A Personal Roadmap
This page provides a personal mathematical roadmap: a very incomplete and subjective collection of papers in areas that I have made some effort to understand over the past decade, with a link to an online version of the paper and its mathscinet review whenever these are available. The purpose is to give the reader a better idea of where my mathematical interests lie, and to provide a guide to reading material for those new to the subject.
Such a project comes with all the obvious disclaimers: The classification into subject areas is very rough, and the order of authors within them completely arbitrary. I have by no means attempted to select the most "important" papers of any one author, but often the ones I have most benefited from reading. This includes numerous survey articles. In the case of joint papers, no judgement is intended by linking only to one author's website.
Terry Tao | Tim Gowers | Jordan Ellenberg | Izabella Laba | Emmanuel Kowalski | Luca Trevisan | Gil Kalai | Claire Mathieu | Windows on Theory
General mathematical culture
Survey articles in arithmetic combinatorics
Linear Fourier analysis
Structure in sum sets
Higher-order Fourier analysis
Analytic number theory
Patterns in the primes
Incidence geometry and sum-product
Combinatorial geometry and geometric combinatorics
Random and pseudorandom graphs
Other topics in theoretical computer science
It is increasingly common that talks at conferences and workshops are videod and archived for posterity. Again, the selection is highly subjective (the linked workshops are mostly events I attended or organised).
Igor Pak also maintains a page with links to interesting videos in combinatorics.
Other useful resources
mathscinet search | arxiv search | jstor search | AMS calendar | Cambridge LaTeX | NASA LaTeX | Terry Tao's career advice for young mathematicians
Since this page contains a large number of references, it will take some effort to maintain, so I'll be very grateful for any help you can give by notifying me of broken links.