Mathematics

Maria Chudnovsky reflects on her journey in graph theory, her groundbreaking solution to the long-standing perfect graph problem, and the unexpected ways this abstract field intersects with everyday life.

A tetrahedron is the simplest Platonic solid. Mathematicians have now made one that’s stable only on one side, confirming a decades-old conjecture.

Two new notions of infinity challenge a long-standing plan to define the mathematical universe.

By mathematically proving how individual molecules create the complex motion of fluids, three mathematicians have illuminated why time can’t flow in reverse.

By extending the scope of the key insight behind Fermat’s Last Theorem, four mathematicians have made great strides toward building a “grand unified theory” of math.

A new proof illuminates the hidden patterns that emerge when addition becomes impossible.

Turbulence is a notoriously difficult phenomenon to study. Mathematicians are now starting to untangle it at its smallest scales.

A new proof represents the culmination of a 65-year-old story about anomalous shapes in special dimensions.

Mathematicians have started to prepare for a profound shift in what it means to do math.