Math Notes

This is a repository of some my (mostly hand-written) notes produced over the years when studying various Math subjects. Every user of the following notes should be aware that their author has been trying to eliminate the colony of typos that has been infesting them for the past years. The progress has been steady so far, but extremely slow.

Notes
□Calculus on Manifolds (PDF)
□Complex Analysis (PDF)
□Differential Geometry (PDF)
□Differential Topology (PDF)
□Hamiltonian Mechanics (PDF)
□Linear Algebra and Optimization (PDF)
□Log-Gases and Random Matrices (PDF)
□Nonlinear Physics (PDF)
□Numerical SDEs (PDF)
□ODEs (PDF)
□PDEs (PDF)
□Probability I (PDF)
□Probability II (PDF)
□Quantum Mechanics (PDF)
□Real Analysis I (PDF)
□Riemannian Geometry (PDF)
□Riemannian Positive Mass Theorem (PDF)

Selected Talks
□A Positive Mass Theorem (PDF)
□Contact Structures and Weinstein₃ (PDF) □Triangulations of 3-manifolds (PDF)

P.S.: If you are using these notes, it would be kind of you to let me know. It's always pleasant to hear that your work was useful to others.