Notes and
Thoughts
Notes and
literature review
The Kirby torus trick for surfaces
Literature review
The Penrose's singularity theorem
Lecture notes
PKU summer school on differential geometry
Complex geometry
Riemannian geometry
Second order elliptic PDEs
Lecture Notes
Cambridge Notes
1. rieman surfaces
2. prob and measure
3. linear analysis
4. analysis of functions
5. differential geometry
6. algebraic topology
personal understandings
Random Thoughts
1 intuitive stokes
2 new way of showing the fundamental group of a topological group is abelian
3 visual hopf vibration
4 intuitive understanding of the solutions to the heat equation in R^n with nontrivlal initial value and forcing
5. on variational principles
6. visualisation of Hahn Banach
7. visualisation of L^p spaces and its application to an example sheet question
8.