J. M. Landsberg

activity

20202026

most citedBad and good news for Strassen's laser method: Border rank of the 3x3 permanent and strict submultiplicativity

2 citations · 2 across the 4 of their papers we have counts for

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math.AG2026

Disjoint and nearly disjoint sums of matrix multiplication tensors and their centroids

Martin Kassabov, J. M. Landsberg, Victor Souza +1

This paper addresses centroids, which are fundamental invariants of tensors. Our main results are as follows: (i) The construction of explicit tensors with very large centroids, wh…

math.AG2022

Concise tensors of minimal border rank

Joachim Jelisiejew, J. M. Landsberg, Arpan Pal

We determine defining equations for the set of concise tensors of minimal border rank in $C^{m} \otimes C^{m} \otimes C^{m}$ when $m = 5$ and the set of concise minimal border rank $1_{*}$ -gen…

math.AG2020★ 2 cited

Bad and good news for Strassen's laser method: Border rank of the 3x3 permanent and strict submultiplicativity

Austin Conner, Hang Huang, J. M. Landsberg

We determine the border ranks of tensors that could potentially advance the known upper bound for the exponent $ω$ of matrix multiplication. The Kronecker square of the small $q = 2$ …