Papers

Here is the list of my publications and preprints. The files here include some minor updates and subsequent corrections to the arXiv versions.

  1. Carleman estimates for stationary Q-valued maps: a variational approach (2025) joint with Luca Spolaor. pdf & arxiv & cvgmt.
  2. Decay of excess for the abelian Higgs model (2024) joint with Guido de Philippis and Alessandro Pigati. pdf & arxiv & cvgmt & video.
  3. Quantitative stability for Yang-Mills-Higgs instantons in two dimensions (2023). Arch. Ration. Mech. Anal. 248, 88. pdf & arxiv & cvgmt & Journal.
  4. New weighted inequalities on two-manifolds (2023). pdf & arxiv & cvgmt.
Aria Halavati
A drawing