5 problems

Let $M\in{\mathbb Z}_+$ be fixed. For every $0\leq p\leq M$ and every odd positive partition ${\underline{k}}$ of $4g-4+p$, write its parts as $\kappa_1,\dots,\kappa_n$. Adapted vo…

Let $\mathcal{Q}_{g,0}$ denote the moduli space of holomorphic quadratic differentials in genus $g$ without marked points. Large-genus asymptotics conjecture. As $g\to+\infty$, its…

Let $\boldsymbol{d}=(d_1,\dots,d_n)$ be an unordered partition of $4g-4$ with parts $d_i\in\{-1,0,1,2,\dots\}$, and let $\hat\Pi_{4g-4}$ consist of those partitions having at most…

Let $MV_{g,n}$ denote the Masur–Veech volume, and set … For each $g\geq 0$, consider polynomials $p_g,q_g\in\mathbb{Q}[n]$. Polynomial structure conjecture. For any $g\geq 0$, ther…

Let $H_n[d]$ be the fixed-degree coefficients considered in the generating series, and for each $d$ define … For each $d\geq 0$, there exists a polynomial $P_d$ of degree $d$ with…