In a new preprint, Huy Nguyen has proved the existence of mean curvature flow with surgery in high codimension, one of the main objectives of this grant. Read about this result in his preprint.
Together with Alessandro Carlotto and Giada Franz (both at ETH Zurich), Mario Schulz has employed min-max techniques to show that the unit ball in Euclidean space contains embedded free boundaryminimal surfaces with connected boundary and arbitrary genus. Read all the details in their new preprint.
