Marco Badran

activity

20222026

most citedSolutions of the Ginzburg-Landau equations concentrating on codimension-2 minimal submanifolds

3 citations · 3 across the 8 of their papers we have counts for

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math.DG2026

Integral curvature estimates and geodesic limits for stable abelian Higgs fields

Marco Badran, Marco A. M. Guaraco, Aria Halavati

We prove that, on closed three-manifolds, the limit interface of a sequence of stable abelian Higgs critical points with uniformly bounded energy is a finite union of smooth closed…

math.DG2024

Harmonic maps to the circle with higher dimensional singular set

Marco Badran

In a closed, oriented ambient manifold $(M^{n}, g)$ we consider the problem of finding $S^{1}$ -valued harmonic maps with prescribed singular set. We show that the boundary of a…