Noncommutative geometry offers a radical reformulation of traditional geometrical concepts by replacing the classical notion of a manifold with a noncommutative algebra of coordinates. This approach ...

Running a single physics simulation can take hours or days, depending on the complexity of the geometry and the equations ...

After some serious number crunching, a researcher says that he has come up with a mathematical model for a viable time machine: a Traversable Acausal Retrograde Domain in Space-time (TARDIS). He ...

In the third century BCE, Apollonius of Perga asked how many circles one could draw that would touch three given circles at exactly one point each. It would take 1,800 years to prove the answer: eight ...

For decades, generations of Americans took the same basic high school math track. Algebra. Geometry. Algebra 2. Now, school districts across the country are overhauling their approach, combining ...

Symplectic geometry is a relatively new field with implications for much of modern mathematics. Here’s what it’s all about. In the early 1800s, William Rowan Hamilton discovered a new kind of ...

Debates over how geometry is understood and learned date back at least to the days of Plato, with more recent scholars ...