研究方向：

几何分析

主要成果：

研究集中在以下方面
1.   调和映照
2.   热流
3.   极小曲面
4.   平均曲率流
5.   流形上分析

发表论著：

1.   Ding, Weiyue, Li, Jiayu and Liu Qingyue, Evolution of minimal torus in Riemannian manifolds, Invent. Math., 165(2006), 225-242
2.   Chen, Jingyi and Li Jiayu, Quaternionic maps and minimal surfaces, Annali della Scuola Normale Superiore di Pisa, Vol.4(2005), 375-388.
3.   Han, Xiaoli and Li Jiayu, The mean curvature flow approach to the symplectic isotopy problem, Intern. Math. Research Notice 26(2005), 1611-1620.
4.   Chen Jingyi; Li Jiayu, Singularity of Mean Curvature Flow of Lagrangian Submanifolds Invent. Math. 156 (2004), 25--51.
5.   Ding Weiyue; Li Jiayu; Li Wei, Nonstationary weak limit of a stationary harmonic map sequence. Comm. Pure Appl. Math. 56 (2003), no. 2, 270--277.
6.   Chen Jingyi; Li Jiayu, Mean curvature flow of surface in 4-manifolds. Adv. Math. 163 (2001), no. 2, 287--309.
7.   Li Jiayu, Hermitian-Einstein metrics and Chern number inequalities on parabolic stable bundles over Kähler manifolds. Comm. Anal. Geom. 8 (2000), no. 3, 445--475.
8.   Li Jiayu; Narasimhan M. S., Hermitian-Einstein metrics on parabolic stable bundles. Acta Math. Sin. (Engl. Ser.) 15 (1999), no. 1, 93--114.
9.   Li Jiayu; Tian Gang A blow-up formula for stationary harmonic maps. Internat. Math. Res. Notices 1998, no. 14, 735--755.
10. Ding Weiyue; Jost Jürgen; Li Jiayu; Wang Guofang The differential equation Δu=8π−8πhe\spu on a compact Riemann surface. Asian J. Math. 1 (1997), no. 2, 230--248.