Yasuhiko YAMADA 
Yasuhiko YAMADA
Department of Mathematics,
Graduate School of Science, Kobe University 
Division : Analysis
Professor 
Building B, Room 308
Personal Website

Research Field :
Integrable systems: Special functions: Mathematical Physics


Research Summary :
The traditional term "integrable system" means a mathematical model that admits exact solutions. In many cases, a beautiful mathematical structure lies in such models. I am studying them from various points of view such as discrete, continuous, classical and quantum. Currently, I am working on the quantization of the isomonodromy equations, their relation to conformal field theories and gauge theories.


Primary Publications : 
 A.Tsuchiya, K.Ueno and Y.Yamada, "Conformal field theory on universal family of stable curves with gauge symmetries", Adv. Stud. Pure Math. 19, (1989) 459566.
 H.Awata, A.Tsuchiya and Y.Yamada, "Integral formulas for the WZNW correlation functions", Nucl. Phys. B 365 (1991), no. 3, 680696.
 T.Kawai, Y.Yamada and S.K.Yang, "Elliptic genera and $N=2$ superconformal field theory", Nuclear Phys. B 414 (1994), no. 12, 191212.
 T.Eguchi, Y.Yamada and S.K.Yang, "On the Genus Expansion in the Topological String Theory", Reviews in Mathematical Physics 7 (1995) 279310.
 A.Nakayashiki and Y.Yamada, "Kostka polynomials and Energy functions in Solvable lattise models", Selecta Math. 3 (1997) 547599.
 M.Noumi and Y.Yamada, "Affine Weyl groups, discrete dynamical systems and Painlevé equations", Comm. Math. Phys. 199 (1998) 281295.
 G.Hatayama, A.Kuniba, M.Okado, T.Takagi and Y.Yamada, "Remarks on fermionic formula," Contemp. Math., 248, Amer. Math. Soc., Providence, RI, (1999) 243291.
 K.Kajiwara, M.Noumi and Y.Yamada, "Discrete dynamical systems with $W(A^{(1)}_{m1} \times A^{(1)}_{n1})$ symmetry", Lett. Math. Phys. 60 (2002), no. 3, 211219.
 K.Kajiwara, T.Masuda, M.Noumi, Y.Ohta, Y.Yamada, "${}_{10}E_9$ solution to the elliptic Painlevé equation", J. Phys. A 36 (2003), no. 17, L263L272.


