Topics in additive combinatorics and incidence geometry, fall 2015
The following lecture notes will be updated, amended – and certainly corrected – several times during the course:
OrponenLectureNotes.pdf (Last update: 5/11/2015, added Laura's notes on multilinear Kakeya)
For additional reading, the most comprehensive text is
T. Tao and V. Vu: Additive Combinatorics, Cambridge University Press (2006)
For something freely available, you could try Ruzsa's lecture notes "Sumsets and structure", which you can easily find by googling.
No registration needed, just come to the first lecture.
There will most likely be no official exercises. Instead, the students will be given individual topics – perhaps an article, or a book section – which they should study, write notes about, and present during the "exercise sessions", whose timetable will be discussed on the first lecture. This presentation will also be the means to get credit for the course (so if you don't need credit, you won't be required to prepare a presentation).
Course feedback can be given at any point during the course. Click here.