Terry Dekun Song

activity

20242026

collaborators

5 papers

math.CO2026

Pólya enumeration, wreath product symmetric functions, and moduli spaces of curves

Siddarth Kannan, Terry Dekun Song

We develop a calculus for $S_{n}$ -equivariant Euler characteristics of moduli spaces of stable curves and stable maps. Our approach involves an enrichment of Pólya's cycle index poly…

math.AG2026

Topology of the Vakil--Zinger moduli space

Terry Dekun Song

We derive a set of generators for the rational homology of the desingularised genus one mapping space $M_{1, n} (P^{r}, d)$ constructed by Vakil--Zinger a…

math.AG2026

Virtual Hodge numbers of $M_{g, n} (P^{r}, d)$ : stability and calculations

Siddarth Kannan, Terry Dekun Song

We study $S_{n}$ -equivariant motivic invariants of the moduli space $M_{g, n} (P^{r}, d)$ of degree- $d$ maps from $n$ -pointed curves of genus $g$ to $\mathbb…

math.AG2025

Graph enumeration for moduli spaces of curves and maps

Siddarth Kannan, Terry Dekun Song

We develop a calculus based on graph enumeration for $S_{n}$ -equivariant motivic invariants of graphically stratified moduli spaces. We apply our theory to the Deligne--Mumford modul…

math.AG2024

The $S_{n}$ -equivariant Euler characteristic of $M_{1, n} (P^{r}, d)$

Siddarth Kannan, Terry Dekun Song

We compute the $S_{n}$ -equivariant topological Euler characteristic of the Kontsevich moduli space $M_{1, n} (P^{r}, d)$ . Letting $\overline{\mathcal{M}}_{…

Pólya enumeration, wreath product symmetric functions, and moduli spaces of curves

Topology of the Vakil--Zinger moduli space

Virtual Hodge numbers of Mg,n​(Pr,d): stability and calculations

Graph enumeration for moduli spaces of curves and maps

The Sn​-equivariant Euler characteristic of M1,n​(Pr,d)

Virtual Hodge numbers of $M_{g, n} (P^{r}, d)$ : stability and calculations

The $S_{n}$ -equivariant Euler characteristic of $M_{1, n} (P^{r}, d)$