Research

My PhD Dissertation

⁕ 📒 A geometric approach to isoperimetric problems and the semigeostrophic system. Diss. ETH Zurich, 2024.

Publications & Preprints

⁕ 📄 with Shrey Aryan, Free energy minimizers with radial densities: classification and quantitative stability, 2024, arxiv preprint.

⁕ 📄 Quantitative C¹-stability of spheres in rank one symmetric spaces of non-compact type. Advances in Calculus of Variations, 2024, no 0.

⁕ 📄 Approaching the isoperimetric problem in H^m_C 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.

Report

⁕ 📒 Guillaume Carlier, Maria Colombo, Virginie Ehrlacher, Daniel Matthes, Applications of Optimal Transportation. Oberwolfach Rep. 21 (2024), no. 1, pp. 309–388.

Given Talks

• Dec 2024 Vienna Geometric Analysis Seminar, University of Vienna.
• Nov 2024 4th Austrian Calculus of Variations Day, Palais Claudiana, Innsbruck.
• 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, Klosterneuburg, Austria, Mini talk.
• Mar 2024 Geometry Seminar: University College London.
• Feb 2024 Oberwolfach workshop: Applications of Optimal Transportation, MFO.
• Dec 2023 MathPhys Analysis seminar, ISTA, Klosterneuburg, Austria.
• 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.