Before joining City University of New York, I was a Courant Instructor at New York University. Before that, I received my PhD in mathematics from the University of Maryland, College Park.

Fall 2025

Math 432: Theory of Functions of a Complex Variable

Math A3200: Theory of Functions of Complex Variable I 

My research area is applied and computational harmonic analysis. Broadly speaking, I analyze and develop numerical methods that decompose and reconstruct data. More specifically, my current research interests lie in the computational theory of super-resolution and rigorous methods for compression and quantization. My work is supported by the National Science Foundation, PSC-CUNY, and the Foundation for City College.

• Concerning the stability of exponential systems and Fourier matrices
  Oleg Asipchuk, Laura De Carli, and Weilin Li
  Journal of Fourier Analysis and Applications, 2025

• Subspace and DOA estimation under coarse quantization
  Sjoerd Dirksen, Weilin Li, and Johannes Maly
  IEEE Transactions on Information Theory, 2025

• Nonharmonic multivariate Fourier transforms and matrices: condition numbers and hyperplane geometry
  Weilin Li
  Applied and Computational Harmonic Analysis, 2025

• Multiscale estimates for the condition number of non-harmonic Fourier matrices
  Weilin Li
  Mathematics of Computation, 2025

• Approximation with one-bit polynomials in Bernstein form
  C. Sinan Güntürk and Weilin Li
  Constructive Approximation (special issue for Ron DeVore's 80th birthday), 2023

• A range characterization of the single-quadrant ADRT
  Weilin Li, Kui Ren, and Donsub Rim
  Mathematics of Computation, 2023

• Stability and super-resolution of MUSIC and ESPRIT for multi-snapshot spectral estimation
  Weilin Li, Zengying Zhu, Weiguo Gao, and Wenjing Liao
  IEEE Transactions on Signal Processing, 2022

• Quantization for spectral super-resolution
  C. Sinan Güntürk and Weilin Li
  Constructive Approximation, 2022

• Generalization error of minimum weighted norm and kernel interpolation
  Weilin Li
  SIAM Journal on Mathematics of Data Science, 2021

• Super-resolution limit of the ESPRIT algorithm
  Weilin Li, Wenjing Liao, and Albert Fannjiang
  IEEE Transactions on Information Theory, 2020

• 3-D Fourier scattering transform and classification of hyperspectral images
  Ilya Kavalerov, Weilin Li, Wojciech Czaja, and Rama Chellappa
  IEEE Transactions on Geoscience and Remote Sensing, 2021

• Experiments in unmanned aerial vehicle/unmanned ground vehicle radiation search
  John Peterson, Weilin Li, Brian Cesar-Tondreau, John Bird, Kevin Kochersberger, Wojciech Czaja, and Morgan McLean
  Journal of Field Robotics, 2019

• Stable super-resolution limit and smallest singular value of restricted Fourier matrices
  Weilin Li and Wenjing Liao
  Applied and Computational Harmonic Analysis, 2021
  [This paper won the 2021 Charles Chui Young Researcher Best Paper award]

• Rotationally invariant time-frequency scattering transforms
  Wojciech Czaja and Weilin Li
  Journal of Fourier Analysis and Applications, 2020

• Analysis of time-frequency scattering transforms
  Wojciech Czaja and Weilin Li
  Applied and Computational Harmonic Analysis, 2019

• Super-resolution by means of Beurling minimal extrapolation
  John J. Benedetto and Weilin Li
  Applied and Computational Harmonic Analysis, 2020

• Boundary value problems on a half Sierpinski gasket
  Weilin Li and Robert S. Strichartz
  Journal of Fractal Geometry, 2014