Cahn-Hilliard and Isoperimetric Problems with Long-Range Interactions: Self-Assembly of Diblock Copolymers and Liquid Drop Models.

Voronoi Tessellations, Optimal Quantization, Generalizations, and Applications

Inverse Problems and Variational Approaches to Image Processing

Nonlocal Interaction Functionals

Anisotropic Surface Tensions and Homogenization

Grain Growth: Imaging, Statistics and the Phase Field Crystal Model

Variational Problems Associated with the Shape of Biological Membranes

Type 1 Superconductors and Ferromagnets: Scaling Laws and Branching of Domain Structures

Miscellaneous: Continuum Mechanics, Geometric Measure Theory, Conservation Laws.