Fred Yu-Hsiang Lin

RG Analysis and Partial Differential Equations

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Starting from October 2021 I am a graduate student in the Analysis and Partial Differential Equations group of the Hausdorff Center of Mathematics, Mathematical Institute, University of Bonn, Germany. My PhD advisor is Prof. Dr. Christoph Thiele. Here is my CV.

Research

I am working in harmonic analysis, especially in multilinear singular intergals and multilinear Fourier multipliers. Recently, I am also intersted in the connection between these multilinear estimates and geometric measure theory.

Papers and Preprints:

• On trilinear singular Brascamp-Lieb integrals (with Lars Becker, Polona Durcik), preprint, 2024.
• A short proof on the boundedness of triangular Hilbert transform along curves (with Martin Hsu), preprint, 2024.
• A sharp Hörmander condition for bilinear Fourier multipliers with Lipschitz singularities (with Jiao Chen, Martin Hsu), preprint, 2024.
• On the family of singular Brascamp-Lieb inequalities with dimension datum (1,2,2,1), (Accepted by Mathematika) (2024)
• Muckenhoupt-type weights and the intrinsic structure in Bessel Setting , (with Ji Li, Chong-Wei Liang, Chun-Yen Shen), Journal Geometric Analysis 34, 192 (2024)

Notes:

• A study guide for "Trilinear smoothing inequalities and a variant of the triangular Hilbert transform" (with Martin Hsu, Amelia Stokolosa) 2023.