ERC: ConFine
Postdocs
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Ivan Y. Violo
I obtained my Ph.D. in 2021 from SISSA Trieste, where I was supervised by Professor Nicola Gigli. My doctoral research focused on geometric and functional inequalities in metric spaces with curvature bounded below and Reifenberg-type theorems in metric setting. After my Ph.D., I held postdoctoral positions at the University of Jyväskylä, working with Katrin Fässler and Tuomas Orponen, and at the Centro De Giorgi (SNS).
My research interests lie in geometric measure theory, functional inequalities, and elliptic PDEs, with a specific focus on metric ambient spaces. I'm particularly interested in the interplay between analytic properties and the geometric regularity of a space.
Ivan joined the project on May 2025
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Averil Aussedat
I defended my PhD in 2025 at INSA Rouen (Normandy, France) over Hamilton-Jacobi-Bellman equations in curved spaces, under the direction of Hasnaa Zidani and Nicolas Forcadel.
Besides this initial start in HJB equations, viscosity solutions in metric spaces and optimal control problems, I am interested in optimal transport and the interplay between measures and PDEs.
Averil joined the project on July 2025
PRE-PRINTS AND PEERED REVIEWED PAPERS
A. Aussedat. Local Structure of Centred Tangent Cones in the Wasserstein Space. arXiv August 20, 2025.
https://doi.org/10.48550/arXiv.2508.10837A. Arroyo-Rabasa and G. Bouchitté. Structural properties of one-dimensional metric currents: SBV-representations, connectedness and the flat chain conjecture. arXiv August 11, 2025.
https://doi.org/10.48550/arXiv.2508.08212F. Nobili and I. Y. Violo. Generalized existence of extremizers for the sharp p-Sobolev inequality on Riemannian manifolds with nonnegative curvature. arXiv July 7, 2025.
https://doi.org/10.48550/arXiv.2506.20592