## Notes I have written

Representation Theory and Quantum Mechanics - Lie Groups, Lie Algebras, SU(2) and SO(3), Quantization, the Moment Map and Symmetries

Feynman's Theory of Superfluid Helium-4 - Multiparticle Wavefunction, Phonon Dispersion Curve, Vortex Lines (presented for Columbia physics seminar)

Crash Course in Statistical Mechanics - Entropy, Temperature, the Partition Function, Phase Transitions, Density Matrices and Entanglement Entropy

Black Holes for Computer Science People - Relativity, Quantum Field Theory, Statistical Mechanics, Hawking Radiation and the Firewall Paradox (written for CS229)

Visualizing the Inverse Noether's Theorem and Symplectic Geometry - Hamiltonian Mechanics, Vector Fields, Lie Bracket, Commutativity, Inverse Noether's Theorem, the Jacobi Identity, and fun pictures!

A Stroll Through Projective Geometry - RP1 and SL(2,R), The Cross Ratio, Steiner's Theorem, RP2, Projective Duality, Dual Curves, and many helpful pictures!