Ciao!!

I am a PhD candidate in Mathematics at the University of California, Santa Barbara, where I work in Geometric Analysis under the guidance of Prof. Guofang Wei.

I am on the job market for positions starting Fall 2025.

Research Interests: My research focuses on Geometric Analysis and Partial Differential Equations (PDEs), particularly leveraging techniques from Optimal Transport and Comparison Geometry to prove geometric inequalities. I’ve been working in the non compact setting with non-negative k-intermediate Ricci curvature, an interpolation between Ricci and sectional curvature, I considered also the weaker asymptotic version of it. I’ve also been studying integral curvature which measures deviations of Ricci curvature from the lower bound in the $L_p$ sense.

I received the 2024 UC Santa Barbara Academic Senate outstanding teaching award, the 2024 Department of Mathematics Direct Reading Program Mentor’s Choice Award (Poster).

I’m as excited to share math as I am to study it, so I organize a Very Applied Fluid Dynamics seminar which involves the careful study of solution composed by approximately 95% water.

I have also embarked on a journey to make the perfect pizza, although this is a lifetime journey. I am happy to share my progress.

Feel free to reach out to me at fabio@math.ucsb.edu. You can find my CV here.

Publications

[1] The Log-Sobolev inequality for a submanifold in manifolds with asymptotic non-negative intermediate Ricci curvature, joint with J. Lee. J Geom Anal 34, 141, 2024.

[2] Isoperimetric profile function comparisons with Integral Ricci curvature bounds, joint with J. Lee. To appear in Proceedings of AMS 2024.