Mathematical Foundations:
Real Analysis, Functional Analysis
High-dimensional Probability
The Interplay between Convex Optimization and Geometry
Continuous Algorithms: Optimization and Sampling
Matrix Calculus for Machine Learning and Beyond
Machine Learning:
Foundations of Deep Learning (U. Maryland) (Videos)
Foundations of Reinforcement Learning (Princeton) (Videos)
TinyML and Efficient Deep Learning Computing (MIT) (Videos)
Advanced NLP (CMU) (Videos)
Quantum Computing:
Introduction to Quantum Computing (Columbia)
Frontiers of Quantum Complexity and Cryptography (Columbia)
Quantum Computing (CalTech) (Videos)
Useful Links
Francis Bach's Machine Learning Research Blog
Greg Yang's website on Neural Tangent Kernel
QuTech Quantum Courses
QuantumGrad