In this thesis, we study questions from enumerative geometry of local surfaces. We give a definition for local Gromov–Witten and local Gopakumar–Vafa invariants for some singular surfaces as a ...

This volume contains the proceedings of the workshop Crossing the Walls in Enumerative Geometry, held in May 2018 at Snowbird, Utah. It features a collection of both expository and research articles ...

We introduce a Transformer-based approach to computational enumerative geometry, specifically targeting the computation of $\psi$-class intersection numbers on the moduli space of curves. Traditional ...

Abstract: In enumerative algebraic geometry, we try to compute invariants of varieties, usually defined as certain counts of objects in an associated moduli space. In this talk, we give an ...

I will introduce a new framework for studying the enumerative geometry of general algebraic stacks, which is intrinsic to the stack, and generalizes existing enumerative theories for moduli stacks of ...

Abstract: Cramer's theorem from 1750 is a beautiful illustration of enumerative geometry: there is exactly one curve in the plane if we impose the right number and type of constraints. More recently, ...

The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg, and Haudenosaunee peoples. Our main campus is situated on the ...

Moduli spaces of curves and abelian varieties, tautological classes, Siegel and Teichmüller modular forms, and their relation to the cohomology of moduli spaces, linear orbits of plane curves ...