ERC Starting Grant · 2025
Discrete Analysis and Quantitative Geometry
This project lies at the crossroads of analysis, geometry and probability theory. DiAnQuGe aims to uncover quantitative properties of geometric objects using techniques from functional analysis, harmonic analysis and probability. Specifically, it is dedicated to the following directions: How well does a given metric space embed in a Banach space or a space with curvature bounds? In Section 1, I propose to investigate the (in)compatibility of the geometries of finite metrics, including expander-like objects and balls of Carnot groups, with Alexandrov spaces of bounded curvature. Based on a well-established analogy with nonlinear Banach space theory, this will require the development of…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.
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