Takashi Takebe

Profile Information

Affiliation: Professor, Faculty of Mathematics, Higher School of Economics, Russia

Degree: PhD (Mathematical Sciences)

J-GLOBAL ID: 201101078177739400
researchmap Member ID: B000002436

External link: http://www.hse.ru/org/persons/6920869

可積分系全般（古典系 (KP, Toda hierarchies やその無分散極限)、量子系 (可解格子模型の Bethe Ansatz, 特に楕円型 R 行列で定義される XYZ 模型、8 vertex model, さらにそれらに対応する Gaudin 模型)) を研究しています。
2009 年からロシア国立大学経済高等学校数学学部（モスクワ）に移りました。

Research Interests

Research Areas

Research History

2007 - 2009

准教授, お茶の水女子大学大学院・人間文化創成科学研究科
2009

Professor, Higher School of Economics (Russia), Faculty of Mathematics
1999 - 2007

Faculty of Science, Ochanomizu University
1992 - 1999

助手, 東京大学大学院・数理科学研究科
1991 - 1992

助手, 東京大学理学部数学科

Papers

Q-Operators for Higher Spin Eight Vertex Models with an Even Number of Sites

Takashi Takebe

LETTERS IN MATHEMATICAL PHYSICS, 106(3) 319-340, Mar, 2016 Peer-reviewed
Dispersionless BKP Hierarchy and Quadrant Lowner Equation

Takashi Takebe

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 10(023), 2014 Peer-reviewed
An h-expansion of the Toda hierarchy

Kanehisa Takasaki, Takashi Takebe

ANALYSIS AND MATHEMATICAL PHYSICS, 2(2) 171-214, Jun, 2012 Peer-reviewed
An h-dependent formulation of the Kadomtsev-Petviashvili hierarchy

K. Takasaki, T. Takebe

THEORETICAL AND MATHEMATICAL PHYSICS, 171(2) 683-690, May, 2012 Peer-reviewed
Non-degenerate solutions of universal Whitham hierarchy

Kanehisa Takasaki, Takashi Takebe, Lee Peng Teo

J. Phys. A: Math. Theor., 43(32) 325205-(22p.), Jul, 2010 Peer-reviewed
Lowner equations, Hirota equations and reductions of the universal Whitham hierarchy

Kanehisa Takasaki, Takashi Takebe

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 41(47) 475206-(27pp), Nov, 2008 Peer-reviewed
Universal Whitham hierarchy, dispersionless Hirota equations and multicomponent KP hierarchy

Kanehisa Takasaki, Takashi Takebe

PHYSICA D-NONLINEAR PHENOMENA, 235(1-2) 109-125, Nov, 2007 Peer-reviewed
Lowner equations and dispersionless hierarchies

Takashi Takebe, Lee-Peng Teo, Anton Zabrodin

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 39(37) 11479-11501, Sep, 2006 Peer-reviewed
Coupled Modified KP Hierarchy and Its Dispersionless Limit

Takashi Takebe, Lee-Peng Teo

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2 072, 2006 Peer-reviewed
Lowner equations and dispersionless hierarchies

Kanehisa Takasaki, Takashi Takebe

DIFFERENTIAL GEOMETRY AND PHYSICS, 10(Differential geometry and physics) 438-+, 2006 Peer-reviewed
Trigonometric degeneration and orbifold Wess-Zumino-Witten model. II

T Takebe

Infinite Dimensional Algebras and Quantum Integrable Systems, 237(Infinite dimensional algebras and quantum integrable systems) 205-224, 2005 Peer-reviewed
Trigonometric degeneration and orbifold Wess-Zumino-Witten model.

T Takebe

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 19(S2 (Conformal Field Theory and Integrable Models)) 418-435, May, 2004 Peer-reviewed
An integrable system on the moduli space of rational functions and its variants

K Takasaki, T Takebe

JOURNAL OF GEOMETRY AND PHYSICS, 47(1) 1-20, Jul, 2003 Peer-reviewed
A note on the modified KP hierarchy and its (yet another) dispersionless limit

T Takebe

LETTERS IN MATHEMATICAL PHYSICS, 59(2) 157-172, Feb, 2002 Peer-reviewed
Wess-Zumino-Witten model on elliptic curves at the critical level

G Kuroki, T Takebe

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 34(11) 2403-2413, Mar, 2001 Peer-reviewed
Bosonization and integral representation of solutions of the Knizhnik-Zamolodchikov-Bernard equations

G Kuroki, T Takebe

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 204(3) 587-618, Aug, 1999 Peer-reviewed
Separation of variables in the elliptic Gaudin model

EK Sklyanin, T Takebe

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 204(1) 17-38, Jul, 1999 Peer-reviewed
Wakimoto modules and Knizhnik-Zamolodchikov-Bernard equations

Gen Kuroki, Takashi Takebe

Progress of Theoretical Physics Supplement, 135(135) 138-148, 1999 Peer-reviewed
Twisted Wess-Zumino-Witten models on elliptic curves

G Kuroki, T Takebe

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 190(1) 1-56, Dec, 1997 Peer-reviewed
A system of difference equations with elliptic coefficients and Bethe vectors

T Takebe

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 183(1) 161-181, Jan, 1997 Peer-reviewed

Misc.

hbar-Dependent KP hierarchy

Kanehisa Takasaki, Takashi Takebe

May 4, 2011
無分散可積分系と関数論(可積分系数理の眺望)

武部尚志

数理解析研究所講究録, 1541 166-177, Apr, 2007
Radial Loewner equation and dispersionless cmKP hierarchy

Kanehisa Takasaki, Takashi Takebe

Jan 30, 2006
Bethe ansatz for higher spin eight-vertex models (vol 28, pg 6675, 1995)

T Takebe

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 29(7) 1563-1566, Apr, 1996
W-infinity algebras and nonlinear integrable systems

TAKASAKI Kanehisa, TAKEBE Takashi

RIMS Kokyuroku, 869 182-193, May, 1994
Sklyanin代数のhigher spin表現を用いたBethe Ansatz(複素解析幾何学とその周辺の研究:数理物理と複素幾何)

武部尚志

数理解析研究所講究録, 808 227-243, Sep, 1992
戸田格子Hierarchyの初期値問題の表現論的意味(超局所解析とその応用)

武部尚志

数理解析研究所講究録, 750 134-137, May, 1991
戸田格子ヒエラルヒーと古典r行列(非線型積分可能系の代数解析学)

武部尚志

数理解析研究所講究録, 694 107-126, May, 1989

Books and Other Publications

モスクワの数学ひろば 3 (3) 代数篇／対称性・数え上げ

パラモノヴァ, ヴィンベルク, コーハシ

海鳴社, Mar, 2007 (ISBN: 4875252390)
数学で物理を

武部尚志

日本評論社, Mar, 2007 (ISBN: 4535784698)
可解格子模型と共形場理論の話題から

武部尚志

上智大学数学講究録 47, Dec, 2006
Basic methods of soliton theory

Ivan Cherednik, anslated from the Russian by, Takashi Takeb

World Scientific, 1996 (ISBN: 9810226438)

Professional Memberships

Teaching Experience

Research Projects

Search for new connection of integrable systems and mathematical physics

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2007 - 2009

TAKASAKI Kanehisa, SASAKI Ryu, TAKEBE Takashi, IKEDA Takeshi
Geometric structure and integrable systems in mathematical physics

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2004 - 2006

TAKASAKI Kanehisa, IKEDA Takeshi, SASAKI Ryu, SHIMIZU Yuji, TAKEBE Takashi, FUJII Michihiko
Representation theory of Elliptic Quantum Groups and Deformation of W-algebra

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2003 - 2005

KONNO Hitoshi, JIMBO Michio, TAKEBE Takashi, MORITA Yoshiyuki, KOJIMA Takeo
Topology of Solutions of 1st order PDEs and web g

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2002 - 2005

NAKAI Isao, SUWA Tatsuo, SATO Hajime, ASUKE Taro, TAKEBE Takashi, MAJIMA Hideyuki
Integrable systems with higher genus spectral parameter

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2002 - 2003

TAKASAKI Kanehisa, SASAKI Ryu, TAKEBE Takashi, IKEDA Takeshi, UEKI Naomasa, UE Masaaki
Representation Theory of Elliptic Quantum Groups and the Elliptic q-KZB Equation

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2002 - 2003

EGUCHI Masaaki, TAKEBE Takashi, JIMBO Michio, KONNO Hitoshi, KUMAHARA Keisaku, MORITA Yoshiyuki
Mathematics in ultradiscrete integrable systems

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2000 - 2003

TOKIHIRO Tetsuji, KUNIBA Atsuo, OKAMOTO Kazuo, SATSUMA Junkichi, HIKAMI Kazuo, TAKEBE Takashi
Representation theory of elliptic quantum groups and its application

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 1999 - 2001

KONNO Hitoshi, JIMBO Michio, TANISAKI Toshiyuki, EGUCHI Masaaki, TAKEBE Takashi
作用素環論における分類理論とその応用

科学研究費助成事業, 一般研究(C), 日本学術振興会, 1995 - 1995

河東泰之, 牛腸徹, 武部尚志
等質空間上の微分方程式系

科学研究費助成事業, 一般研究(C), 日本学術振興会, 1995 - 1995

大島利雄, 武部尚志, 松尾厚, 片岡清臣, 織田孝幸, 小松彦三郎
線形及び非線性超函数論と超局所解析

科学研究費助成事業, 一般研究(C), 日本学術振興会, 1994 - 1994

片岡清臣, 武部尚志, 堤誉志雄, 大島利雄, 小松彦三郎
境界値問題及び混合問題の超局所解析

科学研究費助成事業, 一般研究(C), 日本学術振興会, 1993 - 1993

片岡清臣, 武部尚志, 堤誉志雄, 大島利雄, 小松彦三郎
作用素環論における分類問題の研究とその応用

科学研究費助成事業, 一般研究(C), 日本学術振興会, 1993 - 1993

河東泰之, 大槻知忠, 午腸徹, 武部尚志, 宇沢達

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Misc.

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