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 ...

The study of curve arrangements in the framework of algebraic geometry examines configurations of algebraic curves—ranging from lines to higher degree entities—in projective spaces, where intricate ...

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 ...

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.

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, ...