
Graduate Materials
Open Source
Abbreviated Vitæ
Photo Gallery

Research Interests
Research Papers
Expository Papers
Undergrad Materials
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 halfintegral weight elliptic and Hilbert modular forms. Recent work has included the relationship of BruhatTits buildings to Hecke Algebras for the general linear and symplectic groups over local fields.
Current interests include: Classical elliptic and Siegel modular forms
 The study of higher rank Hecke operators and their relation to
the BruhatTits buildings for SL_{n}(K) and Sp_{n}(K),
where K is a local field.
 Orders in central simple algebras, connections to buildings
Back to the homepage
Last modified on December 07, 2008