8 citations · 11 across the 7 of their papers we have counts for
9 papers
The nonsymmetric shuffle theorem
Jonah Blasiak, Mark Haiman, Jennifer Morse +2
The shuffle conjecture of Haglund et al. expresses the symmetric function as a sum over labeled Dyck paths. Here is an operator on symmetric functions defined…
Flagged LLT polynomials, nonsymmetric plethysm, and nonsymmetric Macdonald polynomials
Jonah Blasiak, Mark Haiman, Jennifer Morse +2
The plethystic transformation and LLT polynomials are central to the theory of symmetric Macdonald polynomials. In this work, we introduce and study nonsy…
A raising operator formula for Macdonald polynomials
Jonah Blasiak, Mark Haiman, Jennifer Morse +2
We give an explicit raising operator formula for the modified Macdonald polynomials , which follows from our recent formula for on an LLT polynomial…
Dens, nests and the Loehr-Warrington conjecture
Jonah Blasiak, Mark Haiman, Jennifer Morse +2
In a companion paper, we introduced raising operator series called Catalanimals. Among them are Schur Catalanimals, which represent Schur functions inside copies $Λ(X^{m,n})\subset…
LLT polynomials in the Schiffmann algebra
Jonah Blasiak, Mark Haiman, Jennifer Morse +2
We identify certain combinatorially defined rational functions which, under the shuffle to Schiffmann algebra isomorphism, map to LLT polynomials in any of the distinguished copies…
A proof of the Extended Delta Conjecture
Jonah Blasiak, Mark Haiman, Jennifer Morse +2
We prove the Extended Delta Conjecture of Haglund, Remmel, and Wilson, a combinatorial formula for , where and are Macdonald eigenoper…
A Shuffle Theorem for Paths Under Any Line
Jonah Blasiak, Mark Haiman, Jennifer Morse +2
We generalize the shuffle theorem and its version, as conjectured by Haglund et al. and Bergeron et al., and proven by Carlsson and Mellit, and Mellit, respectively. In o…
-theoretic Catalan functions
Jonah Blasiak, Jennifer Morse, George H. Seelinger
We prove that the --Schur functions are part of a family of inhomogenous symmetric functions whose top homogeneous components are Catalan functions, the Euler characteristics…
Canonical idempotents of multiplicity-free families of algebras
Stephen Doty, Aaron Lauve, George H. Seelinger
Any multiplicity-free family of finite dimensional algebras has a canonical complete set of of pairwise orthogonal primitive idempotents in each level. We give various methods to c…