4 papers
math.AG2023
Stationary Descendents and the Discriminant Modular Form
Adam Afandi
The generating functions of stationary descendent Gromov-Witten invariants of an elliptic curve are known to be Fourier expansions of quasimodular forms. When one restricts to the…
math.AG2022
An Ehrhart Theory For Tautological Intersection Numbers
Adam Afandi
We discover that tautological intersection numbers on , the moduli space of stable genus curves with marked points, are evaluations of Ehrhart pol…
math.AG2020
Polynomiality of Hurwitz-Hodge Integrals
Adam Afandi
Using Atiyah-Bott localization on the space of stable maps to the stack quotient , we find recursions that determine all Hodge integrals with descenden…
math.AG2019
Linear Hyperelliptic Hodge Integrals
Adam Afandi
We provide a closed form expression for linear Hodge integrals on the hyperelliptic locus. Specifically, we find a succinct combinatorial formula for all intersection numbers on th…