Postdoctoral Associate
Applied Mathematics & Computational Modeling • Biofluid Mechanics • Non-Newtonian Flows • Pharmaceutical Systems • mRNA Manufacturing • Rheology
University of British Columbia (UBC) • Massachusetts Institute of Technology (MIT) • Indian Institute of Technology Kharagpur (IIT)
I am a Postdoctoral Associate in the Department of Mechanical Engineering at the University of British Columbia, where my research focuses on applied mathematics and mechanistic computational modeling of complex transport phenomena in biofluid mechanics, soft materials, and pharmaceutical processes. My work lies at the interface of mathematics, engineering, and biomedical science, with the long-term goal of developing predictive, physics-based models that connect fundamental theory with experimentally relevant systems.
A unifying theme of my research is the mathematical modeling of multiscale transport and rheological behavior in complex fluids. These systems—such as non-Newtonian physiological flows, reactive hydrogels, and nanoparticle suspensions—exhibit strong coupling between hydrodynamics, material microstructure, and chemical kinetics. I aim to construct and analyze continuum-scale models that capture these interactions while remaining computationally efficient and directly interpretable in terms of measurable physical quantities.
At UBC, as part of the AbbVie–UBC collaboration, my current work focuses on mechanistic modeling of hyaluronic-acid–based (HA–BDDE) hydrogel systems used in pharmaceutical and biomedical applications. I develop coupled reaction-kinetics and viscoelastic models to describe cross-linking and degradation processes under varying chemical and thermal conditions, with particular emphasis on translating rheological measurements into predictive generalized Maxwell-type frameworks. This research provides a mathematical basis for understanding processing–structure–property relationships in soft biomaterials and supports rational design of gel-based formulations.
Previously, I held a postdoctoral position in the Department of Chemical Engineering at the Massachusetts Institute of Technology, where I worked on mechanistic models for the formation of solid lipid nanoparticles for nucleic-acid delivery. This work integrated computational fluid dynamics of mixer flows with population balance modeling of nucleation, growth, and aggregation, leading to predictive descriptions of nanoparticle size distributions relevant to mRNA therapeutics and pharmaceutical manufacturing.
My doctoral training in the Department of Mathematics at IIT Kharagpur provided a strong foundation in transport theory and applied analysis, through my work on Taylor dispersion in pulsatile non-Newtonian flows with wall absorption. Across all stages of my research, I have been motivated by problems that require close integration of theory, computation, and experimental insight. Looking forward, I aim to build an independent research program centered on transport and dispersion in complex fluids, mechanistic modeling of soft and particulate materials, and mathematically grounded tools for biomedical and pharmaceutical applications.