13 citations · 46 across the 6 of their papers we have counts for
8 papers
Sullivant-Talaska ideal of the cyclic Gaussian Graphical Model
Austin Conner, Kangjin Han, Mateusz Michałek
In this paper, we settle a conjecture due to Sturmfels and Uhler concerning generation of the prime ideal of the variety associated to the Gaussian graphical model of any cycle gra…
Polynomial systems admitting a simultaneous solution
Austin Conner, Mateusz Michalek, Michael Schindler +1
We provide a complete description of the ideal that serves as the resultant ideal for n univariate polynomials of degree d. We in particular describe a set of generators of this re…
Characteristic numbers and chromatic polynomial of a tensor
Austin Conner, Mateusz Michałek
We introduce the characteristic numbers and the chromatic polynomial of a tensor. Our approach generalizes and unifies the chromatic polynomial of a graph and of a matroid, charact…
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 of matrix multiplication. The Kronecker square of the small …
New lower bounds for matrix multiplication and the 3x3 determinant
Austin Conner, Alicia Harper, J. M. Landsberg
Let denote the matrix multiplication tensor (and write ) and let $det_3\in ( C^9)^{\o…
Tensors with maximal symmetries
Austin Conner, Fulvio Gesmundo, Joseph M. Landsberg +1
We classify tensors with maximal and next to maximal dimensional symmetry groups under a natural genericity assumption (1-genericity), in dimensions greater than 7. In other words,…