Marino Romero

most citedThe Delta Conjecture at

q = 1

5 citations · 5 across the 3 of their papers we have counts for

collaborators

3 papers

math.QA2025

Tesler identities for wreath Macdonald polynomials

Marino Romero, Joshua Jeishing Wen

We give an explicit formula for an operator that sends a wreath Macdonald polynomial to the delta function at a character associated to its partition. This allows us to prove many…

math.CO2025

On Macdonald expansions of $q$ -chromatic symmetric functions and the Stanley-Stembridge Conjecture

Sean T. Griffin, Anton Mellit, Marino Romero +2

The Stanley-Stembridge conjecture asserts that the chromatic symmetric function of a $(3 + 1)$ -free graph is $e$ -positive. Recently, Hikita proved this conjecture by giving an explic…

math.CO2016★ 5 cited

The Delta Conjecture at $q = 1$

Marino Romero

We use a weight-preserving, sign-reversing involution to find a combinatorial expansion of $Δ_{e_{k}} e_{n}$ at $q = 1$ in terms of the elementary symmetric function basis. We then use a…

Tesler identities for wreath Macdonald polynomials

On Macdonald expansions of q-chromatic symmetric functions and the Stanley-Stembridge Conjecture

The Delta Conjecture at q=1

On Macdonald expansions of $q$ -chromatic symmetric functions and the Stanley-Stembridge Conjecture

The Delta Conjecture at $q = 1$