04 · Teaching

Mathematics that moves between theory and computation.

Research seminar

Peking University

BICMRFall 2026

Seminar on Machine Learning Theory and Algorithms

A reading seminar on learning theory, diffusion models, and language models, with shared topics in scaling laws and neural network optimization.

First meeting: 12 October, 18:40 to 20:30 · Siyuan Hall 225.

Seminar homepage
Course archive

Northwestern University

IEMS 407Spring 2026

Uncertainty Quantification

Variational inference, diffusion, Monte Carlo, Kalman methods, Langevin and Hamiltonian dynamics, rare events, and simulation based inference.

Course materials
IEMS 304Spring 2026

Statistical Learning for Data Analysis

Regression, uncertainty, resampling, model interpretation, and the statistical workflow from assumptions to diagnosis.

Course materials
IEMS 402Winter 2025

Statistical Learning

Optimization, generalization, kernels, neural networks, generative models, and the mathematical foundations of modern learning.

Course materials
Course archive

New York University

MATH-UA 140Spring 2024

Linear Algebra

Linear systems, geometry, eigenvalues, singular values, least squares, and computational interpretations.

Course materials

Graduate topics

Mathematical Foundations of Generative AI

Probability, stochastic processes, optimal transport, diffusion, sequential inference, and inference time computation.

Scientific Machine Learning

Approximation, PDE learning, operator learning, physics informed models, uncertainty quantification, and scaling laws.