Differential geometry is a pivotal field of mathematics that examines the properties of curves, surfaces and more general manifolds by utilising methods from calculus and linear algebra. Its ...

Algebraic Structures and Combinatorial Geometry represent an increasingly interwoven field that harnesses the rigour of algebra with the spatial intuition of geometry. At its core, the study explores ...

Researchers have devised a straightforward method to probe the band geometry using ultracold atoms in an optical lattice. MPQ/LMU scientists devise new interferometer to probe the geometry of band ...

These are not the kinds of objects that concern Scott Sheffield. Sheffield, a professor of mathematics at the Massachusetts Institute of Technology, studies shapes that are constructed by random ...