Postdoctoral Research and Teaching Associate
Department of Mathematics
University of Georgia
Athens, GA 30602

Email xxxx@uga.edu (working) and xxxx@connect.hku.hk (permanent), where xxxx = hnwu
Office 627A Boyd Research and Education Center
Office hours Mon/Thu 4pm - 5pm in Fall 2025


Photo by Yanning Chen (HKU Main Building, Dec 2023)
(More Photos)

About

I have been a postdoctoral associate at the Department of Mathematics, University of Georgia since August 2024, working with Prof. Weiwei Hu. Prior to this position, I was a postdoctoral fellow at the Department of Mathematics, University of Hong Kong, mentored by Prof. Dong Li. I obtained my PhD degree from the University of Hong Kong in 2023, under the supervision of Prof. Xiaoming Yuan, and completed my BSc degree at Jinan University, Guangzhou, China in June 2019, both in mathematics.

My primary research focus is on constructive approximation approaches for problems of continuous mathematics involving functions, equations, and controls. Broadly in analysis and applied mathematics, my research areas lie in the following closely related fields:

❏ Approximation theory, applied harmonic analysis, and their applications to mathematical data science.
❏ Partial differential equations (PDEs), integral equations, and their numerical analysis.
❏ Control and optimization of systems governed by PDEs and integral equations.

My curriculum vitae.

News

• [Oct. 27, 2025] New preprint: Cellular flow control design for mixing based on the least action principle, with W. Hu and M.-J. Lai.
• [Oct. 21, 2025] Our paper "Spherical configurations and quadrature methods for integral equations of the second kind," a joint work with Prof. C. An, has been accepted for publication in SIAM Journal on Numerical Analysis. MATLAB codes for reproducing all figures are available here.
• [Oct. 6, 2025] New preprint: The path of hyperinterpolation: A survey, with C. An and J. Ran.
• [Nov. 25, 2024] New preprint: Marcinkiewicz--Zygmund inequalities for scattered data on polygons.


• Archived

Travel Plans

• BOSTON, MA, United States (Mar 28 - 29, 2026) — AMS 2026 Spring Eastern Sectional Meeting, Boston College


• Past Travels

Research Repository

See my publications and codes in the databases above or the full list below (click to open):

Complete list of publications


Not yet appeared
Cellular flow control design for mixing based on the least action principle, with W. Hu and M.-J. Lai.
Submitted. arXiv:2510.22703.

The path of hyperinterpolation: A survey, with C. An and J. Ran.
Submitted. arXiv:2510.04904.

Optimal time scheduling for a simple reparable system, with D. O. Adu, A. J. Brower, and W. Hu.
Conference submission.

Marcinkiewicz--Zygmund inequalities for scattered data on polygons.
Submitted. arXiv:2411.16584.

Spherical configurations and quadrature methods for integral equations of the second kind, with C. An.
SIAM J. Numer. Anal., to appear. arXiv: 2408.14392.

Breaking quadrature exactness: A spectral method for the Allen--Cahn equation on spheres, with X. Yuan.
Submitted. arXiv: 2305.04820.



2024
Is hyperinterpolation efficient in the approximation of singular and oscillatory functions?, with C. An.
J. Approx. Theory, 299 (2024), 106013.

Bypassing the quadrature exactness assumption of hyperinterpolation on the sphere, with C. An.
J. Complexity, 80 (2024), 101789.


2023
Restricted isometry and information-based numerical analysis.
PhD Thesis (2023). The University of Hong Kong. HKU Theses Online.

Enhanced total variation minimization for stable image reconstruction, with C. An and X. Yuan.
Inverse Probl., 39 (2023), 075005.



2022
On the quadrature exactness in hyperinterpolation, with C. An.
BIT Numer. Math., 62 (2022), 1899-1919.

The springback penalty for robust signal recovery, with C. An and X. Yuan.
Appl. Comput. Harmon. Anal., 61 (2022), 319-346.



2021
Lasso hyperinterpolation over general regions, with C. An.
SIAM J. Sci. Comput., 43 (2021), A3967–A3991.

Tikhonov regularization for polynomial approximation problems in Gauss quadrature points, with C. An.
Inverse Probl., 37 (2021), 015008.

Collection of slides


Bypassing the quadrature exactness assumption of hyperinterpolation, Constructive Functions 2025, Vanderbilt University, May 21, 2025.
Spherical configurations and quadrature methods for integral equations of the second kind, 2025 Southeast Applied and Computational Math Student Workshop, Auburn University, Apr 5, 2025.
Hyperinterpolation, Marcinkiewicz-Zygmund property, and their use for *integral equations*, Applied Math Seminar, University of Georgia, Oct 15, 2024.
Hyperinterpolation, Marcinkiewicz-Zygmund property, and their use for *spectral methods*, International Conference on Analysis and Applications (ICAA 2024) in honor of Roderick S. C. Wong’s 80th birthday, City University of Hong Kong, Jun 4, 2024.
Restricted isometry and information-based numerical analysis (thesis defense), Department of Mathematics, The University of Hong Kong, Jun 26, 2023.

Here is a word cloud generated from the text data of my research articles using the Text Analytics Toolbox in MATLAB (Sept 2024)

More about Me

Every Chinese name carries a specific and unique meaning, and mine is no exception. Hao (浩) signifies "vast and torrential water," while Ning (宁) represents "to pacify and stabilize." Thus, my name, Hao-Ning, depicts a scene where mighty water finally finds serenity.

I am originally from Wanxian, Sichuan (now Wanzhou district, Chongqing), a city nestled on the banks of the Yangtze River in southwestern China. It lies on the eastern rim of the Sichuan Basin, where the Upper Yangtze River turns from a northeastern to an eastward course. Just beyond this bend, the river begins her legendary passage through the majestic mountains, carving out the famously known Three Gorges.

I love exploring the world and am also an avid museum enthusiast, particularly drawn to museums dedicated to natural and human history. Yet, I find little appeal in the realm of postmodern art.

GUANGZHOU, China (June 4, 2019) — I appreciate the mathematical convention of authorship order that Hardy and Littlewood made famous: the authors are alphabetically ordered and everyone gets an equal share of credit. If I have the privilege of working with you, I would be honored to adhere to this tradition.

My Erdős number is 3:
❏ Paul Erdős - Charles K. Chui - Ming-Jun Lai - W.

Last Modified: Oct 27, 2025 - Athens, GA