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Melanie Rupflin is a faculty member at the Mathematical Institute of the University of Oxford. Her research primarily involves the analysis of elliptic and parabolic non-linear partial differential equations (PDEs) and geometric variational problems, especially in relation to harmonic maps. Rupflin is focused on developing a new quantitative theory for variational problems that can robustly address phenomena such as the formation of singularities and the concentration of energy scales, which is essential for precise control over the dynamics of gradient flows. In addition to her research, she is involved in teaching courses such as Analysis 3 and Functional Analysis 2 and has made lecture videos available on the Mathematics Department's YouTube channel, including sessions on the Maximum Principle and lectures on weak convergence.
Department of Politics and International Relations - Higher Level English requirement.