11 citations · 11 across the 6 of their papers we have counts for
8 papers
A sporadic simplicial arrangement of lines
Tomás S. R. Silva
We construct a sporadic simplicial arrangement of lines in the real projective plane. It is obtained from the icosahedral arrangement by adjoining the …
Data, Numbers, and Geometry: Three Tutorials on Numerical Methods, Machine Learning, and Evaluation
Jessica N. Howard, Yidi Qi, Tomás S. R. Silva
We present three practical tutorials on numerical computation and machine learning for mathematical research, developed for the DANGER: Data, Numbers, and Geometry workshop held at…
Minimising Willmore Energy via Neural Flow
Edward Hirst, Henrique N. Sá Earp, Tomás S. R. Silva
The neural Willmore flow of a closed oriented -surface in is introduced as a natural evolution process to minimise the Willmore energy, which is the squared …
A penalised Saito functional for heuristic search of free line arrangements
Tomás S. R. Silva
We introduce the penalised Saito functional for a reduced arrangement of lines and a prescribed pair . It me…
Neural and numerical methods for -structures on contact Calabi-Yau 7-manifolds
Elli Heyes, Edward Hirst, Henrique N. Sá Earp +1
A numerical framework for approximating -structure 3-forms on contact Calabi-Yau manifolds is presented. The approach proceeds in three stages: first, existing neural…
The exterior derivative and the mean value equality in
Daniel Fadel, Henrique N. Sá Earp, Tomás 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…
Metaheuristic Generation of Brane Tilings
Yang-Hui He, Vishnu Jejjala, Tomás S. R. Silva
The combinatorics of dimer models on brane tilings describe a large class of four-dimensional gauge theories that afford quiver descriptions and have toric moduli s…
Machine learning Sasakian and topology on contact Calabi-Yau -manifolds
Daattavya Aggarwal, Yang-Hui He, Elli Heyes +3
We propose a machine learning approach to study topological quantities related to the Sasakian and -geometries of contact Calabi-Yau -manifolds. Specifically, we compute da…