Takashi Takebe

Professor:Faculty of Mathematics
Research Fellow:International Laboratory of Representation Theory and Mathematical Physics

Takashi Takebe has been at HSE since 2009.

Education and Degrees

1995
PhD in Mathematical Physics
Graduate School of Mathematical Sciences. The University of Tokyo
Thesis Title: Bethe Ansatz for higher spin eight vertex models
1991
Doctoral programme
University of Tokyo
1987
Bachelor's
University of Tokyo

Professional Interests

Integrable systems conformal field theories KP hierarchy solvable lattice models Toda lattice hierarchy

Student Term / Thesis Papers

Bachelor
D. Khadush «Plane Partitions and Young Diagrams, q-Catalan Numbers and Their Hankel Determinants». Faculty of Mathematics, 2017

Full list of of student term / thesis papers

Courses (2018/2019)

Calculus (Bachelor’s programme; Faculty of Mathematics; programme "Mathematics"; 1 year, 1-4 module)Rus
Differential Equations (Bachelor’s programme; Faculty of Mathematics; programme "Mathematics"; 2 year, 1, 2 module)Rus
Discrete Mathematics (Bachelor’s programme; Faculty of Mathematics; programme "Совместный бакалавриат НИУ ВШЭ и ЦПМ"; 1 year, 1, 4 module)Rus
Research Seminar "Classical Analysis and ODEs" (Faculty of Mathematics; 1 year, 1, 2 module)Eng
Theory of Functions of Complex Variable (Bachelor’s programme; Faculty of Mathematics; programme "Mathematics"; 3 year, 1, 2 module)Rus
Theory of Functions of Complex Variable (Bachelor’s programme; Faculty of Mathematics; programme "Mathematics"; 2 year, 3 module)Rus
Past Courses

Courses (2017/2018)

Calculus (Bachelor’s programme; Faculty of Mathematics; programme "Mathematics"; 2 year, 1-4 module)Rus
Differential Equations (Bachelor’s programme; Faculty of Mathematics; programme "Mathematics"; 2 year, 1, 2 module)Rus
Introduction to Discrete Mathematics (Bachelor’s programme; Faculty of Mathematics; programme "Mathematics"; 1 year, 4 module)Rus
Mathematics. Licenciatus (Bachelor’s programme; Faculty of Mathematics; programme "Mathematics"; 3 year, 4 module)Rus
Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; programme "Mathematics"; 1 year, 1-4 module)Rus
Mechanics (Bachelor’s programme; Faculty of Mathematics; programme "Mathematics"; 2 year, 4 module)Rus
Project Proposal (Bachelor’s programme; Faculty of Mathematics; programme "Mathematics"; 4 year, 3 module)Rus
Research Seminar "Elliptic Functions" (Faculty of Mathematics; 1 year, 3, 4 module)Eng
Theory of Functions of Complex Variable (Bachelor’s programme; Faculty of Mathematics; programme "Mathematics"; 2 year, 3 module)Rus

Courses (2016/2017)

Calculus (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
Introduction to Discrete Mathematics (Bachelor’s programme; Faculty of Mathematics; 1 year, 4 module)Rus
Mathematics. Licenciatus (Bachelor’s programme; Faculty of Mathematics; 3 year, 4 module)Rus
Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-4 module)Rus
Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
Theory of Functions of Complex Variable (Bachelor’s programme; Faculty of Mathematics; 2 year, 3, 4 module)Rus

Courses (2015/2016)

Algebra (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
Complex Analysis (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Eng
Dynamical Systems (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-4 module)Rus
Introduction to Discrete Mathemetics (Bachelor’s programme; Faculty of Mathematics; 1 year, 2, 3 module)Rus
Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-4 module)Rus
Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
Research Seminar "Elliptic Functions" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Eng
Theory of Functions of Complex Variable (Bachelor’s programme; Faculty of Mathematics; 2 year, 3, 4 module)Rus

Courses (2014/2015)

Complex Analysis (Master’s programme; Faculty of Mathematics; 1 year, 1, 2 module)Eng
Dynamical Systems (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-4 module)Rus
History of Mathematics (Bachelor’s programme; Faculty of Mathematics; 3 year, 2 module)Eng
Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-4 module)Rus
Research Seminar "Quantum Algebras 1" (Master’s programme; Faculty of Mathematics; 1 year, 1, 2 module)Rus
Research Seminar "Quantum Algebras 2" (Master’s programme; Faculty of Mathematics; 1 year, 3, 4 module)Rus
Theory of Functions of Complex Variable (Bachelor’s programme; Faculty of Mathematics; 2 year, 3, 4 module)Rus

Courses (2013/2014)

Advances in Complex Analysis and Riemann Surfaces (Master’s programme; Faculty of Mathematics; 2 year, 1, 2 module)Eng
Dynamical Systems (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-4 module)Rus
Elliptic Functions (Master’s programme; Faculty of Mathematics; 1 year, 3, 4 module)Eng
History of Mathematics (Bachelor’s programme; Faculty of Mathematics; 3 year, 4 module)Eng
Mathematical Analysis (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus

Conferences

2016
Infinite Analysis 16: New Developments in Integrable Systems (Осака). Presentation: Q-operators for higher spin eight vertex models
2015
Topics on tropical geometry, integrable systems and positivity (Токио). Presentation: Q-operators for higher spin eight vertex models

Publications⁴³

Preprint Takebe T. Q-operators for higher spin eight vertex models with a rational anisotropy parameter / Cornell University. Series arxive "math". 2018. No. arXiv:1810.12969. (in press)
Article Akhmedova V, Takebe T, Zabrodin A. Multi-variable reductions of the dispersionless DKP hierarchy // Journal of Physics A: Mathematical and Theoretical. 2017. Vol. 50. No. 48. P. 1-23. doi
Preprint Takebe T., Akhmedova V., Zabrodin A. Multi-variable reductions of the dispersionless DKP hierarchy / Cornell University. Series arXiv "math-ph". 2017. No. 1707.01528.
Article Takebe T. Q-Operators for Higher Spin Eight Vertex Models with an Even Number of Sites // Letters in Mathematical Physics. 2016. Vol. 106. No. 3. P. 319-340. doi
Article Takebe T. Dispersionless BKP Hierarchy and Quadrant Löwner Equation // Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2014. Vol. 10. P. 1-13. doi
Book Takebe T. Lectures on Dispersionless Integrable Hierarchies. Tokyo : Research Center for Mathematical Physics, Rikkyo Universty, 2014.
Preprint Takebe T. Dispersionless BKP Hierarchy and Quadrant Löwner Equation / Cornell University. Series math "arxiv.org". 2013. No. 1308.4584. (in press)
Article Zabrodin A. Hirota equation and Bethe ansatz in integrable models// Уравнение Хироты и анзац Бете в интегрируемых моделях / Пер. с рус.: T. Takebe. // (Mathematical Sciences. 2013. No. 596. P. 7-12.
Article Takasaki K., Takebe T. An h-dependent formulation of the Kadomtsev-Petviashvili hierarchy // Theoretical and Mathematical Physics. 2012. Vol. 171. No. 2. P. 683-690.
Article Takasaki K., Takebe T. An hbar-expansion of the Toda hierarchy // Analysis and Mathematical Physics. 2012. No. 2. P. 171-214.
Article Takebe T., Takasaki K., Teo L. P. Non-degenerate solutions of universal Whitham hierarchy // Journal of Physics A: Mathematical and Theoretical. 2010. Vol. 43. No. 325205. P. 1-22.
Preprint Takebe T., Takasaki K. hbar-expansion of KP hierarchy: Recursive construction of solutions / Cornell University. Series math "arxiv.org". 2009. No. 0912.4867.
Article Takasaki K., Takebe T. Loewner equations, Hirota equations and reductions of universal Whitham hierarchy // Journal of Physics A: Mathematical and Theoretical. 2008. Vol. 41. No. 475206. P. 1-27.
Article Takebe T., Takasaki K. Universal Whitham hierarchy, dispersionless Hirota equations and multicomponent KP hierarchy. // Physica D: Nonlinear Phenomena. 2007. Vol. 235. No. 1-2. P. 109-125.
Article Takebe T., Teo L. Coupled modified KP hierarchy and its dispersionless limit. // Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2006. Vol. 2. No. 072. P. 1-30.
Article Zabrodin A., Takebe T., Teo L. P. L\"owner equations and dispersionless hierarchies // Journal of Physics A: Mathematical and Theoretical. 2006. Vol. 39. P. 11479-11501.
Chapter Takebe T., Takasaki K. Loewner equations and dispersionless hierarchies., in: Nankai Tracts in Mathematics Vol. 10: Differential geometry and physics. Proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics (XXIII DGMTP) held in Tianjin, August 20–26, 2005. Hackensack : World Scientific, 2006. P. 438-442.
Chapter Takebe T. Trigonometric degeneration and orbifold Wess-Zumino-Witten model. II., in: Progress in Mathematics Vol. 237: Infinite dimensional algebras and quantum integrable systems. Papers from the 14th International Congress on Mathematical Physics Satellite Workshop held at the University of Algarve, Faro, July 21–25, 2003. Basel : Birkhäuser, 2005. P. 205-224.
Article Takebe T. Trigonometric degeneration and orbifold Wess-Zumino-Witten model. I. // International Journal of Modern Physics A. 2004. Vol. 19, May suppl.. P. 418-435.
Article Takasaki K., Takebe T. An integrable system on the moduli space of rational functions and its variants // Journal of Geometry and Physics. 2003. Vol. 47. P. 1-20.
Article Takebe T. A note on modified KP hierarchy and its (yet another) dispersionless limit // Letters in Mathematical Physics. 2002. Vol. 59. P. 157-172.
Article Takebe T., Kuroki G. Wess-Zumino-Witten model on elliptic curves at the critical level. // Journal of Physics A: Mathematical and Theoretical. 2001. Vol. 34. No. 11. P. 2403-2413.
Article Takebe T., Kuroki G. Bosonization and integral representation of solutions of the Knizhnik-Zamolodchikov-Bernard equations // Communications in Mathematical Physics. 1999. Vol. 204. P. 587-618.
Article Takebe T., Склянин Е. К. Separation of variables in the elliptic Gaudin model. // Communications in Mathematical Physics. 1999. Vol. 204. No. 1. P. 17-38.
Article Takebe T., Kuroki G. Wakimoto modules and Knizhnik-Zamolodchikov-Bernard equations. // Progress of Theoretical Physics Supplement. 1999. Vol. 135. P. 138-148.
Article Takebe T. A system of difference equations with elliptic coefficients and Bethe vectors // Communications in Mathematical Physics. 1997. Vol. 183. P. 161-182.
Article Takebe T., Склянин Е. К. Algebraic Bethe Ansatz for XYZ Gaudin model // Physics Letters A. 1996. Vol. 219. P. 217-225.
Article Takebe T. Bethe Ansatz for Higher Spin XYZ Models --- Low-lying Excitations --- // Journal of Physics A: Mathematical and Theoretical. 1996. Vol. 29. P. 6961-6966.
Article Takebe T., Takasaki K. Quasi-classical limit of KP hierarchy, W-symmetries and free fermions. // Journal of Mathematical Sciences. 1996. Vol. 235. P. 295-303.
Article Takebe T. Bethe Ansatz for Higher Spin Eight-Vertex Models // Journal of Physics A: Mathematical and Theoretical. 1995. Vol. 28. P. 6675-6706.
Article Takebe T., Takasaki K. Integrable hierarchies and dispersionless limit // Reviews in Mathematical Physics. 1995. Vol. 7. P. 743-808.
Article Nakatsu T., Kato A., Noumi M., Takebe T. Topological strings, matrix integrals, and singularity theory. // Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics. 1994. Vol. 322. No. 3. P. 192-197.
Article Takebe T. Generalized XYZ Model associated to Sklyanin algebra // International Journal of Modern Physics A. 1993. Vol. 3A. P. 440-443.
Article Takasaki K., Takebe T. Quasi-classical limit of Toda hierarchy and W-symmetries // Letters in Mathematical Physics. 1993. Vol. 28. P. 165-176.
Chapter Takebe T. From general Zakharov-Shabat equations to the KP and the Toda lattice hierarchies., in: Advanced Series in Mathematical Physics Vol. 16: Proceedings of the RIMS Research Project held at Kyoto University, Kyoto, June 1–August 31, 1991. River Edge : World Scientific, 1992. P. 923-939.
Article Takebe T. Generalized Bethe Ansatz with general spin representations of the Sklyanin algebra // Journal of Physics A: Mathematical and Theoretical. 1992. Vol. 25. P. 1071-1083.
Chapter Takasaki K., Takebe T. SDiff(2) KP hierarchy, in: Advanced Series in Mathematical Physics Vol. 16: Proceedings of the RIMS Research Project held at Kyoto University, Kyoto, June 1–August 31, 1991. River Edge : World Scientific, 1992. P. 889-922.
Article Такэбэ Т. О единственности формфакторов для редуцированной модели синус-Гордон // Записки научных семинаров ПОМИ РАН. 1992. Т. 199. С. 177-181.
Article Takebe T. Representation theoretical meaning of the initial value problem for the Toda lattice hierarchy. I. // Letters in Mathematical Physics. 1991. Vol. 21. No. 1. P. 77-84.
Article Takebe T. Representation theoretical meaning of the initial value problem for the Toda lattice hierarchy. II. // Publications of the Research Institute for Mathematical Sciences. 1991. Vol. 27. No. 3. P. 491-503.
Article Takasaki K., Takebe T. SDiff(2) Toda equation—hierarchy, tau function, and symmetries. // Letters in Mathematical Physics. 1991. Vol. 23. No. 3. P. 205-214.
Article Takebe T., Fukuma M. The Toda Lattice Hierarchy and Deformations of Conformal Field Theories // Modern Physics Letters A. 1990. Vol. 5. No. 7. P. 509-518.
Article Takebe T. Toda lattice hierarchy and conservation laws. // Communications in Mathematical Physics. 1990. Vol. 129. No. 2. P. 281-318.

Research interests

Integrable systems; classical integrable systems like the KP hierarchy, the Toda lattice hierarchy and their dispersionless limits; quantum integrable systems like solvable lattice models (in particular, those relate to elliptic R matrices), conformal field theories

Timetable for today

Full timetable

Sep

2015

'I Have Been Happy from the First Moment'

Takashi Takebe is a Research Fellow at the International Laboratory of Representation Theory and Mathematical Physics and Professor at the Faculty of Mathematics. He has been at HSE since 2009. He is a PhD in Mathematics from the University of Tokyo. He spoke to HSE News in English service about the unpredictability of life for international academics in Moscow, about teaching mathematics to Russians, the problems of language and cycling tours.