Equiangular lines are an elemental part of geometry. Mathematicians have discovered a tighter limit on the number of such lines that exist in every dimension.
Powerful new quantitative tools are now available to combat partisan bias in the drawing of voting districts.
In order to fully understand the quantum world, we may have to develop a new realm of mathematics.
When a German retiree proved a famous long-standing mathematical conjecture, the response was underwhelming.
For centuries, mathematicians tried to solve problems by adding new values to the usual numbers. Now they’re investigating the unintended consequences of that tinkering.
For Sylvia Serfaty, mathematics is all about truth and beauty and building scientific and human connections.
When two mathematicians raised pointed questions about a classic proof that no one really understood, they ignited a years-long debate about how much could be trusted in a new kind of geometry.
The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them.
By folding fractals into 3-D objects, a mathematical duo hopes to gain new insight into simple equations.
An unexpected connection has emerged between the results of physics experiments and an important, seemingly unrelated set of numbers in pure mathematics.