Automorphic L-functions lie at the confluence of number theory, harmonic analysis and representation theory. These functions generalise the classical Riemann zeta function and are constructed from ...

We describe a new method to estimate the trilinear period on automorphic representations of PGL₂(ℝ). Such a period gives rise to a special value of the triple L-function. We prove a bound for the ...

We introduce the notion of automorphic symbol generalizing the classical modular symbol and use it to attach very general p-adic L-functions to nearly ordinary Hilbert automorphic forms. Then we ...

Like a non-competitive Olympics of math, the International Congress of Mathematicians is held every four years, in a different city each time. By invitation only, top mathematicians from around the ...

A new magnum opus posits the existence of a hidden mathematical link akin to the connection between electricity and magnetism. In 2018, as he prepared to be awarded the Fields Medal, math’s highest ...