I am currently a Postdoctoral Fellow in the Department of Mathematics and Statistics at the Indian Institute of Technology (IIT) Kanpur, where I am working under the supervision of Prof. Kaushik Bal. Prior to this, I served as a Research Associate at IISER Pune under the mentorship of Dr. Mousomi Bhakta. Following the completion of my Ph.D., I also spent eight months as a Project Associate at the Indian Institute of Technology (BHU), Varanasi. I completed my Ph.D. in October 2023 from the Department of Mathematics at the Birla Institute of Science and Technology (BITS), Pilani (Pilani Campus), under the supervision of Dr. Gaurav Dwivedi. My doctoral thesis, entitled “A Study on Existence of Solutions for Some Nonlocal Elliptic Problems via Variational Techniques”. My research interests lie in the analysis of partial differential equations, with a particular emphasis on the qualitative properties of elliptic and parabolic problems. I work on equations posed in generalized function spaces, including variable exponent Sobolev spaces, Orlicz spaces, and Musielak–Sobolev spaces. I have worked on nonlinear PDEs exhibiting nonstandard growth conditions, including critical and exponential critical growth, gradient-dependent nonlinearities, and Choquard-type nonlinearities. My work also involves the study of Sobolev-type inequalities and embedding results. Methodologically, I employ variational techniques, topological methods, and monotonicity-based approaches.