https://neckpinch.com/authors/spandan-ghosh/New arXiv papers by Spandan Ghosh, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2507.10341/arxiv:2507.10341Mon, 14 Jul 2025 00:00:00 GMTSpandan Ghosh — In his paper `Conjectures on Bridgeland Stability', Joyce asked if one can desingularise the transverse intersection point of an immersed Lagrangian using JLT expanders such that one gets a Lagrangian mean curvature flow via the desingularisations. Begley and Moore answered this in the affirmative by constructing a family of desingularisations and showing that a certain limit along their flows satisfies LMCF along with convergence to the immersed Lagrangian in the sense of varifolds. We prove that there exists a solution with convergence in a stronger sense, using the notion of manifolds with corners and a-corners as introduced by Joyce. Our methods are a direct P.D.E. based approach, along the lines of the proof of short-time existence for network flow by Lira, Mazzeo, Pluda and Saez.Mean curvature flowLagrangian mean curvature flowRicci solitonsWeak & singular flowsStability & uniquenessHarmonic maps & DeTurck trickPhase fields & multiphase flows