I am an Assistant Professor in the Department of Mathematical Sciences, IIT (BHU), Varanasi, India.
I obtained my PhD in Applied Mathematics from the Indian Institute of Technology Indore. Prior to joining IIT (BHU), I worked as a post-doctoral researcher at the Department of Engineering “Enzo Ferrari”, University of Modena and Reggio Emilia (UNIMORE), Italy. I also hold a Master’s degree in Mathematics and Computing from the Indian Institute of Technology (ISM) Dhanbad.
My research interests lie in Applied Mathematics, with a particular focus on applied differential equations and the mathematical modelling of wave propagation in solids. Specifically, my work investigates seismic surface wave propagation in layered media, accounting for effects such as local and non-local elasticity, heterogeneity, and anisotropy. I develop theoretical, analytical, and computational models to better understand wave behaviour in complex Earth-like structures. My research integrates concepts from elasticity, viscoelasticity, and poroelasticity to construct rigorous mathematical frameworks that capture these intricate physical phenomena.