In pure mathematics, by establishing the invariant tensor technique, a series of works on the classification of solutions to PDEs related to geometric inequalities was advanced with collaborators. We answered the theoretical framework problem of the identity of equations with the critical exponent on Heisenberg groups proposed in 1988, solved the rigid conjecture of equations with the subcritical exponent on Cauchy-Riemannian manifolds, and provided a unified understanding of the classification of solutions to second-order semi-linear equations on real manifolds. In computational mathematics, techniques in PDEs were applied to provide a theoretical guarantee that the asymptotic bulk modulus of the shell structure is maximized by a three-period minimal surface. The results above are published in Proc Amer. Math. Soc., Sci. Sinica Math., Acta Math. Sci. Ser. B, etc.. I’m serving as a member of the Chinese Mathematical Society (CMS), the Chinese Society of Industrial and Applied Mathematics (CSIAM), and the Chinese Computer Federation (CCF). Besides, I served as a reviewer for mathematical journals, such as Adv. Nonlinear Stud., etc.. I’m granted Outstanding Graduate of Anhui Province in 2019 and 2024.