5 problems

Let $g$ be a genus and let $D$ be an effective divisor on $\overline{\mathcal{M}}_g$. Its slope $s(D)$ is the smallest rational number $a/b\geq 0$ such that … is an effective combi…

Let $D$ be an effective divisor on $\overline{\mathcal{M}}_g$, with slope $s(D)$ defined from its class in the standard basis of the Picard group. Harris–Morrison's equality conjec…

Let $\overline{\mathcal{M}}_g$ be the moduli space of stable curves of genus $g$, and let $s_g$ be its slope. For an effective divisor $D$ on $\overline{\mathcal{M}}_g$, write … wh…

For a knot $K\subset S^3$, write the maximal and minimal degrees of its colored Jones function as quadratic quasi-polynomials … A knot is called mono-sloped when each…

Let $\overline{\mathcal M}_{g}$ be the Deligne–Mumford moduli space of genus $g$ stable curves. For an effective divisor $D=a\lambda-\sum_{i=0}^{\lfloor g/2\rfloor}b_i\delta_i$ wit…