“Embedded isothermic tori from holomorphic maps”
This project is funded by the Austrian Science Fund (FWF).
International Project Partners:
Tim Hoffmann (TUM) & Andrew Sageman-Furnas (North Carolina State Univ)
Grant DOI: 10.55776/PAT2599325
Duration: 09/2025 — 08/2027
Funding volume: 210,141 €
Project Description
Isothermic surfaces form a rich integrable class, including minimal and constant mean curvature (CMC) surfaces in space forms, and therefore play a central role in differential geometry. Away from umbilics, they are characterized by the existence of conformal curvature line coordinates. Most of the extensive theory on them is of a local nature.
This project uses the method of lifted-folding to investigate global questions on smooth and discrete isothermic surfaces foliated by a family of spherical curvature lines.
