https://neckpinch.com/authors/sourav-ghosh/New arXiv papers by Sourav Ghosh, from Neckpinch Tue, 03 Nov 2026 07:15:30 GMT https://arxiv.org/abs/2609.03185arxiv:2609.03185Wed, 02 Sep 2026 00:00:00 GMTSourav Ghosh — We prove uniqueness of tangent flows for mean curvature flow with free boundary at singularities modeled on half-cylindrical self-shrinkers. More precisely, if a tangent flow is of the form S^(n-k) × ℝ^k_+ or S^(n-k)_+ × ℝ^k, then it is unique. This provides the free-boundary analogue of the uniqueness theory for cylindrical singularities.Mean curvature flowSelf-shrinkers & translatorsSingularitiesStability & uniquenessFree boundary & capillary https://arxiv.org/abs/2511.15297arxiv:2511.15297Wed, 19 Nov 2025 00:00:00 GMTSourav Ghosh — We consider the rescaled flow associated with a mean curvature flow that develops a compact singularity of multiplicity one. We prove that the "decay order" of such a rescaled flow is uniformly bounded. As a consequence, we prove a unique continuation result.Mean curvature flowSingularities https://arxiv.org/abs/2508.05517arxiv:2508.05517Thu, 07 Aug 2025 00:00:00 GMTSourav Ghosh — The only non-compact linearly stable singularity models for mean curvature flow are cylindrical, as shown by Colding-Minicozzi. The uniqueness of blowups at singularities modeled on cylinders was established by Colding-Minicozzi. They also proved rigidity results for cylindrical singularities in their earlier work. In this paper, we develop a different approach inspired by Székelyhidi to study cylindrical singularities and prove uniqueness and rigidity results.Mean curvature flowSingularitiesStability & uniquenessBoundaries & non-compact https://arxiv.org/abs/2503.22918arxiv:2503.22918Sat, 29 Mar 2025 00:00:00 GMTSourav Ghosh — Let Lₜ be a zero Maslov Lagrangian mean curvature flow in ℂ². We show that if the mean curvature stays uniformly bounded along the flow, then the tangent flow at a singular point is unique i.e. the limit of the parabolic rescalings does not depend on the chosen sequence of rescalings.Mean curvature flowLagrangian mean curvature flowSingularities