Mathematics is often about uncovering patterns. For example, certain areas of topology revolve around categorizing knots or geometric shapes, and number theory explores properties such as the ...

Automorphic forms lie at the heart of modern number theory and arithmetic geometry, linking analysis on symmetric spaces with deep algebraic structures. Broadly speaking, an automorphic form is a ...

Automorphic forms are highly symmetric functions on arithmetic quotients of Lie groups that generalise classical modular forms and encode deep number-theoretic and representation-theoretic information ...