Melanie Rupflin
Fellow and Tutor in Pure Mathematics

Profile

I studied mathematics for both my diploma and my PhD at ETH Zurich in Switzerland. I then spent a year as a Research Fellow at the University of Warwick and a further four years in Germany, as a postdoc at the universities of Leipzig and Hannover and at the Max-Planck-Institute in Potsdam.

I am now Fellow and Tutor in Pure Mathematics at Trinity College, and Associate Professor in the Mathematical Institute of the University of Oxford.

Teaching

At Trinity I give tutorials for various of the pure maths courses in the first and second year, including analysis, linear algebra, differential equations and metric spaces.

In the Mathematical Institute, I give university lecture courses on the analysis of partial differential equations.

Research

I am mainly interested in problems in geometric analysis and in particular in the study of geometric flows, i.e. of evolution equations that are designed to change a geometrical object towards an optimal state.

Selected Publications

M. Rupflin and P. Topping, ‘Teichmüller harmonic map flow into nonpositively curved targets’, arXiv:1403.3195 (2014)
M. Rupflin and O. Schnürer, ‘Weak solutions to mean curvature flow respecting obstacles I: the graphical case’, arXiv:1409.7529 (2014)
M. Rupflin, ‘Flowing maps to minimal surfaces: Existence and properties of solutions’, Annales de l’Institut Henri Poincaré (C) Analyse Non Linéaire (2014).
M. Rupflin and P. Topping, ‘Flowing maps to minimal surfaces’, American Journal of Mathematics (in press)