5 citations · 9 across the 9 of their papers we have counts for
15 papers
A symmetric function lift of torus link homology
Andy Wilson
Suppose and are positive integers and let , , and . We define a symmetric function as a weighted sum over certain tuples of lattic…
Set superpartitions and superspace duality modules
Brendon Rhoades, Andrew Timothy Wilson
The superspace ring is a rank polynomial ring tensor a rank exterior algebra. Using an extension of the Vandermonde determinant to , the authors previously defin…
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…
Vandermondes in superspace
Brendon Rhoades, Andrew Timothy Wilson
Superspace of rank is a -algebra with commuting generators and anticommuting generators . We present an extension of the…
The valley version of the Extended Delta Conjecture
Dun Qiu, Andrew Timothy Wilson
The Shuffle Theorem of Carlsson and Mellit gives a combinatorial expression for the bigraded Frobenius characteristic of the ring of diagonal harmonics, and the Delta Conjecture of…
Line configurations and r-Stirling partitions
Brendon Rhoades, Andrew Timothy Wilson
A set partition of is called {\em -Stirling} if the numbers belong to distinct blocks. Haglund, Rhoades, and Shimozono constructed…
Tail positive words and generalized coinvariant algebras
Brendon Rhoades, Andrew Timothy Wilson
Let and be nonnegative integers and let be the symmetric group. We introduce a quotient of the polynomial ring in var…
Macdonald polynomials and chromatic quasisymmetric functions
James Haglund, Andrew Timothy Wilson
We express the integral form Macdonald polynomials as a weighted sum of Shareshian and Wachs' chromatic quasisymmetric functions of certain graphs. Then we use known expansions of…
Torus link homology and the nabla operator
Andrew Timothy Wilson
In recent work, Elias and Hogancamp develop a recurrence for the Poincaré series of the triply graded Hochschild homology of certain links, one of which is the torus link.…
A weighted sum over generalized Tesler matrices
Andrew Timothy Wilson
We generalize previous definitions of Tesler matrices to allow negative matrix entries and negative hook sums. Our main result is an algebraic interpretation of a certain weighted…
The Delta Conjecture
James Haglund, Jeffrey Remmel, Andrew Timothy Wilson
We conjecture two combinatorial interpretations for the symmetric function , where is an eigenoperator for the modified Macdonald polynomials defined by Bergeron…
An extension of MacMahon's Equidistribution Theorem to ordered multiset partitions
Andrew Timothy Wilson
A classical result of MacMahon states that inversion number and major index have the same distribution over permutations of a given multiset. In this work we prove a strengthening…
An extension of MacMahon's Equidistribution Theorem to ordered set partitions
Jeffrey B. Remmel, Andrew Timothy Wilson
We prove a conjecture of Haglund which can be seen as an extension of the equidistribution of the inversion number and the major index over permutations to ordered set partitions.…
Block patterns in Stirling permutations
Jeffrey B. Remmel, Andrew Timothy Wilson
We introduce and study a new notion of patterns in Stirling and -Stirling permutations, which we call block patterns. We prove a general result which allows us to compute genera…
Bijections for the Shi and Ish arrangements
Emily Leven, Brendon Rhoades, Andrew Timothy Wilson
The {\sf Shi hyperplane arrangement} Shi(n) was introduced by Shi to study the Kazhdan-Lusztig cellular structure of the affine symmetric group. The {\sf Ish hyperplane arrangement…