Mitsuki Hanada

activity

20202026

most citedGeneralized parking function polytopes

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

collaborators

6 papers

math.CO2026

Nonvanishing higher Specht polynomials and a construction for three row and hook shape Garsia--Procesi modules

Raymond Chou, Maria Gillespie, Mitsuki Hanada

Given a polynomial ring quotient $R = C [x_{1}, \dots, x_{n}] / I$ with an action of the symmetric group induced by permuting the variables, a higher Specht basis is a collection of…

math.CO2025

Representation Theoretic Bases for the $Δ$ -Springer Module

Raymond Chou, Mitsuki Hanada

We give a descent monomial basis of $Δ$ -Springer modules $R_{n, λ, s}$ , first defined by Griffin. Our construction simultaneously generalizes the descent basis for the Garsia-Procesi…

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…

math.CO2022★ 2 cited

Generalized parking function polytopes

Mitsuki Hanada, John Lentfer, Andrés R. Vindas-Meléndez

A classical parking function of length $n$ is a list of positive integers $(a_{1}, a_{2}, \dots, a_{n})$ whose nondecreasing rearrangement $b_{1} \leq b_{2} \leq \dots \leq b_{n}$ satisfies…

math.NT2020

Fourier Coefficients of Level 1 Hecke Eigenforms

Mitsuki Hanada, Rachana Madhukara

Lehmer's 1947 conjecture on whether $τ (n)$ vanishes is still unresolved. In this context, it is natural to consider variants of Lehmer's conjecture. We determine many integers that…