Structure and Randomness

Terence Chi-Shen Tao is an Australian mathematician working primarily on harmonic analysis, partial differential equations, combinatorics, analytic number theory and representation theory. His most famous result is a proof, in collaboration with British mathematician Ben J. Green, that there exist arbitrarily long arithmetic progressions of prime numbers (the Green–Tao theorem)...

Terence Chi-Shen Tao is an Australian mathematician working primarily on harmonic analysis, partial differential equations, combinatorics, analytic number theory and representation theory. His most famous result is a proof, in collaboration with British mathematician Ben J. Green, that there exist arbitrarily long arithmetic progressions of prime numbers (the Green–Tao theorem). Tao is currently a professor of mathematics at the University of California, Los Angeles.

This is a book version of my blog, covering many (though not all) of my articles in 2007, reworked into a publishable format (and in particular, with formal and updated references).--Terence Tao