Dimca–Greuel's $4/3$ conjecture for plane curve singularities

Let $f\in\mathbb{C}[[x,y]]$ be an isolated hypersurface singularity, with Milnor number $\mu$ and Tjurina number $\tau$. Dimca–Greuel's conjecture.

$$\frac{\mu}{\tau}<\frac{4}{3}.$$

The conjecture was proved completely by P. Almirón in 2022, after earlier results for irreducible plane curves and semi-quasi-homogeneous singularities.