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 ...

A team at Los Alamos National Laboratory has completed a mathematical framework for human color perception that Nobel Prize-winning physicist Erwin Schrodinger first sketched more than a century ago.

What is color theory? Learn how modern geometry has confirmed physicist Erwin Schrödinger’s 100-year-old color theory, ...

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 ...

Artificial intelligence has formally verified the prizewinning proof that solved the sphere packing problem in eight dimensions, a result closely tied to Maryna Viazovska’s Fields Medal. The ...

Efficient Large Displacement/Large Rotation Dynamic Simulations Using Nonlinear Dynamic Substructures Utilizing reduced-order ...

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 ...

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 ...