3 problems

Let $\pi$, $\mu$, and $\nu$ be partitions, and let $g^\pi_{\mu,\nu}$ denote the corresponding hypermap coefficient. Set $b:=\alpha-1$. Sniady's conjecture. For any partitions $\pi$…

Strong automorphism realisation conjecture. The condition that at least one of $p$, $q$ and $r$ is $\infty$ can be omitted from the countable and strong automorphism realisation as…

For a positive integer $a$, let $M_{g,n}^{[a]}(b_1,\ldots,b_n)$ denote the enumeration coefficients of $a$-hypermaps, and let $\omega_{g,n}$ be the correlation differentials produc…