# Members & Guests

## Thorsten Hertl

### Doctoral student

Georg-August-Universität Göttingen/Universität Augsburg

E-mail: thorsten.hertl(at)stud.uni-goettingen.de

## Publications within SPP2026

Starting at a saddle tower surface, we give a new existence proof of the Lawson surfaces ξm,k of high genus by deforming the corresponding DPW potential. As a byproduct, we obtain for fixed m estimates on the area of ξm,k in terms of their genus g=mk≫1.

 Pages 31 Link to preprint version

We show that the homogeneous and the 2-lobe Delaunay tori in the 3-sphere provide the only isothermic constrained Willmore tori in 3-space with Willmore energy below 8π. In particular, every constrained Willmore torus with Willmore energy below 8π and non-rectangular conformal class is non-degenerated.

 Pages 19 Link to preprint version

We show that the of 2-lobed Delaunay tori are stable as constrained Willmore surfaces in the 3-sphere.

 Pages 14 Link to preprint version
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