Elli Heyes

activity

20222026

most citedNew Calabi-Yau Manifolds from Genetic Algorithms

21 citations · 80 across the 14 of their papers we have counts for

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math.DG2026

The Kähler-Einstein metric on the third Del Pezzo surface

Timothy Buttsworth, William Hadden, Elli Heyes +2

The compact four-dimensional manifold $CP_{2} #3 CP_{2}$ is known to admit a toric Kähler-Einstein metric $g_{KE}$ , but the metric is not known in c…

math.DG2026

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

Elli Heyes, Edward Hirst, Henrique N. Sá 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…

math.DG2023★ 11 cited

Machine learning Sasakian and $G_{2}$ topology on contact Calabi-Yau $7$ -manifolds

Daattavya Aggarwal, Yang-Hui He, Elli Heyes +3

We propose a machine learning approach to study topological quantities related to the Sasakian and $G_{2}$ -geometries of contact Calabi-Yau $7$ -manifolds. Specifically, we compute da…

The Kähler-Einstein metric on the third Del Pezzo surface

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

Machine learning Sasakian and G2​ topology on contact Calabi-Yau 7-manifolds

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

Machine learning Sasakian and $G_{2}$ topology on contact Calabi-Yau $7$ -manifolds