Ryan Mickler

collaborators

3 papers

math.CO2026

Congruences of shifted Jack Littlewood-Richardson coefficients

Ryan Mickler

The shifted Jack Littlewood-Richardson coefficients $g^{I^} »_{I^¼ I^½} (I^\pm)$ , first studied by Alexandersson-FÃ©ray, are Laurent polynomials in the Jack parameter $I^\pm$ attached to triples…

math.CO2026

Hidden Structure of Jack Littlewood-Richardson Coefficients

Ryan Mickler

We argue that Jack Littlewood-Richardson coefficients $g_{I^¼ I^½}^{I^} » (I^\pm)$ are specialisations of certain novel polynomials. For the triple of partitions $(I^¼, I^½, I^») = (21, 21, 321)$ , we…

math.CO2025

The Stanley Conjecture Revisited

Ryan Mickler

In the seminal work of Stanley, several conjectures were made on the structure of Littlewood-Richardson coefficients for the multiplication of Jack symmetric functions. Motivated b…