Research
My PhD Dissertation
⁕ 📄 A geometric approach to isoperimetric problems and the semigeostrophic system
Publications
⁕ 📄 Quantitative C1-stability of spheres in rank one symmetric spaces of non-compact type, to appear in Advances in Calculus of Variations 2024
⁕ 📄 Approaching the isoperimetric problem in HmC via the hyperbolic log-convex density conjecture, in Calculus of Variations and Partial Differential Equations, 2024, vol. 63, no 1, p. 11.
⁕ 📄 Local existence of smooth solutions for the semigeostrophic equations on curved domains, in SIAM Journal on Mathematical Analysis, 2023, vol. 55, no 6, p. 6554-6579.
Given Talks
- Sept 2024 The Pisan Workshop saga, University of Pisa.
- Aug 2024 Workshop Metric Geometry and Geometric Measure Theory , University of Fribourg.
- Jun 2024 3rd ISTA Summer School in Analysis and Mathematical Physics: ISTA Vienna, Mini talk.
- Mar 2024 Geometry Seminar: University College London.
- Feb 2024 Oberwolfach workshop: Applications of Optimal Transportation, MFO.
- Dec 2023 MathPhys Analysis seminar, ISTA Vienna.
- Dec 2023 Research talk at Hausdorff Center, University of Bonn.
- 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.
- 2022, Zurich graduate colloquium, ETH Zürich.
- 2021, Geometry Graduate Colloquium, ETH Zürch.
Conferences attended
- Sept 2024 MeRiOT2024, Villa Monastero, Lake of Como.
- Sept 2024 The Pisan Workshop saga, University of Pisa.
- Aug 2024 Workshop Metric Geometry and Geometric Measure Theory , University of Fribourg.
- 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