5 problems

Let $K$ be a satellite Lorenz knot, with pattern $P$ and companion $C$ in the standard satellite construction. Lorenz satellite conjecture. The companion $C$ and pattern $P$ of eve…

Let $(X,Y)$ be a Farey pair, meaning that $Y=m(S)$ for $X,S\in\mathcal{F}^-$, where $X$ and $S$ are Farey neighbours with $S<X$. Let $(X,Y)*S$ denote a Lorenz word of the referred…

Hyperbolicity conjecture. The results of this work should extend to all sets $P(p,q)$: every knot corresponding to a nonstandard word in $P(p,q)$ is hyperbolic.

The Lorenz flow has three fixed points: one in the center of each ear of the Lorenz template and one on its axis of symmetry. Pinsky's missing-trefoil conjecture. The invariant cur…

Let $K$ be a Lorenz knot that is a satellite knot. Then the satellite Lorenz knot conjecture. $K$ is a satellite of a torus knot lying on a Lorenz knot, according to the cabling pa…