Moduli spaces provide a geometric framework for parametrising families of algebraic varieties or sheaves, organising objects that share common invariants into a coherent space. Their construction ...

Caucher Birkar, who grew up on farm in Iran, become the first Kurd to win a Fields Medal for his explorations of a nearly abandoned corner of mathematics.

Algebraic geometry studies geometric objects defined by polynomial equations, known as varieties, and the spaces that parametrise families of these objects, known as moduli spaces. Central to the ...