I am postdoc in the Centre of Excellence in Analysis and Dynamics at the Department of Mathematics and Statistics of the University of Helsinki. Contact me at david.bate@helsinki.fi

Research Interests

Mathematical analysis: Geometric measure theory and metric geometry. Harmonic analysis.

Publications

  1. Differentiability, porosity and doubling in metric measure spaces (with G. Speight).

  2. Structure of measures in Lipschitz differentiability spaces.

  3. Characterizations of rectifiable metric measure spaces (with S. Li).

  4. Differentiability and Poincaré-type inequalities in metric measure spaces (with S. Li).

  5. The Besicovitch-Federer projection theorem is false in every infinite dimensional Banach space (with M. Csörnyei and B. Wilson).