Real Analysis
Complex Analysis
Fourier Analysis
Functional Analysis
Numerical Analysis
Dynamical System
Numerical Analysis
Numerical Methods for DE
Numerical Methods for PDE
Uncertain Quantification
Lattice Boltzman Method (Audit)
Optimization
Operation Research
Nonconvex Global Optimization
Foudations of Opt for Machine Learning (Lecturer: Prof. Suvrit Sra)
Opt for Machine Learning (Lecturer: Prof. Martin Jaggi)
Combinatorial Optimization (Audit)
Convex Optimization (Textbook from Boyd)
Probablity & Statistics
Probablity Theory
Branching Random Walk
Molecular Dynamics Simulation and Deep Learning
Statistics
Economic Statistics
Foundamentals of Mathematical Statistics
Deep Learning Theory (Lectuer: Prof. Zhiyuan Li)
Statistical Foundation for Machine Learning (Audit)
Computer Science
Natural Language Processing
Data Structure & Algorithm
Computational Single-Cell Method
(And all the theoritical CS courses mentioned above)
Physics
Mechanical Mechanics
Electromagnetism
Waves and Modern Physics
Quantum Mechnics
Particle Physics I (Audit)
Others
Algebra
Topology