Isaiah Siegl

collaborators

3 papers

math.CO2025

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis

Isaiah Siegl

Tatsuyuki Hikita recently proved the Stanley--Stembridge conjecture using probabilistic methods, showing that the chromatic symmetric functions of unit interval graphs are $e$ -posi…

math.CO2022

Noncommutative Schur functions for posets

Jonah Blasiak, Holden Eriksson, Pavlo Pylyavskyy +1

The machinery of noncommutative Schur functions is a general approach to Schur positivity of symmetric functions initiated by Fomin-Greene. Hwang recently adapted this theory to po…

math.CO2022

Cylindric $P$ -Tableaux for (3+1)-Free Posets

Isaiah Siegl

For a $(3 + 1)$ -free poset $P$ , we define a hybrid of $P$ -tableaux and cylindric tableaux called cylindric $P$ -tableaux. We introduce $P$ -analogs of cylindric Schur functions, define…

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis

Noncommutative Schur functions for posets

Cylindric P-Tableaux for (3+1)-Free Posets

Cylindric $P$ -Tableaux for (3+1)-Free Posets