Arithmetic geometry of curves stands at the crossroads of algebraic geometry and number theory, offering a rigorous framework for analysing algebraic curves defined over number and finite fields. This ...

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 ...

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 ...

Ever since Danica McKellar, the actor (best known for playing Winnie in The Wonder Years) and UCLA-trained mathematician, began her New York Times -bestselling series of math books for girls in 2007, ...

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.

Four researchers have recently come out with a model that upends the conventional wisdom in their field. They have used intensive computational data to suggest that for decades, if not longer, ...