Sarah Eggleston

activity

20232025

collaborators

3 papers

math.AG2025

Real subrank of order-three tensors

Benjamin Biaggi, Jan Draisma, Sarah Eggleston

We study the subrank of real order-three tensors and give a lower bound to the subrank of a real tensor given its complex subrank. Using similar arguments to those used by Bernardi…

math.AG2024

Typical ranks of random order-three tensors

Paul Breiding, Sarah Eggleston, Andrea Rosana

In this paper we study typical ranks of real $m \times n \times ℓ$ tensors. In the case $(m - 1) (n - 1) + 1 \leq ℓ \leq mn$ the typical ranks are contained in ${ℓ, ℓ + 1}$ ,…

math.CO2023

The amoeba dimension of a linear space

Jan Draisma, Sarah Eggleston, Rudi Pendavingh +2

Given a complex vector subspace $V$ of $C^{n}$ , the dimension of the amoeba of $V \cap (C^{*})^{n}$ depends only on the matroid that $V$ defines on the ground set $\{1,…