Paul A. Loya
Associate Professor
Department of Mathematics and Statistics
Background
The underlying theme of Professor Paul Loya鈥檚 research is the investigation of topological, geometric and spectral invariants of (singular) Riemannian manifolds using techniques from partial differential equations. For example, the Euler characteristic of a surface is a topological invariant based on its usual definition in terms of a triangulation of the surface. However, it may also be considered geometric in view of the Gauss-Bonnet theorem or spectral in view of the Hodge theorem. Loya is also particularly interested in such relationships on general singular Riemannian manifolds.
Education
- PhD, Massachusetts Institute of Technology
- BS, Oregon State University
Research Interests
- Global and geometric analysis
- Elliptic theory of differential operators on manifolds with singularities
- Partial differential equations
Awards
- Chancellor's Award for Excellence in Teaching, 2007-2008