About Me

I am a Graduate Researcher in the Department of Mathematics at NC State University, where I am fortunate to work under the supervision of Dr. Chao Chen. My academic and professional affiliations include:

• M.S. in Applied Mathematics, North Carolina State University (2024)
• M.Sc. in Mathematics, National Institute of Technology, Tiruchirappalli (2022)
• Research Intern, NIT Tiruchirappalli (2021)
• B.Sc. in Mathematics, Physics, and Chemistry, Ch. Charan Singh University, Meerut (2019)

Research Interests

My research lies at the intersection of numerical linear algebra, inverse problems, and PDE-constrained optimization, with a focus on developing scalable algorithms for large-scale scientific computing. I am particularly interested in developing fast solvers and randomized methods for high-dimensional systems.
Currently, my work explores adaptive matrix approximation frameworks that build upon techniques such as peeling, Nyström, and related hierarchical approaches, enabling scalable Hessian-based inference, large-scale uncertainty quantification, and structure-preserving model reduction in computational physics.