B. Krummel

activity

20112026

most citedFine properties of branch point singularities: Two-valued harmonic functions

13 citations · 23 across the 12 of their papers we have counts for

collaborators

16 papers

math.DG2026

Analysis of singularities of area-minimizing currents, Part III: branch points of planar frequency $\neq =$ 2, higher order asymptotics, and the local topology

Brian Krummel, Neshan Wickramasekera

This is the third part in a series of papers developing a new framework to study the local structure of $n$ -dimensional area-minimizing rectifiable currents $T$ of codimension $\ge…

math.DG2026

A Branch Set Stratification for Stationary Varifolds with Epsilon-Regularity

Brian Krummel, Paul Minter, Neshan Wickramasekera

Suppose $V$ is a class of stationary integral $n$ -varifolds in $B_{2}^{n + k} (0) \subset R^{n + k}$ which is closed under weak limits, homotheties, rotations, and disjoi…

math.DG2023

Analysis of singularities of area minimizing currents, Part I: planar frequency, branch points of rapid decay, and weak locally uniform approximation

Brian Krummel, Neshan Wickramasekera

This is the first paper in a series developing a new framework for $n$ -dimensional area-minimizing rectifiable currents $T$ of codim. $\geq 2$ . Our approach relies on an intrinsic…

math.DG2023

Analysis of singularities of area-minimizing currents, Part II: a uniform height bound, estimates away from branch points of rapid decay, and uniqueness of tangent cones

Brian Krummel, Neshan Wickramasekera

This is the second paper in a series developing a new framework for $n$ -dimensional area-minimizing rectifiable currents $T$ of codimension $\geq 2$ . In the present article we esta…

math.AP2021★ 1 cited

Fine properties of branch point singularities: stationary two-valued graphs and stable minimal hypersurfaces near points of density $< 3$

Brian Krummel, Neshan Wickramasekera

We study (higher order) asymptotic behaviour near branch points of stationary $n$ -dimensional two-valued $C^{1, μ}$ graphs in an open subset of $R^{n + m}$ . Specifically, i…

math.AP2020★ 2 cited

Existence and regularity results for the penalized thin obstacle problem with variable coefficients

Donatella Danielli, Brian Krummel

In this paper we give a comprehensive treatment of a two-penalty boundary obstacle problem for a divergence form elliptic operator, motivated by applications to fluid dynamics and…

Analysis of singularities of area-minimizing currents, Part III: branch points of planar frequency = 2, higher order asymptotics, and the local topology

A Branch Set Stratification for Stationary Varifolds with Epsilon-Regularity

Analysis of singularities of area minimizing currents, Part I: planar frequency, branch points of rapid decay, and weak locally uniform approximation

Analysis of singularities of area-minimizing currents, Part II: a uniform height bound, estimates away from branch points of rapid decay, and uniqueness of tangent cones

Fine properties of branch point singularities: stationary two-valued graphs and stable minimal hypersurfaces near points of density <3

Existence and regularity results for the penalized thin obstacle problem with variable coefficients

Analysis of singularities of area-minimizing currents, Part III: branch points of planar frequency $\neq =$ 2, higher order asymptotics, and the local topology

Fine properties of branch point singularities: stationary two-valued graphs and stable minimal hypersurfaces near points of density $< 3$