3 problems

Let $f\in\mathbb{C}[[x,y,z]]$ be an isolated hypersurface singularity. Let $\mu$ be its Milnor number and $p_g$ its geometric genus. Durfee's conjecture. … with equality only when…

Let $n=2\ell$, assume that $\operatorname{char}(F)$ is zero or sufficiently positive, and let $\mathcal{C}_m$ be the $m$-th inflectionary curve from $y^n=x^5+x^3+sx$. D4 genus conj…

Let $n=2\ell$, let $F$ have characteristic zero or sufficiently positive characteristic, and let $\mathcal{C}^{\ell}_m\subset\mathbb{P}(1,2,1)$ be the inflectionary curve derived f…