Most of my projects explore the concepts “curvature“ and “resonance“ in harmonic analysis with the aim to better understand their interplay on the time-frequency phase portraits.
I also occasionally work with my friends on machine learning projects.
On the resonant Carleson-Radon transform in all dimensions. The degree one resonant case
Joint work with Victor Lie
On a Carleson-Radon Transform (the non-resonant setting)
Joint work with Victor Lie
Smoothing inequalities for corner-type bilinear averages: geometric characterization and applications
Joint work with Fred Yu-Hsiang Lin
A sharp Hörmander condition for bilinear Fourier multipliers with Lipschitz singularities
Joint work with Jiao Chen and Fred Yu-Hsiang Lin
Rethinking the Benefits of Steerable Features in 3D Equivariant Graph Neural Networks
Joint work with Shih-Hsin Wang, Justin Baker, Andrea Bertozzi, Jack Xin, and Bao Wang
A study guide for "Trilinear smoothing inequalities and a variant of the triangular Hilbert transform"
Joint work with Fred Yu-Hsiang Lin and Amelia Stokolosa