7 problems

Degree-bounded expected value polynomial conjecture. The polynomial $\mathcal{E}(G,S,q)$ has degree at most $\ell$ if and only if, for every $1\leq k\leq s$,

Extension conjecture. Theorem still holds for $d\geq p$.

Arjevani et al.'s lower-bound conjecture. For every such $q$, $r$, and $\mu$, some $\nu\in[\mu,\ell]$ satisfies the stated spectral-radius lower bound. This conjecture concerns tig…

Let an honest triangulation be a triangulation in the sense used in the paper, and let its canonical Monsky polynomials be the associated pair of polynomials. A polynomial is posit…

Direction-separated polynomial Wolff conjecture. Every set of tubes pointing in $\delta$-separated directions satisfies the polynomial Wolff axioms; more precisely, it satisfies th…

Kakeya conjecture for the polynomial Wolff axioms. For every dimension $n$, there is a complexity $E$ such that, whenever $\mathbb{T}$ is a set of $\delta$-tubes in $\mathbb{R}^n$…

Generalized finite-field distance conjecture. One has