I’m Adam and you can find various details about me in this link.
In this blog I plan to write about combinatorial geometry in general, and mainly about the algebraic techniques that are recently being used in it (the most famous example is probably the novel proof of Guth and Katz for the distinct distances problem). I will start by trying to clearly explain the basics of these methods, and then move to more advanced stuff, recent developments, etc.
Regarding other topics, I’m not yet sure what these will be yet, but I will perhaps discuss connections between incidence problems and other branches of mathematics (such as this famous connection to additive number theory), numbers of planar configurations that can be embedded on a point set, and various personal musings.
I hope that you will find something interesting to read here.