I completed my PhD in Applied Mathematics from Monash University, Australia, in May 2025. My research expertise lies in Numerical Analysis and Stochastic Partial Differential Equations, with a particular focus on the stochastic Stefan problem and nonlinear time-dependent PDEs.
My doctoral work involved the development and rigorous analysis of efficient numerical schemes for stochastic free-boundary problems, including the incorporation of multiplicative noise, regularisation techniques, and adaptive tolerance strategies. I have worked extensively on designing computationally efficient linearised and regularised solvers and conducting sensitivity analysis to optimise accuracy and computational performance in both deterministic and stochastic settings.
My research interests are centered on the mathematical theory, numerical approximation, and computational implementation of complex nonlinear systems arising in applied sciences. I am particularly interested in developing stable, high-accuracy numerical frameworks.
