Lycka Drakengren

activity

20222026

collaborators

5 papers

math.AG2026

The fiber product of the Torelli map with any product $A_{g_{1}} \times \dots \times A_{g_{k}} \to A_{g}$ is reduced

Lycka Drakengren

We prove that the fiber product of the Torelli map $t : M_{g}^{c t} \to A_{g}$ with any product $\mathcal{A}_{g_1}\times\dots\times \mathcal{A}_{g_k} \to \mathca…

math.AG2026

Torelli loci, product cycles, and the homomorphism conjecture for $A_{g}$

Samir Canning, Lycka Drakengren, Jeremy Feusi +7

The tautological $Q$ -subalgebra $R^{*} (A_{g}) \subset CH^{*} (A_{g})$ of the Chow ring of the moduli space of principally polarized abelian va…

math.AG2025

Self-intersection of the Torelli map

Lycka Drakengren

The Torelli map $t : M_{g}^{c t} \to A_{g}$ is far from an immersion for $g \geq 3$ : the self-fiber product of the Torelli map for $g \geq 3$ has several component…

math.GR2024

Fundamental groups of 2-complexes with nonpositive planar sectional curvature

Lycka Drakengren

We show that the finite simply connected 2-complexes of nonpositive planar sectional curvature are collapsible. Moreover, we show that each finite connected 2-complex with negative…

math.NT2022

The density of integral quadratic forms having a $k$ -dimensional totally isotropic subspace

Lycka Drakengren, Tom Fisher

We investigate the probability that a random quadratic form in $Z [x_{1}, ..., x_{n}]$ has a totally isotropic subspace of a given dimension. We show that this global probabili…

The fiber product of the Torelli map with any product Ag1​​×⋯×Agk​​→Ag​ is reduced

Torelli loci, product cycles, and the homomorphism conjecture for Ag​

Self-intersection of the Torelli map

Fundamental groups of 2-complexes with nonpositive planar sectional curvature

The density of integral quadratic forms having a k-dimensional totally isotropic subspace

The fiber product of the Torelli map with any product $A_{g_{1}} \times \dots \times A_{g_{k}} \to A_{g}$ is reduced

Torelli loci, product cycles, and the homomorphism conjecture for $A_{g}$

The density of integral quadratic forms having a $k$ -dimensional totally isotropic subspace