2 citations · 3 across the 3 of their papers we have counts for
3 papers
math.GT2022★ 2 cited
The maximum Levine-Tristram signature of torus knots
Ian M. Banfield
We prove that the maximum of the Levine-Tristram signature function of a torus knot satisfies a reduction formula analogous to a result by Gordon-Litherland-Murasugi for the classi…
math.GT2022
Christoffel words and the strong Fox conjecture for two-bridge knots
Ian M. Banfield
The trapezoidal Fox conjecture states that the coefficient sequence of the Alexander polynomial of an alternating knot is unimodal. We are motivated by a harder question, the stron…
math.GT2016★ 1 cited
Almost all strongly quasipositive braid closures are fibered
Ian Banfield
We use the Birman-Ko-Lee presentation of the braid group to show that all closures of strongly quasipositive braids whose normal form contains a positive power of the dual Garside…