My research will focus on the modeling and computational difficulties associated with portraying the electrophysiology, mechanics, and electromechanics of the heart. The aim is to develop efficient and robust numerical schemes for models of the cardiac electro-mechanical system with high biophysical accuracy across multiple scales and dimensions. The development of efficient numerical techniques on massively parallel computing technologies is a major challenge that the proposed work aims to address.
My research area is mainly focused on Theoretical and Computational Biophysics which is an interdisciplinary topic . Active systems such as microbes and eukaryotic cellular systems are prototypical biological systems that involve the migration of cells driven by chemical stimuli or some self-generated gradients and moving through interactions with other cells and the extracellular environment. Currently, I am working on investigating and understanding the dynamics of these complex systems leading to a large variety of emerging spatiotemporal orders in the form of spatial patterns, propagating waves, collective motions, and phase separation.
My research primarily focuses on numerical analysis and computational methods applied to nonlinear scalar conservation laws, systems of hyperbolic conservation laws, and conservation laws featuring discontinuous flux functions. These equations are prevalent in a wide range of applications, such as traffic modeling, enhanced oil recovery processes, sedimentation phenomena, and the system of Euler equations describing compressible gas dynamics. The primary aim of my research is to design and analyze efficient high-order computational schemes specifically tailored to address nonlinear problems of this nature.
Interested in simulation and control of condensed matter systems to realize quantum phenomenawith potential applications to quantum technology. A hybrid quantum-classical computing is used,with actual simulations run on popular quantum systems like IBMQ, AWS Braket via the cloud andoptimization algorithms being implemented locally. For example, have tried to implement multi-qubit quantum gates on IBMQ system, with the gates being designed using Simulated Annealingbased optimization. Presently working on trying to understand non-linear/chaotic behaviour incondensed matter systems, potentially utilizing simulation on a Rydberg atom based analogquantum processor from Quera Systems on Amazon Braket. The key task involves in constructingmodels that can be used to understand quantum chaotic behaviour by classical non-linear dynamics.
My research is dedicated to understanding the emission mechanism of the prompt phase in Gamma-Ray Bursts (GRBs). I am currently investigating the physics of this strong radiation using the spectro-polarimetry method. I intend to use numerical simulations to fully comprehend the properties of compact objects, dynamics of outflow, the evolution of jet properties, Wolf-Rayet progenitor stars, and understand the fundamentals of GRBs. By employing this multimodal approach, I hope to shed some light on one of the most intriguing phenomena in astrophysics.
My research interest lies in unraveling the complex physical dynamics of Earth's atmosphere, encompassing both natural phenomena and anthropogenic influences, and their profound effects on climate, environmental systems, public health, and societal well-being. Employing climate modeling as a primary tool, I aim to explore the effects of changing climate variables on regional scales, utilizing fine-resolution climate modeling techniques. Through this analysis, my goal is to provide insights into future climate changes, facilitating informed decision-making for regional planning, adaptation strategies, and mitigation efforts.