4 problems

Let $K$ be a knot. An essential fold of $K$ is a fold such that every fold with the same hydrophobic core is homotopic to $K$, where the hydrophobic core records the locations of t…

Let $J_{\mathrm{rect}}(x)$ denote the maximum number of points achievable for a binary word $x$ in the two-dimensional rectangular lattice. For binary words $x$ and $y$, Stecher's…

Proteins can have non-trivial topologies, meaning knotted conformations of their main chains. These topologies may be associated with the structural and functional properties of th…

The paper considers the initial stage of protein folding, in which an unfolded protein proceeds toward becoming self-interacting, and notes that folding is observed to be insensiti…