- my publications on the arXiv
- my public calendar

Please fill in my informal survey; it's just a chance for you to give anonymous feedback about my teaching. I'm happy to try to make changes! There'll be an official ANU survey later.
## Lecture notes

## Problem sets

## Assignments

## References

You may find this list of reference books useful.
## Essay topics

- 1. Towards functional calculus
- (lecture notes) (printable)
- 2. Hilbert spaces
- (lecture notes) (printable)
- 3. Compact operators
- (lecture notes) (printable)
- 4. A review of calculus
- (lecture notes) (printable)
- 5. Fourier transform
- (lecture notes) (printable)
- 6. Fundamental solutions
- (lecture notes) (printable)
- 7. The Dirichlet problem
- (lecture notes) (printable)
- 8. Measure theory
- (lecture notes) (printable)
- 9. Integration theory
- (lecture notes) (printable)
- 10. Function spaces
- (lecture notes) (printable)
- 11. Radon-Nikodym derivatives
- (lecture notes) (printable)
- 12. The Stone-Weierstrass theorem
- (lecture notes) (printable)
- 13. Spectral theory
- (lecture notes) (printable)
- 14. Banach spaces
- (lecture notes) (printable)

- Assignment 1, due 5pm Friday August 12. (
- Assignment 2, due 5pm Monday September 12. (
- Assignment 3, due 5pm Friday September 30. (
- Assignment 4, due noon Friday October 28.

- Suggested essay topics and instructions. Four example essays from previous years are available on Wattle.

A draft of your essay is due October 7 and the final essay is due October 21. You're also welcome to come talk to me about your essay at any time, and ask for feedback on preliminary drafts. The essay is a substantial part of your assessment, and starting to think about it early will really pay off --- it should take some time to digest the material you're going to present, and work out the best way to explain it.