My principal area of research is Geometric Function Theory. I am primarily interested in studying the complex valued harmonic functions on the unit disk. In this context, I am interested in studying different subclasses of harmonic functions that have special geometric importance.
I am also interested in Higher Dimension Harmonic Functions Theory and Harmonic Quasiconformal Extension.
Apart from the harmonic functions, I am also interested in Operator Theory, especially Composition Operators and Cesaro Operators on Hardy space.