## A Personal RoadmapThis 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. ## Mathematical blogsTerry Tao | Tim Gowers | Jordan Ellenberg | Izabella Laba | Emmanuel Kowalski | Luca Trevisan | Gil Kalai | Claire Mathieu | Windows on Theory | mathbabe
## Virtual seminarsWebinar in Additive Combinatorics | Oxford Discrete Mathematics and Probability Seminar | Virtual Combinatorics Colloquium | Women in Combinatorics Colloquium | Combinatorics Lectures Online | Number Theory Web seminar | Virtual Harmonic Analysis seminar | TCS+
## General mathematical culture
## Survey articles in arithmetic combinatorics
## Linear Fourier analysis
## Structure in sum sets
## Higher-order Fourier analysis
## Model theory
## Ergodic theory
## Analytic number theory
## Patterns in the primes
## Incidence geometry and sum-product
## Combinatorial geometry and geometric combinatorics
## Algebraic methods
## Random and pseudorandom graphs
## Property testing
## Other topics in theoretical computer science
## Video lecturesIt 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 resourcesmathscinet 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. |
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This page was last updated 23rd October 2020. | © 2003-2021 Julia Wolf |