S. Kannan

activity

20192026

most citedChow Rings of Heavy/Light Hassett Spaces via Tropical Geometry

10 citations · 10 across the 15 of their papers we have counts for

collaborators

16 papers

math.AG2026

Motivic quasimap wall-crossing for Grassmannians

Siddarth Kannan, Terry Dekun Song

We prove a wall-crossing formula for the Euler characteristics, considered as virtual mixed Hodge structures, of moduli spaces of $ε$ -stable quasimaps to the Grassmannian…

math.AG2026

Automorphisms of the boundary complex of $M_{0, n} (P^{r}, d)$

Arjun Joisha, Siddarth Kannan

We compute the automorphism group of the dual complex $T_{d, n}$ of the boundary divisor in the Kontsevich moduli space $M_{0, n} (P^{r}, d)$ . W…

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

Euler characteristics of the universal Picard stack

Siddarth Kannan

We study $S_{n}$ -equivariant weight-graded and topological Euler characteristics of the universal Picard stack $Pic_{g, n}^{d} \to M_{g, n}$ of degree- $d$ l…

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.AG2025

Representation stability for moduli spaces of admissible covers

Megan Chang-Lee, Siddarth Kannan, Philip Tosteson

We prove a representation stability result for the sequence of spaces $M_{g, n}^{A}$ of pointed admissible $A$ -covers of stable $n$ -pointed genus- $g$ curves, for an abelian…

math.AG2025

The $S_{n}$ -equivariant Chow polynomial of the braid matroid

Siddarth Kannan, Lukas Kühne

We determine the generating function for the $S_{n}$ -equivariant Chow polynomials of the braid matroid $B_{n}$ . The Chow polynomial of $B_{n}$ is the Poincaré polynomial of the…

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}}_{…

math.AG2024

The dual complex of $M_{1, n} (P^{r}, d)$ via the geometry of the Vakil--Zinger moduli space

Siddarth Kannan, Terry Dekun Song

We study normal crossings compactifications of the moduli space of maps $M_{g, n} (P^{r}, d)$ , for $g = 0$ and $g = 1$ . In each case we explicitly determine the dua…

math.AG2022

Equivariant Hodge polynomials of heavy/light moduli spaces

Siddarth Kannan, Stefano Serpente, Claudia He Yun

Let $M ˉ_{g, m ∣ n}$ denote Hassett's moduli space of weighted pointed stable curves of genus $g$ for the heavy/light weight data $(1^{(m)}, 1/ n^{(n)})$ , and…

math.AG2022

Moduli of relative stable maps to $P^{1}$ : cut-and-paste invariants

Siddarth Kannan

We study constructible invariants of the moduli space $M (x)$ of stable maps from genus zero curves to $P^{1}$ , relative to $0$ and $\infty$ …

math.CO2021

Automorphisms of tropical Hassett spaces

Sam Freedman, Joseph Hlavinka, Josephine Hlavinka +1

Given an integer $g \geq 0$ and a weight vector $w \in Q^{n} \cap (0, 1]^{n}$ satisfying $2 g - 2 + \sum w_{i} > 0$ , let $Δ_{g, w}$ denote the moduli space of $n$ -marked, $w$ -sta…

math.CO2020

Topology of tropical moduli spaces of weighted stable curves in higher genus

Siddarth Kannan, Shiyue Li, Stefano Serpente +1

Given integers $g \geq 0$ , $n \geq 1$ , and a vector $w \in (Q \cap (0, 1])^{n}$ such that $2 g - 2 + \sum w_{i} > 0$ , we study the topology of the moduli space $Δ_{g, w}$ of…

math.CO2020

Symmetries of tropical moduli spaces of curves

Siddarth Kannan

We compute the automorphism group $Aut (Δ_{g, n})$ for all $g, n \geq 0$ such that $3 g - 3 + n > 0$ , where $Δ_{g, n} \subset M_{g, n}^{trop}$ is the moduli space of…

math.AG2019★ 10 cited

Chow Rings of Heavy/Light Hassett Spaces via Tropical Geometry

Siddarth Kannan, Dagan Karp, Shiyue Li

We compute the Chow ring of an arbitrary heavy/light Hassett space $M ˉ_{0, w}$ . These spaces are moduli spaces of weighted pointed stable rational curves, where the associated…

Motivic quasimap wall-crossing for Grassmannians

Automorphisms of the boundary complex of M0,n​(Pr,d)

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

Euler characteristics of the universal Picard stack

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

Graph enumeration for moduli spaces of curves and maps

Representation stability for moduli spaces of admissible covers

The Sn​-equivariant Chow polynomial of the braid matroid

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

The dual complex of M1,n​(Pr,d) via the geometry of the Vakil--Zinger moduli space

Equivariant Hodge polynomials of heavy/light moduli spaces

Moduli of relative stable maps to P1: cut-and-paste invariants

Automorphisms of tropical Hassett spaces

Topology of tropical moduli spaces of weighted stable curves in higher genus

Symmetries of tropical moduli spaces of curves

Chow Rings of Heavy/Light Hassett Spaces via Tropical Geometry

Automorphisms of the boundary complex of $M_{0, n} (P^{r}, d)$

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

The $S_{n}$ -equivariant Chow polynomial of the braid matroid

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

The dual complex of $M_{1, n} (P^{r}, d)$ via the geometry of the Vakil--Zinger moduli space

Moduli of relative stable maps to $P^{1}$ : cut-and-paste invariants