Portal & Ware
The prerequisite for this course is to have completed courses in algebraic topology or algebraic geometry.
Geometric PDE with rough data
Prerequisites: Analysis 3 + Theory of PDE + Differential Geometry or a demonstrated ability to read this.
(e.g., confidence in using the material of Stein-Shakarchi's Functional Analysis Chapter 3, and basic knowledge of Riemannian geometry)
Prerequisites: algebraic topology
Vector Bundles and K-Theory