Algebraic curves defined over finite fields have long been a rich source of enquiry, bridging abstract algebra, geometry and number theory. Their automorphism groups, which consist of self-symmetries ...

Eric Larson and Isabel Vogt have solved the interpolation problem — a centuries-old question about some of the most basic objects in geometry. Some credit goes to the chalkboard in their living room.

Low-dimensional topology, hyperbolic geometry and 3-manifolds, knot theory, contact geometry, curve complex and mapping class group. Low-dimensional topology, hyperbolic geometry and 3-manifolds, knot ...

A square is drawn under a sine wave with its corners tangent to the curve. The amplitude of the sine wave a is 1.069489199 units. Find the area A of the square, given the curve is measured in radians.

When your project for the day is painting a room, you probably don’t reach for a calculator. And if any math does come up, it’s likely the stuff you’ve known since grade school: Estimate the area of ...