TIMOTHY GOWERS De Morgan Medal 2016 (colour online)
The De Morgan Medal is awarded to PROFESSOR SIR TIMOTHY GOWERS FRS of the University of Cambridge for his seminal contributions to functional analysis, additive number theory and combinatorics.
Gowers did his PhD under Béla Bollobás and, soon afterwards, attracted international attention for his stunning results in Banach space theory, answering several famous questions of Banach dating to the 1930s. Among many results, he proved that Hilbert space is the only infinite-dimensional Banach space which is isomorphic to all of its infinite-dimensional subspaces.
A few years later, Gowers proved a famous result in a completely different area: combinatorial number theory. Introducing a technique now known as ‘higher-order Fourier analysis’, he provided the first reasonable bounds for Szemerédi's theorem on arithmetic progressions. For this work, and his work on Banach spaces, he was awarded the Fields medal in...