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The role of complex singularities in geometric flows

A popular topic in differential geometry involves studying the singularity structure of geometric flows. The most well-known example is mean curvature flow. In this example, surfaces evolve according to a flow rule that relates the speed of the surface to its curvature. Certain surfaces will evolve until singularities occur in finite time, and these singularities can be studied using similarity solutions and asymptotic analysis.In this project, a different perspective is applied to these problems, namely the use of complex variable …

Study level
Master of Philosophy, Honours, Vacation research experience scheme
Faculty of Science
School of Mathematical Sciences

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