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 ...

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 ...

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 ...

Our research group is concerned with two lines of investigation: the construction and study of (new) cohomology theories for algebraic varieties and the study of various aspects of the Langlands ...

The proof Wiles finally came up with (helped by Richard Taylor) was something Fermat would never have dreamed up. It tackled the theorem indirectly, by means of an enormous bridge that mathematicians ...

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 ...

Mathematicians have figured out how to expand the reach of a mysterious bridge connecting two distant continents in the mathematical world. The proof Wiles finally came up with (helped by Richard ...