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math.DG2026
Conformally Einstein anti-self-dual spaces and their generalisations
Timothy Moy
We study the existence of Einstein scales and compatible metrics in Grassmannian geometry. As a special case, this includes the conformal-to-Einstein problem for anti-self-dual (AS…
math.DG2025
Joyce structures from quadratic differentials on the sphere
Timothy Moy
Motivated by known examples of Joyce structures on spaces of meromorphic quadratic differentials, we consider the isomonodromic deformations of particular second-order linear ODEs…
math.DG2024
Heavenly metrics, hyper-Lagrangians and Joyce structures
Maciej Dunajski, Timothy Moy
In \cite{B3}, Bridgeland defined a geometric structure, named a Joyce structure, conjectured to exist on the space of stability conditions of a triangulated category. Gi…