These are notes I prepared while teaching courses and giving talks. I welcome any comments or suggestions.
Talk Notes
Projective module over Dedekind Domain. PDF
Brauer Group of Fields. PDF
Comparison between Hochschild Homology HH(R) and Topological Hochschild Homology THH(R). PDF
Topological Hochschild Homology and Negative Cyclic Homology for perfect Fp-algebra. PDF
fpqc descent for HH, HP, THH, and TP. PDF
Hochschild Homology and its Topological Counterpart. PDF
The Prismatic-Etale Comparison Theorem. PDF
Differential Equations PDF (This note includes topics like First order ODEs ( Linear, Separable), Autonomous, Numerical approximation, Slope Fields, Second order ODE, Higher order (Constant coefficient), System of Linear ODEs, Introduction to PDEs etc).
2. Vector Calculus PDF (This note includes topices like Vector fields, Gradient, Divergence, Curl, Green's Theorem, Stokes Theorem, Divergence Theorem, Fourier Series etc).