I am an Assistant Professor in the Department of Mathematics, National Institute of Technology Calicut, Kozhikode, Kerala, India.
I completed my PhD under the guidance of Prof. Debajyoti Choudhuri
My research focuses on theoretical partial differential equations (PDEs), particularly the existence, multiplicity, and regularity of weak solutions to elliptic, sub-elliptic, and nonlocal PDEs in both Euclidean spaces and stratified Lie groups. I am especially interested in problems involving singularities, measure data, and fractional operators. My approach is primarily based on variational methods, critical point theory, and topological techniques. In addition, I work on elliptic PDEs involving mixed local–nonlocal operators and superposition operators, contributing to both classical and contemporary developments in nonlinear analysis.