publications

Preprints

2024

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

Publications

2026

  1. Minimal surfaces via equivariant eigenvalue optimization [after Karpukhin, Kusner, McGrath, and Stern]
    Giada Franz
    Séminaire Bourbaki, Astérisque (to appear, Volume 2025/2026). More information on the Bourbaki seminar can be found here , 2026
    PDF Video
  2. Topological control for min-max free boundary minimal surfaces
    Giada Franz and Mario B. Schulz
    J. Eur. Math. Soc. (to appear), 2026
    arXiv

2025

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

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
    DOI arXiv

2023

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

2022

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

2020

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

Theses

2022

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

2018

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