Combinatorial geometry investigates the arrangement and interaction of discrete geometric objects, such as points, lines and higher-dimensional shapes, and quantifies their combinatorial properties.

Algebraic geometry codes, commonly referred to as AG codes, form a class of linear error-correcting codes constructed from algebraic curves defined over finite fields. By selecting a divisor on a ...

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 ...