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Watch this 22-minute conference talk exploring the nonempty interior of pinned distance and tree sets, presented as part of the Fourier Analysis & Beyond workshop at Instituto de Matemática Pura e Aplicada. Discover advanced mathematical concepts at the intersection of Fourier analysis and geometric measure theory through this contributed presentation delivered during the first edition of this specialized workshop. Learn about cutting-edge research in mathematical analysis from a Brown University researcher, as part of a comprehensive program featuring mini-courses, invited talks, and contributed presentations designed to present young mathematicians to topics bridging Fourier analysis with other mathematical areas. Gain insights into contemporary developments in this field through expert presentation of recent research contributions, recorded during the July 2025 workshop in Rio de Janeiro that brought together international specialists to stimulate new directions of mathematical research.
