Mathematical analysis: Geometric measure theory and metric geometry. Harmonic analysis.
Differentiability, porosity and doubling in metric measure spaces (with G. Speight).
Structure of measures in Lipschitz differentiability spaces.
Characterizations of rectifiable metric measure spaces (with S. Li).
- Annales Sc. de l’E.N.S., to appear
- arXiv 1409.4242
Differentiability and Poincaré-type inequalities in metric measure spaces (with S. Li).
- arXiv 1505.05793
The Besicovitch-Federer projection theorem is false in every infinite dimensional Banach space (with M. Csörnyei and B. Wilson).
- Israel J. Math., to appear
- arXiv 1506.08431