Research profile
Works on volume-preserving & constrained flows and mean curvature flow.
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Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.
We construct eternal mean curvature flows of tori in perturbations of the standard unit sphere . This has applications to the study of the Morse homologies of area functionals over the space of embedded tori in .
We complete the theoretical framework required for the construction of a Morse homology theory for certain types of forced mean curvature flows. The main result of this paper describes the asymptotic behaviour of these flows as the forcing term tends to infinity in a certain manner. This result allows the Morse homology to be explicitely calculated, and will permit us to show in forthcoming work that, for a large family of smooth positive functions, , defined over a -dimensional flat torus, there exist at least distinct, locally strictly convex, Alexandrov-embedded hyperspheres of mean curvature prescribed at every point by .
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NP-RC-579156 is Graham Smith's permanent number in the Ricci flow community on Neckpinch. It stays with them through any change of name or post. More about these numbers.
A window on one part of a person's work: papers here go back to 2016 and cover Ricci flow and its neighbouring flows, with the older work the site recommends, so this page is no measure of anyone's whole output. Being listed is not an endorsement by or of the person. If two people share this name, their work may appear together here. How it is put together.
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