He is a great mathematician. When he was young, he wrote several sacks of draft paper to prove a math problem. Hua is mainly engaged in the research and teaching of analytic number theory, matrix geometry, typical groups, automorphic function theory, complex variable function theory, partial differential equations, high-dimensional numerical integration and other fields, and has achieved outstanding results. In the 1940s, the historical problem of Gaussian complete trigonometric sum estimation was solved, and the best error order estimation was obtained (this result is widely used in number theory). The results of G.H. Hardy and J.E. Littlewood on the Welling problem and E. Wright on the Tully problem have been greatly improved and are still the best records.

Since 1960s, he has applied mathematical methods to practice, screened out optimization methods and overall planning methods aiming at improving work efficiency, and achieved remarkable economic benefits.

Comrade Hua is a contemporary self-taught master of science and a famous mathematician at home and abroad. He is the founder and pioneer of China's research on analytic number theory, canonical group, matrix geometry, automorphic function theory and multiple complex variable function theory.