ERC Consolidator Grant · 2022
Enumerative geometry is the field of algebraic geometry dealing with counting geometric objects satisfying constraints. For instance, in Ancient Greece, Apollonius asked how many circles are tangent to three given circles in the plane. It is a very active area due to unexpected connections with other fields of mathematics and physics. So far, modern enumerative geometry is largely about counting curves. Recently I worked on foundations for a theory for counting surfaces in 4-dimensional spaces. This is the starting point of this proposal, which is about discovering new properties of 4-dimensional spaces using surface counting. Project A explores surface counting in Calabi-Yau, hyper-Kähler,…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.