(1) Focus on the problem-driven theoretical research, and already have some influence in the world in the research field of fluid dynamics, scientific computation, statistical inference, time series, algebra and number theory and so on.

(2) Emphasis on the intersection and integration with the atmospheric sciences, develop mathematics dominant applied technology to solve key problems in interdiscipline, and is in the leading international level for the application of typhoon diagnosis by multiple linear model, the application of data assimilation by control theory, earth system model and so on.