Christian Gaetz

activity

20202022

most citedSpherical Schubert varieties and pattern avoidance

8 citations · 13 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2022

Positivity of permutation pattern character polynomials

Christian Gaetz, Laura Pierson

Let $N_{σ} (π)$ denote the number of occurrences of a permutation pattern $σ \in S_{k}$ in a permutation $π \in S_{n}$ . Gaetz and Ryba (2021) showed using partition algebras that the $d$ -th…

math.CO2021★ 8 cited

Spherical Schubert varieties and pattern avoidance

Christian Gaetz

A normal variety $X$ is called $H$ -spherical for the action of the complex reductive group $H$ if it contains a dense orbit of some Borel subgroup of $H$ . We resolve a conjecture o…

math.CO2020★ 5 cited

Stable characters from permutation patterns

Christian Gaetz, Christopher Ryba

For a fixed permutation $σ \in S_{k}$ , let $N_{σ}$ denote the function which counts occurrences of $σ$ as a pattern in permutations from $S_{n}$ . We study the expected value (and $d$ -th m…