ERC Starting Grant · 2025
Quantitative projection problems in geometric measure theory
This project is in the field of geometric measure theory (GMT), an area of analysis seeking to solve geometric problems using the tools of measure theory. A classical line of research in GMT concerns estimating the size of orthogonal projections of planar sets, and the most important results in this topic are the projection theorems of Besicovitch and Marstrand. In the last few decades, it became increasingly clear that obtaining stronger, more quantitative projection results is connected to open questions at the intersection of GMT, complex analysis, harmonic analysis, and additive combinatorics. The main goal of this project is proving quantitative projection results, with special focus…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.