Kuroki Gen

クロキゲン | Kuroki Gen

Affiliation and department：
Job title： Assistant Professor
Homepage URL (2)： http://db.tohoku.ac.jp/whois/detail/3b69ab71ce97485f816dd6aa0b15fbb2.html , http://db.tohoku.ac.jp/whois/e_detail/3b69ab71ce97485f816dd6aa0b15fbb2.html

Research field (2)： Mathematical analysis , Algebra

Research keywords (9)： tau-function , quantum group , affine Lie algebra , discretization , quantization , Painleve system , isomonodromic system , integrable system , conformal field theory

Research theme for competitive and other funds (5)：

2004 - 現在 Representation theoretic research of quantum Painleve systems
2000 - 現在 Sato theory of toroidal soliton systems
1996 - 現在 Representation theoretic approach to quantum integrable systems
1990 - 現在 Representation theory of affine Lie algebras
1988 - 現在 Representation theoretic approach to conformal field theory

Papers (7)：

Gen Kuroki. Regularity of quantum tau-functions generated by quantum birational Weyl group actions. arXiv. 2012
Gen Kuroki. Quantum groups and quantization of Weyl group symmetries of Painleve systems. EXPLORING NEW STRUCTURES AND NATURAL CONSTRUCTIONS IN MATHEMATICAL PHYSICS. 2011. 61. 289-325
Gen Kuroki, Takashi Takebe. Wess-Zumino-Witten model on elliptic curves at the critical level. Journal of Physics A: Mathematical and General. 2001. 34. 11. 2403-2413
Gen Kuroki, Takashi Takebe. Bosonization and integral representation of solutions of the Knizhnik-Zamolodchikov-Bernard equations. Communications in Mathematical Physics. 1999. 204. 3. 587-618
G Kuroki, T Takebe. Wakimoto modules and Knizhnik-Zamolodchikov-Bernard equations. PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT. 1999. 135. 138-148

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MISC (1)：

Gen KUROKI. [Open Campus Math Quiz] Deviding 999...9 by primes. Sugaku Seminar. 2009. 48. 8. 18-23

Lectures and oral presentations (17)：

Painleve系とそのτ函数の正準量子化
(日本数学会2015年度秋季総合分科会 2015)
互いに素なm,nに対するA_{m-1}型とA_{n-1}型の拡大アフィンWeyl群の直積の双有理作用の量子化
(日本数学会2013年度年会 2013)
量子Weyl群双有理作用のSato-Wilson表示
(日本数学会2012年度秋季総合分科会 2012)
Weyl群双有理作用とτ函数の量子化-量子化されたτ函数の正則性
(日本数学会2012年度年会 2012)
量子dilogarithm恒等式の作り方
(量子可積分系の新展開 2010)

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Professional career (2)：

Doctor of Philosophy (Mathematical Science) (Nagoya University)
Master of Science (Tohoku University)

Association Membership(s) (1)：

日本数学会

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