2 papers
math.AP2026
Counterexamples to Magnanini's conjecture concerning critical points of the torsion function
Parker Edwards, Erik Lundberg, Koushik Ramachandran
We construct planar simply-connected domains whose torsion function has an arbitrary prescribed number of local maxima while the distance to the boundary has only one local maximum…
math.AG2024
On computing local monodromy and the numerical local irreducible decomposition
Parker B. Edwards, Jonathan D. Hauenstein
Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Following the paradigm of numeri…