9 citations · 11 across the 5 of their papers we have counts for
8 papers
Critical points of point charge potentials along lines
Goncalo Oliveira
We prove Conjecture 1.9 of Gabrielov-Novikov-Shapiro. More precisely, for every , every nonconstant restriction to a line of a potential generated by point charges has at…
Large mass limits of and Calabi--Yau monopoles: calibrated concentration, Higgs zeros, and abelianization
Daniel Fadel, Goncalo Oliveira
We study large mass monopoles with structure group or on asymptotically conical -manifolds and Calabi--Yau -folds, with fixed asy…
Counting Equilibria of the Electrostatic Potential
Herbert Edelsbrunner, Christopher Fillmore, Gonçalo Oliveira
In 1873, James C. Maxwell conjectured that the electric field generated by point charges in generic position has at most isolated zeroes. The first (non-optimal) uppe…
The Positivity of the Neural Tangent Kernel
Luís Carvalho, João L. Costa, José Mourão +1
The Neural Tangent Kernel (NTK) has emerged as a fundamental concept in the study of wide Neural Networks. In particular, it is known that the positivity of the NTK is directly rel…
Examples of deformed G_2-instantons/Donaldson-Thomas connections
Jason D. Lotay, Goncalo Oliveira
In this note, we provide the first non-trivial examples of deformed G_2-instantons, originally called deformed Donaldson-Thomas connections. As a consequence, we see how deformed G…
Early epidemic spread, percolation and Covid-19
Goncalo Oliveira
Human to human transmissible infectious diseases spread in a population using human interactions as its transmission vector. The early stages of such an outbreak can be modeled by…