Or Hershkovits

activity

20132026

most citedThe moduli space of two-convex embedded spheres

28 citations · 75 across the 15 of their papers we have counts for

collaborators

25 papers

math.DG2026

Generic mean curvature flow has finitely many singularities

J. M. Daniels-Holgate, Or Hershkovits, Gábor Székelyhidi

We show that for a generic compact initial surface in $R^{3}$ , and any generic compact initial mean convex hypersurface in higher dimensions, the mean curvature flow encount…

math.DG2025

The linearized translator equation and applications

Kyeongsu Choi, Robert Haslhofer, Or Hershkovits

In this paper, we consider the linearized translator equation $L_{ϕ} u = f$ , around entire convex translators $M = graph (ϕ) \subset R^{4}$ , i.e. in the first dimension where…

math.AP2025

A gradient estimate for the linearized translator equation

Kyeongsu Choi, Robert Haslhofer, Or Hershkovits

In this paper, we develop some analytic foundations for the linearized translator equation in $R^{4}$ , i.e. in the first dimension where the Bernstein property fails. This e…

math.DG2025

Backwards uniqueness for Mean curvature flow with asymptotically conical singularities

J. M. Daniels-Holgate, Or Hershkovits

In this paper we demonstrate that if two mean curvature flows of compact hypersurfaces $M_{t}^{1}$ and $M_{t}^{2}$ encounter only isolated, multiplicity one, asymptotically conical singula…

math.DG2025

How close is too close for singular mean curvature flows?

Joshua Daniels-Holgate, Or Hershkovits

Suppose $(M_{t}^{i})_{t \in [0, T)}$ , $i = 1, 2$ , are two mean curvature flows in $R^{n + 1}$ encountering a multiplicity one compact singularity at time $T$ , in such a manner that f…

math.DG2023

Mean Curvature Flow in de Sitter space

Or Hershkovits, Leonardo Senatore

We study mean convex mean curvature flow $M_{s}$ of local spacelike graphs in the flat slicing of de Sitter space. We show that if the initial slice is of non-negative time and is gr…

math.AP2023

Enhanced profile estimates for ovals and translators

Kyeongsu Choi, Robert Haslhofer, Or Hershkovits

We consider the profile function of ancient ovals and of noncollapsed translators. Recall that pioneering work of Angenent-Daskalopoulos-Sesum (JDG '19, Annals '20) gives a sharp $…

math.DG2021

Classification of noncollapsed translators in $R^{4}$

Kyeongsu Choi, Robert Haslhofer, Or Hershkovits

In this paper, we classify all noncollapsed singularity models for the mean curvature flow of 3-dimensional hypersurfaces in $R^{4}$ or more generally in $4$ -manifolds. Spec…

math.DG2021★ 12 cited

A nonexistence result for wing-like mean curvature flows in $R^{4}$

Kyeongsu Choi, Robert Haslhofer, Or Hershkovits

Some of the most worrisome potential singularity models for the mean curvature flow of $3$ -dimensional hypersurfaces in $R^{4}$ are noncollapsed wing-like flows, i.e. noncol…

hep-th2020★ 1 cited

A de Sitter no-hair theorem for 3+1d Cosmologies with isometry group forming 2-dimensional orbits

Paolo Creminelli, Or Hershkovits, Leonardo Senatore +1

We study, using Mean Curvature Flow methods, 3+1 dimensional cosmologies with a positive cosmological constant, matter satisfying the dominant and the strong energy conditions, and…

math.DG2020

Moving plane method for varifolds and applications

Robert Haslhofer, Or Hershkovits, Brian White

In this paper, we introduce a version of the moving plane method that applies to potentially quite singular hypersurfaces, generalizing the classical moving plane method for smooth…

math.DG2019

A note on the selfsimilarity of limit flows

Beomjun Choi, Robert Haslhofer, Or Hershkovits

It is a fundamental open problem for the mean curvature flow, and in fact for many partial differential equations, whether or not all blowup limits are selfsimilar. In this short n…

math.DG2019★ 2 cited

Ancient asymptotically cylindrical flows and applications

Kyeongsu Choi, Robert Haslhofer, Or Hershkovits +1

In this paper, we prove the mean-convex neighborhood conjecture for neck singularities of the mean curvature flow in $R^{n + 1}$ for all $n \geq 3$ : we show that if a mean cu…

math.DG2018★ 2 cited

Ancient low entropy flows, mean convex neighborhoods, and uniqueness

Kyeongsu Choi, Robert Haslhofer, Or Hershkovits

In this article, we prove the mean convex neighborhood conjecture for the mean curvature flow of surfaces in $R^{3}$ . Namely, if the flow has a spherical or cylindrical sing…

math.DG2018

Avoidance for Set-Theoretic Solutions of Mean-Curvature-Type Flows

Or Hershkovits, Brian White

We provide a self-contained treatment of set-theoretic subsolutions to flow by mean curvature, or, more generally, to flow by mean curvature plus an ambient vector field. The ambie…

math.DG2018

Translators asymptotic to cylinders

Or Hershkovits

We show that the Bowl soliton in $R^{3}$ is the unique translating solutions of the mean curvature flow which has the family of shrinking cylinders as an asymptotic shrinker…

math.DG2018★ 10 cited

Sharp Entropy Bounds for Self-Shrinkers in Mean Curvature Flow

Or Hershkovits, Brian White

Let $M \subset R^{m + 1}$ be a smooth, closed, codimension-one self-shrinker (for mean curvature flow) with nontrivial $k^{th}$ homology. We show that the entropy of $M$ …

math.DG2017

Non-fattening of mean curvature flow at singularities of mean convex type

Or Hershkovits, Brian White

We show that a mean curvature flow starting from a compact, smoothly embedded hypersurface M remains unique past singularities, provided the singularities are of mean convex type,…

math.DG2017★ 13 cited

The moduli space of two-convex embedded tori

Reto Buzano, Robert Haslhofer, Or Hershkovits

In this short article we investigate the topology of the moduli space of two-convex embedded tori $S^{n - 1} \times S^{1} \subset R^{n + 1}$ . We prove that for $n \geq 3$ this mod…

math.DG2016★ 28 cited

The moduli space of two-convex embedded spheres

Reto Buzano, Robert Haslhofer, Or Hershkovits

We prove that the moduli space of 2-convex embedded n-spheres in R^{n+1} is path-connected for every n. Our proof uses mean curvature flow with surgery and can be seen as an extrin…

math.DG2015

Mean Curvature Flow of Arbitrary Co-Dimensional Reifenberg Sets

Or Hershkovits

We study the existence and uniqueness of smooth mean curvature flow, in arbitrary dimension and co-dimension, emanating from so called $k$ -dimensional $(ε, R)$ Reifenberg…

math.DG2015

Singularities of mean convex level set flow in general ambient manifolds

Robert Haslhofer, Or Hershkovits

We prove two new estimates for the level set flow of mean convex domains in Riemannian manifolds. Our estimates give control - exponential in time - for the infimum of the mean cur…

math.DG2014★ 7 cited

Mean Curvature Flow Of Reifenberg Sets

Or Hershkovits

In this paper, we prove short time existence and uniqueness of smooth evolution by mean curvature in $R^{n + 1}$ starting from any $n$ -dimensional $(ε, R)$ -Reifenbe…

math.DG2014

Isoperimetric properties of the mean curvature flow

Or Hershkovits

In this paper we discuss a simple relation, which was previously missed, between the high co-dimensional isoperimetric problem of finding a filling with small volume to a given cyc…

Generic mean curvature flow has finitely many singularities

The linearized translator equation and applications

A gradient estimate for the linearized translator equation

Backwards uniqueness for Mean curvature flow with asymptotically conical singularities

How close is too close for singular mean curvature flows?

Mean Curvature Flow in de Sitter space

Enhanced profile estimates for ovals and translators

Classification of noncollapsed translators in R4

A nonexistence result for wing-like mean curvature flows in R4

A de Sitter no-hair theorem for 3+1d Cosmologies with isometry group forming 2-dimensional orbits

Moving plane method for varifolds and applications

A note on the selfsimilarity of limit flows

Ancient asymptotically cylindrical flows and applications

Ancient low entropy flows, mean convex neighborhoods, and uniqueness

Avoidance for Set-Theoretic Solutions of Mean-Curvature-Type Flows

Translators asymptotic to cylinders

Sharp Entropy Bounds for Self-Shrinkers in Mean Curvature Flow

Non-fattening of mean curvature flow at singularities of mean convex type

The moduli space of two-convex embedded tori

The moduli space of two-convex embedded spheres

Mean Curvature Flow of Arbitrary Co-Dimensional Reifenberg Sets

Singularities of mean convex level set flow in general ambient manifolds

Mean Curvature Flow Of Reifenberg Sets

Isoperimetric properties of the mean curvature flow

Classification of noncollapsed translators in $R^{4}$

A nonexistence result for wing-like mean curvature flows in $R^{4}$