Geometry has surprising consequences for the behaviour of matter. Living in three dimensions, we're familiar with liquids that abruptly freeze into solids, or crystals under pressure that suddenly ...

New research by University at Buffalo and University of Colorado Boulder mathematicians has uncovered and characterized novel two-dimensional wave patterns — waves that propagate along two directions ...

Hopefully you have come to the conclusion that this is in fact impossible. The reason for this is that length and area have different units, and quantities with different units cannot be added ...

Karen Uhlenbeck, whose seminal work helped launch an entire field of mathematics, was awarded the Abel Prize today in an announcement made from Oslo. The prize, created by the Norwegian Academy of ...

Develops and analyzes approximate methods of solving the Bayesian inverse problem for high-dimensional dynamical systems. After briefly reviewing mathematical foundations in probability and statistics ...

One hundred twenty years after it was first discovered, mathematicians have successfully mapped out a 248-dimensional object called E8. The complete description of E8—one of the most complicated ...

What fascinated me and brought me into analysis was the idea that you could have infinitely dimensional linear spaces that are not just the calculus of one or two variables, says Senior University ...