Leonardo Franchi

I am a second-year PhD student at the University of Cambridge, under the supervision of Timothy Gowers.

I am interested in analysis in a broad sense: PDEs, harmonic analysis, additive combinatorics, and related fields.

Research

Osgood meets Ambrosio-DiPerna-Lions

with Guido De Philippis, Submitted. (arXiv)
Fractal uncertainty principle over ℚ_p

with Valentino Badalucco, Submitted. (arXiv)
Product-free subsets of (0,1)

with W. T. Gowers and Fredy Yip, Submitted. (arXiv)
A unified abstract regularity lemma

with Gaia Carenini, Submitted. (arXiv)
A strengthening of Chang's lemma

with Gaia Carenini, Submitted. (arXiv)