Gonçalo Oliveira

activity

20242026

collaborators

3 papers

math.DG2026

Large mass limits of $G_{2}$ and Calabi--Yau monopoles: calibrated concentration, Higgs zeros, and abelianization

Daniel Fadel, Goncalo Oliveira

We study large mass monopoles with structure group $SU (2)$ or $SO (3)$ on asymptotically conical $G_{2}$ -manifolds and Calabi--Yau $3$ -folds, with fixed asy…

cs.CG2025

Counting Equilibria of the Electrostatic Potential

Herbert Edelsbrunner, Christopher Fillmore, GonÃ§alo Oliveira

In 1873, James C. Maxwell conjectured that the electric field generated by $n$ point charges in generic position has at most $(n - 1)^{2}$ isolated zeroes. The first (non-optimal) uppe…

math.DG2024

Neck pinch singularities and Joyce conjectures in Lagrangian mean curvature flow with circle symmetry

Jason D. Lotay, Goncalo Oliveira

In this article we consider the Lagrangian mean curvature flow of compact, circle-invariant, almost calibrated Lagrangian surfaces in hyperkÃ¤hler 4-manifolds with circle symmetry.…

Large mass limits of G2​ and Calabi--Yau monopoles: calibrated concentration, Higgs zeros, and abelianization

Counting Equilibria of the Electrostatic Potential

Neck pinch singularities and Joyce conjectures in Lagrangian mean curvature flow with circle symmetry

Large mass limits of $G_{2}$ and Calabi--Yau monopoles: calibrated concentration, Higgs zeros, and abelianization