Research areas

I work in Geometric Analysis on Kähler Manifolds. More specifically, I am interested in :

• Kähler Geometry, Compact Kähler Manifolds.
• Equations of Monge-Ampère type (real and complex ones).
• Hessian Equations  (real and complex ones).
• Uniformly elliptic P.D.Es of second order.
• Elliptic Nonlinear P.D.Es.
• A Priori Estimates.
• Continuity Method.
• Holomorphic Bisectional Curvature.
• Maximum Principles.
• Regularity of solutions of P.D.Es.
• Eigenvalues and Spectral Functions, Symmetric Functions.