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GEOMETRIC ANALYSIS
AND POTENTIAL THEORY

European Research Council Project Group

· Research ·

ERC Advanced Grant

Grant agreement 101018680. This project aims to solve several long standing questions in geometric analysis by combining techniques from harmonic analysis, geometric measure theory, and free boundary problems.

Objectives

We are interested in the following areas: Metric and geometric properties of harmonic measure, like Hausdorff dimension. Caloric measure and parabolic singular integrals. The connection between square functions, like Carleson’s square function, and rectifiability. Unique continuation at the boundary and free boundary problems. “

· Board team ·

Xavier Tolsa

Research Professor

Bruno Poggi

Ordinary Researcher

Olli Tapiola

Ordinary Researcher

Michele Villa

Ordinary Researcher

Josep Gallegos

Pre-doctoral researcher

Martí Prats

Professor

Ignasi Guillén

Pau Ibars

IT Staff

· Drop us a line ·

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