Sir William Timothy Gowers

For his contributions to functional analysis and combinatorics, developing a new vision of infinite-dimensional geometry, including the solution of two of Stefan Banach’s problems and the discovery of the so called Gowers’ dichotomy: every infinite dimensional Banach space contains either a subspace with many symmetries (technically, with an unconditional basis) or a subspace, on which every operator is a Fredholm operator of index zero.