3 papers
math.GT2026
Khovanov concordance minima and the (4,5) torus knot
Andrew Lobb
Ribbon concordance gives a partial order on knot types, and applying a knot homology functor to a ribbon concordance gives an inclusion of the homologies. The question of the exist…
math.SG2024
Polynomial Inscriptions
Joshua Evan Greene, Andrew Lobb
We prove that for every smooth Jordan curve and for every set of six concyclic points, there exists a non-constant quadratic polynomial…
math.SG2024
Square pegs between two graphs
Joshua Evan Greene, Andrew Lobb
We show that there always exists an inscribed square in a Jordan curve given as the union of two graphs of functions of Lipschitz constant less than . We are motivate…