Benjamin Bode

most citedConstructing a polynomial whose nodal set is any prescribed knot or link

5 citations · 5 across the 3 of their papers we have counts for

collaborators

3 papers

math.GT2023

Saddle point braids of braided fibrations and pseudo-fibrations

Benjamin Bode, Mikami Hirasawa

Let $g_{t}$ be a loop in the space of monic complex polynomials in one variable of fixed degree $n$ . If the roots of $g_{t}$ are distinct for all $t$ , they form a braid $B_{1}$ on $n$ st…

math.DS2023

The topology of stable electromagnetic structures and Legendrian fields on the 3-sphere

Benjamin Bode, Daniel Peralta-Salas

Null solutions to Maxwell's equations in free space have the property that the topology of the electric and magnetic lines is preserved for all time. In this article we connect the…

math.GT2016★ 5 cited

Constructing a polynomial whose nodal set is any prescribed knot or link

Benjamin Bode, Mark R. Dennis

We describe an algorithm that for every given braid $B$ explicitly constructs a function $f : C^{2} \to C$ such that $f$ is a polynomial in $u$ , $v$ and $\ove…