4 papers
Elimination Templates in Macaulay2
Manav Batavia, Cheng Chen, Anna Natalie Chlopecki +4
We introduce the package \texttt{EliminationTemplates} for the Macaulay2 computer algebra system, which provides tools for constructing automatic solvers for families of zero-dimen…
Antidiagonal Initial Complexes of Infinite Matrix Schubert Varieties are Cohen-Macaulay
Anna Natalie Chlopecki, Nathaniel Gallup, Jason Meintjes
We show that, under certain constraints, the Stanley-Reisner ring of an infinite simplicial complex is Cohen-Macaulay in the sense of ideals and weak Bourbaki unmixed. We apply thi…
An elementary proof that linking problems are hard
Shannon Cheng, Anna Chlopecki, Saarah Nazar +1
We give a new, elementary proof of what we believe is the simplest known example of a ``natural'' problem in computational 3-dimensional topology that is -hard -- name…
Permutation polynomials: iteration of shift and inversion maps over finite fields
Anna Chlopecki, Juliano Levier-Gomes, Wayne Peng +2
We show that all permutations in can be generated by affine unicritical polynomials. We use the group structure to compute the cycle structure of permuta…