Algebraic Geometry
Algebraic Geometry Lecture Notes by
Andreas Gathmann und Eric Westenberger
:
Beautiful Graphics! The best online Algebraic Geometry book I have seen until
now.
Kähler Geometry Lecture Notes by Andrei Moroianu
: Chapters on Calabi-Yau
Manifolds and HyperKähler Manifolds
Algebraic Surfaces by Jungkai Alfred Chen
Lectures on Kähler Manifolds by Eberhard Freitag
: Hodge Theory, Sheaf
Cohomology, Kodaira Vanishing Theorem
University of Michigan Lecture Notes on Algebraic Geometry AG1 AG2 MIAG
Construction of the Hilbert Scheme by Aaron Bertram
Other Lecture Notes by Aaron Bertram : Basic Introduction to Algebraic Geometry, Gromov-Witten Invarients.
Complex Algebraic Surfaces Lecture notes by Ravi Vakil
Other lecture notes on Ravi Vakil's hompage.
More Extensive List Maintained by Franz Lemmermeyer
Mathematical Physics
University of Michigan Lecture Notes on Mathematical Physics P1 P2 P3 P4
http://www.jp-petit.com/science/darkside/a12039.htm This is not a lecture note, but it's still fun to read. About Lie Groups in Physics.
Other Interests
Jacobi Operators and Completely Integrable Nonlinear Lattices Also links on Toda Equation. (Gerald Teschl )