Mitsuki Hanada

activity

20202026

most citedGeneralized parking function polytopes

2 citations · 2 across the 5 of their papers we have counts for

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math.CO2024

A charge monomial basis of the Garsia-Procesi ring

Mitsuki Hanada

We construct a basis of the Garsia-Procesi ring using the catabolizability type of standard Young tableaux and the charge statistic. This basis turns out to be equal to the descent…

math.CO2024

Polyhedral geometry of refined $q, t$ -Catalan numbers

Matthias Beck, Mitsuki Hanada, Max Hlavacek +3

We study a refinement of the $q, t$ -Catalan numbers introduced by Xin and Zhang (2022, 2023) using tools from polyhedral geometry. These refined $q, t$ -Catalan numbers depend on a ve…

A charge monomial basis of the Garsia-Procesi ring

Polyhedral geometry of refined q,t-Catalan numbers

Polyhedral geometry of refined $q, t$ -Catalan numbers