1. Area of research
Broadly speaking, my research is in geometric analysis: conformal geometry, partial differential equations,
the calculus of variations, and global differential geometry.
Some of my recent work has focused on higher order variational problems which arise in mathematical physics.
For example, the regularized determinant is a quantity defined in terms of the spectrum of a geometric
partial differential operator. We are interested in the global variational properties of this action, and the existence
and geometric properties of critical points.
2. Keywords
3. Current PhD students
4. Former PhD students