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Using logic to study homeomorphism groups

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Complexity of Submanifolds and Colding-Minicozzi Entropy

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Finite quotients of 3-manifold groups

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Projection theorems and Fourier restriction theory

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Random surfaces, planar lattice models, and conformal field theory

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The critical exponent: old and new.

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Self-Similar Blow up Profiles for Fluids via Physics-Informed Neural Networks

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Some advances in the geometric Langlands program

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Growth of unimodular random graphs

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Ergodic approaches to arithmetic Ramsey theory

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