My research interests broadly lie in Complex Analysis. Currently, I am studying one point one degree quadrature domains in higher dimensions and their properties. In a joint project with Jaikrishnan, I am studying proper holomorphic mappings between domains in several complex variables (SCV). I am also exploring the interplay between SCV and Teichmüller theory with Chitrabhanu.

List of publications

• Quadrature domains in Cn, Computational Methods and Function Theory 15, 2015 (with  Kaushal Verma)

• Comments on the Green’s function of a planar domain, Analysis and Mathematical Physics 8, 2018 (with Diganta Borah, and Kaushal Verma)

• A 1-point poly-quadrature domain of order 1 not biholomorphic to a complete circular domain, Analysis and Mathematical Physics 9, 2019 (with Jaikrishnan Janardhanan)

• A note on the smoothness of the Minkowski function, Complex Variables and Eliptic Equations 66, 2021 (with Jaikrishnan Janardhanan)

• Proper holomorphic mappings of quasi-balanced domains in C3, Complex Analysis and its synergies 9, 7 2023 (with Jaikrishnan Janardhanan)