I: Bubbling Phenomena.- Bubbles over Bubbles: A C,0-theory for the Blow-up of Second Order Elliptic Equations of Critical Sobolev Growth.- Applications of Scans and Fractional Power Integrands.- Bubbling of Almost-harmonic Maps between 2-spheres at Points of Zero Energy Density.- II: Evolution of Maps and Metrics.- Heat Flow into Spheres for a Class of Energies.- Singularity Models for the Ricci Flow: An Introductory Survey.- A Family of Expanding Ricci Solitons.- Evolution by Curvature of Networks of Curves in the Plane.- III: Harmonic Mappings in Special Geometries.- Harmonic Maps in Complex Finsler Geometry.- Regularity of Harmonic Maps from a Flat Complex.