Beauville surfaces, celebrated for their rich interplay between algebraic geometry and group theory, represent a striking class of complex algebraic surfaces constructed as quotients of products of ...

This research seminar will be an introduction to the theory of "Moduli spaces of complex curves". Subjects to be covered will include: Teichmüller spaces and mapping class groups, hyperbolic geometry ...

Algebraic stacks and moduli spaces constitute fundamental frameworks in modern algebraic geometry for classifying geometric objects up to isomorphism. By extending traditional schemes to incorporate ...

Mathematicians have struggled to understand the moduli space of graphs. A new paper uses tools from physics to peek inside. “That’s a super hard problem. It’s amazing they were able to,” said Dan ...