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 ...

Using high school algebra and geometry, and knowing just one rational point on a circle or elliptic curve, we can locate infinitely many others. You’re sitting at the end of a long conference table, ...

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.

In mid-March, the mathematicians Joshua Greene and Andrew Lobb found themselves in the same situation: locked down and struggling to adjust while the COVID-19 pandemic grew outside their doors. They ...