CV

Download my full CV (PDF)

Research Interests

Applied and computational harmonic analysis; wavelets and framelets; optimization and approximation theory; spherical designs; scientific computing; image and signal processing; machine learning.

Employment

• Postdoctoral Researcher, City University of Hong Kong, Hong Kong SAR, Oct. 2026 - Apr. 2027
• Postdoctoral Researcher, Technische Universität Chemnitz, Germany, Sep. 2024 - Sep. 2026
• Research Assistant, City University of Hong Kong, Hong Kong SAR, Oct. 2019 - Aug. 2020

Education

• PhD in Applied Mathematics, City University of Hong Kong, Sep. 2020 - Oct. 2024
• MPhil in Computational Mathematics, Jinan University, Sep. 2016 - Jun. 2019
• BSc in Mathematics and Applied Mathematics, Jinan University, Sep. 2012 - Jun. 2016

Selected Honours

• Outstanding Research Thesis Award (equivalent to Summa cum laude), City University of Hong Kong, 2025
• CSCI Excellent Paper Award, City University of Hong Kong, 2024
• Best Graduation Thesis, Jinan University, 2016

Selected Publications

Selected journal publications and preprints include:

1. Xiao, Y., and Zhuang, X. “Spherical designs for function approximation and beyond.” Sampling Theory, Signal Processing, and Data Analysis, 23(2):9, 2025.
2. Xiao, Y., and Zhuang, X. “Spherical Framelets from Spherical Designs.” SIAM Journal on Imaging Sciences, 16(4):2072-2104, 2023.
3. Xiao, Y., and Zhuang, X. “Adaptive directional Haar tight framelets on bounded domains for digraph signal representations.” Journal of Fourier Analysis and Applications, 27:1-26, 2021.

See my publications page for the full list and current preprints.

Embodied Intelligence

I co-founded Shenzhen VistaWind Technology Co., Ltd., the embodied-intelligence robotics start-up behind Lerrem. Read about my work on its adaptive robotic massage system.

Teaching

My teaching experience at Technische Universität Chemnitz, City University of Hong Kong, and Jinan University includes learning theory, inverse problems, mathematical imaging, calculus, linear algebra, probability, and statistics. See my teaching page for courses and details.

Academic Service

Referee for Foundations of Computational Mathematics (2026), Mathematical Reviews (AMS, 2024), and IJCAI (2024). Member of SIAM since July 2023.