2025-MPS-513

Boundary Strata in Moduli Spaces of Genus-One Curves

Elijah Valverde

Department of Mathematics

Faculty Supervisor: Emily Clader

The moduli space of genus-zero curves has boundary strata that record the possible ways in which marked points can be distributed across the components of a curve.  Known results describe the combinatorics of the number of these boundary strata. We will study these results and investigate whether they can be generalized to moduli spaces of genus-one curves.