Research Interests

My research interests include Several Complex Variables, the PDEs (related to Complex Geometry), Complex Algebraic Geometry, Sub-Riemannian Geometry, Dynamical Systems and Applied Mathematics.

The modern study of several complex variables and complex geometry focuses on analyzing sheaves of complex-valued functions that solve a particular type of partial differential equation known as the Cauchy-Riemann equation. The study heavily depends on the geometry of both the ambient space and the total space. It represents an intricate connection among algebra, analysis, and geometry.