I am a postdoctoral researcher of the Academy of Finland in the Department of Mathematics and Statistics of the University of Helsinki. Contact me at david@theoremsfrom.coffee (or david.bate@helsinki.fi).

Departmental web page - ORCID - arXiv - GitHub

My research interests lie in mathematical analysis. In particular I am interested in geometric measure theory in both the classical setting and in the metric space and infinite dimensional settings.

Before Helsinki, I was an L.E. Dickson Instructor at the University of Chicago working with Marianna Csörnyei, and a PhD student at the University of Warwick under the supervision of David Preiss.

Publications

  1. Purely unrectifiable metric spaces and perturbations of Lipschitz functions.
  2. On the conformal dimension of product measures (with T. Orponen).
  3. The Besicovitch-Federer projection theorem is false in every infinite dimensional Banach space (with M. Csörnyei and B. Wilson).
  4. Differentiability and Poincaré-type inequalities in metric measure spaces (with S. Li).
  5. Characterizations of rectifiable metric measure spaces (with S. Li).
  6. Structure of measures in Lipschitz differentiability spaces.
  7. Differentiability, porosity and doubling in metric measure spaces (with G. Speight).