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Research Interests

My research is in the general area of algebraic number theory with a particular interest in the theory of modular forms. I have used the arithmetic of quaternion algebras to address questions of the representability of modular forms by theta series, and to characterize the representation numbers of quadratic forms. Other work has included aspects of the theory of newforms for integral and half-integral weight elliptic and Hilbert modular forms. Recent work has included the relationship of Bruhat-Tits buildings to Hecke Algebras for the general linear and symplectic groups over local fields.

Current interests include:

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Last modified on December 07, 2008