Papers

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

  1. Min-Max construction of anisotropic minimal surfaces with genus bound (2026) with Antonio De Rosa and Ling Wang. pdf & arxiv & cvgmt.
  2. Carleman estimates for stationary Q-valued maps: a variational approach (2025) with Luca Spolaor. pdf & arxiv & cvgmt.
  3. Decay of excess for the abelian Higgs model (2024) with Guido de Philippis and Alessandro Pigati. J. Eur. Math. Soc. (JEMS), to appear. pdf & arxiv & cvgmt & video.
  4. Quantitative stability for Yang-Mills-Higgs instantons in two dimensions (2023). Arch. Ration. Mech. Anal. 248, 88. pdf & arxiv & cvgmt & Journal.
  5. New weighted inequalities on two-manifolds (2023). Rend. Semin. Mat. Univ. Padova, to appear. pdf & arxiv & cvgmt.
Aria Halavati
A drawing