Abstract: A $G$-cover of a smooth projective curve $X$ over some algebraically closed field of characteristic zero ramified at a finite set $D$ of points, may be identified with a tensor functor from the category of finite representations of $G$ into bundles with parabolic structure along $D$, by work of Nori. Now when $X$ is the sphere and $D= \{0,1,\infty\},$ the parabolic bundle is of the form of $\oplus\mathcal{O}(s_i)$ for some integers $s_i$. These constants are very difficult to determine in general, but Ajneet Dhillon devised a clever method of bounding them using group theoretic data, and this is the subject of my talk.