《数学物理方程》，《椭圆与抛物型方程》，《二阶椭圆型偏微分方程》，《二阶椭圆型方程与椭圆型方程组》，《二阶抛物型偏微分方程》，《变分法及其应用》，《非线性演化方程》，《抛物方程的爆破理论》，《非线性分析》，《应用数学基础》，《微分几何》，《张量分析》，《泛函分析》，《实变函数》，《复变函数》，《数学分析》，《高等代数与几何》等/ <Differential Equations in Mathematical Physics>, <Elliptic and Parabolic Partial Differential Equations>, <Elliptic Partial Differential Equations of Second Order>, <Second Order Elliptic Equations and Elliptic Systems>, <Parabolic Partial Differential Equations of Second Order>, <Variational Method and its Applications>, <Nonlinear Evolution Equations>, <Blow-up Theories for Semilinear Parabolic Equations>, <Nonlinear Analysis>, <Foundation of Applied Mathematics>, <Differential Geometry>, <Tensor Analysis>, <Functional Analysis>, <Real Function>, <Complex Function>, <Mathematical Analysis>, <Advanced Algebra and Geometry>, etc