Activities

Reading and Research Groups in Analysis

Give a presentation on the paper "A dichotomy for Hörmander-type oscillatory integral operators" after Shaoming Guo, Hong Wang, and Ruixiang Zhang, and work on a group project inspired by the paper as mentioned above. The website can be found here.

Online (ETA) Ergodic Theory & Analysis Seminar

The talk, "On smoothing inequality related to Triangular Hilbert Transform along general curve," is based on the joint work, A short proof on the boundedness of triangular Hilbert transform along curves, with my friend Fred Yu-Hsiang Lin. Details of the online seminar can be found here.

Analysis Seminar in Georgia Institute of Technology

The talk, "On non-resonant planar Carleson-Radon operator along homogeneous curves," is based on the joint work, On a Carleson-Radon Transform (the non-resonant setting,) with my adviser, Victor Lie. The seminar webpage can be found here.

AMS-UMI International Joint Meeting 2024

The talk, "On the non-resonant Carleson–Radon transform," is based on the joint work, On a Carleson-Radon Transform (the non-resonant setting,) with my adviser, Victor Lie. Details of the Harmonic Analysis and Geometric Measure Theory Special Session A11 can be found here.

Hausdorff School 2024 "Uniformity and Stability of Oscillatory Integrals"

This is one of the special topic schools in the Hausdorff School for Mathematics(HSM). Details can be found here.

ICLR 2024 The Twelfth International Conference on Learning Representations

The joint work, Rethinking the Benefits of Steerable Features in 3D Equivariant Graph Neural Networks, with Shih-Hsin Wang, Justin Baker, Andrea Bertozzi, Jack Xin, and Bao Wang is accepted for poster session. Details of the conference can be found here.

AMS Spring Central Sectional Meeting 2024

The preliminary report, A continuous approach to some problems in harmonic analysis, is presented in the AMS Special Session on Recent Developments in Harmonic Analysis III. Details of the conference can be found here.

Graduate seminar on Advanced topics in PDE

The talk, "Triangular Hilbert Transform along Parabola: An alternate proof with basic Van der Corput lemma," is presented during the writing of the joint work, A short proof on the boundedness of triangular Hilbert transform along curves, with my friend Fred Yu-Hsiang Lin. The seminar webpage can be found here.

The Purdue graduate student analysis seminar 2023

The talk, "Bilinear Hilbert Transform and Beyond," is presented during the writing of the joint work, A sharp Hörmander condition for bilinear Fourier multipliers with Lipschitz singularities, with Jiao Chen and Fred Yu-Hsiang Lin. The seminar webpage can be found here.

Analysis of multiple ergodic averages

Present the paper Norm-variation of ergodic averages with respect to two commuting transformations by P. Durcik, V. Kovač, K. A. Škreb, C. Thiele. Details of the summer school can be found here, and the slides can be found here.

Study Guide Writing Workshop 2023

The study guide: A study guide for "Trilinear smoothing inequalities and a variant of the triangular Hilbert transform" can be found on arXiv. Details of the workshop can be found here.

Nodal domains and landscape functions

Present the following paper: The Landis conjecture on exponential decay by A. Logunov, E. Malinnikova, N. Nadirashvili and F. Nazarov. Details of the summer school can be found here, and the slides can be found here.