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math.CO2021
The "Young" and "reverse" dichotomy of polynomials
S. Mason, D. Searles
A "flip-and-reversal" involution arising in the study of quasisymmetric Schur functions provides a passage between what we term "Young" and "reverse" variants of bases of polynomia…
math.CO2020
Lifting the dual immaculate functions
Sarah Mason, Dominic Searles
We introduce two lifts of the dual immaculate quasisymmetric functions to the polynomial ring. We establish positive formulas for expansions of these dual immaculate slide polynomi…
math.CO2018
Polynomials from combinatorial -theory
Cara Monical, Oliver Pechenik, Dominic Searles
We introduce two new bases of the ring of polynomials and study their relations to known bases. The first basis is the quasiLascoux basis, which is simultaneously both a -theore…