Algebraic structures in singularity theory provide a rigorous framework for classifying and analysing points at which algebraic varieties fail to be smooth. Central to this endeavour are local ...

Four Fields Medals were awarded for major breakthroughs in geometry, combinatorics, statistical physics and number theory, even as mathematicians continued to wrestle with how computers are changing ...

Mathematical truths are often born of the conflict between order and disorder. Mathematicians discover patterns, and, to better understand the mysterious forces at play, they look for countervailing ...