My current research concerns the theory and computation of Siegel
modular forms. Complex analytic techniques are the main tool although,
besides being a part of several complex variables and transcendental
algebraic geometry, the field of automorphic functions increasingly
falls under the domain of number theory. I also publish
results in the geometry of numbers, although I do not stray far from
applications to Siegel modular forms.
In the past I have published in the fields of mixed Hodge theory, Riemann surfaces,
theta functions and particle coagulation. I may
return to these fields and write up unpublished results but currently I
am completely occupied with questions about Siegel modular forms.
(To read more, please click here for my
research summary in PDF format.)
On the left navigation panel, you can click the links for the lists of my academic
publications,
talks given at conferences
and
references that I use for my research work.