Robert P. Laudone

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math.CO2025

Pattern-avoiding shallow permutations

Kassie Archer, Aaron Geary, Robert P. Laudone

Shallow permutations were defined in 1977 to be those that satisfy the lower bound of the Diaconis-Graham inequality. Recently, there has been renewed interest in these permutation…

math.CO2021

A counterexample to a Gröbner approach for noetherianity of the twisted commutative algebra $Sym (Sym^{2} (C^{\infty}))$

Robert P. Laudone

We resolve an open question posed by the authors of arXiv:1501.06925v2 in 2015 concerning a Gröbner theoretic approach for the noetherianity of the twisted commutative algebra ${\r…

Pattern-avoiding shallow permutations

A counterexample to a Gröbner approach for noetherianity of the twisted commutative algebra Sym(Sym2(C∞))

A counterexample to a Gröbner approach for noetherianity of the twisted commutative algebra $Sym (Sym^{2} (C^{\infty}))$