Liu Zhang Program in Applied and Computational Mathematics Princeton University

I am a PhD candidate in Applied Mathematics at Princeton University, where I am very fortunate to be advised by Amit Singer and co-advised by Charles Fefferman. Previously, I graduated summa cum laude from Yale-NUS College in Singapore, majoring in Mathematical, Computational, Statistical Sciences (MCS) with a focus area in Mathematics.

Broadly defined, my research is in mathematics of data, at the interface of numerical analysis, statistics, and algorithms. More specifically, my current research interests include:

• Tensor methods in statistics.
• Robust algorithms.
• Manifold learning.
• Interpolation and approximation.

Research.

• L. Zhang, A. Singer, Robust Moment-Based Estimation via Spectral Gradient Reweighting, submitted. Available at arXiv. [code]
• L. Zhang, O. Mickelin, S. Xu, A. Singer, Diagonally-Weighted Generalized Method of Moments Estimation for Gaussian Mixture Modeling, submitted. Available at arXiv.

Talks and events.

• 2026 SIAM Conference on Mathematics of Data Science (invited talk).
• 2026 SIAM Annual Meeting (invited talk):
  • [slides] on Generalized Method of Moments for Gaussian Mixture Modeling.
• 2026 Gene Golub SIAM Summer School on Fault-tolerant Algorithms in Quantum Computing:
  • [poster] on Diagonally-Weighted Generalized Method of Moments Estimation for Gaussian Mixture Modeling;
  • [poster] on Robust Moment-Based Estimation via Spectral Gradient Reweighting;
  • summer school [group report] (literature review) on Quantum Linear System Solvers.
• 2024 Gene Golub SIAM Summer School on Iterative and Randomized Methods for Large-Scale Inverse Problems:
• [slides] on Orbit Recovery from Moments.

Teaching.

At Princeton:

• Assistant in Instruction, MAT 202 Linear Algebra with Applications (Spring 2026).
• Assistant in Instruction, MAT/APC 321 Numerical Analysis and Scientific Computing (Fall 2025).
• Assistant in Instruction, MAT 202 Linear Algebra with Applications (Spring 2025).
• Assistant in Instruction, MAT 201 Multivariable Calculus (Fall 2024).
• Assistant in Instruction, MAT/APC 321 Numerical Analysis and Scientific Computing (Fall 2023).