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 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.

Report

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

Given Talks