Pietro Wald

I am a fourth year PhD student under the supervision of Prof. David Bate.

I expect to complete my PhD by October 2026 and am currently seeking postdoctoral opportunities.

Research interests

My main research interest lies in the geometry of, and analysis on, metric spaces.

Specific topics include PI spaces, Lipschitz differentiability spaces, rectifiability and geometric measure theory, and metric currents. More recently, I've also become interested in embeddability problems, Banach space geometry, and the Ribe programme.

Education

• Master's degree in Mathematics, University of Trento, 2020-2022
  Advisor: Prof. A. Pinamonti -- 110 cum laude/110
• Bachelor's degree in Electronic Engineering and Computer Science, University of Trieste, 2017-2020
  Advisor: Prof. F. Obersnel -- 110 cum laude/110

Papers and preprints

• Bate, Wald -- Shortcut Laakso spaces, pure PI unrectifiability and differentiability of Lipschitz functions, preprint, [link]
• Bate, Caputo, Takáč, Valentine, Wald -- Structure of Metric 1-currents: approximation by normal currents and representation results, preprint, [link]
• Fässler, Pinamonti, Wald -- Kakeya Maximal inequality in the Heisenberg group, to appear in Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), [link]

Contact

Email: name dot surname at warwick.ac.uk