79 citations · 407 across the 53 of their papers we have counts for
3 papers · 2 filters
Numerical computation of Galois groups
Jonathan D. Hauenstein, Jose Israel Rodriguez, Frank Sottile
The Galois/monodromy group of a family of geometric problems or equations is a subtle invariant that encodes the structure of the solutions. Computing monodromy permutations using…
Computing complex and real tropical curves using monodromy
Daniel A. Brake, Jonathan D. Hauenstein, Cynthia Vinzant
Tropical varieties capture combinatorial information about how coordinates of points in a classical variety approach zero or infinity. We present algorithms for computing the rays…
On deflation and multiplicity structure
Jonathan D. Hauenstein, Bernard Mourrain, Agnes Szanto
This paper presents two new constructions related to singular solutions of polynomial systems. The first is a new deflation method for an isolated singular root. This construction…