Jonas Hirsch

activity

20232026

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math.DG2026

Stationary varifolds with singularities II

Camillo De Lellis, Jonas Hirsch, Zachary Lihn +1

For every dimension $m \geq 3$ , we show the existence of an open set $U \subset R^{m + 1}$ , a smooth Riemannian metric $g$ on it, and an integral $m$ -dimensional stationary var…

math.DG2025

Measure $0$ of the singular set for $2$ -valued stationary hypercurrents

Jonas Hirsch, Luca Spolaor

We prove that the singular set of a multiplicity $2$ integral hypercurrent that is stationary in the sense of varifolds has a singular set of measure zero.

math.DG2025

Stationary and stable varifolds with singularities

Camillo De Lellis, Jonas Hirsch, Luca Spolaor

We construct minimal $m$ -dimensional immersions in $R^{m + 1}$ , equipped with a $C^{1, α}$ metric, $α \in [0, 1)$ , with a sequence of \emph{catenoidal necks} or \emph{floating disks}…

math.DG2023

Dimension of the singular set for $2$ -valued stationary Lipschitz graphs

Jonas Hirsch, Luca Spolaor

We prove that the singular set of a $2$ -valued Lipschitz graph that is stationary for the area is of codimension $1$ .

Stationary varifolds with singularities II

Measure 0 of the singular set for 2-valued stationary hypercurrents

Stationary and stable varifolds with singularities

Dimension of the singular set for 2-valued stationary Lipschitz graphs

Measure $0$ of the singular set for $2$ -valued stationary hypercurrents

Dimension of the singular set for $2$ -valued stationary Lipschitz graphs