3 papers
math.DG2026
Singly periodic maximal graphs with isolated singularities in Lorentz-Minkowski 3-space
Peter Connor, Shoichi Fujimori
Utilizing the Weierstrass representation for embedded doubly periodic minimal surfaces with parallel ends, we construct entire singly periodic graphs of spacelike maximal surfaces…
math.DG2026
Genus three embedded doubly periodic minimal surfaces with parallel ends
Peter Connor, Shoichi Fujimori, Phillip Marmorino +1
We construct a one-parameter family of embedded doubly periodic minimal surfaces of genus three with four parallel ends. The Weierstrass data for each surface of the family are giv…
math.DG2025
An end-to-end construction of doubly periodic minimal surfaces
Peter Connor, Kevin Li
Using Traizet's regeneration method, we prove that for each positive integer n there is a family of embedded, doubly periodic minimal surfaces with parallel ends in Euclidean space…