] T. Takebe, Lectures on Dispersionless Integrable Hierarchies, Rikkyo University Mathematical Physics Research Centre Lecture Notes, 2 (2014)
  • [11] K. Takasaki, T. Takebe, An h̄-expansion of the Toda hierarchy: a recursive construction of solutions, Analysis and Mathematical Physics, 2, 171-214 (2012)
  • [12] K. Takasaki, T. Takebe, An h̄-dependent formulation of the Kadomtsev-Petviashvili hi- erarchy, Theoretical and Mathematical Physics, 171(2), 683-690 (2012)
  • [13] K. Takasaki, T. Takebe, L.-P. Teo, Non-degenerate solutions of the universal Whitham hierarchy, J. Phys. A, 43(325205) (2010)
  • [14] K. Takasaki, T. Takebe, Löwner equations, Hirota equations and reductions of universal Whitham hierarchy, J. Phys. A, 41(475206) (2008)
  • [15] K. Takasaki, T. Takebe, Universal Whitham hierarchy, dispersionless Hirota equa- tions and multi-component KP hierarchy, Physica D, 235, 109-125 (2007)
  • [16] T. Takebe, 数学で物理を, (日本評論社) (2007)
  • [17] T. Takebe, L.-P. Teo, Coupled modified KP hierarchy and its dispersionless limit, SIGMA, 2(072) (2006)
  • [18] T. Takebe, N. Sekiya, 可解格子模型と共形場理論の話題から, 上智大学数学講究録, 47 (2006)
  • [19] T. Takebe, L.-P. Teo, A. Zabrodin, Löwner equations and dispersionless hierarchies, J. Phys. A, 39, 11479-11501 (2006)
  • [20] T. Takebe, Trigonometric Degeneration and Orbifold Wess-Zumino-Witten Model. II, Progress in Mathematics, 237, 205-224 (2005)
  • [21] T. Takebe, Trigonometric Degeneration and Orbifold Wess-Zumino-Witten Model. I, International Journal of Modern Physics, A, 19, 418-435 (2004)
  • [22] K. Takasaki, T. Takebe, An integrable system on the moduli space of rational functions and its variants, Journal of Geometry and Physics, 47, 1-20 (2003)
  • [23] T. Takebe, A note on modified KP hierarchy and its (yet another) dispersionless limit, Lett. Math. Phys., 59, 157-172 (2002)
  • [24] G. Kuroki, T. Takebe, Wess-Zumino-Witten model on elliptic curves at the critical level, J. Phys. A, 2403-2414 (2001)
  • [25] E. K. Sklyanin, T. Takebe, Separation of Variables in the Elliptic Gaudin Model, Commun. Math. Phys., 204, 17-38 (1999)
  • [26] G. Kuroki, T. Takebe, Bosonization and integral representation of solutions of the Knizhnik-Zamolodchikov-Bernard equations, Commun. Math. Phys., 204, 587-618 (1999)
  • [27] G. Kuroki, T. Takebe, Twisted Wess-Zumino-Witten models on elliptic curves,, Commun. Math. Phys., 190, 1-56 (1997)
  • [28] T. Takebe, A system of difference equations with elliptic coefficients and Bethe vectors, Commun. Math. Phys., 183, 161-182 (1997)
  • [29] T. Takebe, Bethe Ansatz for Higher Spin XYZ Models — Low-lying Excitations —, J. Phys. A, 29, 6961-6966 (1996)
  • [30] E. K. Sklyanin, T. Takebe, Algebraic Bethe Ansatz for XYZ Gaudin model, Phys. Lett. A, 219, 217-225 (1996)
  • [31] K. Takasaki, T. Takebe, Quasi-classical limit of KP hierarchy, W-symmetries and free fermions, Zapiski nauch. semi. POMI, 235, 295-303 (1996)
  • [32] K. Takasaki, T. Takebe, Integrable Hierarchies and Dispersionless Limit, Rev. Math. Phys., 7, 743-803 (1995)
  • [33] K. Takasaki, T. Takebe, Loewner equations and dispersionless hierarchies, Nankai Tracts in Mathematics, 10 (1995)
  • [34] T. Takebe, Bethe Ansatz for Higher Spin Eight-Vertex Models, J. Phys. A, 28, 6675-6706 (1995)
  • [35] T. Nakatsu, A. Kato, M. Noumi, T. Takebe, Topological String, Matrix Integral, and Singularity Theory, Phys. Lett. B, 322, 192-197 (1994)
  • [36] T. Takebe, Generalized XY Z Model associated to Sklyanin algebra,, International Journal of Modern Physics, A, 3A, 440-443 (1993)
  • [37] K. Takasaki, T. Takebe, Quasi-classical limit of Toda lattice hierarchy and W-symmetries, Lett. Math. Phys., 28, 165-176 (1993)
  • [38] K. Takasaki, T. Takebe, SDiff(2) KP Hierarchy, Adv. Series in Math. Phys., 16, 888-922 (1992)
  • [39] T. Takebe, From General Zakharov-Shabat Equations to the KP and the Toda Lattice Hierarchies, Adv. Series in Math. Phys., 16, 923-940 (1992)
  • [40] T. Takebe, Generalized Bethe Ansatz with general spin representations of the Sklyanin algebra, J. Phys. A, 25, 1071-1083 (1992)
  • [41] T. Takebe, О единственности формфакторов для редуцированных модели синус-Гордона, Записки научных семинаров ЛОМИ, 199, 177-181 (1992)
  • [42] K. Takasaki, T. Takebe, SDiff(2) Toda Equation – Hierarchy, Tau Function and Symmetries –, Lett. Math. Phys., 23, 205-214 (1991)
  • [43] T. Takebe, Representation theoretical meaning of the initial value problem for the Toda lattice hierarchy II, Publ. RIMS, 27, 491-503 (1991)
  • [44] T. Takebe, Representation theoretical meaning of the initial value problem for the Toda lattice hierarchy I, Lett. Math. Phys., 21, 77-84 (1991)
  • [45] M. Fukuma, T. Takebe, The Toda Lattice Hierarchy and Deformations of Conformal Field Theories, Modern Physics Letters A, 5(7), 509-518 (1990)
  • [46] T. Takebe, Toda Lattice Hierarchy and Conservation Laws, Commun. Math. Phys., 129, 281-318 (1990)

 

更新时间: 2025-05-20 15:34:25