Office: 816 Van Vleck Hall
I am currently a third year Ph.D student in Department of Mathematics at University of Wisconsin-Madison. I am working with Shaoming Guo. My research interests lie in harmonic analysis. Especially, I am interested in restriction estimates, decoupling inequalities, and their applications.
Decoupling inequalities for quadratic forms (with S. Guo, R. Zhang, P. Zorin-Kranich). Preprint.
A restriction estimate for surfaces with negative Gaussian curvatures (with S. Guo). Preprint.
Decoupling for two quadratic forms in three variables: a complete characterization (with S. Guo, J. Roos, P.-L. Yung, P. Zorin-Kranich). Preprint.
Small cap decoupling inequalities: Bilinear methods. To appear in Rev. Mat. Iberoam.
Remarks on Wolff's inequality for hypersurfaces (with S. Guo). Math. Proc. Camb. Phil. Soc. 168 (2020) 249-259.
Decouplings for three-dimensional surfaces in R^6. Math. Z. 290 (2018) 389-419.
Fall 2020: Math 114 - Algebra and Trigonometry
Spring 2020: Math 114 - Algebra and Trigonometry
Fall 2019: Math 234 - Calculus - Functions of Several Variables Math 721 - A First Course in Real Analysis
Spring 2019: Math 221 - Calculus and Analytic Geometry I
Fall 2018: Math 421 - The Theory of Single Variable Calculus