Symmetry

Even in an incomplete state, quantum field theory is the most successful physical theory ever discovered. Nathan Seiberg, one of its leading architects, talks about the gaps in QFT and how mathematicians could fill them.

The accelerating effort to understand the mathematics of quantum field theory will have profound consequences for both math and physics.

It has been thought of as many things: a pointlike object, an excitation of a field, a speck of pure math that has cut into reality. But never has physicists’ conception of a particle changed more than it is changing now.

Three mathematicians have resolved a fundamental question about straight paths on the 12-sided Platonic solid.

By translating Keller’s conjecture into a computer-friendly search for a type of graph, researchers have finally resolved a problem about covering spaces with tiles.

Representation theory was initially dismissed. Today, it’s central to much of mathematics.

The legendary mathematician, who died on April 11, was curious, colorful and one of the greatest problem-solvers of his generation.

The first official evidence of a key imbalance between neutrinos and antineutrinos provides one of the best clues for why the universe contains something rather than nothing.

Explore our surprisingly simple, absurdly ambitious and necessarily incomplete guide to the boundless mathematical universe.