Publications

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, Variational Approaches to Image Processing, and the Principle of Maximum Entropy

Nonlocal Interaction Functionals, Bond Potentials

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

Anisotropic Surface Tensions and Homogenization

Variational Problems Associated with the Shape of Biological Membranes

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

Continuum Mechanics, Geometric Measure Theory, Conservation Laws.

Other