I. Analysis

I.1 Microstructures and phase transitions (Luckhaus, Müller)

I.2 Mathematical theory of capillarity (Miersemann)

I.3 Efficient computation of the energy of magnetization (Hackbusch)

I.4 Stochastic Processes and application in natural sciences and mathematics of finance
(Frey, König, Schmidt)

I.5 Neural networks and complex systems (Der, Jost)

II. Geometry

II.1 Symplectic Geometry and Hamltonian dynamical systems (Schwarz) 

II.2 Mirror symmetry (Schwarz)

II.3 Castelnuovo-Mumford-regularity (Gräbe, Stückrad)

II.4 Variational problems in geometry in physics (Jost) 

II.5 Conformal symmetries: Spinors, twistors and quantum field theory (Prüfer, Rademacher, Sibold)

II.6 Positive curvature in Finsler geometry (Rademacher)

II.7 L^2 estimates on  CR-manifolds (Brinkschulte)