Dr. Langlands won the Abel Prizein 2018, a top honor in mathematics, for his groundbreaking work connecting representation theory to number theory.
The Program aims to link two distant areas of mathematics: number theory and harmonic analysis.
Number theory studies numbers and their relationships, focusing on arithmetic.
Harmonic analysis explores periodic phenomena, dealing with continuous mathematical objects such as waves, in contrast to the discrete arithmetic of number theorists who work with integers.