Tomás S. R. Silva

collaborators

5 papers

math.AG2026

A semicontinuous relaxation of Saito's criterion and freeness as angular minimization

TomÃ¡s S. R. Silva

We introduce a nonnegative functional $S$ on the space of line arrangements in $P^{2}$ that vanishes precisely on free arrangements, obtained as a semicontinuous…

math.DG2026

Minimising Willmore Energy via Neural Flow

Edward Hirst, Henrique N. SÃ¡ Earp, TomÃ¡s S. R. Silva

The neural Willmore flow of a closed oriented $2$ -surface in $R^{3}$ is introduced as a natural evolution process to minimise the Willmore energy, which is the squared $L^{2}$ …

math.DG2026

The exterior derivative and the mean value equality in $R^{n}$

Daniel Fadel, Henrique N. SÃ¡ Earp, TomÃ¡s S. R. Silva

This survey revisits classical results in vector calculus and analysis by exploring a generalised perspective on the exterior derivative, interpreting it as a measure of "infinites…

math.DG2026

Neural and numerical methods for $G_{2}$ -structures on contact Calabi-Yau 7-manifolds

Elli Heyes, Edward Hirst, Henrique N. SÃ¡ Earp +1

A numerical framework for approximating $G_{2}$ -structure 3-forms on contact Calabi-Yau manifolds is presented. The approach proceeds in three stages: first, existing neural…

hep-th2025

Metaheuristic Generation of Brane Tilings

Yang-Hui He, Vishnu Jejjala, TomÃ¡s S. R. Silva

The combinatorics of dimer models on brane tilings describe a large class of four-dimensional $N = 1$ gauge theories that afford quiver descriptions and have toric moduli s…

A semicontinuous relaxation of Saito's criterion and freeness as angular minimization

Minimising Willmore Energy via Neural Flow

The exterior derivative and the mean value equality in Rn

Neural and numerical methods for G2​-structures on contact Calabi-Yau 7-manifolds

Metaheuristic Generation of Brane Tilings

The exterior derivative and the mean value equality in $R^{n}$

Neural and numerical methods for $G_{2}$ -structures on contact Calabi-Yau 7-manifolds