Ryan Mickler

activity

20232026

most citedNew cases of the Strong Stanley Conjecture

2 citations · 2 across the 3 of their papers we have counts for

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math.CO2026

Congruences of shifted Jack Littlewood-Richardson coefficients

Ryan Mickler

The shifted Jack Littlewood-Richardson coefficients $g_{μν}^{λ} (α)$ , first studied by Alexandersson-Féray, are Laurent polynomials in the Jack parameter $α$ attached to triples of pa…

math.CO2026

Hidden Structure of Jack Littlewood-Richardson Coefficients

Ryan Mickler

We argue that Jack Littlewood-Richardson coefficients $g_{μν}^{λ} (α)$ are specialisations of certain novel polynomials. For the triple of partitions $(μ, ν, λ) = (21, 21, 321)$ , we prove t…

math.CO2024

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…

math.CO2023★ 2 cited

New cases of the Strong Stanley Conjecture

Per Alexandersson, Ryan Mickler

We make progress towards understanding the structure of Littlewood-Richardson coefficients $g_{λ, μ}^{ν}$ for products of Jack symmetric functions. Building on recent results of the s…