Mathematical Foundations:
Real Analysis, Functional Analysis
High-dimensional Probability
The Interplay between Convex Optimization and Geometry
Continuous Algorithms: Optimization and Sampling
Machine Learning:
Foundations of Deep Learning (U. Maryland) (Videos)
Foundations of Reinforcement Learning (Princeton) (Videos)
Natural Language Processing (CMU) (Videos)
Computational Systems Biology: Deep Learning in the Life Sciences (MIT) (Videos)
Quantum Computing:
Introduction to Quantum Computing (Columbia)
Quantum Computing (CalTech) (Videos)
Quantum Computing Architectures (Videos)
Useful Links
Machine Learning for Scientists
Quantum Computer Systems Design
QuTech Quantum Courses
Molecular Biology (MIT OpenCourseWare)