Math 523 (Instructor: Siqi Fu)

• Syllabus
• Lecture Notes. These are the pdf files of the lecture notes. More will be added as the course progresses. These notes will be revised periodically throughout the semester. Please let me know if you find any mistakes.
  • Chapter 1: Prelude
  • Chapter 2: Abstract spectral theory
  • Chapter 3: Distribution of eigenvalues
  • Chapter 4: Schrodinger operators
  • Chapter 5: The d-bar-Neumann Laplacian
  • Chapter 6: Morse inequalities
  • Bibliography