publications

Preprints

2024

  1. Genus one critical catenoid
    Giada Franz, Daniel Ketover, and Mario B. Schulz
    2024

2023

  1. Topological control for min-max free boundary minimal surfaces
    Giada Franz and Mario B. Schulz
    2023

Publications

2025

  1. Unknottedness of free boundary minimal surfaces and self-shrinkers
    Sabine Chu and Giada Franz
    Calc. Var. Partial Differential Equations, 2025

2024

  1. Estimating the Morse index of free boundary minimal hypersurfaces through covering arguments
    Santiago Cordero-Misteli and Giada Franz
    J. Reine Angew. Math., 2024

2023

  1. On the stability of minimal submanifolds in conformal spheres
    Giada Franz and Federico Trinca
    J. Geom. Anal., 2023
  2. Equivariant index bound for min-max free boundary minimal surfaces
    Giada Franz
    Calc. Var. Partial Differential Equations, 2023

2022

  1. Free boundary minimal surfaces with connected boundary and arbitrary genus
    Alessandro Carlotto, Giada Franz, and Mario B. Schulz
    Camb. J. Math., 2022

2020

  1. Inequivalent complexity criteria for free boundary minimal surfaces
    Alessandro Carlotto and Giada Franz
    Adv. Math., 2020

Theses

2022

  1. Contributions to the theory of free boundary minimal surfaces
    Giada Franz
    Ph.D. thesis, ETH Zurich. Advisor: Alessandro Carlotto , 2022

2018

  1. Construction of alpha-harmonic maps between spheres
    Giada Franz
    Master thesis, University of Pisa. Advisor: Andrea Malchiodi , 2018