David Wiygul

activity

20242026

collaborators

4 papers

math.DG2026

Morse index of Karcher saddle towers in $R^{2} \times S^{1} (m)$

David Wiygul

For each integer $k \geq 3$ Hermann Karcher identified a complete singly periodic minimal surface $Ξ_{k}$ (unique up to similarity) with $2 k$ ends asymptotic to the union of $k$ plan…

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.DG2025

Disc stackings and their Morse index

Alessandro Carlotto, Mario B. Schulz, David Wiygul

We construct free boundary minimal disc stackings, with any number of strata, in the three-dimensional Euclidean unit ball, and prove uniform, linear lower and upper bounds on the…

math.DG2024

Index growth not imputable to topology