Ardila (SFSU, USA)
The geometry of geometries: matroid theory, old and new

Camillo De Lellis (IAS, USA)
Area-minimizing integral currents: singularities and structure

Laura DeMarco (Harvard University, USA)
Rigidity, uniformity, and the Mandelbrot set

Bernard Derrida (Collège de France, France)
The many faces of the Fisher-KPP equation

Claudia Polini (Notre Dame, USA) 
Blowup algebras

Omri Sarig (Weizmann Institute of Science, Israel)
Dynamics of Smooth Chaotic Surface Diffeomorphisms