My research lies in the field of \textbf{Several Complex Variables (SCV)} and explores problems that connect complex analysis, geometry, and metric theory. Broadly, my research focuses on the following themes:
Polynomial Convexity and Approximation
A major part of my research focuses on \textbf{polynomial convexity} and \textbf{polynomial approximation theory}. I study how continuous and CR functions on compact subsets or CR submanifolds of $\mathbb{C}^n$ can be uniformly approximated by holomorphic polynomials. These problems build on classical approximation theory and extend it to higher-dimensional and geometric settings.
Kobayashi Metric and Biholomorphic Invariants
I am also interested in metric aspects of complex analysis, particularly the study of the Kobayashi metric, squeezing function, and Fridman invariant. These tools provide geometric ways to compare complex domains and to investigate biholomorphic (in)equivalence between them.
Visibility Phenomena
More recently, my research has focused on visibility phenomena with respect to the Kobayashi metric. The goal is to understand when and how geodesics in the Kobayashi metric interact with the boundary of a domain, and to develop new methods to construct visibility domains.