I just made a revision of my book about incidences and polynomial methods. Joshua Zahl and I have been running a polynomial methods summer school for graduate students, at MSRI. This led to several topics being added to the book, such as a proof of the cap set theorem and a sum-product bound over finite fields. I also added many exercises, with a focus on clever elegant problems whose solution is not too technical. Many of those exercise have been carefully checked by the participants of the summer school 🙂
If you’d like to see more from the summer school, you can now watch close to 25 hours of Joshua Zahl and myself talking about polynomial methods. Starting here. We were lucky to have Marina Iliopoulou and Cosmin Pohoata helping us run this program. And also lucky to have a group of impressive graduate students participating and solving all of our weird exercise!
Our REU program for this summer is getting close to its end. I am amazed by the amount of strong results this summer’s participants produced. Once some of these results will become available online, this would be a good topic for a separate post.
I plan to soon write about several interesting events that we will be holding this academic year, upcoming hiring, and other news. I just need some time!