40 citations · 460 across the 64 of their papers we have counts for
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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…
Khovanskii bases for semimixed systems of polynomial equations -- a case of approximating stationary nonlinear Newtonian dynamics
Viktoriia Borovik, Paul Breiding, Javier del Pino +2
We provide an approach to counting roots of polynomial systems, where each polynomial is a general linear combination of prescribed, fixed polynomials. Our tools rely on the theory…
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…
Equivariant Euler characteristics on permutohedral varieties
Vincenzo Galgano, Hanieh Keneshlou, Mateusz Michalek
By the work of J.Huh, one can interpret binomial coefficients as a solution to an intersection problem on a permutohedral variety . Applying Hirzebruch-Riemann-Roch, this inte…