3 problems

Let $K$ be a smooth knot whose Conway polynomial has an odd quadratic term. An inscribed knot is a knot obtained from points on $K$ by connecting consecutive points with straight s…

Let $\gamma:\mathbb{R}\to\mathbb{R}^3$ be an analytic $\mathbb{Z}$-periodic function with nonvanishing derivative that parameterizes a right-handed trefoil. A polygonal inscribed t…

Alternating quadrisecant approximation conjecture. Such sequences exist for every $\varepsilon>0$. The conjecture would connect the existence of alternating quadrisecants with insc…