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:
- Classical elliptic and Siegel modular forms
- The study of higher rank Hecke operators and their relation to
the Bruhat-Tits buildings for SLn(K) and Spn(K),
where K is a local field.
- Orders in central simple algebras, connections to buildings
Last modified on 24 Feb 2008 by
trs.