6 problems

Generating conjecture. The ideal of homogeneous invariants for the 2-state GM+I model on $T$ is generated by those $3\times 3$ minors of edge flattenings that do not involve the va…

Finite abelian group bound. For any finite abelian group $G$ and any positive integer $n$,

Garcia–Stillman–Sturmfels conjecture. The ideal $\mathfrak a(2;2,2,\dots,2)$ is generated by the $3\times 3$ minors of all two-dimensional flattenings arising from bipartitions of…

Sturmfels–Sullivant's group-based degree-bound conjecture. For any group $G$, the ideal of the group-based model is generated in degree at most $|G|$ for any tree $T$.

Sturmfels–Sullivant's 3-Kimura conjecture. The ideal of the 3-Kimura model is generated in degree at most $4$ for any tree $T$.

Sturmfels–Sullivant's conjecture. For every abelian group $G$,