A. Wilson

activity

20182021

collaborators

4 papers

math.CO2021

Set superpartitions and superspace duality modules

Brendon Rhoades, Andrew Timothy Wilson

The superspace ring $Ω_{n}$ is a rank $n$ polynomial ring tensor a rank $n$ exterior algebra. Using an extension of the Vandermonde determinant to $Ω_{n}$ , the authors previously defin…

math.CO2019

Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive

Vasu Tewari, Andrew Timothy Wilson, Philip B. Zhang

Motivated by the study of Macdonald polynomials, J. Haglund and A. Wilson introduced a nonsymmetric polynomial analogue of the chromatic quasisymmetric function called the \emph{ch…

math.CO2019

Vandermondes in superspace

Brendon Rhoades, Andrew Timothy Wilson

Superspace of rank $n$ is a $Q$ -algebra with $n$ commuting generators $x_{1}, \dots, x_{n}$ and $n$ anticommuting generators $θ_{1}, \dots, θ_{n}$ . We present an extension of the…

math.CO2018

Line configurations and r-Stirling partitions

Brendon Rhoades, Andrew Timothy Wilson

A set partition of $[n] := {1, 2, \dots, n}$ is called {\em $r$ -Stirling} if the numbers $1, 2, \dots, r$ belong to distinct blocks. Haglund, Rhoades, and Shimozono constructed…