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 few years, 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 rather 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 blogs

Terry Tao | Tim Gowers | Jordan Ellenberg | Izabella Laba | Luca Trevisan | Emmanuel Kowalski | Gil Kalai
Claire Mathieu

Arithmetic combinatorics

Tim Gowers
 

Ben Green
 

Terry Tao
 

Imre Ruzsa
 

Tom Sanders
 

Ergodic theory

Sasha Leibman
 

Bryna Kra
 

Nikos Frantzikinakis
 

Tamar Ziegler
 

Combinatorics

Noga Alon
 

Benny Sudakov
 

Jozsef Solymosi
 

Janos Pach
 

Classical harmonic analysis

Jean Bourgain
 

Izabella Laba
 

Number theory

Alex Gamburd
 

Akshay Venkatesh
 

Elon Lindenstrauss
 

Peter Sarnak
 

Harald Helfgott
 

Trevor Wooley
 

Kannan Soundararajan
 

Theoretical computer science

Assaf Naor
 

Avi Wigderson
 

Alex Samorodnitsky
 

Luca Trevisan
 

Up-and-coming

Neil Lyall
 

Thai Hoang Le
 

Pablo Candela
 

Olof Sisask
 

Hoi Nguyen
 

Derrick Hart
 

Boris Bukh
 

Other websites

mathscinet search | arxiv search | jstor search | AMS calendar | Cambridge LaTeX | NASA LaTeX | Jahr der Mathematik

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.

This page was last updated 12th October 2012.