Algebraic complexity addresses the fundamental question of how efficiently one can compute polynomials and related algebraic objects. It employs models such as arithmetic circuits, branching ...

When Lisa Piccirillo solved a decades-old mystery about the “Conway knot,” she had to overcome the knot’s uncanny ability to hoodwink some of the most powerful tools mathematicians have devised. Known ...

Invariant distances lie at the heart of complex geometry, providing intrinsic measures of separation between points in complex manifolds that remain unchanged under biholomorphic mappings. Chief ...

Informally, a dynamic system is any physical system that evolves with time (e.g., a pendulum, a planet orbiting the sun, the weather, etc). From a more mathematically precise perspective, one can ...