{
  "abstract": "For every integer $N\\ge1$, we construct a smooth closed connected strictly mean-convex rotationally symmetric surface in $\\mathbb{R}^3$ whose level set flow remains connected until extinction and has exactly one singular point at each of its first $N$ singular times. These singularities are degenerate neckpinches with the Angenent--Velázquez asymptotics: the leading deviation from the cylinder under parabolic rescaling is a cubic Hermite term.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.01419",
  "author_total": 1,
  "authors": [
    {
      "name": "Jingwen Chen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9tyvend9g5wgs.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.01419",
  "fulltext_url": null,
  "id": "9tyvend9g5wgs",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.01419",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "arxiv",
      "math.DG"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.01419",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9tyvend9g5wgs.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.01419",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.01419"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Degenerate neckpinches at the first $N$ singular times",
  "title_text": "Degenerate neckpinches at the first N singular times",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/9tyvend9g5wgs",
  "venue": "arXiv",
  "versions": []
}