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math.DG2025
A new family of minimal surfaces of even genus in the three-dimensional sphere
Mario B. Schulz, David Wiygul
We discover a family of closed, embedded minimal surfaces in the three-dimensional round sphere which includes new examples with low genus. The existence proof relies on an equivar…
math.DG2019
The index and nullity of the Lawson surfaces
Nikolaos Kapouleas, David Wiygul
We prove that the Lawson surface in Lawson's original notation, which has genus and can be viewed as a desingularization of two orthogonal great two-spheres in the ro…
math.DG2017★ 3 cited
Free-boundary minimal surfaces with connected boundary in the -ball by tripling the equatorial disc
Nicolaos Kapouleas, David Wiygul
In the Euclidean unit three-ball, we construct compact, embedded, two-sided free boundary minimal surfaces with connected boundary and prescribed high genus, by a gluing constructi…