Scalar curvature and Q-curvature of random metrics

Slides of talk given at the CMS Winter 2010 Meeting held at Vancouver (December 4-6, 2010).

Q-curvature of random metrics

Poster presented in the “International Conference on Spectral Geometry” at Dartmouth College (July 19-23, 2010).

Spectrum of the Laplacian: A semiclassical approach

My bachelor's thesis (2008), on the distribution of eigenfunctions of the Laplacian, under the supervision of Federico Rodriguez-Hertz.

Slides of the presentation.

Notes:

1. 1. Jacobi fields and conjugate points

2. 2. Spreading of Geodesics

3. 3. Normal coordinates

4. 4. Results and definitions in Differential Geometry

5. 5. The Laplacian in Riemmanian Manifolds (bachelor’s thesis of Janine Bachrachas)