Algebraic geometry has long provided a deep framework for understanding the solutions of polynomial equations through geometric lenses. In recent years, tropical geometry – a relatively young field – ...

Arithmetic geometry is a vibrant field at the intersection of number theory and algebraic geometry, focussing on the study of polynomial equations and the distribution of their rational solutions.

Landmark results in geometry and number theory marked an exciting year for mathematics, at a time when advances in artificial intelligence are starting to transform the subject’s future. In May, a ...