(Phys.org) —Soap films with complex shapes shed light on the formation of mathematical singularities, which occur in a broad range of fields. The way in which soap films collapse and re-form when ...

Mathematicians have broken through a long-standing barrier in the study of “minimizing surfaces,” which play an important role in both math and physics. In the mid-19th century, the Belgian physicist ...

Topological analysis of singularities in complex varieties examines how spaces defined by systems of polynomial equations in several complex variables fail to be smooth and how these failures ...