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

This book presents a treatment of the theory of L-functions developed by means of the theory of Eisenstein series and their Fourier coefficients, a theory which is usually referred to as the Langlands ...

Assistant Professor of Mathematics Spencer Leslie—who did his graduate studies in the department where he now teaches—has won a National Science Foundation CAREER Award that will enable him to ...

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The Langlands program provides a beautifully intricate set of connections between various areas of mathematics, pointing the way toward novel solutions for old problems. Not long ago, I was asked to ...