TITLE: Combinatorics and analysis
QUESTION [8 upvotes]: A lot of "big" names in analysis (and other fields) seem to be doing some form of combinatorics (without any order, some examples are Tim Gowers, Terence Tao and Jean Bourgain).
So, looking a bit around makes me conclude that combinatorics is a huge field. There must be one "kind" which is the most fruitful in analysis. What kind is this? What is a good introduction to this?
Edit: I forgot, analysis is also a big field. I mean more in the direction of harmonic analysis and PDE.
Thanks.

REPLY [2 votes]: With regard to combinatorics & harmonic analysis, you might find this interesting. This work by Terence Tao (whom you mentioned) sheds light on all three of combinatorics, analysis, and PDEs. Hope this helps!