A Survey of Convexity Estimates and Singularities for Mean Curvature Flow with Surgery

Hugh Cooney
In this survey we aim to introduce the basics of Mean Curvature Flow and detail the programme of Mean Curvature Flow with surgery developed by Huisken and Sinestrari over four seminal papers, [29],[28],[30] and [8]. We divide the survey into 3 chapters, the rst being an introduction to the Mean Curvature Flow. This is followed by the convexity estimates that were developed by Huisken and Sinestrari, which allow us to understand the singularities that form...
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