The study of automorphic forms and Lie theory stands at the intersection of analysis, geometry and arithmetic, providing a unifying framework that connects the spectral theory of differential ...

Automorphic forms and L-functions have long stood at the heart of modern number theory and representation theory, providing a profound link between symmetry, arithmetic, and spectral analysis.

If φ is a generic cubic metaplectic form on GSp(4), that is also an eigenfunction for all the Hecke operators, then corresponding to φ is an Euler product of degree 4 that has a functional equation ...

In a special case our unitary group takes the form $G = \{g \in \mathrm{GL}(p + 2, C)\mid^t\bar gRg = R\}$. Here $R = \begin{pmatrix}S & 0 & 0 \\ 0 & 0 & 1 \\ 0 & -1 ...

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 ...

I study automorphic forms, which lie at the intersection of number theory and harmonic analysis. In particular, I'm interested in the interplay between the Fourier theory of automorphic forms and the ...