Video Lectures

Equilibrium phase-space models have enabled much of what we know about the structure of the Milky Way, including global or bulk properties of Galactic dark matter. Kinematic data from the recent second data release from the Gaia mission has shown...

In the 80s Pitts-Rubinstein conjectured that certain kinds of Heegaard surfaces in three-manifolds can be isotoped to index 1 minimal surfaces. I'll describe in detail a proof of their conjecture and some applications. This is joint work with...

We consider the classical problem of prescribing the scalar curvature of a manifold via conformal deformation of the metric, dating back to works by Kazdan and Warner. This problem is mainly understood in low dimensions, where blow-ups of solutions...