Hello! I'm Rui Xie, a graduate student in Institute of Applied Physics and Computational Mathematics with Prof. Qionglei Chen and Prof. Changxing Miao.
I'm interested in Fourier analysis and related problems. For example, if we know that the Fourier transform of a function is supported on some manifold or discrete points in p-adic, how can we characterize this function? There are some related theories such as decoupling and incidence geometry. I'm also interested in dealing PDE problems using Fourier analysis.
Email: xierui24 "at" gscaep.ac.cn
Address: Huayuan Road 6, 100088 Beijing, China
Education:
Master, Institute of Applied Physics and Computational Mathematics, Beijing, 2024.9-
Bachelor, Shandong University, Jinan, College of Mathematics, 2020.9-2024.6
Seminars:
(2025 Fall) Workshop on Harmonic Analysis (Orgainzer: Changxing Miao, Gang Tian, Zhifei Zhang)
(2025 Spring) Analytic Number Theory (Organizer: Shaoming Guo)
(2025 Spring) Decoupling Theory (Organizer: Shaoming Guo)
(2024 Fall-Now) Harmonic Analysis and its Application (Organizer: Changxing Miao)
(2024 Fall-Now) Harmonic Analysis and its Application (Organizer: Zhenbin Cao)
(2024 Fall) Morden Harmonic Analysis (Organizer: Changxing Miao)
(2024 Spring) Advanced Real Analysis (Organizer: Yunrui Zheng)
(2023 Fall) Further Topics on Analysis (Organizer: Liangpan Li)
(2023 Fall) Nonlinear Expectations (Organizer: Mingshang Hu)
(2023 Spring) Selected Topics of Harmonic Analysis (Organizer: Liangpan Li)
(2023 Spring) Fourier Restriction and Decoupling (Organizer: Guorui Xu)
(2022 Fall) An Introduction to Harmonic Analysis and PDE (Organizer: Yunrui Zheng)
Notes:
You can see my notes on Zhihu, or:
Arithmetric Function, handwriting.
Differential Opertaor with Constant Coefficients & Mircolocal Analysis, in Chinese, handwriting.
Calderón-Zygmund Singular Intergral Operators, in Chinese, handwriting.
Introduction to Pseudo Differential Operators, handwriting.
Schwartz Kernel Theorem, in Chinese, handwriting.
Nonlinear Expectations, in Chinese, handwriting.
Decoupling Theory and its Applications, in Chinese.
Further Topics on Analysis, about distribution and Sobolev space, in Chinese, handwriting.
Links: