Harmonic Analysis

The 28th Annual Park City Mathematics Institute Summer Session took place from July 1-21, 2018, and featured harmonic analysis as its central topic. During the three-week session, lecturers including IAS Professor Camillo De Lellis and von Neumann...

On the second Sunday after Trinity in 1724, the congregation at the Thomaskirche in Leipzig heard Johann Sebastian Bach’s new cantata that began with the words Ach Gott. Bach set the word Gott to the most dissonant triad known at the time: the...

It has been said that the goals of modern mathematics are recon­struction and development.1 The unifying conjectures between number theory and representation theory that Robert Langlands, Professor Emeritus in the School of Mathematics, articulated...