1. PBW basis of quantized universal enveloping algebras, Publ. RIMS 30, no.2 (1994), 209-232.
2. Geometric construction of crystal bases (with M. Kashiwara), Duke Math. J. 89, no.1 (1997), 9-36.
3. Quantum toroidal algebras and their vertex representations, Publ. RIMS 34, no. 2 (1998), 155-177.
4. Toroidal actions on level $1$ modules of $U_q(\widehat{sl}_n)$ (with K. Takemura and D. Uglov), Transformation Groups 3, no. 1 (1998), 75-102.
5. Hirota bilinear forms with 2-toroidal symmetries (with K. Iohara and M. Wakimoto), Physics Letter A 254, no. 1-2 (1999), 37-46.
6. Notes on differential equations arising from a representation of 2-toroidal Lie algebras (with K. Iohara and M. Wakimoto), Progr. Theor. Phys. Suppl, No. 135 (1999), 166-181.
7. Crystal bases and quiver varieties, Math. Ann. 324 (2002), no. 4, 675-688.
8. Double affine Hecke algebras and elliptic Hecke algberas (with M. Shiota), to appear in Progress in Math.
9. On Hecke algebras associated with elliptic root systems and the double affine Hecke algebras (with M. Shiota), Publ. RIMS 45 (2009), 845-905.
10. The rational qKZ equation and shifted non-symmetric Jack polynomials (with S. Kakei, M. Nishizawa and Y. Yakeyama), SIGMA 5 (2009), Paper 010, 12 pp.
11. Indecomposable decomposition of tensor products of modules over the restricted quantum universal enveloping algebra associated to $\boldsymbol{\mathfrak{sl}_2}$ (with H. Kondo), J. Alg. 330 (2011), 103-129.
12. Toward Berenstein-Zelevinsky data in affine type $A$, I: Construction of affine analogs (with S. Naito and D. Sagaki), arXiv:1009.4526.
13. Mirkovi\'c Vilonen polytopes and a quiver construction of crystal basis in type $A$, arXiv:1010.0086.
14. Toward Berenstein-Zelevinsky data in affine type $A$, II: Expicit description (with S. Naito and D. Sagaki), arXiv:1101.3621.

Review articles

1. An introduction to canonical bases, Representations of finite dimensional algebras and related topics in Lie theory and geometry, Fields Inst. Commun., 40 (2004), 431-451.