Research

List of Publications and Preprints

• Quantitative $C^1$-stability of spheres in rank one symmetric spaces of non-compact type, preprint

• Approaching the isoperimetric problem in $H^m_\mathbb{C}$ via the hyperbolic log-convex density conjecture, in Calc. Var. Partial Differential Equations 2023

• Local existence of smooth solutions for the semigeostrophic equations on curved domains, in SIAM J. Math. Anal. 2023

Given Talks

• Jun 2024 3rd ISTA Summer School in Analysis and Mathematical Physics: ISTA Vienna, Mini talk, Title: Large scale control and curvature obstructions in meteorology.
• Mar 2024 Geometry Seminar: University College London, Title: The isoperimetric conjecture in the complex hyperbolic space: Hopf-symmetries and densities.
• Feb 2024 Oberwolfach workshop: Applications of Optimal Transportation, MFO, Title: Solutions of the semigeostrophic equation on a rotating sphere.
• Dec 2023 MathPhys Analysis seminar, ISTA Vienna, Title: Solutions of the semigeostrophic equation on a rotating sphere.
• Dec 2023 Research talk at Hausdorff Center, University of Bonn, Title: The isoperimetric conjecture in the complex hyperbolic space: Hopf-symmetries and densities
• Jul 2023 (Poster contribution) Geometry and analysis of groups and manifolds, De Giorgi Center of SNS Pisa
• 2022, Seminario di Equazioni Differenziali e Applicazioni, University of Padova, Title: The isoperimetric conjecture in the complex hyperbolic space: Hopf-symmetries and densities
• 2022, Zurich graduate colloquium, ETH Zürich, Title: What is…a Monge-Ampère equation?
• 2021, Geometry Graduate Colloquium, ETH Zürch, Title: A sub-Riemannian promenade in the Heisenberg group

Conferences attended

• Jun 2024 CHallenges in ANalisys and GEometry: ETH Zurich.
• Jun 2024 3rd ISTA Summer School in Analysis and Mathematical Physics: ISTA Vienna.
• Feb 2024 Oberwolfach workshop: Applications of Optimal Transportation, MFO.
• Sept 2023 Conference in honour of Luigi Ambrosio’s 60th birthday, ETH Zürich
• Jul 2023 Geometry and analysis of groups and manifolds, De Giorgi Center of SNS Pisa
• Oct 2022 Symmetry and shape, University of Santiago de Compostela
• Jun 2022 Isoperimetric Problems, Dipartimento di Matematica Università di Pisa
• Jun 2022 Geometric analysis and calibrated geometries, ETH Zürich
• May 2022 SMS Doctoral Day, University Fribourg