Research profile
Works on self-shrinkers & translators, rotational symmetry & warped products and numerics & visualization.
Elsewhere arXiv listing
From the tags on their papers
How many of these papers carry each topic, among the topics most particular to them. Tags are assigned automatically, so they point to a subject rather than judge the work.
FlowsSpecial solutionsGeometry & analysisConnections
| Topic | 2016 | 2017 |
|---|---|---|
| All papers | 1 | 2 |
| Self-shrinkers & translators | 1 | 2 |
| Rotational symmetry & warped products | 1 | 1 |
| Numerics & visualization | 1 | |
| Other curvature flows | 1 | 1 |
| Mean curvature flow | 1 | 2 |
| Inverse mean curvature flow | 1 |
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Newest first
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.
In this paper, we survey known results on closed self-shrinkers for mean curvature flow and discuss techniques used in recent constructions of closed self-shrinkers with classical rotational symmetry. We also propose new existence and uniqueness problems for closed self-shrinkers with bi-rotational symmetry and provide numerical evidence for the existence of new examples.
We use variational methods and a modified curvature flow to give an alternative proof of the existence of a self-shrinking torus under mean curvature flow. As a consequence of the proof, we establish an upper bound for the weighted energy of our shrinking doughnuts.
We show that any complete, immersed self-expander to the inverse mean curvature flow, which has one end asymptotic to a cylinder, or has two ends asymptotic to two coaxial cylinders, must be rotationally symmetric.
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NP-RC-210111 is Gregory Drugan'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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