A tentative one:
Spectral methods
Classic L2 matrix perturbation theory
Matrix concentration inequalities
Applications of spectral methods (L2 theory)
Linf matrix perturbation theory
Applications of spectral methods (Linf theory)
Nonconvex optimization
Basic optimization theory
Generic local analysis for regularized gradient descent (GD)
Refined local analysis for vanilla GD
Global landscape analysis
Gradient descent with random initialization