2 citations · 9 across the 12 of their papers we have counts for
4 papers · 1 filter
Tropical superelliptic curves
Madeline Brandt, Paul Alexander Helminck
We present an algorithm for computing the Berkovich skeleton of a superelliptic curve over a valued field. After defining superelliptic weighted metric graphs, we show t…
Optimal Packings of Two to Four Equal Circles on Any Flat Torus
Madeline Brandt, William Dickinson, AnnaVictoria Ellsworth +2
We find explicit formulas for the radii and locations of the circles in all the optimally dense packings of two, three or four equal circles on any flat torus, defined to be the qu…
The degree of
Madeline Brandt, DJ Bruce, Taylor Brysiewicz +2
We provide a closed formula for the degree of over an algebraically closed field of characteristic zero. In addition, we describe symbolic and numerical techniques w…
From Curves to Tropical Jacobians and Back
Barbara Bolognese, Madeline Brandt, Lynn Chua
Given a curve defined over an algebraically closed field which is complete with respect to a nontrivial valuation, we study its tropical Jacobian. This is done by first tropicalizi…