Giacomo Vianello
Giacomo Vianello
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I obtained the Ph.D. at the University of Trento under the supervision of Gian Paolo Leonardi, and I defended my Ph.D. Thesis in July 2024
I obtained the Ph.D. at the University of Trento under the supervision of Gian Paolo Leonardi, and I defended my Ph.D. Thesis in July 2024
Email addresses: giacomo.vianelloATunipd.it - gvianellATmath.unipd.it
Other activities: I am an organizer of the conference Mind the GAP
Some links: cvgmt, ResearchGate, ArXiv
Research interests:
Regularity for free-boundary area-minimizing surfaces in non-smooth containers and their behavior near isolated singularities: do they skip isolated singularities or not? What happens, more generally, for capillary surfaces?
Regularity and existence theory for minimal and CMC surfaces in sub-Riemannian Geometry.
Geometric Inequalities in Riemannian and sub-Riemannian Geometry.
Preprints:
[5] Julian Pozuélo, Simone Verzellesi and Giacomo Vianello. Variational properties of the total inverse mean curvature in the plane under boundary constraints, 2025.
[4] Roberto Monti and Giacomo Vianello. The Plateau's Problem for intrinsic graphs in the Heisenberg Group, 2025.
Published articles:
[3] Gian Paolo Leonardi and Giacomo Vianello. Stability of axial free-boundary hyperplanes in circular cones, published online first on Calc. Var. PDEs, DOI: 10.1007/s00526-025-03145-9, 2025.
[2] Gian Paolo Leonardi and Giacomo Vianello. Free-Boundary Monotonicity for Almost-Minimizers of the Relative Perimeter, published online first on Interfaces and Free-Boundaries, DOI: 10.4171/IFB/544, 2025.
[1] Gian Paolo Leonardi and Giacomo Vianello. A Vertex-Skipping property for almost-minimizers of the relative perimeter in convex sets, Trans. Amer. Math. Soc. 378(5), 3279-3295, 2025.
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